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3 years ago

A math textbook is 1 1/4 in. thick. how much shelf space is needed for 30 copies of the book?

1 answer:

8 0

Hello!

You have to multiply 1 1/4 by 30 because each math book is 1 1/4 in. thick, and 30 books is 1 1/4 by 30. First change 30 and 1 1/4 to an improper fraction.

$\frac{30}{1} \times \frac{5}{4} = \frac{150}{4} = 37 \frac{1}{2}$

$\framebox{37 1/2 inches}$

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April worked 1 1/2 times as long on her math project as did Carl. Debbie worked 1 1/4 times as long as Sonia. Richard worked 1 3

vlada-n [284]

Answer:

Student Hours worked

April. $7\frac{7}{8} \ hrs$

Debbie. $8\frac{1}{8}\ hrs$

Richard. $7\frac{19}{24}\ hrs$

Step-by-step explanation:

Some data's were missing so we have attached the complete information in the attachment.

Given:

Number of Hours Carl worked on Math project = $5\frac{1}{4}\ hrs$

$5\frac{1}{4}\ hrs$ can be Rewritten as $\frac{21}{4}\ hrs$

Number of Hours Carl worked on Math project = $\frac{21}{4}\ hrs$

Number of Hours Sonia worked on Math project = $6\frac{1}{2}\ hrs$

$6\frac{1}{2}\ hrs$ can be rewritten as $\frac{13}{2}\ hrs$

Number of Hours Sonia worked on Math project = $\frac{13}{2}\ hrs$

Number of Hours Tony worked on Math project = $5\frac{2}{3}\ hrs$

$5\frac{2}{3}\ hrs$ can be rewritten as $\frac{17}{3}\ hrs.$

Number of Hours Tony worked on Math project = $\frac{17}{3}\ hrs.$

Now Given:

April worked $1\frac{1}{2}$ times as long on her math project as did Carl.

$1\frac{1}{2}$ can be Rewritten as $\frac{3}{2}$

Number of Hours April worked on math project = $\frac{3}{2}$ $\times$ Number of Hours Carl worked on Math project

Number of Hours April worked on math project = $\frac{3}{2}\times \frac{21}{4} = \frac{63}{8}\ hrs \ \ Or \ \ 7\frac{7}{8} \ hrs$

Also Given:

Debbie worked $1\frac{1}{4}$ times as long as Sonia.

$1\frac{1}{4}$ can be Rewritten as $\frac{5}{4}$ .

Number of Hours Debbie worked on math project = $\frac{5}{4}$ $\times$ Number of Hours Sonia worked on Math project

Number of Hours Debbie worked on math project = $\frac{5}{4}\times \frac{13}{2}= \frac{65}{8}\ hrs \ \ Or \ \ 8\frac{1}{8}\ hrs$

Also Given:

Richard worked $1\frac{3}{8}$ times as long as tony.

$1\frac{3}{8}$ can be Rewritten as $\frac{11}{8}$

Number of Hours Richard worked on math project = $\frac{11}{8}$ $\times$ Number of Hours Tony worked on Math project

Number of Hours Debbie worked on math project = $\frac{11}{8}\times \frac{17}{3}= \frac{187}{24}\ hrs \ \ Or \ \ 7\frac{19}{24}\ hrs$

Hence We will match each student with number of hours she worked.

Student Hours worked

April. $7\frac{7}{8} \ hrs$

Debbie. $8\frac{1}{8}\ hrs$

Richard. $7\frac{19}{24}\ hrs$

5 0

3 years ago

Read 2 more answers

Pyramid A is a square pyramid with a base side length of 7 inches and a height of 6 inches. Pyramid B has a volume of 3,136 in?.

anygoal [31]

Answer:

WE HAVE FIND HOW MUCH MAY TIME BIGGER IS THE VOLUME OF PYRAMID B THAN PYRAMID A.

The answer is 32 times

Step-by-step explanation:

Volume of Pyramid B = 3136 in³

Volume of Pyramid A = ?

We have to find volume of Pyramid A. As Pyramid is a square pyramid, its volume is given as:

$V=\frac{(b^2)(h)}{3}$

where b = base = 7 and h = height = 6. Substitute the values:

$V=\frac{7^2\cdot6}{3}\\V=98\\$

Volume of Pyramid A = 98 in³

To find how many time B is bigger than A, divide volume of B by A:

$\frac{3136}{98}=32$

So, volume of Pyramid B is 32 times bigger than volume of Pyramid A

6 0

2 years ago

Billy fills a crate with equal-sized cubes. The volume of each cube is exactly 1 cubic foot. He can fit 7 cubes across the lengt

gayaneshka [121]

Answer:

Step-by-step explanation:

your right on 105 cubic feet

8 0

3 years ago

A grocery store bought milk for $2.50 per half gallon and stored it in two refrigerators. During the night, one refrigerator mal

daser333 [38]

In this problem, we let x be the number of half gallons of milk the store bought, and x-12 be the remaining half gallonsWe use the equation profit = revenue-cost
88.08=4.02(x-12)-2.60x88.08=4.02x-48.24-2.6x1.42x=88.08+48.24=136.32x=136.32/1.42=96Hence, the number of half gallons of milk the store bought is 96

4 0

3 years ago

62 in x 48 in 144 in Set Up Proportion height=

JulijaS [17]

Answer:

A geometric diagram of the two shadows and the height of the two people are shown below.

Step-by-step explanation:

5 0

3 years ago