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lilavasa [31]
3 years ago
12

Find three consecutive positive integers such that the product of the first

Mathematics
1 answer:
KonstantinChe [14]3 years ago
6 0

Answer: 10,11,12

Step-by-step explanation:

1st integer= x-1

2nd integer= x

3rd integer= x+1

(x-1)(x) = 11(x+1)-22

x^2-x = 11x+11-22

simplify to: x^2-12x+11=0

factor to: (x-11)(x-1)

x=11, 1

1 doesn’t work because that would make the 1st integer equal to 0, and 0 isn’t a positive integer. So the three integers are 10, 11, and 12.

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You applied for your dream job and just found out you got it. Your contract states that you will be making $36,000 a year. To bu
Musya8 [376]

Answer:

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Step-by-step explanation:

A spreadsheet is a useful tool for keeping track of the numbers. A picture of one is attached.

We have assumed that the dollar amount for housing computed in the first part remains the same (though the percentage changes). If that is not the case, you'll have to recompute.

Likewise, we assume that the "5%" retirement amount remains 5% of the nominal salary, rather than 5% of the salary after the mandatory retirement deduction. Similarly, we assume dance lessons remain at their original amount, and were not reduced when the company began taking mandatory retirement.

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8 0
3 years ago
The graph shown compares the number of pages of the same book read by Emily and Serena over time.
iragen [17]

Using linear equations, the number of minutes that both would read for them to read equal number of pages is: 30 minutes.

<h3>What is the Equation of a Linear Graph?</h3>

Equation of a linear graph is given as, y = mx + b, where m and b are the slope and y-intercept of the graph respectively.

Equation for Emily's graph:

Slope (m) = rise/run = 1/3

y-intercept (b) = 2

Substitute m = 1/3 and b = 2 into y = mx + b

y = 1/3x + 2

Equation for Serena's graph:

Slope (m) = rise/run = 2/5

y-intercept (b) = 0

Substitute m = 2/5 and b = 0 into y = mx + b

y = 2/5x + 0

y = 2/5x

To find how many minutes for both of them to read the same number of pages, make both equations equal to each other.

2/5x = 1/3x + 2

2/5x - 1/3x = 2

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x = (2)(15)

x = 30

The answer is 30 minutes for both to read the same number of pages.

Learn more about linear equations on:

brainly.com/question/14323743

7 0
2 years ago
Find the value of x and y.
Scorpion4ik [409]

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using sin(45)21 = 29.698

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to find the value of y, the equation is

2y -1 = 21. Add 1 to both sides

2y = 22. Divide both sides by 2

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3 years ago
Pls help I will mark brainliest ​
ser-zykov [4K]

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3 years ago
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Answer:8 shaded in size 1/4 the area 1/2

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