There are 48 students in a school play. The ratio of boys to girls is 5:7. How many boys are in the school play? Explain how you found your answer

Answers

Answer 1
Answer: Did you say that the ratio of boys to girls is 5 to 7 ?

Well, then we know that 5 'groups' in the cast are boys, and 7 'groups' are girls.
So all together, there are 12 'groups' of students in the play, although we don't know
how many a 'group' is.

But wait a second.  You said there are 48 all together.  So each 'group' must be
48/12 = 4 students.

5 'groups' of boys = 20 boys
7 'groups' of girls = 28 girls

Check:

-- The ratio of 20 to 28 is 5 to 7 .  OK

-- 20 + 28 = 48 all together. OK

It all checks out.
yay
Answer 2
Answer: boys:  x
gilrs:   y

From the text of the task:

\left \{ {{(x)/(y)=(5)/(7)} \atop {x+y=48 \rightarrow x=48-y}} \right.

Replacing x:

(48-y)/(y)=(5)/(7)\n \n 7(48-y)=5y\n \n 336-7y=5y\n \n 12y=336\n \n y=(336)/(12)=28

So there are 28 girs and 20 boys

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Susan and Kelvin each receive $100$
100
as a gift.

Part A

Susan buys a movie ticket for $12.50
$
12.50
and 3
3
buckets of popcorn that cost $14.20
$
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each with her $100
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100
. Which statement is true?

Answers

Answer:

c

Step-by-step explanation:

Mrs. Eaton's class is participating in the "Box Tops for Education" campaign. On the first day, herclass collected 2 tops. On the third day, her class collected 8 tops. Let D represent each collection
day and N represent the number of tops collected on that day.
Based on the situation, John claims the number of tops collected can be modeled by an exponential
function. Riley disagrees and claims the number of tops can be modeled with a linear function. What
is the number of tops collected on the sixth day based on the exponential model? What is the
number of tops collected on the sixth day based on the linear model?

Answers

Given:

Day        Tops
1               2
2               ?
3               8

Exponential model:
d(x) = 2^x
d(6) = 2⁶ = 2 x 2 x 2 x 2 x 2 x 2 = 64 tops

LInear:
d(x) = 2 + 2x
d(6) = 2 + 2(6)
d(6) = 2 + 12
d(6) = 14 tops

Answer:

Exponential: 64

Linear: 17

Explanation:

I know this is right because I got it wrong and it showed me the answer.

You are baking cupcakes for your class. There are 30 total students in your class and you have baked 15 cupcakes. Write andsolve an equation to find the additional number of cupcakes you need to bake in order to have 3 cupcakes for each student.
Write your equation so that the units on each side of the equation are cupcakes per student.
Equation:
= 3
Number of cupcakes: x=

Answers

The equation is 3=(x+15)/30 and the number of additonal cupcakes to be made is 75.

What is equation?

An equation is a relationship between the variables and constants representing how they are related to each other. It includes equal to "=" sign.

It is known that each student will have 3 cupcakes. So, right side of the equation will be 3.

After 15 cupcakes, x more cupcakes are needed. So, the total number of cupcakes is x+15.

Since there are 30 students, the number of cupcakes per student will be (x+15)/30

Determine the equation and solve it.

(x+15)/30=3

x+15=90

x=75

So, 75 more cupcakes are needed to be baked.

To learn more about equations click:

brainly.com/question/649785

#SPJ2

Answer:

Equation: 15x+30=3

Number of Cupcakes: x = 75

Step-by-step explanation:

30 x 3 - 15 = 75

I hope this helps you :)

Which shows the expression below in simplified form? (8.1 × 105) ÷ (9 × 102)

Answers

so i think this wan being 

(8,1 x 10^5)
----------------- = 0,9 x 10^3 = 9 x 10^2
 (9 x 10^2) 

After John worked at a job for 10 years, his salary doubled. If he started at $x, his salary after 10 years is $_____.

Answers

If he started at $x, and we need to double it, we take X and multiply it by 2 creating $2X

9/4 is between what two numbers

Answers

9/4 is between 2 and 3