Pete, Chris, and Dina realized that the number of A’s they each received on their report cards were in a ratio of 4:2:5. If Pete got 14 more A’s than Chris, how many A’s did Dina get?

Answers

Answer 1

Answer:

A's received by Dina is 35.

Step-by-step explanation:

Given

number of A’s  received  by Pete, Chris, and Dina on their report cards were in a ratio of 4:2:5.

Let the

A's received by Pete = 4x

A's received by Chris = 2x

A's received by Dina = 5x

This, is done so that ratio of 4:2:5 remains intact.

Now, given  Pete got 14 more A’s than Chris got

Thus, writing it mathematically

A's got by Pete = A's got be Chris + 14

we will be using A's got Pete and Chris in term of x as defined above

4x = 2x+ 14

=> 4x - 2x = 14

=> 2x = 14

=> x = 14/2 = 7

A's received by Dina = 5x = 5*7 = 35( Answer).


Related Questions

What is the slope-intercept equation of the line below?​

Answers

Answer:

B.

[tex]y = - x + 2[/tex]

Answer:

b. y=-x+2

Step-by-step explanation:

hi!

the slope intercept form is y=mx+b where m is the slope, and b is the y intercept.

since the y intercept is postive 2, we can first eliminate choices A and C since they show a y intercept of negative 2, not positive 2.

next, we can eliminate d since the line of the graph is going downwards, meaning that the slope or m is negative.

Therefore, the correct answer is b.

u can also use a graphing calculator if youre unsure and plug in each equation and see if it matches with the graph.


Six added to 3 times a number is equal to 4 less than 5 times the number. What is the number?
5
-5
10
-10

Answers

Answer:

[tex]5[/tex]

Step-by-step explanation:

Let the number be [tex]x[/tex].

[tex]3x+6=5x-4[/tex]

[tex]3x-5x=-4-6[/tex]

[tex]-2x=-10[/tex]

[tex]2x=10[/tex]

[tex]2x/2=10/2[/tex]

[tex]x=5[/tex]

The number is 5.

Answer:

5

Step-by-step explanation:

Find the number of 4-digit numbers that contain at least three even digits.

Answers

Answer:

2625

Step-by-step explanation:

First let's see all the possible combinations.

(Even=E, Odd= O)

1) EEEO

2) EEOE

3) EOEE

4) OEEE

5) EEEE

Now let's see what E and O possibly could be

E = 0, 2, 4, 5, 6 and 8 (5)

O = 1, 3, 5, 7, 9 (5)

Now we are just simply gonna multiply

1) EEEO = 4*5*5*5

2) EEOE = 4*5*5*5

3) EOEE = 4*5*5*5

4) OEEE = 5*5*5*5

5) EEEE = 4*5*5*5

The even contains a 0, so you can't put 0 in, so (5-1=4), there are only 4 digits for the even.

500 times 4 = 2000

5⁴ = 625

2000+625= 2625

How did Katherine Johnson’s work in math affect us today?

Answers

Answer:

she made electronic calculating machines in order to calibrate rockets and make everything more precise

Step-by-step explanation:

STUV is a parallelogram. Solve for x. ANSWERS: A) 12 B) 16 C) 70 D) 10

Answers

Answer:

D) 10

Step-by-step explanation:

Finding <V:

<V = 180-35 = 145°

Finding x:

In a ║gm, Opposite angle are congruent.

=> 14x+5 = 145

=> 14x = 145-5

=> 14x = 140

Dividing both sides by 14

=> x= 10

Answer:

D

Step-by-step explanation:

10

|7t|=35 solve the equation​

Answers

Answer:

t = 5,-5

Step-by-step explanation:

35/7 = 5

because it is an absolute value, it will always be positive:

-35/7 = -5

Answer:

T = 5,

Step-by-step explanation:

7T = 35

divide 7 by both

T = 5

hope this helps

What is the value of x​

Answers

Answer:

A. 36 degrees

Step-by-step explanation:

180 is for straight lines,

180-79-68

= 36 degrees

Simplify -4r + s -2r -3s

Answers

Answer:

-6r-2s, or, 2(-3r-s)

Step-by-step explanation:

-4r+s-2r-3s

-4r-2r= -6r

-6r+s-3s= -2s

-6r-2s, or , 2(-3r-s)

-6r-2s you basically add the ones with the same letter

whats the difference between a sequence and a series?

