Answer:
y= 3x
Step-by-step explanation:
This involves creating some equations.
First, these are what the letters I used stand for:
c = children
w = women
m = men
x = total population
Then, we must make an equation for each statement.
2/5x = m (2/5 of the people are men)
3c = w (there are 3 times as many women than children)
45+c = m (there are 45 more men than children)
Now, let's start plugging in our numbers:
x = all the men, women, and children
2/5(m+w+c) = m
2/5 (45+c +3c + c) = m [Now simplify]
2/5 (45 + 5x) = m [Now Distribute]
2/5(45) + (2/5)(5x) = m
2c + 18 = m [Above we stated that there were the same amount as men as c +45]
2c + 18 = 45 +c [Now set equal to c]
2c (-c) +18 = 45 +c (-c)
c+18 (-18) = 45 (-18)
c = 27
Now that we know that there was 27 children, we can plug 27 in for c in the other equations.
MEN = 27 + 45
WOMEN = 3(27)
CHILDREN = 27
Now add those three answers to find your total!
P - 4.8 ≤ 6
p - 4.8 + 4.8 ≤ 6 + 4.8
p ≤ 10.8
Is there supposed to be a picture??
But to answer ur question when ur referring to x your referring to 1 hope this helps
Answer:
- hemisphere volume: 262 m³
- cylinder volume: 942 m³
- composite figure volume: 1204 m³
Step-by-step explanation:
A. The formula for the volume of a hemisphere is ...
V = (2/3)πr³
For a radius of 5 m, the volume is ...
V = (2/3)π(5 m)³ = 250π/3 m³ ≈ 261.799 m³
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B. The formula for the volume of a cylinder is ...
V = πr²h
For a radius of 5 m and a height of 12 m, the volume is ...
V = π(5 m)²(12 m) = 300π m³ ≈ 942.478 m³
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C. Then the total volume is ...
V = hemisphere volume + cylinder volume
V = 261.799 m³ +942.478 m³ = 1204.277 m³
__
Rounded to the nearest integer, the volumes are ...
- hemisphere volume: 262 m³
- cylinder volume: 942 m³
- composite figure volume: 1204 m³
_____
As a rule, you only want to round the final answers. Here, the numbers are such that rounding the intermediate values still gives the correct final answer. That is not always the case.
