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2 years ago

|x-20| if x<-20 I need help with the opposite equation

Mathematics

1 answer:

yKpoI14uk [10]2 years ago

4 0

-(x-20)
Basically it’s the same as your other question but your not adding twenty!

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A square plywood platform has a perimeter which is 8 times the length of a side, decreased by 12. Find the length of a side.

Nina [5.8K]

Answer: The length of a side equals 3 units.

Step-by-step explanation: The given figure is a square, and a square is a shape with all four sides having equal measurement. This means if the length is given as L, then the width would also measure as L.

Also we are given a clue as to the measurement of the perimeter of the square. Normally, the perimeter of a square would be computed as

Perimeter = 4L (that is, add up all four sides). But since we have been told that the perimeter is equal to eight times the length of a side {8 x L, or 8L} decreased by 12 {8L - 12} we can conveniently express the perimeter as

Perimeter = 8L - 12.

However, remember that the formula for a perimeter is Perimeter = 4L. Therefore what we have come up with is,

8L - 12 = 4L

(Remember that both sides of the equation represents the perimeter)

By collecting like terms we now have

8L - 4L = 12

(Remember that when a negative value crosses from one side of the equation to the other, it becomes positive, and vice versa)

8L - 4L = 12

4L = 12

Divide both sides of the equation by 4

L = 3

Therefore, one side of the square measures 3 units

7 0

3 years ago

The board of examiners that administers the real estate broker's examination in a certain state found that the mean score on the

Goshia [24]

Answer:

The passing score is 645.2

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:

$\mu = 553, \sigma = 72$

If the board wants to set the passing score so that only the best 10% of all applicants pass, what is the passing score?

This is the value of X when Z has a pvalue of 1-0.1 = 0.9. So it is X when Z = 1.28.

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

$1.28 = \frac{X - 553}{72}$

$X - 553 = 1.28*72$

$X = 645.2$

The passing score is 645.2

6 0

3 years ago

12e^5 divided 3e^3 simplified

bonufazy [111]

Answer:

$4 {e}^{2}$

Step-by-step explanation:

$\frac{12 {e}^{5} }{3 {e}^{3} } \\ 12 \div 3 \times {e}^{5 - 3} \\ = 4 {e}^{2}$

hope this helps

brainliest appreciated

good luck! have a nice day!

6 0

3 years ago

Marisa bought three movies for $9.99 each into video games for $14.99 each the prices included tax she gave the cashier $70 how

Mrrafil [7]

Answer:

106.70 because you have to subtract 14.99 by 9.99 which is 106.00 and then add that to 70 and your answer is 106.70. by the way I am a kid and a fifth grader.

3 0

3 years ago

**HELP**<br>find the angle measures given the figure is a rhombus.

DIA [1.3K]

Answer:

m<1=74

m<2=37

Step-by-step explanation:

m<2 is the same as the other angle, 37 degrees. So now we need to find the other angle in the triangle.

37+37+x=180.

The total degree of a triangle is 180.

x=106

Subtract that from 180 to get m<1.

180-106=74

I hope this helps!

Good luck!

3 0

3 years ago