Nathaniel measured the height of one shelf on his bookcase. He wants to know which books will fit on the shelf. The shelf is 22.86 sentimeters tall. He measured it again with an inch ruler. The shelf is 9 inches tall.

PART A - Wrte an equatioon you could use to find the number of centimeters in 1 inch.

PART B - Solve the equation you wrote in PART A. Show your work.

PART C - The top shelf of Natheniel's bookcase is 12 inches tall. How many centimeters tall is the top shelf?

Question

shankeyta11 shankeyta11

01-12-2016
Mathematics

Answered

Nathaniel measured the height of one shelf on his bookcase. He wants to know which books will fit on the shelf. The shelf is 22.86 sentimeters tall. He measured it again with an inch ruler. The shelf is 9 inches tall.

PART A - Wrte an equatioon you could use to find the number of centimeters in 1 inch.

PART B - Solve the equation you wrote in PART A. Show your work.

PART C - The top shelf of Natheniel's bookcase is 12 inches tall. How many centimeters tall is the top shelf?

Verified Answer :

Related Questions

Tony Berlants first influences were van Gogh and Matisse True False

Many cities built fallout shelters and ran practice drills in order to Its either A or B because I know that fallout shelters wouldve virtually done nothing but

what is 61100 in word form

How can I fiure out markup from a price and a percent So if i have 150 and I need 20 more how do I do that

Passage of which of the following acts increased tension between the colonists and the British government in 1774 the Townshend Acts the Stamp Act the quarterin

According to Herbert Hoover what would best help those devastated by the Great Depression A federal bailouts of the economy B the establishment of unemployment

A redtailed hawk dives at a constant rate in which its altitude changes by 7 12 meters in 15100 second How long will it take the hawk to dive 70 meters

Can someone please answer There is a picture There is only one problem Thank you so much

Approximately how many molecules of ATP are produced from the complete oxidation of one molecule of glucose C6H12O6 in aerobic cellular respiration A 2 B 4 C 18

to increase an amount by 35 percent what single multiplier would you use

nobrains nobrains · Answer 1 · 2016-12-01T18:41:17-05:00

PART A - So the ruler is 22.86 centimeters tall, and after measuring with an inch ruler, is also 9 inches tall.
ruler = 22.86cm
ruler = 9 in
You can equate 22.86cm and 9in because they both equal the length of the ruler (transitive property).
22.86cm = 9in
Then you can write a proportionality equation.
\(\frac{22.86cm}{9in} = \frac{x}{1in} \\\)

Part B -
Cross multiplying,
\((9in)x = (22.86cm)1 \\ x = \frac{22.86cm}{9in}= 2.54cm/in\)

Part C - We can use something called dimensional analysis - multiplying 12 cm by (1in/2.54cm) - in order to change the units from inches to cm. This is possible because 1in = 2.54cm, the fraction 1in/2.54cm = 1. And also the units cm will cancel out.
\(\frac{12cm}{1} * \frac{1in}{2.54cm} = 4.72in\)