Answers

Answer:

A sequence is defined as an arrangement of numbers in a particular order. On the other hand a series is defiend as the sum of the elements of a sequence!

Tatiana made a two-way table to describe what her friends like at the amusement park. Which could be the columns and rows for Tatiana’s table? columns: likes roller coasters, likes water rides; rows: doesn’t like roller coasters, doesn’t like water rides columns: likes water rides, doesn’t like roller coasters; rows: doesn’t like water rides, likes roller coasters columns: likes roller coasters, doesn’t like roller coasters; rows: likes water rides, doesn’t like water rides columns: doesn’t like water rides, likes roller coasters; rows: doesn’t like roller coasters, likes water rides

Answers

Answer:

columns: likes roller coasters, doesn’t like roller coasters;

rows: likes water rides, doesn’t like water rides

Step-by-step explanation:

You want to aks to your friends if they like or not water rides and roller coasters.

In a two-way table, a person goes only in one of the columns and only in one of the rows. Then, the columns would be: like A, doesn't like A; and the rows: like B, doesn't like B. Therefore if 10 people like roller coasters and don’t like water rides:

                                            likes roller coasters       doesn’t like roller coasters

likes water rides          

doesn’t like water rides                  10

Answer:

C

Step-by-step explanation:

BELIVE IT

What is 39,182 written in expanded form

Answers

Answer:

39,182 in expanded form:

Step-by-step explanation:

30,000 + 9,000 + 100 + 80 + 2

Solve the system by substitution. In the space provided, type the answer without any
spaces between the letters, numbers, or symbols.
x - y = -1
3x + 2y = 22

Answers

Answer:

x - y = -1 ....... 1

3x + 2y = 22 ........ 2

Make x the subject in the first equation

x = -1+y

Substitute this into the second equation

3(-1+y) + 2y = 22

-3 + 3y + 2y = 22

5y = 25

Divide both sides by 5

y = 5

Substitute y = 5 into x = -1+y

x = -1+5

x = 4

x = 4 , y = 5

Hope this helps

Which right triangular prism has the greatest volume? A triangular prism. The triangular base has a base of 7 meters and height of 9 meters. The height of the prism is 6 meters. A triangular prism. The triangular base has a base of 6 meters and height of 13 meters. The height of the prism is 5 meters. A triangular prism. The triangular base has a base of 11 meters and height of 8 meters. The height of the prism is 8 meters. A triangular prism. The triangular base has a base of 10 meters and height of 9 meters. The height of the prism is 8 meters.

Answers

Answer: The correct answer is option 4;

A triangular prism. The triangular base has a base of 10 metres and a height of 9 metres. The height of the prism is 8 metres.

Step-by-step explanation: A simple check for the result of each set of dimensions would give the correct answer.

The volume of a right triangular prism is derived as follows;

Volume = 1/2 * b * h * l

Where, b is the base of the triangle, h is the vertical height of the triangle and l is the length of the prism.

Note that the area of the right triangle is denoted by 1/2 * b * h, and multiplying this result by the length of the prism gives the entire depth or volume of the triangular prism. Let us examine the dimensions one after the other;

(1) A triangular prism. The triangular base has a base of 7 metres and height of 9 metres. The height of the prism is 6 metres.

Volume = 1/2 * 7 * 9 * 6

Volume = 189 cubic metres

(2) A triangular prism. The triangular base has a base of 6 metres and height of 13 metres. The height of the prism is 5 metres.

Volume = 1/2 * 6 * 13 * 5

Volume = 165 cubic metres

(3) A triangular prism. The triangular base has a base of 11 metres and a height of 8 metres. The height of the prism is 8 metres.

Volume = 1/2 * 11 * 8 * 8

Volume = 352 cubic metres

(4) A triangular prism. The triangular base has a base of 10 metres and a height of 9 metres. The height of the prism is 8 metres.

