Match each radical number with an equivalent number using rational exponents.

45 boys, 27 girls

============================================================

Explanation:

g = number of girls

g+18 = number of boys, since there are 18 more boys than girls

For example, if g = 7, then g+18 = 7+18 = 25. In this example, we have 7 girls and 25 boys. The problem with this example is the ratio of boys to girls is 25:7 which is not equal to 5:3

We could use trial and error until we land on the solution, or we can use algebra as shown in the next section.

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

The ratio of boys to girls is 5:3, meaning

(number of boys)/(number of girls) = 5/3

which turns into

(g+18)/g = 5/3

after we make the proper substitutions

Let's solve for g

(g+18)/g = 5/3

3(g+18) = 5g

3g+54 = 5g

54 = 5g-3g

54 = 2g

2g = 54

g = 54/2

g = 27

There are 27 girls.

This leads to,

g+18 = 27+18 = 45

So there are 45 boys

In total, we have 27+45 = 72 people

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

Checking the answer:

The claim is that 45/27 is the same as 5/3

For now assume that claim is true. Set the fractions equal to each other and use cross multiplication like so

45/27 = 5/3

45*3 = 27*5

135 = 135

The third equation has the same thing on both sides, so it's a true equation. This must mean the first equation is true as well. Therefore, 45:27 and 5:3 are the same ratio and the answer is confirmed.

You could also use your calculator to note that

45/27 = 1.667

5/3 = 1.667

both decimal values are approximate.

The people there are in total of 72 students

Let the ratio of boys to girls be 5x: 3x

The ratio of boys to girls in a group is 5:3.

no. of boys = 18 + no. of girls

=> 5x = 18 + 3x

=> 5x - 3x = 18

=> 2x = 18

=> x = 18/2

x= 9

No. of boys = 5x

No. of boys= 5 × 9

No. of boys= 45

No. of girls = 3x

No. of girls= 3 × 9

No. of girls= 27

Total = 45 + 27

Total= 72

Hence, there are 72 students there.

To learn more about the ratio visit:

https://brainly.com/question/2328454

#SPJ2

Step-by-step explanation:

i was busy so i did this much ...will solve later

Answer:

283

Step-by-step explanation:

458-175=283

and you have your answer.

Answer:

hola

com

stas

Step-by-step explanation:

Here goes the answer. Please mark brainliest.

Step-by-step explanation:

it is 0.7777777778 . make sure you round it though 0.7^. or 0.78

Answer:

7/9

Step-by-step explanation:

1) Put 1 over 7, like this: 7/1

   REMEMBER EVERYTIME THERE IS A WHOLE NUMBER! PUT A 1 OVER IT!

2) You would get your equation as this: 7/1 * 1/9

3) Multiply HORIZONATLY!

 7 * 1 / 1 * 9  =  7/9

4) Your answer is 7/9!

the answer is....

eat my ahhh oStep-by-step explanation:

Answer:

13:8

is the answer because if you take the games won and lost this is what you get

Step-by-step explanation:

Answer: x=6

Step-by-step explanation:

Hope this helps

Answer:

b) [tex]f^-1(x)[/tex]= ∛(4x-24)

c)2

Step-by-step explanation:

these ones are inverse functions

change the f(x) for y and make x the subject

y= x³/4 +6

(y-6)x 4 = x³

∛(4y-24)= x

then put x back were y is

[tex]f^-1(x)[/tex]= ∛(4x-24)

and to do c just put in 8 where x is

∛(4(8)-24)= 2

Answer:

x+3 > 21

the is a line under the greater than symbol

Step-by-step explanation:

Answer:

Step-by-step:

51⁷-51⁶ = 51⁶(51-1) = 51⁶(50)

50 is divisible by 25, so 51⁷-51⁶ is divisible by 25.

Answer:

The formula for the volume of a cube is V=s3 where V is the volume and s is the length of a side solve the formula for s. 2.

