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TEA [102]
3 years ago
15

Josie is trancing for a race. The ratio of number of minutes she runs to the number of miles she runs is 24 to 3 she plans to ru

n 10 miles. How many minutes will it take her
Mathematics
1 answer:
timama [110]3 years ago
7 0

Answer:

80 minutes.

Step-by-step explanation:

Given: Ratio of number of minutes Josie took to run number of miles= \frac{24\ minutes}{3\ miles}

Josie want to run 10 miles

Let´s assume the number of minutes Josie took to run 10 miles be "x".

Now, finding the number of minutes Josie to run 10 miles.

forming an equation of ratio given as considering speed remain same.

⇒ \frac{24\ minutes}{3\ miles} = \frac{x\ minutes}{10\ miles}

Multiplying both side by 10.

⇒\frac{24\times 10}{3} = x

⇒ x= 8\times 10

∴ x= 80\ minutes

Hence, Josie took 80 minutes to run 10 miles.

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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
3 years ago
30 points on this question simply find the volumes of tank a and then find the volume of tank b.
maksim [4K]

Answer:

volume of tank a=65.63

volume of tank b=61.88

Step-by-step explanation:

3.5*3.75*5=65.63

3*3.75*5.5=61.88

brainliest plz

7 0
3 years ago
Read 2 more answers
A recipe calls for 3 cups of milk to make 30 biscuits. How many cups of milk will you need to make 45 biscuits?
anastassius [24]

The answer is: 4.5 cups.

The explanation is shown below:

1. You  need 3 cups of milk to make 30 biscuits.

2. Therefore, to solve the exercise you only need to multiply 45 biscuits by 3 cups and divide this by 30 biscuits.

3. Let's call the cups you will need to make 45 biscuits x. Then, you have:

x=\frac{(45)(3)}{30}\\x=4.5

4. Therefore, you will need 4.5 cups  to make 45 biscuits.

4 0
3 years ago
Find the volume of this square based pyramid. 5 cm 5 cm 5 cm. Round to the nearest tenth.
vodka [1.7K]

Answer:

41.666 cm³ or 41.7 cm³  rounded to the nearest tenth.

Step-by-step explanation:

Volume of a square pyramid = base length² × height ÷ 3

25 × 5/3 = 41. 666

Have a great day:)

4 0
3 years ago
A hot tub has capacity of 1458 liters 487 liters and 750 ml were put in how much more needs to be put in
Colt1911 [192]
Well the easiest way we can do it is convert liters in to milliliters and since there are 1000 milliliters in a liter multiply 1458 by 1000 and 487 by 1000 which will get you 1458000 milliliters of capacity and the 487 liters turns into 487000 mililiters we add this to the 750 milliliters  to get 487750 milliliters. Now it is all a matter of subtracting to find out how much more needs to be put in. 1458000-487750=970250  milliliters. So the amount needed to fill the hot tub is 970250 ml or if you want to convert it back to liters 970.250 l
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