Volume = 1/2 * 10 * 9 * 8

Volume = 360 cubic metres

Answer:

2

Step-by-step explanation:

A cylinder has a volume of 1526.04 in3. If the diameter is 18 in, how many inches is the height? Use 3.14 to approximate the value of π. The volume formula for a cylinder is V = πr2h. Answer

Answers

Answer:Height = 6 inches Step-by-step explanation:[tex]V =1526.04\\d = 18 \\h = ? \\\pi = 3\\r = \frac{d}{2} .\\r = 18/2 = 9\\V = \pi*r^{2} *h\\1526.04 = 3.14 * 9^{2} *h\\1526.04=254.34h\\Divide- both -sides -of- the -equation- by, 254.34\\\frac{1526.04}{254.34} = \frac{254.34h}{254.34} \\h = 6 inches[/tex]

Using the graph as your guide, complete the following statement. The discriminant of the function is _____. A. negative B. zero C. positive

Answers

Answer:

A. negative

Step-by-step explanation:

Negative because no x-intercepts, that means no real solutions.

The discriminant of the function is a negative option (A) negative is correct.

What is a quadratic equation?

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

We have a graph of a quadratic equation shown in the picture.

The graph of a quadratic equation is a parabola (It is defined as the graph of a quadratic function that has something bowl-shaped)

As we know the discriminant formula is:

D = b² - 4ac

The above formula is used to find the nature of the roots.

If D = 0 then there will only be one intersection at the x-axis.

If D > 0 then there will be two intersections at the x-axis.

If D < 0 then there will no intersection at the x-axis.

From the graph, there is no x-intersection which means:

D < 0 or

D is negative.

Thus, the discriminant of the function is a negative option (A) negative is correct.

Learn more about quadratic equations here:

brainly.com/question/2263981

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Find dy/dx by implicit differentiation for x – y = xy.

Answers

Answer:

[tex]\frac{dy}{dx}[/tex] = [tex]\frac{1-y}{1+x}[/tex]

Step-by-step explanation:

Differentiate xy using the product rule, then

Given

x - y = xy

1 - [tex]\frac{dy}{dx}[/tex] = x. [tex]\frac{dy}{dx}[/tex] + y. 1 = x[tex]\frac{dy}{dx}[/tex] + y ( subtract 1 from both sides )

- [tex]\frac{dy}{dx}[/tex] = x [tex]\frac{dy}{dx}[/tex] + y - 1 ( subtract x [tex]\frac{dy}{dx}[/tex] from both sides )

- [tex]\frac{dy}{dx}[/tex] - x [tex]\frac{dy}{dx}[/tex] = y - 1 ( multiply through by - 1 )

[tex]\frac{dy}{dx}[/tex] + x[tex]\frac{dy}{dx}[/tex] = 1 - y

[tex]\frac{dy}{dx}[/tex] (1 + x) = 1 - y ← divide both sides by (1 + x)

[tex]\frac{dy}{dx}[/tex] = [tex]\frac{1-y}{1+x}[/tex]

The differentiation of the function x - y = xy is dy/dx = (1-y)/(x+1).

What is differentiation?

Differentiation is a method of finding the derivative of a function.

It shows instantaneous rate of change in a function.

The given expression is,

x - y = xy

Differentiate with respect to x,

d/dx (x-y) = d/dx (xy)

Use multiplication formula for differentiation,

d/dx(ab)= a.db/dx+da/dx.b,

1 - dy/dx =  x.dy/dx + y. 1

1 - dy/dx = x.dy/dx + y

1 - y =x.dy/dx + dy/dx

1 - y = (x+1).dy/dx

dy/dx = (1-y)/(x+1)

The differentiation of the function x - y = xy is dy/dx = (1-y)/(x+1).

To learn more about Differentiation on:

https://brainly.com/question/28767430

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The sum of the measures of two of the angles formed by the intersection of two lines is 50°. Find the measures of the angles. I need four numbers, as in four angles

Answers

Answer:

25°, 25°, 155° and 155°

Step-by-step explanation:

Let's call the four angles a, b, c and d.

