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horsena [70]
3 years ago
6

One number is seven less than four times the other number. The sum of the two numbers is 93. Find the numbers.

Mathematics
1 answer:
ivann1987 [24]3 years ago
6 0

You can write the two equations x = 4y - 7 and x + y = 93; substitute the value of x into the other equation

(4y - 7) + y = 93; combine like terms

5y - 7 = 93; add 7 to both sides

5y = 100; divide both sides by 5

y = 20; substitute this value into the other equation

x + 20 = 93

x = 73

So the numbers are 20 and 73

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A man's monthly salary was decreased in the ratio of 7:2, he was paid N625. How much was his original salary.
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Answer:

15

Step-by-step explanation:

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3 years ago
When Cameron moved into a new house, he planted two trees in his backyard. At the time of planting, Tree A was 24 inches tall an
Darina [25.2K]

Answer:

time interval when Tree A is taller than Tree B is;

t > 5 years

Step-by-step explanation:

Tree A;

Initial height = 24 inches

Increase in height per year = 6 inches per year

Thus, for t years after being planted, height is;

A = 6t + 24

Tree B;

Initial height = 39 inches

Increase in height per year = 3 inches per year

Thus, for t years after being planted, height is;

B = 3t + 39

For tree A to be taller than tree B, then it means thay;

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Thus;

6t + 24 > 3t + 39

Subtract 3t from both sides to get;

6t - 3t + 24 > 39

3t + 24 > 39

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Divide both sides by 3 to get;

t > 5

Thus, time interval when Tree A is taller than Tree B is; t > 5

4 0
3 years ago
A company receives shipments of a component used in the manufacture of a component for a high-end acoustic speaker system. When
Tanya [424]

Answer:

ME= 2.33*\sqrt{\frac{0.096*(1-0.096)}{250}}= 0.0434

Step-by-step explanation:

For this case we have a sample size of n = 250 units and in this sample they found that 24 units failed one or more of the tests.

We are interested in the proportion of units that fail to meet the company's specifications, and we can estimate this with:

\hat p = \frac{24}{250}= 0.096

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The confidence interval for a proportion is given by this formula  

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}  

For the 98% confidence interval the value of \alpha=1-0.98=0.02 and \alpha/2=0.01, with that value we can find the quantile required for the interval in the normal standard distribution.  

z_{\alpha/2}=2.33  

And the margin of error would be:

ME= 2.33*\sqrt{\frac{0.096*(1-0.096)}{250}}= 0.0434

4 0
4 years ago
The clock shows 4:00 and Avery leaves for the soccer game and it takes 15 min to get to the soccer field what time will Avery ar
never [62]

Answer:

A and C

Step-by-step explanation:

If the time is 4:00 and 15 minutes pass, the new time is 4:15. "Quarter past 4" is referring to a quarter of an hour (60 / 4 = 15, so 15 minutes) after 4:00, which would be 4:15. 15 minutes after 4:00 would also be 4:15.

3 0
4 years ago
Read 2 more answers
The minute hand of a clock is 3 inches long. How far does the tip of the minute hand move in 40 minutes​?
Mkey [24]

Answer:

  4π in ≈ 12.57 in

Step-by-step explanation:

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  s = rθ = (3 in)(4π/3) = 4π in ≈ 12.57 in

6 0
3 years ago
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