The cities are 12.2 miles apart
<u>Step-by-step explanation:</u>
The scale of the map is,
5cm = 10 miles
The distance between the 2 cities in map is 6.2 cm
The actual distance between the 2 cities = (6.2 x 10) / 5
= 62/5
= 12.4
The 2 cities are 12.4 miles apart.
Answer:
Step-by-step explanation:
y = 5x + 20
Start at (0, 20).
Then plot a point at (1, 25).
The line should be going through points (2, 30), (3, 35), (4, 40), (5, 45), etc.
For every time the x number goes up, the y number goes up 5 times for the 5%.
<h3>
Answer: 10 metal bats</h3>
"Ratio of wooden bats to metal bats is 2 to 1" basically means "there are twice as many wooden bats (compared to metal ones)". So if we had 3 metal bats, then we'd have 2*3 = 6 wooden bats. If we had 7 metal bats, then we have 14 wooden ones (because 2*7 = 14). And so on. The basic rule is to multiply the amount of metal bats by 2 to get the amount of wooden ones.
We can go in reverse to divide the amount of wooden bats to get the amount of metal ones. So 20/2 = 10 is the amount of metal bats.
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A more formal approach is to use the proportion below to solve for x
20/x = 2/1
20*1 = x*2
20 = 2x
2x = 20
2x/2 = 20/2
x = 10
and we get the same answer.
Answer:
Only 
is a perfect cube.
Step-by-step explanation:
is not a perfect cube because 8 is not a multiple of 3.
Now, is a perfect cube since 24 is a multiple of 3.
So, can be expressed as
Again, 
is not a perfect cube as 28 is not a multiple of 3.
And also 
is not a perfect cube as 64 is not a multiple of 3.
Therefore, only is a perfect cube. (Answer)
Answer:
4/7
Step-by-step explanation:
Using the hint, we have an original fraction of x/(x+3). The given manipulations and relations can be used to find the value of x, and the original fraction.
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<h3>adding 2 to each term</h3>
The new fraction is ...
<h3>new value</h3>
Apparently, the new value of this fraction is 2/3. We can use this to find the value of x.
The original fraction is ...
4/(4+3) = 4/7
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<em>Alternate solution</em>
In the ratio 2/3, the numerator is twice the difference between the denominator and numerator. 2 = 2(3 -2)
The problem statement tells us the difference between the numerator and denominator is 3. That is not changed by adding the same number to each. This means the fraction equivalent to 2/3 is (2·3)/(3·3) = 6/9. Subtracting 2 from each of the numerator and denominator gives the original fraction:
(6-2)/(9-2) = 4/7
