All categories

3 years ago

Find the quotient of 4 1/4 divide 2 1/5

1 answer:

3 0

1 41/44

first change both into improper fractions
because it's division, flip the second term while changing sign from division to multiplication.

You might be interested in

Please help! I will mark brainliest :))

Valentin [98]

First do inside the parenthesis first.

When dividing two exponents subtract them.

15-5 = 10

So w^15 / w^5 becomes w^10

Now you have (w^10)^4

Now multiply the exponents:

10 x 4 = 40

Final answer is w^40

3 0

3 years ago

What is the slope of the line that passes through the points ( 5 , − 10 ) (5,−10) and ( 11 , − 12 ) ? (11,−12)? Write your answe

yan [13]

The slope of the line that passes through (5,−10) and ( 11 , − 12 ), in simplest form is: -1/3

Recall:

The slope of a line passing across through two points can be calculated using: $m = \frac{y_2 - y_1}{x_2 - x_1}$

Given two points:

(5,−10) and ( 11 , − 12 )

Let,

$(5,-10) = (x_1, y_1)\\\\( 11 , - 12) = (x_2, y_2)$

Substitute

$m = \frac{-12 - (-10)}{11 - 5}$

Slope (m) = -2/6

Slope (m) = -1/3

Therefore the slope of the line that passes through (5,−10) and ( 11 , − 12 ), in simplest form is: -1/3

Learn more about slope of a line on:

brainly.com/question/3493733

4 0

2 years ago

What is the slope between the points (8, -2) and (-7, 10)

lara [203]

Slope formula:
(y2-y1)/(x2-x1)

Substitute in the points into the slope formula.

Slope= [10-(-2)] / [(-7)-8]
Slope= (10+2) / (-15)
Slope= 12/-15
Slope= -12/15
Simplify (3 goes into each)
Slope= -4/5

Hope this helps!! :)

8 0

2 years ago

<img src="https://tex.z-dn.net/?f=%5Csf%20-10-11x%2B24%3D3x" id="TexFormula1" title="\sf -10-11x+24=3x" alt="\sf -10-11x+24=3x"

olga55 [171]

Answer:

- 14x + 14

Step-by-step explanation:

- 10 - 11x + 24 - 3x ← collect like terms

= (- 11x - 3x) + (- 10 + 24)

= - 14x + 14

4 0

2 years ago

Read 2 more answers

Suppose that we have collected a sample of 8 observations with values 12.6, 12.9, 13.4, 12.3, 13.6, 13.5, 12.6, and 13.1. What a

Korolek [52]

Answer:

The sample mean is 13.

The sample variance is 0.2286.

The sample standard deviation is 0.4781.

Step-by-step explanation:

The sample is:

S = {12.6, 12.9, 13.4, 12.3, 13.6, 13.5, 12.6, 13.1}

The sample is of size n = 8.

The formula to compute the sample mean, sample variance and sample standard deviation are:

$\bar x=\frac{1}{n} \sum x$

$s^{2}=\frac{1}{n}\sum (x-\bar x)^{2} \\s=\sqrt{\frac{1}{n}\sum (x-\bar x)^{2} }\\$

Compute the sample mean as follows:

$\bar x=\frac{1}{n} \sum x\\=\frac{1}{8}(12.6+ 12.9+ 13.4+ 12.3+ 13.6+ 13.5+ 12.6+ 13.1)\\=\frac{104}{8}\\ =13$

The sample mean is 13.

Compute the sample variance as follows:

$s^{2}=\frac{1}{n-1}\sum (x-\bar x)^{2} \\=\frac{1}{8-1}[(12.6-13)^{2}+(12.9-13)^{2}+(13.4-13)^{2}+...+(13.1-13)^{2}] \\=\frac{1}{7}\times1.6\\=0.2286$

The sample variance is 0.2286.

Compute the sample standard deviation as follows:

$s=\sqrt{s^{2}}\\=\sqrt{0.2286}\\=0.4781$

The sample standard deviation is 0.4781.

4 0

3 years ago