2-8 Literal Equations And Dimensional Analysis Worksheet With Answers - Cognero Page 14
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272-8 Literal Equations and Dimensional Analysis
Three fourths of a number p less two is five sixths of another number r plus five. Solve for r.
Three
less
two
is
five sixths
plus
five.
fourths of a
of another
number p
number r
2
=
+
5
GIFTS Ashley has 214 square inches of paper to wrap a gift box. The surface area S of the box can be found by
using the formula S = 2w(l + h) + 2lh, where w is the width of the box, l is the length of the box, and h is the height.
If the length of the box is 7 inches and the width is 6 inches, how tall can Ashley s box be?
To find how tall Ashley s box can be, replace S with 214, l with 7 and w with 6 in the equation S = 2w(l + h) + 2lh.
Then, solve for h.
So, the box can be 5 inches tall.
DRIVING A car is driven x miles a year and averages m miles per gallon.
a. Write a formula for g, the number of gallons used in a year.
b. If the average price of gas is p dollars per gallon, write a formula for the total gas cost c in dollars for driving this
car each year.
c. Car A averages 15 miles per gallon on the highway, while Car B averages 35 miles per gallon on the highway. If
you average 15,000 miles each year, how much money would you save on gas per week by using Car B instead of
Page 14
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a. The number of gallons g multiplied by the number of miles per gallon m equals the total number of miles x, so gm =
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