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2 years ago

Twenty less than 8 times a number is the same as 15 more than the number.

2 answers:

7 0

X-number
8x-20=15+x (subtract x)
7x-20=15 (then add 20)
7x=35 (then divide by 7)

I think you've got it from now, if not, just do 35 divided by 7. But go over the steps, so that you know how to do these types of questions.

JulijaS [17]2 years ago

3 0

8x-20=15+x

x=number

Each side of the equation should be equal to each other

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A box of marbles can be shared equally among 6,7,or 8 students with 4 marbles left over each time.what is the least possible num

elena-s [515]

168 is the least common multiple of 6,7,and 8

8 0

3 years ago

$2000 was borrowed for 4 years with an interest rate of 3% compounded annually. What is the total amount owed at the end of the

kompoz [17]

Answer:

$\$2,251.02$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the total amount owed

P is the amount of money borrowed

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=4\ years\\ P=\$2,000\\ r=3\%=3/100=0.03\\n=1$

substitute in the formula above

$A=2,000*(1+\frac{0.03}{1})^{1*4}$

$A=2,000*(1.03)^{4}$

$A=\$2,251.02$

4 0

3 years ago

Read 2 more answers

The area of the Pacific Ocean is about 6.0061 x 107 square miles. The area of the Southern Ocean is about 7.8483 x 106 square mi

Scilla [17]

Answer:

A. 8

Step-by-step explanation:

6.0061 x 10^7

/ = 6/8 x 10^7/10^6

7.8483 x 10^6

0.75 x 10^7-6

0.75 x 10^1

A: 0.75 = 7.5 = 8.

5 0

2 years ago

Help I WILL GIVE Brainiest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

kondor19780726 [428]

Answer:

b. infinite solutions

Step-by-step explanation:

$-\frac{1}{2}x+\frac{1}{2}y=-1\\\\\textsf{subtract} \ -\frac{1}{2}y \ \textsf{from both sides:}\\\\\implies -\frac{1}{2}x=-1-\frac{1}{2}y\\\\\textsf{mulitply both sides by -2:}\\\\\implies x=2+y\\\\\textsf{subtract} \ y \ \textsf{from both sides:} \ x-y=2$

Therefore, the graphs are the same.

If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.

6 0

2 years ago

Read 2 more answers

The average full-time faculty member in a college works an average of 53 hours per week. a) If we assume the standard deviation

arsen [322]

Answer:

2.28% of faculty members work more than 58.6 hours a week.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

The average full-time faculty member in a college works an average of 53 hours per week. Standard deviation of 2.8 hours.

This means that $\mu = 53, \sigma = 2.8$

What percentage of faculty members work more than 58.6 hours a week?

The proportion is 1 subtracted by the p-value of Z when X = 58.6. So

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

$Z = \frac{58.6 - 53}{2.8}$

$Z = 2$

$Z = 2$ has a p-value of 0.9772

1 - 0.9772 = 0.0228

0.0228*100% = 2.28%

2.28% of faculty members work more than 58.6 hours a week.

6 0

2 years ago