In the trapezoid below, QR is parallel to NO. If NP = 9, QP = 7.2, NO = 8,
and PO 6, find the length of PR. Figures are not necessarily drawn to scale.
=
Answer: PR=
R
Q
Submit Answer

In The Trapezoid Below, QR Is Parallel To NO. If NP = 9, QP = 7.2, NO = 8,and PO 6, Find The Length Of

Answers

Answer 1

The length of PR is 4.8 units.

Describe Trapezoid?

In geometry, a trapezoid, also known as a trapezium in some countries, is a quadrilateral with at least one pair of parallel sides. The parallel sides are called the bases of the trapezoid, while the non-parallel sides are called the legs. The angle between the bases of a trapezoid determines its height.

Trapezoids can be classified into several types based on their properties, such as:

Isosceles trapezoid: a trapezoid with congruent legs.

Right trapezoid: a trapezoid with a right angle between one of its legs and one of its bases.

Scalene trapezoid: a trapezoid with no congruent sides.

Since QR is parallel to NO, we have:

∆PNQ ~ ∆PRO (by AA similarity)

So we can write:

PR/PQ = PO/PN

PR/7.2 = 6/9

PR = 7.2 × 6/9

PR = 4.8

Therefore, the length of PR is 4.8 units.

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Related Questions


If the equations x² - 5x+6=0 and X² + ax +6=0 common roots, find the Value a​

Answers

Answer:

Step-by-step explanation:

19. Solve for X.
20. solve for x
what is the answers?
thank you​

Answers

Answer:

19. x = 60

20. x= 27

Step-by-step explanation:

19. Given 2 triangles are congruent

so BQ/BC = BR/BD

30/84 = x/168

84x = 30(168)

84x = 5040

x = 5040/84 = 60

20. Given 2 triangles are congruent

QS/QP = ST/PR

18/x = 10/15

10x = 18(15)

10x = 270

x = 270/10 = 27

find the equilibrium quantity and equilibrium price for the demand and supply functions
supply p= 0.2q²+0.4q+1.8
Demand p = -0.1q²-0.2q+9​

Answers

Answer:

Step-by-step explanation:

To find the equilibrium quantity and equilibrium price for the demand and supply functions, we need to find the point where the quantity demanded and the quantity supplied are equal. This point is known as the equilibrium point and is represented by the intersection of the demand and supply curves.

The demand function is given by p = -0.1q²-0.2q+9, and the supply function is given by p = 0.2q²+0.4q+1.8.

To find the equilibrium quantity, we need to set the quantity demanded equal to the quantity supplied:

-0.1q²-0.2q+9 = 0.2q²+0.4q+1.8

Simplifying and rearranging the terms, we get:

0.3q² + 0.6q - 7.2 = 0

Using the quadratic formula, we can solve for q:

q = (-0.6 ± √(0.6² - 4(0.3)(-7.2))) / (2(0.3))

q = (-0.6 ± √(0.6² + 8.64)) / 0.6

q = (-0.6 ± √9.36) / 0.6

q = (-0.6 ± 3.06) / 0.6

q = 4.6, -5.0

Since the quantity cannot be negative, the equilibrium quantity is q = 4.6.

To find the equilibrium price, we can substitute the equilibrium quantity into either the demand or supply function:

p = 0.2q²+0.4q+1.8

p = 0.2(4.6)²+0.4(4.6)+1.8

p = 7.82

Therefore, the equilibrium quantity is 4.6 units and the equilibrium price is $7.82.

The ratio of berries to oranges is 10:1. If there are 9 oranges, how many berries are there?​

Answers

Answer:

90  berries

Step-by-step explanation:

There are 90 berries. Boss

two triangles are similar if they have two corresponding angles that are congruent or equal in measure

Answers

Your statement is partially correct congruent .

Two triangles are similar if they have all three corresponding angles congruent or equal in measure, or if they have two corresponding angles congruent and the corresponding sides are in proportion (i.e., the ratio of the length of one side to the length of the corresponding side in the other triangle is constant). This is known as the Angle-Angle Similarity Theorem (AA Similarity), or the Angle-Side-Angle Similarity Theorem (ASA Similarity).

