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Ivahew [28]
3 years ago
8

A runner completed a 26.2-mile marathon in 210 minutes. Estimate the unit rate, in miles per minute. Round your answer to the ne

arest hundredth of a mile.
Mathematics
1 answer:
Masteriza [31]3 years ago
5 0
The runner completed 27.8 miles in 210 minutes

You might be interested in
A rental car agency charges $249 per week plus $0.25 per mile to rent a car. the charge for a minivan is $180 per week plus $0.4
Alecsey [184]

Answer:

460 miles, 1 week

Step-by-step explanation:

249 per week + 0.25 per mile

180 per week + 0.4 per mile

after 460 miles in 1 week the cost will be the same

6 0
3 years ago
A rhombus has sides 7 cm long. If the longer diagonal is 10 cm, what is the area of the rhombus? Round to the nearest hundredth.
timofeeve [1]

Answer:

75 is the correct answer

6 0
3 years ago
a system of equations is graphed here. which system of equations does the graph represent? A) y = 3x + 2y = -2x + 5 B) y = 3x -
n200080 [17]

Notice that the line with negative slope has a y-intercept of 5 and the line with positive slope has a y-intercept of 2.

On the other hand, the slope of the line with negative slope is -2, while the slope of the line with positive slope is 3 (This can be identified since in one case, the value of y decreases by 2 for each increase of 1 unit in x, and in the other, the value of y increases by 3 for each increase of 1 unit in x).

Using the y-intercept form to represent each line, the system of equations represented by the graph must be equivalent to:

\begin{gathered} y=-2x+5 \\ y=3x+2 \end{gathered}

From the given options, the one that displays the correct system of equations is option A.

Therefore, the answer is:

\begin{gathered} A) \\ y=3x+2 \\ y=-2x+5 \end{gathered}

6 0
1 year ago
Suppose a sample of 716 suspected criminals is drawn. Of these people, 286 were captured. Using the data, estimate the proportio
tamaranim1 [39]

Answer:

The proportion is p = 0.399

Step-by-step explanation:

The estimate of a proportion is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes:

286 people captured, so D = 286.

Total outcomes:

Sample of 716 suspected criminals, so T = 716.

Proportion

p = \frac{286}{716} = 0.399

5 0
3 years ago
Solve the triangle m<N= 118°, m<P= 33° and m=15. Round to the nearest tenth. Please show work.​
kirill [66]

Answer:

M = 29

27.31838095 = n

16.8511209 = p

Step-by-step explanation:

M = 180 -33-118 = 29

We can use the rule of sines

sin A          sin B           sin C

------------ = ---------- = ------------

a                  b               c

sin 118          sin 29        

------------ = ----------

n                  15              

Using cross products

15 sin 118 = n sin 29

Divide by sin 29

15 sin 118 / sin 29 = n

27.31838095 = n

sin 33          sin 29        

------------ = ----------

p                  15              

Using cross products

15 sin 33 = p sin 29

Divide by sin 29

15 sin 33 / sin 29 = p

16.8511209 = p

3 0
3 years ago
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