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3 years ago

An athlete runs two miles in 13.5 minutes. How many minutes is this per mile?

Mathematics

1 answer:

tensa zangetsu [6.8K]3 years ago

6 0

Answer:

6.75 minutes / mile.

Step-by-step explanation:

Time: 13.5 minutes

distance: 2 miles

rate: ?

You want the units to be minutes / mile. That's not the usual units for a rate. You have to be careful how you set this up.

13.5 minutes

2 miles

13.5 /2 = 6.75 minutes / mile = 6 minutes 45 seconds / mile

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A blueprint has a scale of one eighth inequals1 ft. On the blueprint, a wall is drawn 2 and three eighths in long. What is the

katrin2010 [14]

19 feet

convert 2 $\frac{3}{8}$ into an improper fraction

2 $\frac{3}{8}$ = $\frac{19}{8}$

hence the length of the wall is 19 feet

8 0

3 years ago

Your teacher recently found an old Nintendo in a thrift store. Use the formula to predict the value of the Nintendo in 2020. (Re

9966 [12]

The value of the Nintendo after 35 years is $2455

Since the formula f(x) = 3x² - 40x + 180 predicts the value of the Nintendo x years after 1986.

Since we require the value in 2021, x years after 1986 is 2021 - 1986 = 35 years.

Substituting x = 35 into the equation, we have

f(x) = 3x² - 40x + 180

f(x) = 3(35)² - 40(35) + 180

f(x) = 3(1225) - 40(35) + 180

f(x) = 3675 - 1400 + 180

f(x) = 2275 + 180

f(x) = 2455

So, the value of the Nintendo after 35 years is $2455

Do you think this is a realistic prediction of the value of that Nintendo?

This is not a realistic prediction for the value of the Nintendo, because, it is too high.

Learn more about quadratic equations here:

brainly.com/question/13704125

4 0

3 years ago

A frequency distribution for the class level of students in an introductory statistics course is shown. Two students are randoml

Andrews [41]

Answer: $\dfrac{21}{410}$ .

Step-by-step explanation:

Formula : Probability = $\dfrac{\text{favorable outcomes}}{\text{Total outcomes}}$

From the given frequency distribution for the class level of students in an introductory statistics course, we have

Number of Junior= 12

Number of Senior = 7

Total students = 6+16+12+7 = 41

Probability that the first student obtained is a junior = $\dfrac{12}{41}$

Probability that the the second student obtained is a senior. $=\dfrac{7}{41-1}=\dfrac{7}{40}$

Then, the probability that the first student obtained is a junior and the second a senior would be $\dfrac{12}{41}\times\dfrac{7}{40}=\dfrac{21}{410}$

Hence, the required probability is $\dfrac{21}{410}$ .

8 0

3 years ago

Write an equation in slope intercept form of a line that passes through (-2, 1) and (4,2).

fenix001 [56]

Answer:

$\displaystyle y = \frac{1}{6}x + 1\frac{1}{3}$

Step-by-step explanation:

First, find the <em>rate of change</em> [<em>slope</em>]:

$\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-1 + 2}{2 + 4} = \frac{1}{6}$

Now plug these coordinates into the Slope-Intercept Formula. It does not matter which ordered pair you choose:

2 = ⅙[4] + b

⅔

$\displaystyle 1\frac{1}{3} = b \\ \\ y = \frac{1}{6}x + 1\frac{1}{3}$

_______________________________________________

1 = ⅙[−2] + b

−⅓

$\displaystyle 1\frac{1}{3} = b \\ \\ y = \frac{1}{6}x + 1\frac{1}{3}$

** You see? I told you it did not matter which ordered pair you choose because you will ALWAYS get the exact same result.

I am joyous to assist you anytime.

5 0

3 years ago

How do you solve 2z - 31 = -9z + 24?

Schach [20]

2z−31=−9z+24

Add 9z to both sides.

2z−31+9z=−9z+24+9z

11z−31=24

Add 31 to both sides.

11z−31+31=24+31

11z=55

Divide both sides by 11.

11z/11=55/11

z=5

6 0

3 years ago

Read 2 more answers