It is important to note that if only one pair of corresponding angles is congruent, the triangles are not necessarily similar. For example, two right triangles with one acute angle congruent are not necessarily similar, since the other acute angles are not congruent. Similarly, if two triangles have all three sides in proportion, they are not necessarily similar unless all three corresponding angles are also congruent.

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24. Higher Order Thinking Tamar is thinking
Her
of a number in the hundredths.
number is greater than 0.8 and less than
0.9. The greatest digit in the number is in
the hundredths place. What number is
Tamar thinking of? Explain.

Answers

Answer:

Below

Step-by-step explanation:

.89      '9' is in the hundredths place and is greater than 8

How many positive odd integers less than 10000 can be written using the digits 3 4 6 8 and 0.

Answers

Answer:

Step-by-step explanation:

125.

som3one please help me solve this​

Answers

Answer:

see explanation

Step-by-step explanation:

using the rules of radicals

• [tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

• [tex]\sqrt{\frac{a}{b} }[/tex] ⇔ [tex]\frac{\sqrt{a} }{\sqrt{b} }[/tex]

(1)

[tex]\sqrt{108}[/tex]

= [tex]\sqrt{36(3)}[/tex]

= [tex]\sqrt{36}[/tex] × [tex]\sqrt{3}[/tex]

= 6[tex]\sqrt{3}[/tex]

(2)

[tex]\sqrt{14}[/tex] × [tex]\sqrt{35}[/tex]

= [tex]\sqrt{14(35)}[/tex]

= [tex]\sqrt{490}[/tex]

= [tex]\sqrt{49(10)}[/tex]

= [tex]\sqrt{49}[/tex] × [tex]\sqrt{10}[/tex]

= 7[tex]\sqrt{10}[/tex]

(3)

[tex]\sqrt{\frac{28}{64} }[/tex]

= [tex]\frac{28}{\sqrt{64} }[/tex]

= [tex]\frac{\sqrt{28} }{8}[/tex]

= [tex]\frac{\sqrt{4(7)} }{8}[/tex]

= [tex]\frac{\sqrt{4}(\sqrt{7}) }{8}[/tex]

= [tex]\frac{2\sqrt{7} }{8}[/tex]

= [tex]\frac{\sqrt{7} }{4}[/tex]

Ms. Keenan is a high school teacher who wants to know how much time students spend studying each day. She finds that the average student spends 3.00 hours a day studying (s - 0.75). Assuming that studying hours is normally distributed, what percentage of students study less than 2.50 hours a day?
© 25.14 percent
© 19.15 percent
© 10.93 percent
© 24.86 percent

Answers

The requried, percentage of students who study less than 2.50 hours a day is approximately 25.14 percent.

What is the Z -a score?

A Z-score is stated as the fractional model of data point to the mean using standard deviations.

We need to convert 2.50 hours to a standard score (z-score) using the formula,

z = (x - μ) / σ

where x is the value we want to convert, μ is the mean, and σ is the standard deviation.

z = (2.50 - 3.00) / 0.75

z = -0.67

This means that 2.50 hours is 0.67 standard deviations below the mean.

We can use a standard normal distribution table or a calculator to find the percentage of the distribution that falls below this standard score. For example, using a standard normal distribution table, we can look up the area to the left of z = -0.67 and get:

P(z < -0.67) = 0.2514

So the correct answer is (a) 25.14 percent.

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Solve the equation |2x-3| +7 =10
Simplify all fractions as much as possible. Express your answer as an integer or fraction, and not as a decimal. If the answer is a fraction, provide the answer as "a/b". Do not leave spaces between characters.

Answers

The values of x are 3 or 0. 3 and 0 will satisfy the equation |2x-3| +7 =10.

What is an absolute function?

A function that wraps an algebraic expression in absolute value symbols is known as an absolute value function. Remember that a number's distance from 0 on the number line represents its absolute value. The parent function with an absolute value is defined as f(x)=| x |.

