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2 years ago

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22. Find the average of the set of numbers: 1/4, 5/6, and 1/24

2 answers:

erma4kov [3.2K]2 years ago

7 0

Answer:

3/8

Step-by-step explanation:

Find the common factor, which is 24. To make the other fractions have a denominator of 24, multiply the denominator and numerator by a factor that will have the denominator get 24 (the multiplied number has to be the same for the top and bottom). 27/24 divided by 3 is 27/24.You will get 1/4=6/24, and 5/6=20/24. 6/24 + 20/24 = 26/24 + 1/24= 27/24. Divide by 3 since there are 3 numbers. Once you are done dividing, you will get 27/72, and 3/8 is the simplified answer.

lapo4ka [179]2 years ago

7 0

Yesssssssssssssss and nooooooooooooo

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Karen bought a handbag for $55. Agnes spent 1.5 times as much on hers. How much did Agnes spend?

Rus_ich [418]

82.50?? I think because I just multiplied them.

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3 years ago

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If sec(theta) =25/24, find cot(theta) (Picture provided)

larisa [96]

Answer:

B

Step-by-step explanation:

By the definition,

$\sec \theta=\dfrac{\text{hypotenuse}}{\text{adjacent leg}}.$

If $\sec \theta=\dfrac{25}{24},$ we can consider right triangle with hypotenuse 25 un. and adjacent leg 24 un. By the Pythagorean theorem,

$\text{hypotenuse}^2=\text{adjacent leg}^2+\text{opposite leg}^2,\\ \\\text{opposite leg}^2=25^2-24^2,\\ \\\text{opposite leg}^2=625-576,\\ \\\text{opposite leg}^2=49,\\ \\\text{opposite leg}=7\ un.$

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3 years ago

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Using long division to find the quotient, what changes do you first

lora16 [44]

Answer:

$\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4$

Step-by-step explanation:

Given

$Dividend = 125x^3 - 8$

$Divisor = 5x - 2$

Required

Determine the quotient

See attachment for complete process.

First, divide 125x^3 by 5x

$\frac{125x^3}{5x} =25x^2$

Write $25x^2$ at the top

Multiply $5x - 2$ by $25x^2$

$= 125x^3 - 50x^2$

Subtract from 125x^3 - 8

i.e.

$125x^3 - 8 - (125x^3 - 50x^2) = 50x^2 - 8$

Step 2:

Divide 50x^2 by 5x

$\frac{50x^2}{5x} = 10x$

Write $10x$ at the top

Multiply $5x - 2$ by $10x$

$= 50x^2 - 20x$

Subtract from 50x^2 - 8

i.e.

$50x^2 - 8 - (50x^2 - 20x) = 20x - 8$

Step 3:

Divide 20x by 5x

$\frac{20x}{5x} = 4$

Write $4$ at the top

Multiply $5x - 2$ by $4$

$= 20x - 8$

Subtract from 20x - 8

i.e.

$20x - 8 - (20x - 8) = 0$

Hence:

$\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4$

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Step-by-step explanation:

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Answer:

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