Step-by-step explanation:

I think.

Answer:

the question is incorrect as GN does not exist. please rewrite the question.

Answer:

-1

Step-by-step explanation:

negative 1

Answer:

[tex] X =

\begin{bmatrix} - 4 & 1 \\ - 2 & - 7\end{bmatrix}[/tex]

Step-by-step explanation:

[tex] \begin{bmatrix} - 1 & - 2\\ 4 & 8\end{bmatrix} +X = \begin{bmatrix} - 5 & - 1\\ 2 & 1\end{bmatrix}[/tex]

[tex] X =

\begin{bmatrix} - 5 & - 1\\ 2 & 1\end{bmatrix}-\begin{bmatrix} - 1 & - 2\\ 4 & 8\end{bmatrix}[/tex]

[tex] X =

\begin{bmatrix} - 5-(-1) & - 1-(-2)\\ 2-4 & 1-8\end{bmatrix}[/tex]

[tex] X =

\begin{bmatrix} - 5+1 & - 1+2\\ 2-4 & 1-8\end{bmatrix}[/tex]

[tex] X =

\begin{bmatrix} - 4 & 1 \\ - 2 & - 7\end{bmatrix}[/tex]

Do you mean exponential form as in scientific notation or as in prime factorization.

Now matter I will do both.

As in scientific notation.

200*75

=150*100

=1.5*10000

=1.5*10^4

As in prime factorization.

200*75

=2^3*5^2*3*5^2

=2^3 * 3 * 5^4

Do the one your teacher ask for :) Hope it helps!

Answer

Monomial, Binomial, and Trinomial

Explanation

Polynomials are algebraic expressions that may comprise of exponents which are added, subtracted or multiplied. Polynomials are of different types. Namely, Monomial, Binomial, and Trinomial. A monomial is a polynomial with one term. A binomial is a polynomial with two, unlike terms. A trinomial is an algebraic expression with three, unlike terms. In the following section, we will study about polynomials and types of polynomials in detail.

Answer:

4/6

Step-by-step explanation:

Answer:

120 cups of sugar

8 ounces of paint

Step-by-step explanation:

Given that :

To cover all sides of the rectangular prism with paint, that is the surface area.

The amount of sugar held by the prism is function of its volume.

Hence, doubling the dimension :

The surface area, in unit² is a obtained by

Initial paint required * 2^2

2 * 2² = 2 * 4 = 8 ounces of paint.

For sugar :

It has to do with volume, unit³

Initial * double³

15 * 2³

15 * (8) = 120 cups of sugar

Answer:

I had it before and it is 15 ft²

Answer:

i believe it would be 0.79b + 3.59c [tex]\leq[/tex] 100

Step-by-step explanation:

the price of the number of cans of beans added to the number of boxes of cereal must be less than or equal to $100

0.79b represents the price of the beans multiplied by the amount of cans the contestant buys, and 3.59c represents the price of the cereal multiplied by the amount of boxes the contestant buys

Answer:

its B!!!

Step-by-step explanation:

Answer:

the awnse is 2 i hope i helped

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

3 x 4 / 6

3 x 4 = 12

12 / 6 = 2

PEMDAS

M - multiplication

D - division

Multiplication comes before division.

Answer:

a.8

i hope this is correct??!!

Answer:

9. 6 cups

10. 66 in

11. 66 ft

12. 1320 ft

Hope that helps!

Step-by-step explanation:

9. 3 pt = 6 c

10. 5 1/2 ft = 66 in

11. 22 yd = 66 ft

12. 1/4 mi = 1320 ft

Hope this helped! :)

Answer:

B

Step-by-step explanation:

Quadrant 1 is (+,+), quadrant 2 is (-,+), quadrant 3 (-,-), and quadrant 4 is (+,-).

[tex]6 \times (w + 5) = 7[/tex]

Answer:

6 x w (+2)<4+3i>

Step-by-step explanation: