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Lady bird [3.3K]
3 years ago
8

The two rectangles shown have equal areas. Find the value of x

Mathematics
1 answer:
Tema [17]3 years ago
7 0

Answer:

x=18

Step-by-step explanation:

We need to find the areas of the rectangles

1st rectangle

A= l*w

A = (2x+4)*9

   = 18x+36



2nd rectangle

A = l*w

   = 15*(3x-30)

    = 45x-450


Since the area of the rectangles are equal, we set these two equations equal

18x+36 = 45x-450

Subtract 18x from each side

18x-18x+36 = 45x-18x-450

36 = 27x-450

Add 450 to each side

36+450 =27x

486 = 27x

Divide by 27 on each side

486/27 = 27x/27

18=x


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diamong [38]

Answer:

The blank on the top is 0.31 because that is what you multiply 80 by

The blank in the middle is 24.8 because that's what you get when you multiply 80 by 0.31

The blank on the bottom is 0.31 because that is what you multiply 80 by

Step-by-step explanation:

Use proportions to solve

80/100 = x / 31

80*31 = 100x

2480 = 100x

x = 24.8

6 0
2 years ago
At the local grocery store, cherries cost $5 for 2 pounds and $7.50 for 3 pounds How much would it cost to purchase 8 ? pounds o
sveticcg [70]
It would cost 20 dollars
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3 years ago
A business knew that 30%, percent of its customers were less than 25 years old. The business wanted to increase this percentage,
jeyben [28]

Answer:

The answer is "0.9258201 or \bold{ \frac{0.36 -0.3}{\sqrt{\frac{0.3 \times 0.7 }{50}}}}".

Step-by-step explanation:

\to P= 30 \ \%\\\\ \to  x= 18 \\\\ \to n=50\\\\\\\hat p= \frac{x}{n} = \frac{18}{50} = 0.36 \\\\\bold{Formula:}\\\\X= \frac{\hat p -p}{\sqrt{\frac{p \times (1-p)}{n}}}\\\\

    = \frac{0.36 -0.3}{\sqrt{\frac{0.3 \times (1-0.3)}{50}}}\\\\= \frac{0.36 -0.3}{\sqrt{\frac{0.3 \times 0.7 }{50}}}\\\\= \frac{0.36 -0.3}{\sqrt{\frac{0.21}{50}}}\\\\= \frac{0.06}{\sqrt{0.0042}}\\\\= \frac{0.06}{0.064807407}\\\\= 0.9258201

3 0
3 years ago
you can buy 1⁄4 pizza for 5 dollars, how much can you purchase for 8 dollars? Write your answer as a fraction.
Colt1911 [192]
Write and solve an equation of ratios:

1/4 pizza        $5
------------- = -----------
       x              $8
                                                     2 pizza
Then (1/4)($8) = ($5)x, or x = ---------------   (that's 2/5 of a whole pizza).
                                                     5
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3 years ago
W+8=-3<br> i don't understand how to solve the problem
Bogdan [553]

Answer:

It is negetive 11

Step-by-step explanation:

First you need to subtract -3-8 and you will get -11.

This is called inverse operation

8 0
3 years ago
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