What value of x makes this equation true?<br> -12 + 5x = -24 + x

The sum of 3 consecutive integers is 78. What is the integer closest to zero?

vova2212 [387]

Answer:

25

Step-by-step explanation:

Let n be the first integer.

Then the second integer will be (n + 1).

And the third will be (n + 2).

The sum is 78. Therefore:

$n+(n+1)+(n+2)+78$

Solve for n. Combine like terms:

$3n+3=78$

So:

$3n=75$

Therefore:

$n=25$

Therefore, the first integer is 25.

So our sequene is 25, 26, and 27.

The integer closest to zero will thus be 25.

5 0

2 years ago

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Which equation could represent the relationship shown in the scatter plot?

KonstantinChe [14]

Choice D : look at where you think the line would be if it followed the direction of the data so that about half of the points fell above the line and half below. The two most important things to note are the slope of the line and y intercept.
This is a negative relationship as the line falls as you read it from left to right. That eliminates choice C. Next, it appears the line of best fit would have a y intercept around 10 on the y axis and then fall down and to the right cutting the data. Note that choices A and B have y intercepts that don't make sense for the data. Choice D does have a y intercept of 10 and a negative slope.

8 0

3 years ago

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Dimensions of a Box A large plywood box has a volume of . Its length is ft greater than its height, and its width is ft less tha

cupoosta [38]

Answer:

Few things are missing, they are volume of the box is 180 feet cube. Length is 9 feet greater than its height, and weight is 4 feet less than its height.

Step-by-step explanation:

Given, the volume of the box, V = 180 feet cube

Let the height of the box, h = x feet

Therefore, length is, l = ( 9+x ) feet

And width is, b = ( x-4) feet

so volume of the box is

V = l x b x h

$180= (x+9) \times (x-4) \times (x)$