Given equation is

|2x-3| +7 =10

Subtract 7 from both sides:

|2x-3| +7 - 7 = 10 - 7

|2x-3| = 3

Applying absolute function:

Either, 2x-3 = 3         or, 2x-3 = -3

Add 3 on both sides:

2x = 6                         2x = 0

Divide both sides by 2:

x = 3      or     x = 0

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if my bill is 25.00 and I get a 10% discount what is my new bill

Answers

Answer:  22.50

Step-by-step explanation:

25 x 0.1

25 - 2.5

Answer:

The correct answer is 22.50

A certain company creates handmade ceramic decorative pieces. Because they are handmade, each piece is unique. The following data represents the number pieces created by a certain craftsman on eight days, \( x \), and the total weight of the pieces in ounces, y. A table of the number of crafts, \( x \), and the number of ounces, \( y \) Part 1: Complete the following table (The last column is for your sums): A table of the number of rrafte \( x \) and the numher of aunroe is
Part 1: Complete the following table (The last column is for your sums): A table of the number of crafts. \( x \) a and the number of ounces. \( v \) Part 2: Use the sums from the table in Part 1 along with the Correlation Coefficient formula to find the Correlation Coefficient. (Make sure you have read the quiz directions)

Answers

The values to put in the box will be:

x

y

x.y

x^2

y^2

4

19

76

16

361

9

46

414

81

2116

7

30

210

49

900

6

31

186

36

961

5

23

115

25

529

5

28

140

25

784

4

21

84

16

441

8

42

336

64

1764

total

48

240

1561

312

7856

How to explain the sample size

The sample size is the number of observations used for determining the estimations of a given population.

The size of the sample has been drawn from the population. Sampling is the process of selection of a subset of individuals from the population to estimate the characteristics of the whole population.

Inthi case, sample size n = 8 and the correlation coefficient is 0.9643.

The appropriate values are given above.

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Which of the following mathematical relationship could be found in a linear programming model, and which could not? For the relationships that are unacceptable for linear programs, state why?
A. -1A+2B less than or equal to 70
B. 2A -2B= 50
C. 1A-2B^2 less than or equal to 10
D. 3(square root of) A + 2B greater than or equal to 15
E. 1A+1B=6
F. 2A+5B+1AB less than or equal to 25

Answers

In summary, A, B, E are valid linear programming relationships, while C, D, F are not.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

A. -1A+2B less than or equal to 70: This is a valid linear programming relationship, and it can be included in a linear programming model. The domain for A and B can be any non-negative real number.

B. 2A -2B= 50: This is a valid linear programming relationship, and it can be included in a linear programming model. The domain for A and B can be any non-negative real number.

C. 1A-2B^2 less than or equal to 10: This relationship is not acceptable for a linear programming model because it contains a quadratic term, B^2. Linear programming models can only have linear relationships, i.e., relationships with variables raised to the first power.

D. 3(square root of) A + 2B greater than or equal to 15: This relationship is not acceptable for a linear programming model because it contains a square root function. Linear programming models can only have linear relationships, i.e., relationships with variables raised to the first power.

E. 1A+1B=6: This is a valid linear programming relationship, and it can be included in a linear programming model. The domain for A and B can be any non-negative real number.

F. 2A+5B+1AB less than or equal to 25: This relationship is not acceptable for a linear programming model because it contains a product of variables, AB. Linear programming models can only have linear relationships, i.e., relationships with variables raised to the first power.

Therefore, In summary, A, B, E are valid linear programming relationships, while C, D, F are not.

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Top 10 Most Expensive Colleges Listed below are the annual tuition amounts of the 10 most expensive colleges in the United States for a recent year. The colleges listed in order are Sarah Lawrence, NYU, George Washington, Bates, Skidmore, Johns Hopkins, Georgetown, Connecticut College, Harvey Mudd, and Vassar. Can this "Top 10" list tell us anything about the standard deviation of the population of all U.S. college tuitions? $54,410 $51,991 $51,730 $51,300 $51,196 $51,190 $51,122 $51,115 $51,037 $50,875

Answers

The Standard deviation of the given data is 989.615.

What is Standard Deviation?

The term "standard deviation" refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

We have data as

$54,410, $51,991, $51,730, $51,300, $51,196, $51,190, $51,122, $51,115, $51,037 and $50,875.

Also we have

Count, N: 10

Sum, Σx: 515966

Mean, μ: 51596.6

Now, using the formula of Standard Deviation

= √1/ N[tex]\sum_{i=1}^n (x_i- \mu)[/tex]²

= (54410 - 51596.6)² + (51991 - 51596.6)² +(51730 - 51596.6)² + (51300 - 51596.6)²+ (51122- 51596.6)² + (51115- 51596.6)² + (51037- 51596.6)² + (50875 - 51596.6)² / 10

= √9793384.4 /10

= √979338.44

= 989.615

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Julia is the oldest of three siblings whose ages are consecutive integers. If the sum of their ages is 4242, find julia's age.

Answers

The age of Julia is 13 years.

Integers are whole numbers, including both positive and negative numbers, that do not have any fractions or decimals. In mathematics, integers are often used to represent real-world quantities such as age, time, and money.

In this problem, Julia is the oldest of three siblings whose ages are consecutive integers. We can represent this using the equation x + (x+1) + (x+2) = 42, where x is Julia's age.

To solve this equation, we can use the distributive property to expand the left side of the equation to 3x + 3 = 42.

We can then subtract 3 from both sides of the equation to get 3x = 39. Finally, we can divide both sides by 3 to get x = 13.

Therefore, Julia's age is 13.

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Complete Question:

Julia is the oldest of three siblings whose ages are consecutive integers. If the sum of their ages is 42, find Julia's age.

help pls!
A homeowner would like to spread shredded bark (mulch) over her flowerbeds. She has three flowerbeds measuring 24 ft by 3.1 ft, 14 ft by 4.3 ft, and 30 ft by 1.5 ft. The recommended depth for the mulch is 4 inches, and the shredded bark costs $27 per one cubic yard. How much will it cost to cover all of the flowerbeds with shredded bark? (Note: You cannot buy a portion of a cubic yard of mulch. Assume that there are 27 ft³ in a yd³.)​

Answers

If a homeowner would like to spread shredded bark (mulch) over her flowerbeds. it will cost $65.07 to cover all the flowerbeds with shredded bark.

How to find the cost?

To calculate the amount of mulch needed, we need to find the volume of each flowerbed and add them together. The recommended depth for the mulch is 4 inches, which is equal to 4/12 = 1/3 feet.

For the first flowerbed, the volume of mulch needed is:

24 ft x 3.1 ft x 1/3 ft = 24.8 cubic feet

For the second flowerbed, the volume of mulch needed is:

14 ft x 4.3 ft x 1/3 ft = 20.87 cubic feet

For the third flowerbed, the volume of mulch needed is:

30 ft x 1.5 ft x 1/3 ft = 15 cubic feet

The total volume of mulch needed to cover all three flowerbeds is:

24.8 cubic feet + 20.87 cubic feet + 15 cubic feet = 60.67 cubic feet

Since there are 27 cubic feet in a cubic yard, the total amount of mulch needed is:

60.67 cubic feet / 27 cubic feet per cubic yard = 2.25 cubic yards

At a cost of $27 per cubic yard, the total cost of the mulch is:

2.25 cubic yards x $27 per cubic yard = $60.75

Therefore, it will cost $60.75 to cover all of the flowerbeds with shredded bark.

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if 2 apples can be bought in Rs 48 , how many apples can be bought in Rs 1098 ?

don't spam-
tysm! :)​

Answers

Answer:

Rs 1098 can buy 45.75 apples (or approximately 45 apples, since we cannot buy a fractional part of an apple).

Step-by-step explanation:

We can use proportionality to solve this problem. Since the price of apples is directly proportional to the number of apples, we can set up a proportion:

2 apples / Rs 48 = x apples / Rs 1098

To solve for x, we can cross-multiply and simplify:

2 * Rs 1098 = 48 * x

Rs 2196 = 48x

x = Rs 2196 / 48

x = 45.75

Therefore, Rs 1098 can buy 45.75 apples (or approximately 45 apples, since we cannot buy a fractional part of an apple).

