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SpyIntel [72]
3 years ago
15

A person runs 1 4 of a mile in 1 32 of an hour. Compute the unit rate by setting up a complex fraction and simplifying.

Mathematics
2 answers:
ycow [4]3 years ago
6 0
1/4 mile in 1/32 hr
unit rate would be x miles in 1 hour.
A complex fraction is a fraction that has a fraction in the numerator OR denominator OR both.


(1/4) / (1/32) =(1/4) * (32/1) = 8 miles in 1 hour
AnnyKZ [126]3 years ago
4 0

Answer:

8 miles per hour

Step-by-step explanation:

Given that a person runs a distance of  1/ 4 of a mile in 1/ 32 of an hour.

We have to compute the unit rate by setting up a complex fraction and simplifying

Let us find distance travelled in one hour.

\frac{1}{32} hour  .... \frac{1}{4} miles\\1 hour                  ... \frac{1}{4} /\frac{1}{32}\\=\frac{32}{4} =8mph

i.e. unit rate is he travels in one hour 8 miles.

Unit rate is normally for a single unit and other unit is left correspondingly

Here hour or time is made as unit i.e. one hour and distance travelled in one hour is calculated as 8 miles per hour.

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-31/26

Step-by-step explanation:

To find the slope

m= ( y2-y1)/(x2-x1)

   = ( 15 - -16)/(-7 - 19)

   = ( 15+16)/(-7-19)

    = 31/ -26

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Ray OB divides ∠COA into two angles of what measure? 40° 30° 35° 20°
Andre45 [30]

Answer: 20

Step-by-step explanation:

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2 years ago
Henry knows that the circumference of a circle is 56.52 inches. What is the area of the circle? (Use 3.14 for  and round to the
ahrayia [7]

The area of circle is 254.34 square inches, if the  circumference of a circle is 56.52 inches.

Step-by-step explanation:

The given is,

                       Circumference of a circle is 56.52 inches.

                       \pi =3.14

Step:1

             Formula for circumference of circle is,

                                   Circumference, C = 2\pi r........................(1)

              Where, r - Radius of circle

              From the given,

                           C = 56.52 inches

              Equation (1) becomes,

                                          56.52 = 2 \pi (r)

                                          56.52 = (2) (3.14) (r)

                                          56.52 = 6.28 (r)

                                                 r = \frac{56.52}{6.28}

                                                  r = 9 inches

Step:2

             Formula for area of circle,

                                       Area,A = \pi r^{2}............................(2)

             Where, r  - Radius of circle

             From the given,

                               r = 9 inches

             Equation (2) becomes,

                               A = \pi  (9)^{2}

                                   = (3.14) (81)

                                   = 254.34

      Area of circle, A = 254.34 square inches

Result:

          The area of circle is 254.34 square inches, if the  circumference of a circle is 56.52 inches.

3 0
2 years ago
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