Ask question

Ask question

All categories

3 years ago

8

A marathon race participant walks at a rate of 2.5 miles per hour and runs at a rate of 5 miles per hour. The combined distance

that the marathon race participant walks and runs is 12.5 miles. Write a linear equation in standard form that models this situation.

1 answer:

valentinak56 [21]3 years ago

3 0

Answer:

2.5x + 5y = 12.5

Step-by-step explanation:

You might be interested in

If Benito earns $187.50 for 12.5 hours of work, how many hours must he work to earn $465.00?

jasenka [17]

$\bf \begin{array}{cclll}
amount&hours\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
187.50&12.5\\
465&x
\end{array}\implies \cfrac{187.50}{465}=\cfrac{12.5}{x}$

solve for "x"

6 0

3 years ago

Will mark brainliest for whoever answers

Sloan [31]

Answer:

8.5 hours

Step-by-step explanation:

30 mins per page ( 15 )

so, 30 × 15 = 450

each hour is 60 minutes so 450 ÷ 60 = 7.5

then add the 1 hour that she already took to write the outline, so 8.5 hrs

5 0

3 years ago

Read 2 more answers

Area of this composite figure

ankoles [38]

Answer:

The area of a triangle is equal to its base times its height divided by 2: \begin{align*}A=\frac{bh}{2}\end{align*}. In order to find the composite area of two or more shapes, simply find the area of each shape and add them together.

Step-by-step explanation:

6 0

3 years ago

36 out of 100 randomly selected taxpayers knew about tax incentives for installing energy-saving furnaces. Find a 90% confidence

tresset_1 [31]

Answer:

The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 100, \pi = \frac{36}{60} = 0.6$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 - 1.645\sqrt{\frac{0.36*0.64}{100}} = 0.28$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 + 1.645\sqrt{\frac{0.36*0.64}{100}} = 0.44$

The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).

7 0

3 years ago

Need help stat! 100 POINTS

kirill115 [55]

Answer:

the answer is 67 square inches.

8 0

2 years ago

Read 2 more answers