# 15.
Write as an equivalent fraction
with a denominator of 21.
2/3

Answer:

C

Step-by-step explanation:

Attached Picture.......

An isosceles trapezoid have two congruent slant sides.

The three correct statements are:

The isosceles trapezoid is given as: ABCD

From the diagram. the slant sides are AD and BC.

This means that:

Lengths AD and BC are congruent

Similarly, the angles at A and B, and the angles at D and C are congruent

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The revenue function is the sum of the cost and profit functions

The total amount of revenue on Sunday is $59.17

The function for the number of roses is given as:

[tex]N(d) = 6d + 25[/tex]

The price per rose is given as:

[tex]P(d) = 0.02d^2 - 0.04d + 0.49[/tex]

On Sunday, the value of d is 6.

So, we start by calculating N(6) and P(6)

[tex]N(d) = 6d + 25[/tex]

[tex]N(6)= 6 * 6 + 25[/tex]

[tex]N(6)= 61[/tex]

[tex]P(d) = 0.02d^2 - 0.04d + 0.49[/tex]

[tex]P(6) = 0.02 * 6^2 - 0.04 * 6 + 0.49[/tex]

[tex]P(6) = 0.97[/tex]

The total amount of revenue is then calculated as:

[tex]R(d) = N(d) * P(d)[/tex]

Substitute 6 for d

[tex]R(6) = N(6) * P(6)[/tex]

So, we have:

[tex]R(6) = 61 * 0.97[/tex]

[tex]R(6) = 59.17[/tex]

Hence, the total amount of revenue is $59.17

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Fractions are numbers represented by the quotients of two integers

The result of 7/9 divided by 1/3 is 7/3

The division expression is given as:

[tex]\frac 79 \div \frac 13[/tex]

Rewrite the division expression as a product

[tex]\frac 79 * \frac 31[/tex]

Evaluate the product in the above expression

[tex]\frac 73[/tex]

So, we have:

7/9 [tex]\div[/tex] 1/3 = 7/3

Hence, the result of [tex]\frac 79 \div \frac 13[/tex] is 7/3

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Answer: it's B

Step-by-step explanation:

Linear equations are equations that have constant slopes

The linear equation that represents the table is (a) y = 7x +4

Start by calculating the slope (m) using:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{-10 +17}{-2 +3}[/tex]

Simplify

[tex]m = \frac{7}{1}[/tex]

[tex]m = 7[/tex]

The equation is then calculated as:

[tex]y = m(x -x_1) + y_1[/tex]

So, we have:

[tex]y = 7(x +2) -10[/tex]

Open the brackets

[tex]y = 7x +14 -10[/tex]

[tex]y = 7x +4[/tex]

Hence, the linear equation that represents the table is (a) y = 7x +4

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Answer:

41 and 205

Step-by-step explanation:

Since the smaller number is 1/5 the larger number, the distance between the numbers is 4/5 of the larger number because (5/5 - 1/5 = 4/5).

You are given the difference, so first find the smaller number by dividing by 4:

164 = (4/5)(larger number)

164 = 4(smaller number)

41 = smaller number

Now, just multiply by 5, since 41 is 1/5 of the larger number:

41 * 5 = 205 = larger number

Optionally, check the answer by testing the difference:

205 - 41 = 164

Answer:

3

Step-by-step explanation:

Answer: 2/5 pounds

Step-by-step explanation:

Answer:

x = -1 , y= 7

Step-by-step explanation:

3х + у = 4 .....equation 1

2x + y= 5 ....equation 2

Solving using linear combination method:

---------------------------------------------------------------

3х + у = 4

-2x - y = -5

-------------------...........Here the y cancels out.

x = -1

if x = -1

2x + y= 5

2(-1) + y = 5

y = 5 + 2

y = 7

Answer:

$58.85

Step-by-step explanation:

Take 7% out of 55 and add it to the total.

Answer:

1107.4

Step-by-step explanation:

Took Test.

The sum of 14 terms of the arithmetic sequence having the first term, a₁ = 18, and the constant difference, d = 9.4 is given as S₁₄ = 1107.4. Hence, the first option is the right choice.

An arithmetic sequence is a special sequence where every term is the sum of the previous term and a constant.

The sum of an arithmetic sequence having n-terms, with the first term being a, and the constant difference being d is given by the formula:

Sₙ = (n/2){2a + (n - 1)d}, where Sₙ is the sum of n-terms.

In the question, we are asked to find the sum of 14 terms for the arithmetic sequence, where the first term, a₁ = 18, and the constant difference, d = 9.4.

We know that the sum of an arithmetic sequence having n-terms, with the first term being a, and the constant difference being d is given by the formula:

Sₙ = (n/2){2a + (n - 1)d}, where Sₙ is the sum of n-terms.

Thus, substituting n = 14, a = 18, and d = 9.4 in the above formula, we get:

S₁₄ = (14/2){2(18) + (14 - 1)(9.4)},

or, S₁₄ = 7{36 + 122.2},

or, S₁₄ = 7*158.2,

or, S₁₄ = 1107.4.

Thus, the sum of 14 terms of the arithmetic sequence having the first term, a₁ = 18, and the constant difference, d = 9.4 is given as S₁₄ = 1107.4. Hence, the first option is the right choice.

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Our friend's mistake when wanting to make a new mixture of pink paint is that she is only going to add 2 parts of white paint, the correct formula would be 3.

