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3 years ago

What is the width of a rectangle with a length of 14 cm and an area of 161 cm squared

1 answer:

8 0

Area of a rectangle=length×width. If the area is 161 and the length is 14 then that means: 161=14×width. You would then divide 161÷14 and you will find that the width is 11.5.

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If the Knicks win 5 games for every 2 they lose, then how many wins would they have if they played a total of 84 games?

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Answer:90

Step-by-step explanation:

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3 years ago

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Which graph represents a function with direct variation

vazorg [7]

Answer:

WHere are the graphs

Step-by-step explanation:

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3 years ago

Use the substitution method to solve the system of equations. Choose the correct ordered pair.

motikmotik

Ur gonna have to pick an equation and solve for a variable.

2x - 2y = 6
2x = 2y + 6 ...divide everything by 2 because u want x by itself
x = y + 3

now we sub y + 3 in for x in the other equation
14x - 2y = 78
14(y + 3) - 2y = 78...distribute thru the parenthesis
14y + 42 - 2y = 78...subtract 42 from both sides, cancelling the 42 on the left
-42 -42
-----------------------
14y - 2y = 36 ...simplify
12y = 36...divide by 12 on both sides, cancelling out the 12 on the left
y = 36/12
y = 3

now , we already know that x = y + 3...and we know y = 3...so sub in 3 for y and solve for x
x = y + 3
x = 3 + 3
x = 6

solution is (6,3)

it is always a good idea to check ur answer by subbing it into one or both of the equations to see if it is correct
2x - 2y = 6......(6,3)...x = 6 and y = 3
2(6) - 2(3) = 6
12 - 6 = 6
6 = 6 (correct)

so yes, ur solution is (6,3)

4 0

3 years ago

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28, 45, 12, 34, 36, 45, 19, 20

Alborosie

1) Mean of the set of data: 29.88

2) Mean absolute deviation: 10.13

3) See explanation

Step-by-step explanation:

The mean of a set of data it is calculated as

$\bar x = \frac{1}{N}\sum x_i$

where

N is the number of data in the set

$x_i$ is the value of each point in the dataset

For the set of data in this problem, we have:

$x_i =[28, 45, 12, 34, 36, 45, 19, 20]$

And the number of values is

N = 8

Therefore, we can calculate the mean:

$\bar x = \frac{1}{8}(28+ 45+ 12+ 34+ 36+ 45+ 19+ 20)=\frac{239}{8}=29.88$

The mean absolute deviation of a set of data is given by

$\delta = \frac{1}{N}\sum |x_i-\bar x|$

where

N is the number of values in the dataset

$x_i$ are the single values

$\bar x$ is the mean of the dataset

The dataset here is

$x_i =[28, 45, 12, 34, 36, 45, 19, 20]$

The mean, calculated in part 1), is

$\bar x = 29.88$

And

N = 8

Therefore the mean absolute deviation is

$\delta = \frac{1}{8}(|28-29.88|+|45-29.88|+|12-29.88|+|34-29.88|+|36-29.88|+|45-29.88|+|19-29.88|+|20-29.88|)=\frac{81}{8}=10.13$

The mean of a dataset is the sum of the single values of the dataset divided by the number of values. The mean represents the value $\bar x$ for which, if the dataset would have N values all equal to $\bar x$ , the sum of the values of the dataset would be the same as the sum of the actual values.

The mean absolute deviation for a set of data represents the average of the absolute deviations of the single points from the mean of the dataset. This quantity gives a measure of the "dispersion" of the points around the mean: in fact, the larger the mean absolute deviation is, the more the points are "spread" around the mean of the dataset. Instead, if the mean absolute deviation is small, it means that the points are closer to the mean value.

Learn more about mean and spread of a distribution:

brainly.com/question/6073431

brainly.com/question/8799684

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#LearnwithBrainly

7 0

4 years ago

How to multiply and divide integers

Artyom0805 [142]

You multiply or divide integers just as you do whole numbers, except you must keep track of the signs. To multiply or divide signed integers, always multiply or divide the absolute values and use these rules to determine the sign of the answer.

When you multiply two integers with the same signs, the result is always positive. Just multiply the absolute values and make the answer positive.

Positive x positive = positive
Negative x negative = positive

When you multiply two integers with different signs, the result is always negative. Just multiply the absolute values and make the answer negative.

Positive x negative = negative
Negative x positive = negative

When you divide two integers with the same sign, the result is always positive. Just divide the absolute values and make the answer positive.

Positive ÷ positive = positive
Negative ÷ negative = positive

When you divide two integers with different signs, the result is always negative. Just divide the absolute values and make the answer negative.

Positive ÷ negative = negative
Negative ÷ positive = negative

6 0

4 years ago

Read 2 more answers