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Vedmedyk [2.9K]
3 years ago
9

1x+4--------- =6x+1 for x 7​

Mathematics
1 answer:
mezya [45]3 years ago
8 0

Step-by-step explanation:

1x+4= (6x+1 )×7

1x+4= 42x+7

1x-42x= 7-4

-41x = 3

x= -3/41

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The sum of three consecutive even integers is 126. Let x represent the least consecutive integer.
nika2105 [10]
Just as an example, three consecutive integers might be 4,5,6.

If x is the least of these (4 in our example), then the other two integers would be x+1, and x+2.

Then the sum of our three integers is x + (x+1) + (x+2). 

Addition is commutative so we can switch any two terms, and it is also associative so we can regroup any terms. This lets is rearrange things with all the "x" together and all the numbers together like this:

(x+x+x) + (1+2) OR 3x + 3

According to the problem, the sum is 126, so 3x+3 = 126.
3x = 123
x = 41 (which is the smallest consecutive integer)

Check our answer: 41 + 42 + 43 = 126.
4 0
4 years ago
Kyle’s bank statement shows a balance of –$18.50. Which describes the magnitude, or size, of the debt in dollars?
oksano4ka [1.4K]

Answer:

C. $18.50.

Step-by-step explanation:

We have been given that Kyle’s bank statement shows a balance of –$18.50. We are asked to determine the magnitude, or size, of the debt in dollars.

We know that the magnitude of a negative number is absolute value of negative number.

\text{Magnitude of debt in dollars}=|-\$18.50|

Since absolute value of a negative number is opposite of the number.

\text{Magnitude of debt in dollars}=-(-\$18.50)=\$18.50

Therefore, option C is the correct choice.

5 0
3 years ago
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Write 11/75 as a decimal
Maru [420]

Answer:

0.147

Step-by-step explanation:

This is rounded to the nearest thousandths place. 11 divided by 75 is 0.147.

3 0
3 years ago
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400 m in 32 s - runners speed
Harman [31]

Answer:

12.5 m in 1 second.

Step-by-step explanation:

400/32=12.5

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3 years ago
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Solve the inequality.<br><br> 5/6t - 3≥3t + 6
Papessa [141]

Answer:

t ≤ -\frac{54}{13}

Step-by-step explanation:

\frac{5}{6}t−3−3t≥3t+6−3t

-\frac{13}{6}t−3≥6

-\frac{13}{6}t−3+3≥6+3

\frac{13}{6}t≥9

-\frac{6}{13}(-\frac{13}{6}t) ≥ -\frac{6}{13}(9)

t ≤ -\frac{54}{13}

6 0
3 years ago
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