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3 years ago

Find the height of the prism if the length is 9 inches, the width is 5 inches, and the volume of the prism is 315 cubic inches.

Mathematics

1 answer:

trasher [3.6K]3 years ago

5 0

Answer:

Height of prism = 7 inches

Step-by-step explanation:

Let h be the height of prism.

Hence,

$h = \frac{vol \: of \: prism}{l \times w} \\ \\ = \frac{315}{9 \times 5} \\ \\ = \frac{315}{45} \\ \\ h= 7 \: inches$

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The ratio of susan's money to isabella's money is 2:11. if susan $12, how much money does isbella have?

valentina_108 [34]

If Susan had 2$ and got to 12$ we need to find what multiplied by 2 = 12. So, 12/2=6
If 6x2=12 then 11x6=66
66$

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3 years ago

What is the first operation used to evaluate 13-2x3+4 divided by 4+4

lisabon 2012 [21]

Answer:

multiplication

Step-by-step explanation:

The evaluation of ...

13 -2·3 +4/4 +4

starts with the multiplication, because there are no exponents or parentheses.

13 -6 +4/4 +4

Next is the division:

13 -6 +1 +4

Finally, the addition and subtraction:

7 +1 +4

8 +4

_____

We have assumed your x is not a variable, but is intended to indicate multiplication. We have also assumed that your "divided by" implies no particular grouping, so that the numerator is the first preceding number and only the first following number is in the denominator.

6 0

3 years ago

Select the correct answer.

labwork [276]

Answer:

Your answer would be C. x2 + y2 − 4x − 4y + 23 = 0

Step-by-step explanation:

I did this question before. Hope it helps! :D

3 0

3 years ago

Use the binomial Theorem to expand??

natita [175]

(f+3)^5

(5/0)*(5/1)*(4/2)*(3/3)*(2/4)*(1/5) so the coefficients are:

1,5,10,10,5,1

1*f^5+5f^4*3+10f^3*9+10f^2*27+5f*81+243

f^5+15f^4+90f^3+270f^2+405f+243

7 0

4 years ago

For every 2 teachers there are 30 girl students. For every 3 teachers there are 60 boy students. If there are 432 people in the

lozanna [386]

Discussion

Girls

For every two Teacher there are 30 girls.

That means that every teacher has 30/2 = 15 girls.

Boys

For every three teachers there are 60 boys

So every teacher must teach 60/3 = 20 boys.

Both

The teacher load for every teacher is 20 + 15 = 35 students.

Proportion

1/35 = T/(432 - T) Remember you have to take out the number of Teachers from the total number of people in the building. Cross multiply.

432 - T = 35T Add T to Both sides.

432 = 35T + T

432 = 36T Divide by 36

T = 432 / 36

T = 12 So there are 12 Teachers in the Building

Girls in the Building

Every teacher teaches 15 girls

1 teacher /12 teachers = 15 girls/x Cross multiply

x = 12 * 15

x = 180 girls are in that school.

Boys in the Building

1 teacher teaches 20 boys

12 teachers teach x

1/12 = 20 / x Cross multiply

12*20 = x

240 = x

There are 240 boys in the building.

Summary For the School

Teachers = 12

Boys = 240

Girls = 180

Nice problem. Thanks for posting.

6 0

3 years ago