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3 years ago

Solve for the indicated variable x/9 - g = a for x

Mathematics

1 answer:

krek1111 [17]3 years ago

6 0

Answer:

x = 9(a+g)

Step-by-step explanation:

x/9 - g = a

Add g to each side

x/9 - g+g = a+g

x/9 = a+g

Multiply each side by 9

x/9 * 9 = 9(a+g)

x = 9(a+g)

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Ne4ueva [31]

Answer:

Draw 2 squares as in the picture below

Step-by-step explanation:

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3 years ago

4x-7>17<br>solve inequality

Vlad [161]

We have to isolate x.
to do that we first have to add 7 to both sides
4x-7+7>17+7
now we have 4x>24
then we have to divide by 4 on both sides
4x/4>24/4
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3 years ago

A table is on sale for 27% off. The sale prince is $365. What is the regular price?

Vanyuwa [196]

100%-27%= 73%(percentage of sale price)
73%= $365
1%= 365/73
= $5
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Regular Price: 100 x 5
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3 0

3 years ago

Read 2 more answers

A sports company wants to package a ball with a 1.5-inch radius in sets of two. They have two options: a cylinder or a square pr

guajiro [1.7K]

Step 1

Find the Volume of the two balls

we know that

the Volume of a sphere is equal to

$V=\frac{4}{3} \pi r^{3}$

In this problem we have

$r=1.5\ in$

Substitute

$V=\frac{4}{3} \pi 1.5^{3}=4.5\pi\ in^{3}$

the volume of the two balls is equal

$V=2*4.5\pi=9 \pi\ in^{3}$

Step 2

Find the volume of a cylinder

we know that

The Volume of a cylinder is equal to

$V=\pi r^{2}h$

In this problem we have

$r=1.5\ in$

$h=4*r=4*1.5=6\ in$

Substitute

$V=\pi (1.5^{2})(6)=13.5 \pi\ in^{3}$

Step 3

Find the amount of wasted space in the cylinder

Subtract the volume of the two balls from the volume of the cylinder

$13.5\pi\ in^{3}-9\pi\ in^{3}=4.5\pi\ in^{3}=14.14\ in^{3}$

Step 4

Find the volume of the square prism

The volume of the prism is equal to

$V=Bh$

where

B is the area of the base of the prism

h is the height of the prism

In this problem we have

$B=(2*1.5)^{2}=9\ in^{2}$ -----> the base is equal to the diameter

$h=4*r=4*1.5=6\ in$

Substitute

$V=9*6=54\ in^{3}$

Step 5

Find the amount of wasted space in the prism

Subtract the volume of the two balls from the volume of the prism

$54\ in^{3}-9\pi\ in^{3}=25.73\ in^{3}$

Step 6

Compare the amount of wasted space

the amount of wasted space in the cylinder is $14.14\ in^{3}$

the amount of wasted space in the prism is $25.73\ in^{3}$

Find the difference

$25.73\ in^{3}-14.14\ in^{3}=11.59\ in^{3}=11.6\ in^{3}$

The package that has the least amount of wasted space is the cylinder

therefore

<u>the answer is the option</u>

the cylinder because it has approximately 11.6 in.3 less wasted space than the prism

5 0

3 years ago

Read 2 more answers

Y= 1/2x-6

Anika [276]

Step-by-step explanation:

Not sure what is being asked..

If you want me to pick an option based off of what I believe ur question is, here is my work.

Y=1/2 (-4)-6

Y=-2-6

Y=-8

For the correct points are (-8,-4)

7 0

4 years ago