The volume of gas a balloon can hold varies directly as the cube of its radius. Imagine a balloon with a radius of 3 inches can hold 108 cubic inches of gas. How many cubic inches of gas must be released to reduce the radius down to 2 inches?

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

y=4

Step-by-step explanation:

x=y-8

-x-y=0

-(y-8)-y=0

Distribute the negative

-y+8-y=0

Combine the like terms

-2y+8=0

-8 (to both sides)

-2y=-8

Divide by -2

y=4

Answer:

[tex]2 {x}^{3} + 11{x}^{2} - 25x - 28[/tex]

Step-by-step explanation:

Using foil method, Multiply the first term

[tex]2 {x}^{2} \times x = 2 {x}^{3} [/tex]

Next, Multiply the Outer term in each parenthesis. (2x^2 and 7

[tex] 2 {x}^{2} \times 7 = 14 {x}^{2} [/tex]

[tex] 2 {x}^{2} \times 7 = 14 {x}^{2} \: \: \: 3x \times - x = - 3x[/tex]

Then, Multiply the Inner Terms (-3x,-4,7) in each parenthesis

[tex] - 3x \times 7 = - 21x[/tex]

[tex] - 4 \times x = - 4x[/tex]

Then multiply the last term (-4 and 7).

[tex] - 4 \times 7 = - 28[/tex]

Combine it you have

[tex]2 {x}^{3} + 14 {x}^{2} - 3 {x}^{2} - 21x - 4x - 28[/tex]

which simplify to

[tex]2 {x}^{3} + 11 {x}^{2} - 25x - 28[/tex]

Answer:

a >= -3

Step-by-step explanation:

So A

Answer:

15

Step-by-step explanation:

if she gave 20$ and got 8.75$ in change, she payed 11.25$

11.25$ (total) / 0.75 (per pen)= 15 (pens she bought)

Answer:

B

Step-by-step explanation:

(2*5) - 2 = 8

May Nilbin Be With You

Answer:

(27x2)1/3 1/3±27×2

Step-by-step explanation:

es la cantidad que me dio al resolverlo

Answer:

its 3x square root i think

Step-by-step explanation:EZ

Apply the distributive property. 5 (2x) +5 (−3y) + 5 ⋅ 4

Multiply 2 by 5

10x + 5 ( − 3y ) + 5 ⋅ 4

Multiply  −3 by 5     10x − 15y + 5 ⋅ 4

Multiply  5 by 4

Answer: 10x −15y + 20

Tip: The sign   "⋅"  means multiply

Answer: £60

Step-by-step explanation:

Natalie bought a pair of shoes for £54 which had been reduced by 10%.

To find the original cost, assume the original cost is x.

The discount would be: 10% * x

The expression would therefore be:

x - (10% * x) = 54

x - 0.1x = 54

0.9x = 54

x = 54 / 0.9

x = £60

Answer:

x=exterior

y=interior

x+y=180

y is greater than or = to 2x.

So one value could be x+2x=180

3x=180

x=60

or you could do 2x+1+x=180

3x=179

x=179/3

or 2x+2+x=180

3x=178

x=178/3

Step-by-step explanation:

Answer:

b(x) = -2x² + 7x + 114

Step-by-step explanation:

Step-by-step explanation:

First we convert 50 cent into dollar,

1 cent = dollar

1 cent = 0.01 dollar

50 cent = 0.5 dollar

According to question,

x is the number of 50¢=$0.5 price increases.

b(x) is the revenue generated

He currently charges $3 per book.

i.e. price of book = 3+0.5x

Quantity or average = 38 per day

According to a study, for every 50¢ increase in rental price, the average business can expect to lose 4 rentals a day.

i.e. quantity became 38-4x

Revenue = Price × Quantity

The required equation is given by,

[tex]ans = \boxed{ 0.6}[/tex]

[tex]since \: cot( \theta)= \frac{1}{ \tan( \theta) } \\ \frac{1}{ \tan( \theta) } = 1.5 \\ (1.5)\tan( \theta) = 1 \\ \tan( \theta) = \frac{1}{1.5} = 0.6666666667 \\ \theta = { \tan}^{ - 1} (0.6666666667) \\ \theta = 33.69 \\ hence: \sin( \theta) = \sin(33.69) = 0.5546992156[/tex]

Answer:

x = -55

Step-by-step explanation:

7 + x/5 = -4

Combine the constants.

x/5 = -11

Multiply both sides by 5 to simplify the denominator.

x = -55

Check.

7 + (-55)/5 = -4

7 + (-11) = -4

7 - 11 = -4

-4 = -4

Your answer is correct.

Hope this helps!

Answer:

[tex]7 + \frac{x}{5} = - 4 \\ \frac{x}{5} = - 4 - 7 \\ = - 11 \\ x = - 11 \times 5 \\ = - 55[/tex]

Answer: D is correct

Step-by-step explanation: Got a 100% on my test

The translation of triangle A is (d) six units right

Translation involves changing the position of a shape

From the question, we understand that:

This means that, triangle A was translated by 6 units to the right

Hence, the true statement is (d)

Read more about translation at:

https://brainly.com/question/4289712

Answer:

15y

Step-by-step explanation:

If you add 3 and 12 together you get 15 and when you get 15 you add in the y

Answer:

Y= - 4/3x + 4

Hope this helps :))

Answer:

Congruent.

Step-by-step explanation:

Answer:

[tex]352.5cm^{2}[/tex]

Step-by-step explanation:

[tex]A=3Rectangles+2Triangles\\=3*7.5*13.5+2*.5*6.5*7.5=352.5cm^{2}[/tex]

Answer:

Kevin had 11 and 30 seconds.

kalfhvbweocnsliydsaieakywcronuosudzopvnrcidsvjrk hope this helps..?

Answer:

180 - 109 = 6x-1

6x - 1 = 71

6x = 72

x = 12

Step-by-step explanation:

I hope and useful for your help

Answer:

.25

Step-by-step explanation:

it would be 1 1/2

i hope this helps!!

let me know!!!!

Answer:

sadafsa a a a a a aa. a heehehwhwhwh hehehheeheheh im going to bed ehehebbebeeb for al jfdjskalsm or worse expelled harry potter

Answer:

16.8

Step-by-step explanation:

just look at the length to the side of it (the "28") and look at the given answers. 4 seems way too small and because the line is shorter than 28 it cant be 43, so 16.8 is the most reasonable option.

Answer:

-4/9

Step-by-step explanation:

find two points that cross perfectly and take the ys and subtract and take the xs and subtract and then do y/x

Hope this helps :)

Answer:

9 cats

Step-by-step explanation:

Answer:

B (-2, 4)

C (-1, 0)

Step-by-step explanation:

(x,y) -> (x - 8, y - 2)

A (2, 3) -> (2 - 8, 3 - 2) = A (-6, 1)

B (6, 6) -> (6 - 8, 6 - 2) = B (-2, 4)

C (7, 2) -> (7 - 8, 2 - 2) = C (-1, 0)

Hope this helped and made sense!

Answer:

y=-3x+10

Step-by-step explanation:

Slope formula y2-y1/x2-x1

7-1/1-3

simplify

6/-2

simplify

-3

now plug -3 into y=mx+b

y=-3(x)+b

choose any point and plug it into the equation, I am using (3,1)

1=-3(3)+b

simplify

1=-9+b

add 9 to both sides

b=10

plug into slope-intercept form

y=-3x+10