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3 years ago

Find each quotient. Write in simplest form. keep answer as fraction - not decimal

Mathematics

1 answer:

never [62]3 years ago

3 0

$\frac{mn^{2}}{4} /\frac{m^{2}n}{8}$

in division of fraction we take reciprocal of second fraction and multiply it with first

$\frac{mn^{2}}{4} * \frac{8}{m^{2}n}$

cancelling like terms we get

$\frac{2n}{m}$

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Im really confused can somebody explain this?

vovikov84 [41]

Given:

The given ratio is $16 : 12$

We need to determine three ratios that are equivalent to the given ratio.

Option A: $8:6$

The given ratio is $16 : 12$

Let us divide the given ratio $16 : 12$ by 2.

Thus, we have;

$8:6$

Hence, the expression $8:6$ is equivalent to $16 : 12$

Thus, Option A is the correct answer.

Option B: $32:24$

The number 32 goes by 16 in 2 times and the number 24 goes by 12 in 2 times.

Thus, multiplying the ratio $16 : 12$ by 2, we get;

$32:24$

Thus, the expression $32:24$ is equivalent to $16 : 12$

Hence, Option B is the correct answer.

Option C: $4:3$

Let us divide the given ratio $16 : 12$ by 4.

Thus, we have;

$4:3$

Thus, the expression $4:3$ is equivalent to $16 : 12$

Hence, Option C is the correct answer.

Option D: $12:8$

The number 12 goes by 16 in $\frac{3}{4}$ times and the number 8 goes by 12 in $\frac{2}{3}$ times.

The ratios are multiplied by different numbers.

Thus, the expression $12:8$ is not equivalent to $16 : 12$

Hence, Option D is not the correct answer.

Option E: $24:16$

The number 24 goes by 16 in 1.5 times and the number 16 goes by 12 in 0.75 times.

The ratios are multiplied by different numbers.

Thus, the expression $24:16$ is not equivalent to $16 : 12$

Hence, Option E is not the correct answer.

Therefore, the equivalent ratios are Option A, B and C

5 0

3 years ago

Please answer the question below

alexandr402 [8]

The value of x in the given sector is determined as 7.1.

<h3>Area of the sector</h3>

Total area of the sector = area of the shaded + area of the unshaded

Since shaded and unshaded areas are equal, the value of x is calculated as follows;

πr²θ/360 = πx²60/360 + πx²60/360

πr²θ/360 = 2(πx²θ/360)

πr² = 2(πx²)

r² = 2x²

x² = r²/2

x² = (10²)/2

x² = 50

x = √50

x = 7.1

Thus, the value of x in the given sector is determined as 7.1.

Learn more about area of sector here: brainly.com/question/22972014

#SPJ1

4 0

2 years ago

The square root of 216 lies between which two integers?

sleet_krkn [62]

14.6969385 lies between 14 and 15.

I hope it's right! Virtually slap me if it is not.

7 0

3 years ago

Rhonda wants to take out a 30-year, $280,000 loan with a 4.4% APR. She is considering purchasing 2 points, which will decrease h

Paha777 [63]

Given Information:

Loan amount = $280,000

Annual Percentage Rate = APR = 4.4% = 0.044

Number of years = 30

Required Information:

Monthly payment with points = ?

Monthly payment without points = ?

Answer:

Monthly payment with points = $1,361

Monthly payment without points = $1,402.13

Step-by-step explanation:

The monthly payment can be found using,

$MP = P\times \frac{r\times (1+r)^{n}}{(1+r)^{n} - 1}$

P is the loan amount.

Where interest rate r is given by

$r = \frac{APR}{12}$

Total number of payments n are given by

$n = 30\times12 = 360$

Monthly payment with points:

Rhonda is considering purchasing 2 points and each decreases APR by 0.125%

So the APR becomes

$APR = 4.4\% - 0.125(2)\\\\APR = 4.4\% - 0.25\%\\\\APR = 4.15\%$

and the corresponding interest rate r is

$r = \frac{APR}{12}\\\\r = \frac{4.15\%}{12}\\\\r = 0.3458\% \\\\r = 0.003458$

Finally, the monthly payment is

$MP =280,000\times \frac{0.003458\times (1+0.003458)^{360}}{(1+0.003458)^{360} - 1}\\\\MP =280,000\times 0.0048608 \\\\MP = \$ 1,361$

Monthly payment without points:

Interest rate r is,

$r = \frac{APR}{12} \\\\r = \frac{4.4}{12} \\\\r = 0.3667\% \\\\r = 0.003667$

Monthly payment is,

$MP =280,000\times \frac{0.003667\times (1+0.003667)^{360}}{(1+0.003667)^{360} - 1}\\\\MP =280,000\times 0.0050076 \\\\MP = \$ 1,402.13$

So monthly payment with points is $1,361 and monthly payment without points is $1,402.13

6 0

4 years ago

What is equivalent to 9 hundreds+2000+1

rjkz [21]

2901?

900 (nine hundreds) + 2000+ 1 = 2901

5 0

4 years ago

Read 2 more answers