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bazaltina [42]
3 years ago
7

What is -4x-5=6-11x? Please show work

Mathematics
1 answer:
BartSMP [9]3 years ago
3 0
First, you would add 11x to both sides, because you are trying to separate the variable pieces and the constants (integers).

If performed correctly, you would get the equation
7x-5=6

Then, you would add 5 to both sides, to get the 7x alone.

This results in the equation 7x=11

Then, to get x alone, without a coefficient, you would need to divide both sides by 7.

x=11/7


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A data set has the following characteristics: Mean: 4.9 Median: 6 Mode: 6 Variance: 4 The z-score is the number of
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The z-score is the number of a data value that represents how many standard deviation is it from the mean. It is calculated from the ratio of the difference of a data value and the population mean and the standard deviation of the data set. Having a z-score of zero would mean that the value is the same as the mean. A z-score that is greater than 1 would mean that the value is x standard deviation greater than the mean. If for a certain data, a z-score of  positive 2.5 is calculated, then it means that the data is 2.5 standard deviations away and above from the mean of the whole set. In a normal 
3 0
3 years ago
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What percent of the bill will you pay if you pay your bill plus a 9.5% tax?
Gelneren [198K]

Answer:

109.5% of the bill

Step-by-step explanation:

You have to pay 100% of your bill (or else you wouldn't have paid your bill in full) and as you said, "plus a 9.5% tax". 100+9.5=109.5%

7 0
3 years ago
What two numbers are located 1/2 of a unit from 1/6 on a number line?
ella [17]

Answer:

2/3 and -1/3

Step-by-step explanation:

We have to find which two numbers on the number line are at a distance of 1/2 from 1/6.

The two numbers that are 1/2 units away from 1/6 will be:

1) \frac{1}{6}+\frac{1}{2}\\\\ =\frac{1}{6}+\frac{3}{6}\\\\ =\frac{4}{6}\\\\=\frac{2}{3}

2) \frac{1}{6}-\frac{1}{2}\\\\ =\frac{1}{6}-\frac{3}{6}\\\\ =\frac{-2}{6}\\\\ =\frac{-1}{3}

Thus the two numbers are: 2/3 and -1/3

8 0
3 years ago
Read 2 more answers
A movie theater charges 8 dollars for adults and 4 dollars for seniors. On a particular day when 353 people paid an admission, t
sammy [17]

A movie theater charges 8 dollars for adults and 4 dollars for seniors. On a particular day when 353 people paid an admission, the total receipts were 1688 dollars. How many who paid were adults? . How many who paid were seniors?

<em><u>Answer:</u></em>

There were 69 adults and 284 seniors

<em><u>Solution:</u></em>

Let "a" be the number of adults

Let "s" be the number of seniors

Cost of 1 adult = $ 8

Cost of 1 senior = $ 4

<em><u>On a particular day when 353 people paid an admission</u></em>

Therefore,

number of adults + number of seniors = 353

a + s = 353

a = 353 - s ---------- eqn 1

<em><u>The total receipts were 1688 dollars</u></em>

Therefore, we frame a equation as:

number of adults x Cost of 1 adult + number of seniors x Cost of 1 senior = 1688

a \times 8 + s \times 4 = 1688

8a + 4s = 1688 ---------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

<em><u>Substitute eqn 1 in eqn 2</u></em>

8(353 - s) + 4s = 1688

2824 -8s + 4s = 1688

4s = 2824 - 1688

4s = 1136

<h3>s = 284</h3>

<em><u>Substitute s = 284 in eqn 1</u></em>

a = 353 - 284

<h3>a = 69</h3>

Thus there were 69 adults and 284 seniors in movie theater

7 0
2 years ago
After taxes, Olive brings home $2800 per month. She has decided that she would like to set aside 15% of her income for savings.
sashaice [31]

Answer:

420

Step-by-step explanation:

15%= 0.15

2800*0.15= 420

8 0
2 years ago
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