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erastova [34]
3 years ago
6

Cost to store: $140

Mathematics
1 answer:
MrRa [10]3 years ago
8 0

Answer:

175

Step-by-step explanation:

140

140/4=35

140+35=175

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Multiple Choice
Zanzabum

A) Answer: A. 22.5 cm, 30 cm, and 37.5 cm


Setting the unity measurement as x, the three sides will be 3·x, 4·x, and 5·x. The sum of the three sides will be (3 + 4 + 5)·x = 12·x; this corresponds to the perimeter, therefore:

12·x = 90 cm


We can solve for x:

x = 90 / 12 = 7.5 cm


Hence, the sides will be:

7.5 · 3 = 22.5 cm

7.5 · 4 = 30 cm

7.5 · 5 = 37.5 cm


This situation is represented in option A (which is also the only option whose sides add up to 90).



B) Answer: C. never true


We have:

6 + 8x - 9 = 11x + 14 - 3x


Bring all the terms with x on the left, by subtracting from both sides 11x and -3x, and all the numbers on the right by subtrcting from both sides 6 and -9:

6 + 8x - 9 - 11x - (-3x) - 6 - (-9) = 11x + 14 - 3x - 11x - (-3x) - 6 - (-9)


Cancel out the opposite terms from each side:

8x - 11x + 3x = 14 - 6 + 9


Combine likely terms:

0x = 17


Now you should ask yourself: what number multiplied by zero gives 17 as a result? The answer is none because a number multiplied by zero always equals zero.


Hence, the statement is never true.


C) Answer: r \leq \frac{1}{5}


We have:

5r + 4 ≤ 5


Subtract 4 from both sides:

5r + 4 - 4 ≤ 5 - 4


Combine likely terms:

5r ≤ 1


Divide both sides by 5:

\frac{5r}{5} \leq \frac{1}{5}

r \leq \frac{1}{5}


To graph the set of solutions, you need to set:

y₁ = 5x + 4 and

y₂ = +5


Plot these two lines:

y₂ is a horizontal line at a height of 5;

y₁ is a line passing through (0, 4) and (1, 9)


The set of solutions will be the part of the graph in which y₁ lies underneath y₂ (see picture attached), that happens for x \leq \frac{1}{5}.





4 0
3 years ago
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It takes Emma 18 minutes to type and spell check 14 pages of a manuscript. Find how long it takes her to type and spell check 77
NNADVOKAT [17]

Answer:

99 minutes, or an hour and 39 minutes.

Step-by-step explanation:

It takes Emma 18 minutes to do 14 pages. That means that we can set up a proportion, where Emma uses 18 minutes to do 14 pages, which is equal to x minutes per page!

\frac{18}{14} =\frac{x}{1}

14x = 18

7x = 9

x = 9/7

So, each page takes 9/7 minutes for Emma to finish.

She will do 77 pages. 77 * (9/7) = 11 * 9 = 99.

So, it will take Emma 99 minutes, or an hour and 39 minutes, to type and spell check 77 pages.

Hope this helps!

7 0
3 years ago
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A fair coin is flipped two times. Which diagram shows all of the possible outcomes?
kirza4 [7]

Answer:

A

Step-by-step explanation:

It is the only one that has both heads and tails equally on all options, instead of heads heads or tails tails. There aren't any fair coins that are like that

hope this helps :)

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X÷2+4 greater than 7​
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I’m am almost sure it’s true it should look like this X
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