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ch4aika [34]
3 years ago
11

There are three consecutive integers such that the sum of the two smallest integers is 17 less than three times the largest.What

is the smallest integer
Mathematics
1 answer:
abruzzese [7]3 years ago
6 0
ANSWER:

Let the smallest integer = x

x + x + 1 = 3 ( x + 2 ) - 17

2x + 1 = 3x + 6 - 17

2x - 3x = 6 - 17 - 1

- x = - 12

x = 12

FINAL ANSWER:

Therefore, the smallest integer is 12.

Please mark as brainliest if you found this helpful! :)
Thank you and have a lovely day! <3
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-1 3/7 • (-3 2/3) = ?<br><br> A: 3 2/7<br> B: 5 5/21<br> C: 11<br> D: -5 5/21
Anna35 [415]

[|] Answer [|]

\boxed{5 \ \frac{5}{21}}

[|] Explanation [|]

-1 \ \frac{3}{7} * -3 \frac{2}{3}

-----------

-----------

Convert Fractions To Mixed Numbers:

-1 \ \frac{3}{7} = \frac{-10}{7}

-3 \ \frac{2}{3} = \frac{-11}{3}

Multiply Across:

\frac{-10 \ * \ -11}{7 * 3}

= \frac{110}{21}

Simplify:

= 5 \ \frac{5}{21}

\boxed{[|] \ Eclipsed \ [|]}

8 0
3 years ago
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Svetlanka [38]

The answer that you are looking for is A. 40 to 27

8 0
2 years ago
Two competing headache remedies claim to give fast-acting relief. An experiment was performed to compare the mean lengths of tim
DaniilM [7]

Answer:

t = 0.875

Step-by-step explanation:

Given

<u>Brand A</u>            <u>Brand B</u>

n_ 1= 12               n_2 = 12

\bar x_1 = 21.8            \bar x_2 = 18.9

\sigma_1 = 8.7              \sigma_2 = 7.5

Required

Determine the test statistic (t)

This is calculated as:

t = \frac{\bar x_1 - \bar x_2}{s\sqrt{\frac{1}{n_1} +  \frac{1}{n_2}}}

Calculate s using:

s = \sqrt{\frac{(n_1-1)*\sigma_1^2+(n_2-1)*\sigma_2^2}{n_1+n_2-2}}

The equation becomes:

s = \sqrt{\frac{(12-1)*8.7^2+(12-1)*7.5^2}{12+12-2}}

s = \sqrt{\frac{1451.34}{22}}

s = \sqrt{65.97}

s = 8.12

So:

t = \frac{\bar x_1 - \bar x_2}{s\sqrt{\frac{1}{n_1} +  \frac{1}{n_2}}}

t = \frac{21.8 - 18.9}{8.12 * \sqrt{\frac{1}{12} + \frac{1}{12}}}

t = \frac{21.8 - 18.9}{8.12 * \sqrt{\frac{1}{6}}}

t = \frac{21.8 - 18.9}{8.12 * 0.408}}

t = \frac{2.9}{3.31296}}

t = 0.875

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What is the amount of time​
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The amount of time of what?

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