These angles are supplementary and vertically opposite in pairs, so we have:

[tex]a = c[/tex]

[tex]b = d[/tex]

[tex]a + b = 180\°[/tex]

[tex]c + d = 180\°[/tex]

If the sum of two of these angles is 50°, these angles need to be the vertically opposite ones (a and c or b and d). So we have that:

[tex]a + c = 50\°[/tex]

Substituting 'c' for 'a', we have:

[tex]2a = 50[/tex]

[tex]a = 25\°[/tex]

Now we can find the value of the three other angles:

[tex]c = a = 25\°[/tex]

[tex]b = 180 - a = 155\°[/tex]

[tex]d = 180 - c = 155\°[/tex]

Solve x/-4 - (-8)=12
16
80
-80
-16

Answers

Answer:

-80

Step-by-step explanation:

Solve for x for the x value.

-80 is the value of x

How many different ways can 5 students stand in a line in the cafeteria?

Answers

Answer:

120 different ways

Step-by-step explanation:

5*4*3*2*1 = 120 different ways!

Write the equation of a line that is parallel to z = 8 and that passes through the point (-3,-2).

Answers

Answer:
y=8x+22

z=8
(-3,-2)

y=mx+b
-2=8(-3)+b
-2=-24+b
22=b

y=8x+22

8. In geology, every era ends when there is a
high numbers of species are becoming extinct.
or a period of time when

Answers

Answer:idk

Step-by-step explanation:

Idk

When the height of a cylinder is doubled and its radius is increased by 200%, the cylinder's volume is multiplied by a factor of X. What is the value of X?

Answers

Answer:

x=2

Step-by-step explanation:

Look for key words, phrases, and numbers.

doubled, 200%

they both mean multiplying by two, or x2

That means the volume of the cylinder is multiplied by factor of 2.

Answer:

18

Step-by-step explanation:

The cylinder's original volume is [tex]$\pi r^2h$[/tex]. The new height is 2h and the new radius is [tex]$r+\frac{200}{100}r=3r$[/tex]. That means the new volume is [tex]$\pi (3r)^2(2h)=\pi r^2h(9)(2)$[/tex]. The new volume is the original volume multiplied by a factor of [tex]$\boxed{18}$[/tex].

Mark me as brainliest plz and hope this halped u!

Please help this is due in 30 minutes!​

Answers

Answer:

[tex]1.\ 12\ feet = 4\ yards[/tex]

[tex]2.\ 4\ miles = 21120\ feet[/tex]

Step-by-step explanation:

Given

12 feet = _____ yard

4 miles = ____ feet

To start with;

we need to understand the unit of conversion between the two measurements;

1. 12 feet = _____ yard

To convert from feet to yard;

[tex]1\ foot = \frac{1}{3} yard[/tex]

This implies that;

[tex]12\ feet = 12 * \frac{1}{3} yard[/tex]

[tex]12\ feet = \frac{12}{3} yard[/tex]

[tex]12\ feet = 4\ yards[/tex]

2. 4 miles = ____ feet

To convert from miles to feet;

[tex]1\ mile = 5280\ feet[/tex]

This implies that;

[tex]4\ miles = 4 * 5280 feet[/tex]

[tex]4\ miles = 21120\ feet[/tex]

Find the value of x.

Answers

Answer:

64 degrees

Step-by-step explanation:

Lets find the third angle of the isosceles triangle that has an measure of 29 for one of the angles

Lets use the angle sum theorem and isosceles triangle definition

180=n+29+29

180=n+58

n+58=180

n=180-58

n=122

This angle is supplementary to one of the two congruent angles of the triangle that contains angle x

180=y+122

y+122=180

y=180-122

y=58

The triangle that has angle x is isosceles, thus we can use the following equation to find x

180=58+58+x

180=116+x

116+x=180

x+116=180

x=180-116

x=64 degrees

Write a word problem the equation -8f - 7 = -47

Answers

Answer:

The weather at 5 pm is -7 degrees Celsius. Every hour, the temperature drops 8 degrees. How much time has gone by when the temperature is -47 degrees?

Step-by-step explanation:

The equation can be rearranged to get:

-7-8f=-47

Example: The weather at 5 pm is -7 degrees Celsius. Every hour, the temperature drops 8 degrees. How much time has gone by when the temperature is -47 degrees?

