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o-na [289]
3 years ago
7

The sum of three numbers is 72 the second number is three times the third the third number is eight more than the first what are

the numbers
Mathematics
1 answer:
Rina8888 [55]3 years ago
6 0

Answer:

Our three numbers are 8, 48, and 16.

Step-by-step explanation:

Let the first, second, and third numbers be <em>x</em>, <em>y</em>, and <em>z</em>, respectively.

The sum of them is 72. In other words:

x + y + z = 72

The second number <em>y</em> is three times the third number <em>z</em>. So:

y = 3z

And the third number <em>z</em> is eight more than the first number <em>x</em>. So:

z = x + 8

To find the numbers, solve for the system. We can substitute the last two equations into the first:

x + (3z) + ( x + 8) = 72

Substitute again:

\displaystyle x + 3(x+8) + x+8 = 72

Solve for <em>x</em>. Distribute:

x+3x+24+x+8=72

Combine like term:

5x + 32 = 72

Subtract:

5x = 40

And divide:

x=8

Thus, the first number is eight.

And since the third number is eight more than the first, the third number <em>z</em> is 16.

The second number is three times the third. Thus, the second number <em>y</em> is 3(16) or 48.

Our three numbers are 8, 48, and 16.

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3 years ago
What does 9/10-13/18 equal as an improper fraction<br> 100 points
Liono4ka [1.6K]

Answer:

\huge \frac{8}{45}

Step-by-step explanation:

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2 years ago
The number of arrivals per minute at a bank located in the central business district of a large city was recorded over a period
Sergio [31]

Answer:

a. μ = 25

b. σ = 16.496

Step-by-step explanation:

Note: See the attached excel for the calculation of Mean and Deviation from Mean.

Let: N = Number of observation = 9

F = Frequency

Therefore, we have:

a. Compute the expected number of arrivals per minute. μ=___( please type as an integer or a decimal)

From the attached excel file, we have:

Total F = 200

Therefore, we have:

μ = Mean = Total of F / (N - 1) = 200 / (9 - 1) = 25

b. Compute the standard deviation σ=___(please round to three decimal places as needed)

From the attached excel file, we have:

Total (F -  μ)^2 = 2,177

σ = Standard deviation = (Total of (F -  μ)^2 / (N - 1))^0.5 = (2,177 / (9 - 1))^0.5 = 16.496

Download xlsx
7 0
3 years ago
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tatuchka [14]
The question isnot clear
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