# 1 6+ 7 + 4x = x + 3x + 7 pls show work

Step-by-step explanation: 16+7+4x=x+3x+7

combine like terms:            23+4x=4x+7

get x to one side:                  23=8x+7

subtract:                                   16=8x

divide:                                          x=2

## Related Questions

A mountain bike costs $675. If the sales tax is 8%, find the total cost of the bike. Round to the nearest cent, ifnecessary ### Answers Answer:$729.00

Step-by-step explanation:

The tax is ...

0.08 × $675 =$54.00

So, the total cost of the bike is ...

$675 +54 =$729.00

What is the slope of the line through (−10,1)(-10,1)
(−10,1)
left parenthesis, minus, 10, comma, 1, right parenthesis
and
(0,−4)(0,-4)
(0,−4)
left parenthesis, 0, comma, minus, 4, right parenthesis
?

-1/2

Step-by-step explanation:

The slope formula can be used:

m = (y2 -y1)/(x2 -x1)

m = (-4 -1)/(0 -(-10)) = -5/10

m = -1/2

The slope of the line through the given points is -1/2.

The slope of the line passing through (-10, 1) and (0, -4) is -1/2 the answer is -1/2.

### What is the slope?

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

We have two points:

(-10, 1) and (0, -4)

The slope:

m = -5/10

m = -1/2

Thus, the slope of the line passing through (-10, 1) and (0, -4) is -1/2 the answer is -1/2.

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Nora has a ribbon that is 3/4 yard long. She will use 1/2 of it to make a bow. What length of the ribbon will she use for the bow?

Step-by-step explanation:

Suppose that the US plans to send a shipment of "rovers" to Mars. These are mobile robots, programmed to collect rock and soil samples, and then return to the landing site. The rovers operate independently of each other. The mean weight a rover is programmed to collect is 50 pounds, and the standard deviation of weights is 5 pounds. Weights collected by rovers are approximately normally distributed. If the US sends 10 rovers, what is the probability that the average weight of rock and soil brought back by these rovers will be between 48 pounds and 52 pounds? What sampling distribution should we use to compute this probability?

79.24% probability that the average weight of rock and soil brought back by these rovers will be between 48 pounds and 52 pounds

We use the sampling distribution of the sample means of size 10 to solve this question, by the Central Limit Theorem. They are normally distributed with mean 50 and standard deviation 1.58.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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

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

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

What is the probability that the average weight of rock and soil brought back by these rovers will be between 48 pounds and 52 pounds?

This is the pvalue of Z when X = 52 subtracted by the pvalue of Z when X = 48. So

X = 52

By the Central Limit Theorem

has a pvalue of 0.8962

X = 48

has a pvalue of 0.1038

0.8962 - 0.1038 = 0.7924

79.24% probability that the average weight of rock and soil brought back by these rovers will be between 48 pounds and 52 pounds

What sampling distribution should we use to compute this probability?

We use the sampling distribution of the sample means of size 10 to solve this question, by the Central Limit Theorem. They are normally distributed with mean 50 and standard deviation 1.58.

Factorize each expression. (a) r² +2rt - 2st - rs​

so first split into two

now we can factorise each

now the inside of the bracket is the same so we can reconfigure like this

all i did was put the two outside terms together to make (r-s)