Find the value of
X
Z
Y

Answers

Answer:

x = 40° , y = 43° , z = 97°

Step-by-step explanation:

∠ DAC = y = ∠ ACB = 43°

• opposite angles in a parallelogram are congruent , then

z = ∠ D = 97°

the sum of the 3 angles in Δ ACD = 180° , that is

x + y + 97° = 180°

x + 43° + 97° = 180°

x + 140° = 180° ( subtract 140° from both sides )

x = 40°

then

x = 40° , y = 43° , z = 97°

A tourist buys 5 pieces of Nepali cap at Rs 452 per piece including VAT. How much will he receive while leaving Nepal?​

Answers

Answer:

To determine how much the tourist will receive while leaving Nepal, we need to know the total cost of the 5 Nepali caps including VAT, and then subtract any taxes or fees that the tourist may have paid when purchasing the caps.

Given that the tourist bought 5 Nepali caps at a cost of Rs 452 per piece including VAT, we can calculate the total cost of the caps as:

Total cost of 5 Nepali caps = 5 x Rs 452 = Rs 2260

Since the cost already includes VAT, we do not need to add any additional taxes or fees.

Therefore, if the tourist does not make any additional purchases or incur any other expenses while in Nepal, they will receive back Rs 2260 when leaving Nepal.

Rectangles S and T are similar. If the area of rectangle S is 150, what is the area of rectangle T?

Answers

If rectangles S and T are similar then the area of rectangle T is 96 units².

What is area?

An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure.

Since the rectangles S and T are similar, their corresponding sides are proportional.

Let the length of rectangle T be "x" units. Then -

width of S / width of T = length of S / length of T

Using the given values -

16/9.6 = (√160) / (√x)

Simplifying this equation it is obtained-

x = (9.6/16) × (√160)²

x = 10

Therefore, the length of rectangle T is 10 units.

The area of rectangle T is then -

Area of T = width of T × length of T

Area of T = 9.6 × 10

Area of T = 96 units²

Therefore, the area of rectangle T is 96 units².

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All the 62 students in SSS1 of a named school take either make mathematics or physics or chemistry.40 take mathematics,42 take physics,38 take chemistry,20 take mathematics and physics,28 take physics and chemistry while 25 take mathematics and chemistry.how many take all the three subject. mathematics but neither physics not chemistry?

Answers

There are total 15 students who take all three subjects.

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

We know that;

n(A ∪ B ∪ C) = n(A) + n(B) + n(C) - n(A ∩ B) - n(B ∩ C)- n(A ∩ C)+ n(A∩B ∩C)

Here, Total number of students in the school = 62

Hence, By using theorem;

n(A ∪ B ∪ C) = n(A) + n(B) + n(C) - n(A ∩ B) - n(B ∩ C)- n(A ∩ C)+ n(A∩B ∩C)

Here, Let n(A) = Mathematics, n(B) =Physics and n(C) = Chemistry

so putting values,

62 =  40 + 42 + 38 - 20 - 28 - 25 + n(A∩B ∩C)

62 + 73 - 120 = n(A∩B ∩C)

n(A∩B ∩C) = 15

Therefore, There are total 15 students who take all three subjects.

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Rewrite the recipe so that it will make 1/4 as much by multiplying the amount of each ingredient by 1/4, so this will make a small amount.

The recipe is :
2/4 cups pretzels
3/4 cup nuts of your choice
1/2 cup raisins
1/3 cup chocolate chips (optional)

Answers

Answer:

[tex]\frac{1}{8}[/tex] cup pretzels, [tex]\frac{3}{16}[/tex] cup nuts of your choice, [tex]\frac{1}{8}[/tex] cup raisins, [tex]\frac{1}{12}[/tex] cup chocolate chips (optional)

Step-by-step explanation:

What is a fraction?

A fraction is a fragment of a whole number, used to define parts of a whole. The whole can be a whole object, or many different objects. The number at the top of the line is called the numerator, whereas the bottom is called the denominator.

If we need to multiply the fractions in the recipe by [tex]\frac{1}{4}[/tex], we just need to multiply the denominator by 4.

[tex]\frac{2}{4}[/tex] cups pretzels becomes [tex]\frac{2}{16}[/tex] or [tex]\frac{1}{8}[/tex].

This is because the denominator (4) is multiplied by 4 to get 16. The numerator doesn't change.

[tex]\frac{3}{4}[/tex] cup nuts becomes [tex]\frac{3}{16}[/tex].

