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2 years ago

7

the ratio of girls to boys in theater class is 2 to 3. there are 28 girls in theater class.what is the total number of students

in the theater?

2 answers:

EleoNora [17]2 years ago

8 0

Answer:

I believe there are 70 students in the theater!

Step-by-step explanation:

In the ratio 2:3 going to 28:? there is a pattern. You multiply 2 by 14 to get to 28, so if you multiply 3 by 14 you get 42. Add 42 to 28 for the total amount of students in class!

Have a nice night!

adell [148]2 years ago

5 0

Answer:

Step-by-step explanation:

Ratios come in 3 forms: 2 to 3, 2:3, and 2/3, which means there are 2 girls for every 3 boys. I like to put it into a fraction form like this:

2 28

--------- = ---------

3 ?

The numerator is girls and the denominator is boys. How did 2 go to 28? x 14. What is 3 x 14? 42. So, this is the new fraction:

2 28

--------- = ---------

3 42

BUT, it asks for total number of students. What is 28 + 42? 70. So, there are 70 total students.

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The Jolly Maids clean three apartments in a weekend. The apartments have five, six, and four rooms, respectively. If they earn $

kondor19780726 [428]

Answer:

$20 per room

Step-by-step explanation:

5 + 6 + 4= 15

$300 % 15 = 20

$20 per room

7 0

3 years ago

-17+ 1/4 x + 1/4 x + 31 = 24

wlad13 [49]

<h2><u>Answer:</u></h2><h2><u></u> $\boxed{x=20}$ <u></u></h2><h2><u></u></h2><h2><u>Solution Steps:</u></h2>

______________________________

<h3>1.) Combine like terms:</h3>

$\frac{1}{4}x+\frac{1}{4}x=\frac{1}{2}x$

<em> - We do this because we need 1 Number/Variable left over. </em>

<u>Equation at the end of Step 1:</u>

<u /> $-17+\frac{1}{2}x+31=24$ <u />

<em />

<h3>2.) Add −17 and 31:</h3>

$-17+31=14$

<em> - We do this because we can only have 1 number on each side of the equals. (This doesn't count towards the number connected to the variable.)</em>

<u>Equation at the end of Step 2:</u>

<u /> $14+\frac{1}{2}x=24$ <u />

<h3>3.) Subtract 14 from both sides:</h3>

$14-14=$ Cancels Out

$24-14=10$

<em> - We do this because now we just need the 1 variable and the 1 number on opposite sides of the equal.</em>

<u>Equation at the end of Step 3:</u>

<u /> $\frac{1}{2}x=10$ <u />

<h3>4.) Multiply both sides by 2:</h3>

<em /> $\frac{1}{2}x$ <em> </em>× $2=x$ <em />

<em /> $10$ <em> </em>× $2=20$

<em> - We multiply by 2 since we have a fraction. In this case the reciprocal is 2 meaning we multiply by 2. </em>

<em></em>

______________________________

4 0

3 years ago

Find the distance between points C(-1, -1) and D(6, 2) to the nearest tenth.

givi [52]

Answer:

≈ 7.6

Step-by-step explanation:

Calculate the distance using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 1, - 1) and (x₂, y₂ ) = (6, 2)

d = $\sqrt{(6+1)^2+(2+1)^2}$

= $\sqrt{7^2+3^2}$

= $\sqrt{49+9}$

= $\sqrt{58}$ ≈ 7.6 ( to the nearest tenth )

8 0

3 years ago

A pizza is cut into twelve pieces. Describe the steps you would take to find the area of one slice of the pizza.

DanielleElmas [232]

Hey there!

First, you would need to find the area of the circle/pizza . . .

Formula of finding area → pi*r² (Pi * the radius of the circle/pizza²)
---
Once you have found the area, you would need to divide the result by the number 12 since there is a total of 12 slices in the pizza.
---
This is how you would find the area of one slice of pizza.
__________________
I hope this helps you.
Have a great day! :)

5 0

3 years ago

Find all complex solutions of X^2-5X -5= 0

denis-greek [22]

ANSWER

$x = \frac{ 5 - 3\sqrt{ 5} }{2} \: or \: x = \frac{ 5 +3 \sqrt{ 5} }{2}$

EXPLANATION

The given equation is

${x}^{2} - 5x - 5 = 0$

The solution is given by the formula

$x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a}$

where a=1, b=-5, c=-5

We substitute into the formula to get;

$x = \frac{ - - 5 \pm \sqrt{ {( - 5)}^{2} - 4(1)( - 5)} }{2(1)}$

We simplify to get,

$x = \frac{ 5 \pm \sqrt{ 45} }{2}$

The solutions are:

$x = \frac{ 5 - 3\sqrt{ 5} }{2} \: or \: x = \frac{ 5 +3 \sqrt{ 5} }{2}$

The equation has no complex roots.

4 0

3 years ago

Read 2 more answers