Numerical expressions contain numbers, while algebraic expressions contain variables and numbers.
<u>Numerical Expression</u>
"Difference" indicates that we'll be subtracting 13 from 48.
48 - 13 = 35
<u>Algebraic Expression</u>
Variables represent the unknown number, in this case the difference between 48 and 13. Let d represent the difference between the two.
48 - 13 = d
35 = d
The solution to the problem is as follows:
To Washington DC, she travelled a total of 54538 - 54250 = 288 miles.
Therefore, 288 miles / 9 gal = 32 miles/gal.
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Use the Pythagorean theorem to find z:
z = √(6^2 + 9^2)
z= √(36 + 81)
z = √117
z = 3√13 = 10.8
Use leg rule to find x:
x/6 = 6/9
Cross multiply:
9x = 36
Divide both sides by 9:
x = 36/9
x = 4
Use Pythagorean theorem to find y:
y = √(6^2 + 4^2)
y= √(36 + 16)
y = √52
y = 2√13 = 7.2