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2 years ago

A car is traveling 150 feet per second. Convert this to miles per hour.

Mathematics

1 answer:

Nana76 [90]2 years ago

7 0

There are 3600 seconds in 1 hour.

Multiply feet per second by 3600 to get feet in 1 hour:

150 x 3600 = 540,000 feet in 1 hour.

1 mile = 5280 feet.

Divide feet per hour by 5280 to get miles per hour:

540,000 / 5280 = 102.27 miles per hour.

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The sum of two angles is 180 If the angle is three times the measure the smaller ,find the number of degrees in the larger angle

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45 because you can set up the equation:

a+3a=180

With a being the smaller angle, then you can simplify and solve

4a=180
a=45

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2 years ago

Three times a number is the same as 28 more than 6 times the number. Find the number. If n is "the number," which equation could

aksik [14]

Answer:

3n = 6n + 28

Explanation:

The number we are dealing with is "n"

We will proceed by converting the English into Math:

1- Three times the number = 3 * n = 3n

2- Six times the number = 6 * n = 6n

3- 28 more than 6 times the number means that we will add 28 to the value 6n. This will give 6n + 28

Finally, we are given that:

3n is the same as (6n + 28). This means that they are both equal.

Therefore, our equation would be:

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Hope this helps :)

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2 years ago

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luda_lava [24]

Answer:

$a = \dfrac{46}{17}$

$b = 0$

Step-by-step explanation:

$\dfrac{2\sqrt{5} + \sqrt{3}}{2\sqrt{5} - \sqrt{3}} + \dfrac{2\sqrt{5} - \sqrt{3}}{2\sqrt{5} + \sqrt{3}} =$

$= \dfrac{2\sqrt{5} + \sqrt{3}}{2\sqrt{5} - \sqrt{3}} \times \dfrac{2\sqrt{5} + \sqrt{3}}{2\sqrt{5} + \sqrt{3}} + \dfrac{2\sqrt{5} - \sqrt{3}}{2\sqrt{5} + \sqrt{3}} \times \dfrac{2\sqrt{5} - \sqrt{3}}{2\sqrt{5} - \sqrt{3}}$

$= \dfrac{23 + 4\sqrt{15}}{17} + \dfrac{23 - 4\sqrt{15}}{17}$

$= \dfrac{46}{17}$

$a = \dfrac{46}{17}$

$b = 0$

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1 year ago

A bank offers auto loans to qualified customers. The amount of the loans are normally distributed and have a known population st

vlabodo [156]

Answer: 1.467

Step-by-step explanation:

Formula of Margin of Error for (n<30):-

$E=t_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

Given : Sample size : n= 22

Level of confidence = 0.90

Significance level : $\alpha=1-0.90=0.10$

By using the t-distribution table ,

Critical value : $t_{n-1, \alpha/2}=t_{21,0.05}= 1.720743$

Standard deviation: $\sigma=4$

Then, we have

$E=(1.720743)\dfrac{4}{\sqrt{22}}=1.46745456106\approx1.467$

Hence, the margin of error for the confidence interval for the population mean with a 90% confidence level =1.467

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2 years ago

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