Answer:

Step-by-step explanation: negative eight f minus seven equals negative fourty-seven .  answer: 5

Find the slope of the line that passes through (93, -6) and (11, 24).

Answers

Answer:

-15/41

Step-by-step explanation:

Answer:

-15/41

Step-by-step explanation:

We can use the slope formula since we have 2 points

m = (y2-y1)/(x2-x1)

    = (24 - -6)/(11 - 93)

   = (24+6)/ (-82)

   = 30/ -82

   -15/41

Which conversion requires multiplication? A decimeter - meter B meter - kilometer C kilometer - meter D millimeter - centimeter

Answers

Answer: Kilometers to meter

Step-by-step explanation: 1 km is equal to 1000km. Eg:Similarly 2 Kilometers is 2×1000 which gives 2000m.

Hope its clear. Also you multiply only when you are converting a higher form to a lower form. Here km to m

PLEASE MARK ME AS BRAINLIEST!!!

Answer:

it is c

Step-by-step explanation:

Tonya is 5 feet tall. Which equation below can be used to determine h, Tonya’s height in centimeters if 1 inch is equivalent to 2.54 centimeters?

Answers

Answer:

2.54 x 60 = h

h = 152.4

Step-by-step explanation:

5 feet is equal to 152.4 centimeters. Below is an explanation I found on the web explaining this:

To calculate 5 Feet to the corresponding value in Centimeters, multiply the quantity in Feet by 30.48 (the conversion factor). In this case, we should multiply 5 Feet by 30.48 to get the equivalent result in Centimeters:

5 Feet x 30.48 = 152.4 Centimeters

Thus, 5 feet is equivalent to 152.4 centimeters.

Now, assuming this part has been understood, we can move on. I see variables are being used to represent factors here. As stated, h represents Tonya's height in centimeters.

So, knowing the equivalent amount of centimeters in 5 feet we can answer this easily. 1 inch equals 2.54 centimeters according to this problem.

152.4 ÷ 2.54 = 60.

2.54 can go into 152.4 60 times.

2.54 x 60 = h

h = 152.4 aka Tonya's height in centimeters.

Hope this helps!

Two positive integers have a product of 72. One
integer is twice the other. What are the
integers?
Separate the answers with a comma.

Answers

Answer:

12 and 6

Step-by-step explanation:

12 times 6 is 72

the 12 is twice 12 which means that 6 and 12 is the answer

hope this helps

Answer:

6 and 12

Step-by-step explanation:

let one of the positive integers be replaced with X.

since the other intiger is twice the first one

The two integers will be x and 2x therefore since the product is equal to 72

X* 2X= 72

2X² = 72

X² = 36

X. = 6

2X = 12

Compute the permutations and combinations. A company has 10 men qualified to run a machine that requires 3 operators at a time. Find how many groups of 3 operators are possible. 240 720 120

Answers

Answer:

120

Step-by-step explanation:

To solve this question we would be using combination formula.

The formula for combination is given as:

C(n, r) = nCr

nCr = n!/r! ×(n - r)!

In the above question,

n = 10 men

r = 3 operators

Hence,

nCr = n!/r! × (n - r)!

10C3 = 10! /3! × (10 - 3)!

10C3 = 10!/3! × 7!

10C3 = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 /(3 × 2× 1 ) ×(7 × 6 × 5 × 4 × 3 × 2 × 1)

10C3 = 10 × 9 × 8 / 3 × 2× 1

10C3 = 720/6

10C3 = 120

Therefore, the number of groups of 3 operators that are possible is 120.

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BowWow began 2010 with $ 864,593 in inventory (inventory is carried at a cost of $ 11.73 per unit). Using this information, compute BowWow's 2010 ending inventory balance (in dollars). What are closing costs? .various fees paid monthly along with rentOBvarious fees paid every year as part of taxesOcvarious fees paid when a home purchase is finalizedResetNext Sarah kept track of the total number of books sheread. Sarah's graph shows that after 1 week she read atotal of 2 books. After 2 weeks she had read a total of 4books.After which week had Sarah read a total of 9 books?A:8B:10C:5D:6