4.
The ratio is 3/4 for corresponding dimensions, the ratio of their surface areas is equal to the square of this ratio:

Simplify the exponent:

Cross multiply:

Divide 9 to both sides:

So the surface area of the second solid is 54 square meters.
The ratio is 3/4 for corresponding dimensions, the ratio of their volumes is equal to the cube of this ratio:

Simplify the exponent:

Cross multiply:

Divide 64 to both sides:

5.
A globe is a sphere, use the formula for the volume of a sphere:

The radius is half of the diameter, so the radius here is 40/2 = 20. Plug it in the formula, use 3.14 to approximate for Pi:

Simplify the exponent:

Multiply:
Answer:
7
Step-by-step explanation:
Substitute in numbers : 2(5)+3(6) /4
Combine Like Terms : 10+18/4 = 28/4
Answer : 7
Answer:
(3x + 8) = 50
(5x - 20) = 50
(5x + 4y) = 130
Step-by-step explanation:
3x + 8 = 5x - 20
2x = 28
x = 14
5(14) + 4y + 5(14) - 20 = 180
y = 15
Answer:
43
Partial quotient (not shown)
258÷6=42
Answer: 1,320 cl
Step-by-step explanation:
Water and orange squash are mixed in the ratio 11 : 2.
This means that at their simplest if using cl, it would take 11cl of water and 2 cl of orange squash for a proper dilution.
If 240 cl of orange sqaush is used and you need to find the amount of water, use direct proportion with x as water.
11 : 2
x : 240
Cross-multiply:
2x = 11 * 240
x = 2,640 / 2
= 1,320 cl