This is because the denominator (4) is multiplied by 4 to get 16. The numerator doesn't change.

[tex]\frac{1}{2}[/tex] cup raisins becomes [tex]\frac{1}{8}[/tex].

This is because the denominator (2) is multiplied by 4 to get 8. The numerator doesn't change.

[tex]\frac{1}{3}[/tex] cup chocolate chips becomes [tex]\frac{1}{12}[/tex].

This is because the denominator (3) is multiplied by 4 to get 12. The numerator doesn't change.

Now, the recipe looks like this:

[tex]\frac{1}{8}[/tex] cup pretzels

[tex]\frac{3}{16}[/tex] cup nuts of your choice

[tex]\frac{1}{8}[/tex] cup raisins

[tex]\frac{1}{12}[/tex] cup chocolate chips (optional)

How can $60,000 be​ invested, part at 10% annual simple interest and the remainder at 5% annual simple​ interest, so that the interest earned by the two accounts will be​ equal?

Answers

Answer:

Step-by-step explanation:

Let's assume that the amount invested at 10% is x, and the amount invested at 5% is (60000 - x), since the total investment is $60,000.

The interest earned on the 10% investment after one year would be 0.10x, and the interest earned on the 5% investment after one year would be 0.05(60000 - x).

We are given that the interest earned by the two accounts is equal, so we can set up an equation:

0.10x = 0.05(60000 - x)

Simplifying this equation, we get:

0.10x = 3000 - 0.05x

Adding 0.05x to both sides, we get:

0.15x = 3000

Dividing both sides by 0.15, we get:

x = 20000

Therefore, the amount invested at 10% is $20,000, and the amount invested at 5% is ($60,000 - $20,000) = $40,000.

To check that the interest earned is equal for both investments, we can calculate:

Interest earned on 10% investment = 0.10($20,000) = $2,000

Interest earned on 5% investment = 0.05($40,000) = $2,000

As expected, the interest earned on both investments is equal.

Determine whether the arguments are valid or invalid.
A ). She will go to school or she will get a job. She will not get a job. Therefore, she will go to school.
B). If Cathy is a gambler, then she lives in Marine. Cathy lives in Marine and she loves horses. Therefore, if Cathy does not love horses, she is not a gambler.

Answers

The statement if Cathy does not love horses, she is not a gambler is valid.

How to find the relative frequency?

Relative frequency is the ratio of the considered sub group's count to the total count. (so its frequency of the considered sub group relative to the total frequency).

We are given;

The two arguements

Now,

A). The argument is valid. This is an example of the disjunctive syllogism, which is a valid form of argument. If we have a disjunction "A or B", and we know that A is false, then we can conclude that B must be true. In this case, "she will go to school or she will get a job" is the disjunction, and "she will not get a job" tells us that "she will not get a job" is true. Therefore, we can conclude that "she will go to school" must be true.

B). The argument is invalid. This is an example of the fallacy of affirming the consequent. The conditional statement "if Cathy is a gambler, then she lives in Marine" tells us that if Cathy is a gambler, then she lives in Marine. However, it does not tell us anything about whether Cathy is a gambler or not. The fact that "Cathy lives in Marine and she loves horses" does not give us any information about whether Cathy is a gambler or not.

Therefore, by the given conditions answer "if Cathy does not love horses, she is not a gambler" will be valid

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PLEASE HELP THIS IS DUE IN AN HOUR an art supplies store sells boxes that contain colored pencils and markers. Each box has a colored pencil to marker ratio of 5 to 2. Complete the table or the missing number of colored pencils, markers, or total number of colored pencils and markers in each box for sale. *it's in box like | blank | 20 | blank |.... so on so fourth. also the blanks are what I need to figure out*

Number of Colored | blank | 20 | blank |
Pencils
Number of Markers | 6 | blank |blank|

Total Number of
Colored Pencils and | blank blank | 70 |
Markers in the Box​

Answers

Answer:

Using the ratio given, we know that for every 5 colored pencils, there are 2 markers in each box.

Therefore:

The first blank represents the number of colored pencils in the box. Since the ratio of colored pencils to markers is 5 to 2, we can calculate that there are 5 colored pencils for every 2 markers. This means that for each box, there are 5/7 of the total number of items are colored pencils. So the missing value in the first row is 25.

