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2 years ago

___________% of 60=15

Mathematics

2 answers:

emmainna [20.7K]2 years ago

6 0

Answer:

The number in the blank should be 25.

Step-by-step explanation:

__% of 60=15.

Keep in mind of means times.

So we first need to solve the following equation:

x60=15

60x=15

Divide both sides by 60:

x=15/60

You can reduce this by dividing top and bottom by 15:

x=1/4

Let's convert 1/4 to a percentage.

1/4=.25=25%.

The number in the blank should be 25 since 25% times 60 is 15 (or a fourth of 60 is 15).

Tasya [4]2 years ago

4 0

Answer:

25%

Step-by-step explanation:

25% of 60 is 15 because 15 is 1/4 of 60 and 1/4 is 25%

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2 years ago

You know 4−3i is the complex conjugate of 4+3i. If you multiply the denominator of −2+5i4+3i by 4−3i, what will you get? Enter y

Alona [7]

Answer:

Step-by-step explanation:

Given

(-2 + 5i)/(4 + 3i)

Required

Multiply the denominator by 4 - 3i

The denominator of the fraction above is 4 + 3i

When multiplied by 4 - 3i, the result is as follows;.

Result = (4 + 3i)(4 - 3i)

Expand

Result = 4(4 - 3i) + 3i(4 - 3i)

Open both brackets (take it one at a time)

Result = 4 * 4 - 4 * 3i + 3i(4 - 3i)

Result = 16 - 12i + 3i(4 - 3i)

Open the second bracket

Result = 16 - 12i + 12i - 3i * 3i

Result = 16 - 12i + 12i - 9i²

In complex numbers, i = √-1

i² = (√-1)²

i² = √-1 * √-1

i² = -1

The expression

Result = 16 - 12i + 12i - 9i²

Becomes

Result = 16 - 12i + 12i - 9(-1)

Result = 16 - 12i + 12i + 9

Collect like terms

Result = 16 + 9 + 12i - 12i

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Hence, when the denominator of the fraction is multiplied by 4 - 3i, the result is 25

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2 years ago