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Ne4ueva [31]
3 years ago
15

If 43 of the 148 reams of paper purchased by a department are used, what is the percentage that remains?

Mathematics
2 answers:
Wewaii [24]3 years ago
3 0
100%/x%=148/43
<span>(100/x)*x=(148/43)*x       - </span>we multiply both sides of the equation by x
<span>100=3.44186046512*x       - </span>we divide both sides of the equation by (3.44186046512) to get x
<span>100/3.44186046512=x </span>
<span>29.0540540541=x </span>
<span>x=29.0540540541

</span>now we have: 
<span>43 is 29.0540540541% of 148</span>
dusya [7]3 years ago
3 0
First, calculate how many reams remain
remaining = 148 - 43
remaining = 105
There are 105 reams of paper remains

Second, change 105 reams into percentage
p = \dfrac{105}{148} \times 100 \%
p = \left(\dfrac{105 \times 100}{148}\right) \%
p = \left(\dfrac{10,500}{148}\right) \%
p = 70.945945945...%
to the nearest tenth
p = 70.9%

The percentage of paper remains is approximately 70.9%
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Y = 2x + 0.5

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The exterior walls and roof of a barn are to be painted. The barn is in the shape of a rectangular prism, with an isosceles tria
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<u>Given:</u>

The rectangular prism has a length of 25 feet, a width of 10 feet and a height 55 feet.

The triangular prism has a base length of 25 feet, a height of 8 feet, and a prism height of 55 feet.

<u>To find:</u>

The total area to be painted.

<u>Solution:</u>

There are 4 external surfaces for the rectangular prism and 4 external surfaces for the triangular prism.

The rectangular prism has 4 rectangles out which there are 2 sets of similar rectangles.

There are two rectangles with lengths of 25 feet and widths of 10 feet while the other two rectangles have lengths of 55 feet and widths of 10 feet.

The area of a rectangle with a length of 25 feet and a width of 10 feet = 25(10)= 250 square ft.

The area of two such rectangles = 2(250) = 500 square feet.

The area of a rectangle with a length of 55 feet and a width of 10 feet = 55(10)= 550 square feet.

The area of two such rectangles = 2(550) = 1100 square feet.

The triangular prism has 2 triangles and 2 rectangles.

The triangles have base lengths of 25 feet and heights of 8 feet while the rectangles have lengths of 55 feet and heights of 14.8 feet.

The area of a triangle with a base length of 25 feet and a height of 8 feet = \frac{1}{2}(25)(8)= 100 square feet.

The area of two such triangles =2(100)= 200 square feet.

The area of a rectangle with a length of 55 feet and a width of 14.8 feet = 55(14.8)= 814 square feet.

The area of two such rectangles = 2(814) = 1628 square feet.

The total area to be painted =500+1100+200+1628 = 3128 square feet.

So an area of 3128 square feet is to be painted.

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3 years ago
A man bought 500 mangoes and found 1/4 of them rotten .If he sold the rest of mangoes at 3.36 each making 12% profit ,what was t
suter [353]

Answer:

<em>The cost price of each mango was $3</em>

Step-by-step explanation:

The man bought 500 mangoes, but 1/4 of them were rotten. There were 1/4*500 = 125 rotten mangoes, thus the number of mangoes he sold is

500 - 125 = 375 mangoes

Selling them at $3.36 each, he had revenue of

375*3.36=$1,260

That amount includes the 12% profit, that is, it's 112% of the cost price, thus the cost price of all mangoes is

1,260 / 112 * 100 = $1,125

The price of each mango was $1,125 / 375 = $3

The cost price of each mango was $3

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3 years ago
If 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is _.
defon

Answer: If 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is <u>its conjugate 7-i5</u>.

Step-by-step explanation:

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Here, 7+5i is a complex number.

So, it conjugate (\overline{7+5i}=7-5i) is also a zero of a polynomial function.

Hence, if 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is <u>its conjugate 7-i5</u>.

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