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frutty [35]
3 years ago
11

PLEASE HELP For the expression below, write two other equivalent expressions using different terms. Make sure one is fully simpl

ified. -4(x+2)-2x+4
Mathematics
1 answer:
Julli [10]3 years ago
5 0

Given:

The given expression is

-4(x+2)-2x+4

To find:

The two other equivalent expressions.

Solution:

We have,

-4(x+2)-2x+4

Using distributive property, we get

=-4(x)-4(2)-2x+4

=-4x-8-2x+4

So, one equivalent expression is -4x-8-2x+4.

On further simplification, we get

=(-4x-2x)+(-8+4)

=6x-4

Therefore, the second and fully simplified equivalent expression is 6x-4.

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What is the mean of the high temperatures, in degrees Fahrenheit, for the week? Show your work.
DiKsa [7]
The mean is the average, so add all the numbers and divide by 7 (7 terms).

-14 is the sum, divided by 7 = -2

The mean is -2.
7 0
3 years ago
According to the College Board website, the scores on the math part of the SAT (SAT-M) in a recent year had a mean of 507 and st
Leviafan [203]

Answer:

The actual SAT-M score marking the 98th percentile is 735.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 507, \sigma = 111

Find the actual SAT-M score marking the 98th percentile

This is X when Z has a pvalue of 0.98. So it is X when Z = 2.054. So

Z = \frac{X - \mu}{\sigma}

2.054 = \frac{X - 507}{111}

X - 507 = 2.054*111

X = 735

8 0
3 years ago
a rectangular playground is 40 meters by 10 meters. its area will be covered with shredded tires. each bag of shredded tires cov
Lena [83]
First, we need to find the area of the rectangular playground.
To do this, we must multiply 40 by 10.
We get 400 meters².
Now divide 400 by 200 and you get 2.
That means 2 bags will be needed to cover the entire area of the playground.
To find the price, multiply 30 by 2.
The total cost for this project will be $60.
Hope this helped you out! :)
6 0
3 years ago
Find each angle measure.<br>​
Vitek1552 [10]

Answer for 11-13: m<2: 150, m<6: 150, m<7: 150

Step-by-step explanation:

There is 180 degrees in a straight line. If one part of the line (angle) is 30 degrees, then the other part is 150. If you look at the image, you would see that m<2 is congruent to m<6 ,which means same, and m<7 is congruent to m<3.

Answer for 14-16:  m<EBG: 150, m<AGH: 150, m<DHF: 30.

Step-by-step explanation:

4x = 150               2x + 50 = 150

x = 37.5                2x = 150 - 50

4(37.5) = 150        2x = 100

                             x = 50

                          2(50) + 50 =

                            100 + 50 = 150

4 0
3 years ago
600 millimeters of rain fell in 30 minutes what is the unit rate for millimeters per minute
sleet_krkn [62]
600 mm of rain / 30 min = 50 mm of rain per minute
3 0
3 years ago
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