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PIT_PIT [208]
3 years ago
11

Rectangle ABCD is similar to rectangle QRST. The width of ABCD is 5 inches and the length is 8 inches. If the length of QRST is

12 inches, what is the width of QRST?

Mathematics
1 answer:
omeli [17]3 years ago
8 0
Answer: 7.5

Form your proportion. Let x be the width of QRST.

Length of ABCD      Length of QRST
-----------------------  =  ------------------------- 
Width of ABCD         Width of QRST

8/5 = 12/x

Solve for x by cross-multiplying.
(8)(x) = (12)(5)
8x = 60
x = 7.5


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When making a book cover, Anwar adds an additional 20 square inches to the surface area to allow for overlap. How many square in
e-lub [12.9K]

Answer:

234 square inches

Step-by-step explanation:

We are given that

Length of book, l=11 in

Width of book, w=8 in

Height of book, h=1in

Additional area required to overlap=20 square inches

We have to find how many square inches of paper to make  cover of one book.

We know that surface area of cuboid

S=2(lb+bh+hl)

Using the formula

Surface area of book

S=2(11\times 8+8\times 1+1\times 11)

S=214 in^2

Total paper used to make cover of one book

=Surface area of book +additional surface area

=214+20

=234in^2

Hence, Anwar will use paper to make cover of one book=234 square inches

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=4%20%5Cfrac%7B1%7D%7B9%7D%20%20%2B%201%20%5Cfrac%7B1%7D%7B2%7D%20" id="TexFormula1" title="4 \
tino4ka555 [31]

Step-by-step explanation:

\tt{ 1. \:  \: 4 \frac{1}{9} + 1 \frac{1}{2}}

⇢ \tt{  \frac{37}{9}  +  \frac{3}{2} }

⇢ \tt{ \frac{37  \times 2 + 3 \times 9}{18} }

⇢ \tt{ \frac{74 + 27}{18} }

⇢ \tt{ \frac{101}{18}}

⇢ \boxed{ \tt{5 \frac{11}{18}} }

---------------------------------------------------------

\tt{ \: 2. \:  \: 4 \frac{1}{2} \div \frac{3}{5}}

⇢ \tt{ \frac{9}{2}  \times  \frac{5}{3}}

⇢ \tt{ \frac{9  \times 5}{2 \times 3}}

⇢ \tt{ \frac{45}{6}}

⇢ \boxed{ \tt{7 \frac{3}{6}} }

Hope I helped ! ♡

Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

6 0
3 years ago
Solve the system:
miv72 [106K]

Answer:

B) (0, 0)

Step-by-step explanation:

It is where the two figures intersect on the graph!

<u><em>Hope this Helps!! :))</em></u>

8 0
3 years ago
First answer gets a thanks
Karolina [17]
I would have to say A - Mean; because the data is skewed and there are outliers.

This is because the median of this would not be accurate for the number of kids that read no books and the random three kids that read ten. Mean, however, would find the true median within the plot and utilize and take into account the outliers and how skewed the data is.

Hope this helps!
7 0
3 years ago
Read 2 more answers
The equations of two functions are y=-21x+9 and y=24x+8 which function is changing more quickly? Explain
antoniya [11.8K]

Given:

The equations are

y=-21x+9

y=24x+8

To find:

Which function is changing more quickly.

Solution:

The slope intercept form of a line is

y=mx+b

Where m is slope and b is y-intercept.

On comparing y=-21x+9 with the slope intercept form, we get

m_1=-21

|m_1|=|-21|

|m_1|=21

On comparing y=24x+8 with the slope intercept form, we get

m_2=24

|m_2|=24

Since, |m_1|, it means the absolute rate of change of second function is greater than the first function.

Therefore, the second function is changing more quickly.

3 0
3 years ago
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