Rebecca jogged 1.5 miles in 12 minutes.At that rate, how many minutes will it take her to jog 3.5 miles?

Answers

Answer 1
Answer: 1.5 = 12

1 = 12/1.5 (8)

3.5 = 8*3.5 = 28 minutes 
Answer 2
Answer: 1.5 mil - 12min
3.5 mil - x

x= (3.5mil*12min)/(1.5mil) =28min


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The diameter of a quarter is about 2.4 cm what is the circumference of a quarter

Answers

The circumference of a quarter is approximately 7.536 cm.

What is Circle?

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

The circumference of a circle is given by the formula:

C = πd

where C is the circumference, d is the diameter, and π (pi) is a mathematical constant approximately equal to 3.14.

Substituting the given diameter of a quarter, which is 2.4 cm, into the formula:

C = πd

C = π(2.4 cm)

C = 7.536 cm

Therefore, the circumference of a quarter is approximately 7.536 cm.

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circumference = 3.14 (diameter)
3.14 x 2.4 = 7.536

What is the area of a regular hexagon with an apothem 16.5 inches long and a side 19 inches long? Round the answer to the nearest tenth. A. 625.3 in.2 B. 940.5 in.2 C. 156.3 in.2 D. 1,875.8 in.2

Answers

The area of a regular hexagon with an apothem of 16.5 inches and a side of 19 inches is Area of hexagon = 1/2(length of apothem)(perimeter of the hexagon) = 940.5 inches. (Option-B)

Apothem:

Apothem is a perpendicular line from the center of the regular polygon to one of its sides.

Area of Regular polygon with apothem:

Area = 1/2 x (length of apothem) x (perimeter of hexagon)

   • Given,  

     apothem = 16.5 inches and length of a side =19 inches

   • Perimeter = 6 x (side of a hexagon)

                       = 6 x (19)

                       = 114 inches

   • Hence,

      Area = 1/2 x (16.5) x (114) = 940.5 inches(rounded to the nearest tenth)

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Answer: B. 940.5 square inches

==============================================

Explanation:

Any regular hexagon is really the combination of six identical (aka congruent) equilateral triangles glued together. If we can find the area of one triangle, then we multiply by 6 to get our final answer.

The apothem is the height of the equilateral triangle with the triangular base being the side length of the hexagon.

area of triangle = (1/2)*base*height

area of triangle = 0.5*(hexagon side length)*(apothem)

area of triangle = 0.5*19*16.5

area of triangle = 156.75

This is the area of one equilateral triangle. Having 6 triangles leads to a total area of 6*156.75 = 940.5 square inches

The sprinkler in Rob's sprinkler system waters a circular area. The sprinkler is in an open part of Rob's lawn and waters up to 18 feet away. What is the area the sprinkler can water? Show your work. Use 3.14 for /pi and round to the nearest square foot.

Answers

What is the area the sprinkler can water?

Area = π r²

r = 18 feet

r² = r * r = 324

A = 3.14 * 324

A = 1017.36

A = 1017 square feet

a = 10.17 hope this helps

18/15 into a mixed number

Answers

(18)/(15) = (18:3)/(15:3) = (6)/(5) =1 (1)/(5)

If fir trees: yew trees is 3:4 there are 18 fir trees how many yew trees

Answers

Here are the given ratio based on the problem: => Fir trees : yew trees = 3 : 4 , there Fir trees is equivalent to 3 and yew trees is 4.Now, given that the value of Fir trees is 18, based on the ratio, how many yew trees will there be? => 3 : 4 = 18 : x, where x is the unknown value of yew trees. To solve, first let's multiply the inner value of the given proportion. => 4 * 18 = 72Then, divide 72 with the outer value => 72 / 3 = 24.Therefore, the ratio now is 18 : 24

Aaron has a budget of $100 per month to spend on lunch. He made a table showing the total amount of lunch money he will have left after the given number of lunches.Number of lunches 0 5 10 15
Total amount of lunch money left ($) 100 75 50 25
Which equation, in standard form, represents the relationship between the number of lunches, x, and the amount of lunch money Aaron will have left, y?

x + 5y = 100

100x + y = 5

x + 100y = 5

5x + y = 100

Answers

5x + y = 100
5(5 lunches) is 25 arbitrary units
amount left after 5 is 75
25 + 75 = 100
each lunch is 5 dollars

Answer:

its D

Step-by-step explanation: