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2 years ago

the sum of three consecutive integers is 78. What is the value of the smallest of the three integers?

Mathematics

1 answer:

CaHeK987 [17]2 years ago

8 0

Answer:

Step-by-step explanation:

Consecutive integers just means like one after another.

This means that:

First number = x

Second number = x + 1

Third number = x + 2

They've told us that the sum of 3 consecutive integers is 78.

First number + second number + third number = 78

Sub the equations we wrote into the formula above and we get:

x + x + 1 + x + 2 = 78

Gather the like terms.

3x + 3 = 78

Subtract 3 from both sides.

3x = 78-3 = 75

Divide both sides by 3 to solve for x.

x = 75/3 = 25

If you look at the very beginning we said that the first number = x.

Therefore it is 25.

Second number = x + 1 = 26

Third number = x + 2 = 27

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2 years ago

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Simone claims that the slope of the line through (-2, 7) and (3, 0) is the same as the slope of the line through (2, 1) and (12,

JulijaS [17]

Answer:

Simone is correct

Step-by-step explanation:

Given

Line 1:

$(x_1,y_1) = (-2, 7)$

$(x_2,y_2) = (3, 0)$

Line 2:

$(x_1,y_1) = (2, 1)$

$(x_2,y_2) =(12, -13)$

Required

Is Simone correct?

Slope (m) is calculated using:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

For Line 1

$m = \frac{0 - 7}{3 - (-2)}$

$m = \frac{0 - 7}{3 +2}$

$m = \frac{-7}{5}$

$m = -\frac{7}{5}$

For Line 2:

$m = \frac{-13 - 1}{12 -2}$

$m = \frac{-14}{10}$

Divide by 2/2

$m = \frac{-14/2}{10/2}$

$m = \frac{-7}{5}$

$m = -\frac{7}{5}$

By comparison, both lines have the same slope.

Hence, Simone is correct

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2 years ago

pls help ‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎

Eduardwww [97]

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Step-by-step explanation:

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2 years ago

A company advertises that its cans of caviar each contain 100 g of their product. A consumer advocacy group doubts this claim, a

Blizzard [7]

Answer:

The value of the test statistic is -3.14.

Step-by-step explanation:

Test statistic:

$t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

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Katena32 [7]

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Step-by-step explanation:

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x = -3

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2 years ago

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