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Archy [21]
3 years ago
13

Tripling the greater of two consecutive even integers given the same result as subtracting 10fromm the lesser even integer. What

are the integers?
Mathematics
1 answer:
Dmitry [639]3 years ago
3 0

The integers are -8 and -6.

To find these, first assume that the first integer is x. Then, because it is an even integer, assume the next is x + 2. Now we can write an equation to solve.

Tripling the greater = subtracting 10 from the lesser

3(x + 2) = x - 10 ----> Distribute the 3

3x + 6 = x - 10 ----> Subtract x from both sides

2x + 6 = -10 ----> Subtract 6 from both sides

2x = -16 ----> Divide both sides by 2

x = -8

Which is the first integer. We then can determine that the second one, which is two higher than the first, would be -6.

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3 years ago
Four more than seven times a number is 12.” Write an equation that represents the statement. Then solve.
Leona [35]

7x + 4 = 12

7x = 12-4

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3 0
3 years ago
Solve by factoring:<br>4x² - 8x=0​
AnnyKZ [126]

Answer:

Step-by-step explanation:

4x² - 8x= 0​

4x(x -2) = 0

: 4x = 0 or x - 2 = 0

4x = 0

Dividing by 4

x = 0/4

x = 0

And

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5 0
3 years ago
Or a very large set of data the measured mean is found to be 288.6 with a standard deviation of 21.2. assuming the data to be no
SashulF [63]

The 68-95-99.7 rule tells us 68% of the probability is between -1 standard deviation and +1 standard deviation from the mean. So we expect 75% corresponds to slightly more than 1 standard deviation.

Usually the unit normal tables don't report the area between -σ and σ but instead a cumulative probability, the area between -∞ and σ. 75% corresponds to 37.5% in each half so a cumulative probability of 50%+37.5%=87.5%. We look that up in the normal table and get σ=1.15.

So we expect 75% of normally distributed data to fall within μ-1.15σ and μ+1.15σ

That's 288.6 - 1.15(21.2) to 288.6 + 1.15(21.2)

Answer: 264.22 to 312.98


8 0
3 years ago
Solve the following equation for x<br><br> 5(x - 1) = -45
abruzzese [7]

Answer:

solution: x = -8

Step by step:

1) 5x-5+5 = -45+5 : Add 5 to both sides

2) 5x= -40 : Simplify

3) 5x/5 = -40/5 : Divide both sides

Hope that helps

5 0
2 years ago
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