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3 years ago

There were 326 students at the high school dance. There were 24 more girls than boys. How many girls and boys attended?

Mathematics

2 answers:

yuradex [85]3 years ago

7 0

Answer: 151 boys and 175 girls

Step-by-step explanation: You subtract 24 from 326 to balance out the amount of boys and girls. Then you divide 302 (326 - 24) by 2 and you'll get 151. At this point there are 151 boys and 151 girls, so you need to add the remaining 24 girls; so you add 24 to 151 giving you 175 girls.

abruzzese [7]3 years ago

4 0

Answer:

187 girls 139 boys

Step-by-step explanation:

first you divide 326 by 2 to get 163, and then you add 24 to it to find how many girls and then you subtract 24 from it to find how many boys

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Jenny’s mother is 5 years older than twice Jenny's age. The sum of their ages is 62 years. This is represented by the equation x

Salsk061 [2.6K]

Answer:

Jenny´s age is 19 and her mother is 43.

Step-by-step explanation:

1. Plug in the first value of the set

41 is different from 62, so Jenny isn´t 12 years old.

2. Plug in the second value of the set

50 is different from 62, so Jenny isn´t 15 years old.

3. Plug in the third value of the set

59 is different from 62, so Jenny isn´t 18 years old.

4. Plug in the fourth value of the set

Therefore Jenny´s 19 years old.

5. Calculate Jenny´s mother age:

As the sum of their ages is 62 ages, we have the following equation

where

x=Jenny´s age

y=Jenny´s mother age

Therefore Jenny's mother age is 43 years old.

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3 years ago

Find the product. (-4·3·2)2 -48 48 -576 576

VLD [36.1K]

(-4*3*2)^2 = (-24)^2 = 576

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3 years ago

Read 2 more answers

What is the approximate diameter of a tire that will make 775 complete rotations in one mile? (Note: there are 5280 feet

GalinKa [24]

Answer:

About 2.17 feet.

Step-by-step explanation:

Let d represent the diameter of the tire.

Then the circumference of the tire will be:

$C=d\pi$

So, the tire will travel dπ miles after one rotation.

After 775 rotations, the total miles traveled should be 5280 feet. Thus:

$775(d\pi)=5280$

Solve for d:

$\displaystyle d=\frac{5280}{775\pi}$

Approximate:

$d=2.1686...\approx2.17$

The circumference of the tire should be about 2.17 feet.

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3 years ago

In Exercises 45–48, let f(x) = (x - 2)2 + 1. Match the function with its graph

MA_775_DIABLO [31]

Answer:

45) The function corresponds to graph A

46) The function corresponds to graph C

47) The function corresponds to graph B

48) The function corresponds to graph D

Step-by-step explanation:

We know that the function f(x) is:

$f(x)=(x-2)^{2}+1$

45)

The function g(x) is given by:

$g(x)=f(x-1)$

using f(x) we can find f(x-1)

$g(x)=((x-1)-2)^{2}+1=(x-3)^{2}+1$

If we take the derivative and equal to zero we will find the minimum value of the parabolla (x,y) and then find the correct graph.

$g(x)'=2(x-3)$

$2(x-3)=0$

$x=3$

Puting it on g(x) we will get y value.

$y=g(3)=(3-3)^{2}+1$

$y=g(3)=1$

Then, the minimum point of this function is (3,1) and it corresponds to (A)

46)

Let's use the same method here.

$g(x)=f(x+2)$

$g(x)=((x+2)-2)^{2}+1$

$g(x)=(x)^{2}+1$

Let's find the first derivative and equal to zero to find x and y minimum value.

$g'(x)=2x$

$0=2x$

$x=0$

Evaluatinf g(x) at this value of x we have:

$g(0)=(x)^{2}+1$

$g(0)=1$

Then, the minimum point of this function is (0,1) and it corresponds to (C)

47)

Let's use the same method here.

$g(x)=f(x)+2$

$g(x)=(x-2)^{2}+1+2$

$g(x)=(x-2)^{2}+3$

Let's find the first derivative and equal to zero to find x and y minimum value.

$g'(x)=2(x-2)$

$0=2(x-2)$

$x=2$

Evaluatinf g(x) at this value of x we have:

$g(2)=(2-2)^{2}+3$

$g(2)=3$

Then, the minimum point of this function is (2,3) and it corresponds to (B)

48)

Let's use the same method here.

$g(x)=f(x)-3$

$g(x)=(x-2)^{2}+1-3$

$g(x)=(x-2)^{2}-2$

Let's find the first derivative and equal to zero to find x and y minimum value.

$g'(x)=2(x-2)$

$0=2(x-2)$

$x=2$

Evaluatinf g(x) at this value of x we have:

$g(2)=(2-2)^{2}-2$

$g(2)=-2$

Then, the minimum point of this function is (2,-2) and it corresponds to (D)

I hope it helps you!

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3 years ago

What are the coordinates of the vertices of ABC? Use the coordinates to find the lengths of ab and . bc

Digiron [165]

The triangle shown is a Pythagorean triple with lengths of 3-4-5.
AC = 3
AB = 4
BC = 5

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4 years ago

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There were 326 students at the high school dance. There were 24 more girls than boys. How many girls and boys attended?​

There were 326 students at the high school dance. There were 24 more girls than boys. How many girls and boys attended?