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3 years ago

The radius of one sphere is twice as great as the radius of a second sphere. Find the ratio of their volumes. 1/2 1/4 1/8 1/16

Mathematics

2 answers:

earnstyle [38]3 years ago

7 0

Answer:

1/8

Step-by-step explanation:

Anton [14]3 years ago

5 0

Let's pick some simple points with which to set up an example for ourselves for this. Let's let the smaller radius be 1, and the larger, twice that, be 2. The radius itself is a single unit measure; in other words, it's measured as inches, feet, cm, etc., while the volume is a cubed measure. Volume is measured in inches cubed, feet cubed, cm cubed, etc. Therefore, if we have the radii measuring 1:2, we simply cube those single unit measures to find the ratio of their volumes. 1 cubed is 1, and 2 cubed is 8. So your answer for this is 1/8.

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There are 2820 cars in Farmington. The ratio of medium size cars to compacts is 7 to 5 and the ratio of compacts to full-size ca

oee [108]

Answer:

Number of full size cars = 900

Step-by-step explanation:

The ratio of medium size cars to compacts is 7 to 5 and the ratio of compacts to full-size cars is 8 to 9. Since compact cars are there in both ratios , we need to make the number in the ratio for compact cars to be the same.

$\frac{medium}{compact} = \frac{7}{5}$

Multiply by 8 on numerator and denominator

$\frac{medium}{compact} = \frac{56}{40}$

$\frac{compact}{full size} = \frac{8}{9}$

Multiply numerator and denominator by 5.

$\frac{compact}{full size} = \frac{40}{45}$

Ratio of medium, compact and full size are in ratio 56,40,45.

Total number of cars =2820.

(56 + 40 + 45)x = 2820

x = $\frac{2820}{141}$

x = 20

Number of full size cars = $20\times 45$ =900

3 0

2 years ago

What is this answer???

CaHeK987 [17]

-10 is the correct answer

3 0

3 years ago

Keith drove 436 miles using 16 gallons of gas at this rate how many miles would he drive using 14 gallons of gas

KengaRu [80]

This Question is related to Direct Proportionality

Here : The Number of Miles Driven is Directly Proportional to Number of Gallons of Gas

Number of Miles ∝ Gallons of Gas

Given Keith with 16 Gallons of Gas Drove 436 Miles

⇒ Keith with 1 Gallon of Gas would Drive - $\frac{436}{16}$ Miles

⇒ Keith with 1 Gallon of Gas would Drive : 27.25 Miles

⇒ Keith with 14 Gallons of Gas would Drive : 14 × 27.25 Miles

⇒ Keith with 14 Gallons of Gas would Drive : 381.5 Miles

8 0

3 years ago

Helpppppp pleaseeeeeeee

arlik [135]

Answer:

16 2/3

Step-by-step explanation:

5 0

2 years ago

A store sells black ink pens for $5 and red ink pens for $4. John wishes to buy 20 pens but doesn’t wish to spend more than $92.

Zina [86]

Answer: $4r + 5(20-r) \le 92$

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

Explanation:

r = number of red pens

4r = cost of buying r red pens

example: if r = 10, then 4r = 4*10 = 40 is the total cost of buying 10 red pens

If John buys r red pens, then he must buy 20-r black pens so that r and 20-r add to 20.

John buys 20-r black pens, and at $5 each, so it will cost 5(20-r) dollars for just the black pens alone.

In total, John spends 4r + 5(20-r) dollars for all the pens (red & black)

We want $92 be the most he spends. This is the ceiling or highest value possible.

Therefore,

$4r + 5(20-r) \le 92$

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

Extra info:

If you want to solve for r, then

$4r + 5(20-r) \le 92$

$4r + 5(20)+5(-r) \le 92$ distribute

$4r + 100 - 5r \le 92$

$100 - r \le 92$

$100-r+r \le 92+r$ add r to both sides

$100 \le 92+r$

$100-92 \le 92+r-92$ subtract 92 from both sides

$8 \le r$

$r \ge 8$

So John must buy at least 8 red pens. The most he can buy is 20 red pens since he wants 20 pens total.

8 0

2 years ago