The second row indicates that there are 20 items in the box. We know that the first row (colored pencils) has 25 items, and since the total number of items in the box is 20, the missing value in the second row (markers) is 20 - 25/5 = 15.

The third row represents the total number of colored pencils and markers in each box. We know that there are 25 colored pencils and 15 markers in each box, so the total number of items in each box is 40.

Therefore, the completed table would be:

Number of Colored | 25 | 20 | 25 |

Pencils

Number of Markers | 6 | 15 | 6 |

Total Number of

Colored Pencils and | 31 | 35 | 40 |

Markers in the Box​

Which recursive definition describes the Fibonacci sequence?

Answers

Please mark brainlyest.

The Fibonacci numbers are defined by the following recursive formula: f0 = 1, f1 = 1, fn = fn−1 + fn−2 for n ≥ 2. Thus, each number in the sequence (after the first two) is the sum of the previous two numbers.

Two students, Student A and Student B, claim to know the correct representation of the Expression 9/y3t student a represents the expression as the product of 9 and y times the product of 3 and t student B represents the expression as the quotient of 9 and y times the sum of 3 and t both students claims are incorrect what makes each representation incorrect explain your answer

Answers

Both Student A and Student B's representations of the expression 9/y³ⁿ are incorrect.

What is expression?

In mathematics, an expression is a combination of numbers, symbols, and/or variables that are arranged in a meaningful way. An expression can represent a value, a quantity, a function, or some other mathematical object. Expressions can be made up of one or more terms. A term is a group of numbers, symbols, and/or variables that are separated by a plus or minus sign. Expressions can also include mathematical operations, such as addition, subtraction, multiplication, and division, as well as exponents and parentheses. Expressions are used in various areas of mathematics, including algebra, calculus, and statistics, to represent mathematical relationships and to solve problems.

Here,

Student A represents the expression as the product of 9 and y times the product of 3 and t, which can be written as: 9 * y * 3 * t = 27yt.

This representation is incorrect because it does not include the exponent 3 in the denominator. The correct representation of the expression is: 9 / y^3t.

Student B represents the expression as the quotient of 9 and y times the sum of 3 and t, which can be written as: 9 / y * (3 + t) = (27 + 9t) / y.

This representation is also incorrect because it incorrectly combines the sum of 3 and t in the denominator. The correct representation of the expression is: 9 / y^3t.

To represent the expression correctly, we need to include the exponent 3 in the denominator, indicating that y is being raised to the power of 3, and include t as a separate factor in the denominator. Therefore, the correct representation of the expression is: 9 / (y^3 * t).

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Answer:

Student A says prodact of Tandy, but 9 is 9 y so it's quotient.

Step-by-step explanation:

what is the answer to 7−2(3−8x)=

Answers

Answer:

x = [tex]\frac{7}{12}[/tex]

Step-by-step explanation:

[tex]7-2(3-8x)=7-6-16x[/tex]

Add/subtract like terms

[tex]5(3-8x)=1-16x[/tex]

Distribute 5

[tex]15-40x=1-16x[/tex]

Simplify

[tex]-40x+15=-16x+1[/tex]

Add -16x to both sides

[tex]-24x+15=1[/tex]

Subtract 15 on both sides

[tex]-24x=-14[/tex]

Divide by -24

[tex]x=\frac{7}{12}[/tex]

Aircraft a has 147 more seats than aircraft be. If their total number of seats is 643, find the number of seats for aAircraft a has 147 more seats than aircraft B. If their total number of seats is 643, find the number of seats for each aircraft

Answers

Aircraft A has 496 seats and Aircraft B has 347 seats.

What is number?

Number is a mathematical entity used to represent a computer magnitude it can be symbol or a combination of simple you should in order to take quantity such as the two, five, seven, three or eight number are used to verify the context including counting measuring and computing.

To find the number of seats for each aircraft, we can use the equation 643 = 496 + 147. From this equation, we can see that aircraft A has 496 seats and aircraft B has 147 seats.

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Round 317,675 to the nearest ten thousand

Answers

Answer:320000

Step-by-step explanation:

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