To mix 3 gallons of pink paint we must take into account the following information:

To find out how many parts we need to prepare 3 gallons of pink paint we must multiply the mix values for a gallon by 3.

Red paint:

White paint:

Based on the above, we need to use 3 parts white paint and 9 parts red paint to make 3 gallons of pink paint.

Note: This question is incomplete because the graph is missing. Here is the graph.

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Answer:

If the price of a product decreases from $10 to $8, leading to an increase in quantity demanded from 40 to 60 units.

Step-by-step explanation:

Answer:

  5.925 pints

Step-by-step explanation:

The rest of the paint is 1 -1/4 = 3/4 of the total amount:

  (3/4)(7.9 pt) = 5.925 pt

Sharon used 5.925 pints of blue paint to paint her bedroom walls.

Step-by-step explanation:

Hi there!

From the question;

The slope of the line is 5/10 or 0.5.

Also the equation of the line passes through the point (0,5).

Note: Use one point formula. {i.e (y-y1)=m(x-x1)}

So, use the formula here and keep the values;

(y-5) = 5/10(x-0)

or, 10(y-5) = 5x

or, 10y-50 = 5x

or, 5x - 10y +50 = 0

Therefore, the required equation is 5x - 10y +50 = 0 or x-2y+10 = 0.

Hope it helps!

The real life problem that corresponds to the equation will be "The area of a farmer's square garden is 144 square feet. What is the length of the garden?"

A real-life word problem that corresponds to the equation x² = 144 will be that the area of a farmer's square garden is 144 square feet. What is the length of the garden?

In this case, the length of the garden will be the square root of 144. This will be calculated thus:

x² = 144

x = ✓144

x = 12

Therefore, the length of the garden is 12 feet.

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Answer:

3^3

The answer is a.3^3

The scale factor k for the sphere's volume in order to arrive at the volume of the new sphere is 3^3, the correct option is A

Suppose the initial measurement of a figure was x units.

And let the figure is scaled and new measurement is of y units.

Since the scaling is done by multiplication of some constant, that constant is called scale factor. Let that constant be 's'.

Then we have:

[tex]s \times x = y\\s = \dfrac{y}{x}[/tex]

Thus, scale factor is the ratio of the new measurement to the old measurement.

Given;

Radius is multiplied by 3

In order to arrive at the volume of new sphere the factor must be greater or equal to 3

So,

Scale factor=x*k

=3^3

Therefore, the scale factor k will be 3^3

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Transposition

Transposition is a method to isolate the variable to one side of the equation and everything else to the other side so that you can solve the equation.

Algebraic equations can be solved using the Law of equations. The Law of equations states that whatever you do on one side of an equation, you must do on the other side as well.

Answer:

I think the answer is 5

Hopefully it works :)

Step-by-step explanation:

Answer:

9:45

Step-by-step explanation:

Tell me if you need an explanation

Divide total price by total quantity:

15.60 / 19.5 = 0.80

Unit price = $0.80 per centimeter

Answer:

1. gcf: 6 lcm: 660

2. gcf: 2 lcm: 308

3. gcf: 7 lcm: 56

4. gcf: 2 lcm: 220

5. gcf: 1 lcm: 52

Step-by-step explanation:

Hope this helps :)

Hey there mate :)

( I have written 4 of them. You can select any two you want)

The two posscriticallysible negative implications that free higher education may have for prospective students include the following:

☆ No restriction to accesses

☆ The risk of Overcrowdiness

☆ Less quality

☆ Higher Competition

(POSITIVE)

Free education guarantees unrestricted access without academic limits will lower the level of universities, limiting the academic development of more qualified students currently.

( NEGATIVE)

It refers to the situation in which people are many in a particular space which poses higher health risks.

( NEGATIVE)

There will be reduced quality because the teacher and students won't be able to pay adequate attention to each other.

(POSSITIVE)

There will be a greater student competition, where by virtue of the right to equal and unrestricted access to education, these prospective students would see their possibilities for academic development easily, by competing with unlimited number of peers both in access to vacancies and in the internal possibilities of University and Colleges.

~ Benjemin360

Answer:

slope = 2  which passes the line ( 3, 1 ) , ( 8, 11 )

Explanation:

coordinates given: ( 3, 1 ) , ( 8, 11 )

to find slope of the line: [tex]\frac{y2-y1}{x2-x1}[/tex]

                                      : [tex]\frac{11-1}{8-3}[/tex]

                                      : [tex]\frac{10}{5}[/tex]

                                      : [tex]2[/tex]

Answer:

23, 21, 19, 17

Step-by-step explanation:

f(3)=29-2(3)=29-6=23

f(4)=29-2(4)=29-8=21

f(5)=29-2(5)=29-10=19

f(6)=29-2(6)=29-12=17

Answer:31/20

Step-by-step explanation:Sorry your answer is late

Answer:

D. 1

Step-by-step explanation:

Given points are: (5,8) and (6,9)

[tex]\implies x_1=5,\: x_2=6,\: y_1=8,\: y_2=9[/tex]

Formula for slope of a line is give as:

[tex]Slope \: of\: line =\frac{y_2-y_1}{x_2-x_1}[/tex]

Plugging in the values of [tex] x_1,\: x_2\: and\:y_1,\: y_2[/tex] in the above formula, we find:

[tex]Slope \: of\: line =\frac{9-8}{6-5}[/tex]

[tex]Slope \: of\: line =\frac{1}{1}[/tex]

[tex]Slope \: of\: line =1[/tex]