Write in 0 and 0 at the top: this indicates that if there are zero pennies, the height of the tower is 0. This is the point (0,0). Another point is (4, 28): a tower of 28 pennies is 4 cm tall.
Find the slope of the line connecting (0,0) and (4,28).
4cm - 0 cm
m = ----------------- = (1/7) (cm/penny)
28 - 0
The equation we need, relating # of pennies to height of tower, is
t = (1/7) (cm/penny)x, where x is the # of pennies.
Thus, if x = 1, then t=1/7 cm
And, if x =15, then t = 15/7 cm
And so on.
You are told the ages of Karen and David in terms of Michelle's age.
Let m = Michelle's age.
Michelle's age = m
Karen's age = m + 6
Michelle is two years younger than David, so David is two years older than Michelle.
David's age = m + 2
Add the ages and get 62.
m + m + 6 + m + 2 = 62
3m + 8 = 62
3m = 54
m = 18
Michelle is 18 years old
Karen is 6 years older, so she is 24 years old.
David is 2 years older than Michelle, so he is 20 years old.
Sydney is true because the bike trail is no longer than 24 miles
Answer:
If 2/3 ton of gravel covers 3/4 of a driveway, you need to divide 2/3 divided by 3 to find how much is needed for 1/4 of the driveway. So first step:
1. 2/3 divided by 3 = 2/3 * 1/3. So 2/9.
2. Add 2/3 plus 2/9= 8/9 ton of gravel to cover the whole driveway.
Step-by-step explanation:
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If the sides are in the ratio of 11:16:24, it means that they are all multiples of a same number x, according to these factors.
So, the shorter side is 11x feet long, the middle one is 16x feet long, and the longest side is 24x feet long.
This means that the perimeter is
feet long. But we know that this is 510 feet, so we have
.
So, the three sides are 110, 160 and 240 feet long.
To find the area of a triangle knowing its three sides, you can use Heron's formula, which states that, if 
is half the perimeter of the triangle whose sides are 
, the area 
is given by
In our case, 
so the formula becomes
