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bonufazy [111]
3 years ago
7

Alejandro uses the steps below to convert

Mathematics
1 answer:
dezoksy [38]3 years ago
7 0

Answer:

The division was computed incorrectly.

Step-by-step explanation:

Given

Workings:

\frac{5}{8} to percentage

\frac{8}{5} = 1.6 = 160\%

Required

Explain his error

The question says 5/8

Instead, Alejandro's working shows 8/5.

This working is done in an incorrect order and the correct solution is:

Let

x = \frac{5}{8}

Solve the fraction

x = 0.625

Multiply by 100%

x = 0.625 * 100\%

x = 62.5\%

<em>Hence, option (a) is correct.</em>

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<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20-22x%3D10%5C%5C" id="TexFormula1" title="x^{2} -22x=10\\" alt="x^{2} -22x=10\\"
Ronch [10]

Answer:

Step-by-step explanation:

x^2 - 22x = 10

Next step is to complete the square on the left hand side of the equation and it would be balanced by adding the same number to the right side of the equation. It becomes

x^2 - 22x + (22/2)^2 = 10 + (22/2)^2

x^2 - 22x + (11)^2 = 10 + (11)^2

x^2 - 22x + (11)^2 = 10 + 121

x^2 - 22x + (11)^2 = 131

x^2 - 22x + 121^2 = 131

(x - 11)^2 = 131

Taking square root of both the left hand side and the right hand side of the equation, it becomes

x - 11 = ±√131

x - 11 = ±11.45

Adding 11 to the left hand side and the right hand side of the equation, it becomes

x - 11 + 11 = ±11.45 + 11

x = 11.45 + 11 or x = -11.45 + 11

x = 22.45 or x = - 0.45

5 0
4 years ago
Describe the number of faces and thier shapes
Marysya12 [62]
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3 0
4 years ago
Does anyone know what 5.87x 1.5 equals?
dmitriy555 [2]

Answer:

8.805

Step-by-step explanation:

You multiply as if these are two whole numbers. Then, you count the number of numbers that come before the decimal place. You then move the decimal on the answer you got by 587x15 that amount of places to the left.

3 0
3 years ago
The price of a toy usually costing £50 is increased to £65 <br> Workout the percentage increase.
KATRIN_1 [288]

Answer:

30 percent increase

Step-by-step explanation:

3 0
3 years ago
The cafe is serving 3 kinds of sandwiches : tuna (T), chicken (C), and ham(H).
Pavel [41]

Answer:

C

Step-by-step explanation:

Hopefully this helps, Idk how well to explain it but Im pretty sure its C if not tell me! :)

4 0
3 years ago
Read 2 more answers
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