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ira [324]
3 years ago
5

Solve. 7 9/16 ÷ 2 3/4

Mathematics
2 answers:
Ahat [919]3 years ago
8 0

Answer:

\frac{11}{4} or 2\frac{3}{4}

Step-by-step explanation:

7 9/16 ÷ 2 3/4

7 \frac{9}{16} =\frac{121}{16}

2 \frac{3}{4} =\frac{11}{4}

Now divide both the fractions. when we divide the fraction , take reciprocal of second fraction and multiply it

\frac{121}{16} \cdot \frac{4}{11}

cancel out 121 and 11. Also cancel out 16 and 4

\frac{11}{4} \cdot \frac{1}{1}

\frac{11}{4}

kotykmax [81]3 years ago
7 0

Answer:

2 3/4

7 9/16 ÷ 2 3/4 = 2.75

so 2.75 as a fraction is 11/4

then we simplify 11/4= 2 3/4

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In 2008 Alice bought a house. In 2014 she sold it for a 20% profit. In 2019 it was then sold at a 5% loss for £182,400 Work out
Wittaler [7]

Answer:

£160,000

Step-by-step explanation:

Alice bought the house in 2008 for £x.

In 2014, the house sold for a 20% profit, so it sold for 1.2x. (* see explanation below)

In 2019, the house sold for a 5% loss, so it sold for 0.95(1.2x). (* see explanation below)

In 2019, it sold for £182,400.

0.95(1.2x) = 182,400

1.14x = 182,400

x = 182,400/1.14

x = 160,000

Answer: £160,000

* Explanation of 1.2 and 0.95.

A quick way to apply a percent increase or decrease to a number is to using the following method. The number you start with is 100% of the number. If you are adding a percent to it, then add the percent to 100% and convert it to a decimal. If you are subtracting the percent, then subtract the percent from 100% and convert to a decimal. Then multiply the decimal by the original number to find the increased or decreased number.

Example of percent increase:

A book used to cost £10. The price went up by 12%. What is the new price?

100% + 12% = 112% = 1.12

1.12 * £10 = £11.20

Example of percent decrease:

A pair of trousers costs £60. It is on sale at 35% off the regular price. What is the sale price?

100% - 35% = 65% = 0.65

0.65 * £60 = £39

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2 years ago
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wlad13 [49]
7 is the answer 3+7=10
6 0
3 years ago
there are 91 days until the craft sale. Autumn needs to make 817 rings before the sale. she wants to make about the same number
marta [7]

817/91  =8.98

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6 0
3 years ago
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1. Find the value of x.<br><br> A. 90<br> B. 80<br> C. 60<br> D. 45
tia_tia [17]

Answer:

A 90

Step-by-step explanation:

multiple ways to prove this.

e.g. since the angle between the two lines from the center of the circle to the 2 tangent touching points is 90 degrees (that is the meaning of these 90 degrees here as the angle of the circle segment defined by the 2 tangent touching points and the circle center), the tangents have the same "behavior" as tan and cot = the tangents at the norm circle at 0 and 90 degrees. they hit each other outside of the circle again at 90 degrees.

another way

imagine the two right triangles of the tangents crossing point to the circle center and the tangent/circle touching points.

the Hypotenuse of each triangle is cutting the 90 degree angle of the circle segment exactly in half (due to the symmetry principle). so the angle between radius side and Hypotenuse is 90/2 = 45 degrees.

that means also the angle of such a right triangle at the tangent crossing point is 45 degrees (as the sum of all angles in a triangle must be 180, we have the remainder of 180 - 90 - 45 = 45 degrees).

the angles of both right triangles at that point are the same, and so we can add 45+45 = 90 degrees for the total angle at the tangent crossing point.

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Answer:

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Step-by-step explanation:

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