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3 years ago

A fence is 7 feet 6 inches high.

Mathematics

1 answer:

damaskus [11]3 years ago

4 0

Answer:

228.6 centimeters

Step-by-step explanation:

We remember that 1 inch is 2.54 centimeters.

We also know that 7 feet 6 inches is equal to 7*12+6 inches, which equals 90 inches.

So, 7 feet 6 inches is 90 inches is $\boxed{228.6}$ centimeters.

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A jar contains n nickels and d dimes. There is a total of 234 coins in the jar. The value of the coins is $16.10. How many nicke

Lostsunrise [7]

Your two equations for this question would be:

n + d = 234
5n +10d = 16.10

So with that you must take your two equations and make them equal to eachother.

Hope this helped :)

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3 years ago

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A researcher is interested in estimating the mean weight of a semi tracker truck to determine the potential load capacity. She t

FinnZ [79.3K]

Answer:

(19229.11 ,20770.89)

Step-by-step explanation:

We are given the following information:

Sample size, n = 17

Sample mean = 20,000 pounds

Sample standard deviation = 1,500 pounds

Confidence level = 95%

Significance level = 5% = 0.05

95% Confidence interval:

$\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}$

Putting the values, we get,

$t_{critical}\text{ at degree of freedom 16 and}~\alpha_{0.05} = \pm 2.119$

$20000 \pm 2.119(\displaystyle\frac{1500}{\sqrt{17}} ) = 20000 \pm 770.89 = (19229.11 ,20770.89)$

4 0

3 years ago

Harold stores 10656 pounds of grain for 24 cattle. Eachcow eats 12 pounds a day. How many days would the food supply last?

salantis [7]

12×24=288
10656÷288=38
38 days

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3 years ago

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A rectangular auditorium seats 1344 people. The number of seats in each rows exceeds the number of rows by 20. Find the number o

Tasya [4]

Let the number of rows be x

rows = x
seats in each row = x + 20

total seats = 1344
x (x + 20) = 1344
x^2 + 20x - 1344 = 0
(x + 48)(x - 28) = 0
x = -48 (rejected, answer cannot be negative) or x = 28

Therefore,
x = 28
x + 20 = 48

Check:
Row = 28
Numbers of seat per row = 28 + 20 = 48
28 x 48 = 1344 (Correct)

Ans:There are 48 seats per row

8 0

3 years ago

When a certain tree was first planted, it was 4 feet tall, and the height of the tree increased by a constant amount each year f

MA_775_DIABLO [31]

Answer:

Option D is the correct answer.

Step-by-step explanation:

Initial height = 4 feet

Given that the height of the tree increased by a constant amount each year for the next 6 years. At the end of the 6th year, the tree was 1/5th taller than it was at the end of the 4th year.

Let the rate of growing each year be g.

After 6 years height of tree = 4 + 6g

After 4 years height of tree = 4 + 4g

At the end of the 6th year, the tree was 1/5th taller than it was at the end of the 4th year.

That is

$4+6g=4+4g+\frac{4+4g}{5}\\\\4+6g=\frac{20+20g+4+4g}{5}\\\\20+30g=24+24g\\\\6g=4\\\\g=\frac{2}{3}ft/year$

Option D is the correct answer.

8 0

3 years ago