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Serhud [2]
3 years ago
7

Francesca plans to compete in a biathlon that involves running and cycling. During one training​ session, she covered a total di

stance of 46 miles in four hours. If she ran at a rate of 5 mph and cycled at a rate of 15 ​mph, how long did she spend​ cycling?
Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
4 0

Answer:

.

Step-by-step explanation:

Use the distance formula

d = vt

where:

d = distance (miles)

v = speed (mph)

t = time (hours)

Let  x = run time

Let  y = bike time

Total time:      x + y = 4

Using these variables we can write an equation representing the formula.

dTotal = drun + dbike

49 = 9x + 22y

Next, we get the equation in terms of only x or y.  We'll get it in terms of x.

49 = 9x +22(4 - x)

49 = 9x + 88 - 22x

-39 = -13x

 3 = x

Plug in this value of x into the variables to find the distance for each part.

run distance = 9x

bike distance = 22(4 - x)

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Sammy's dog eats 3/4 cup of food at each meal. His cat eats 1/8 of what the dog eats. What fraction of a cup does his cat eat?
satela [25.4K]

Answer:

3/32 of a cup of food

Step-by-step explanation:

Sammy's dog eats 3/4 cup of food at each meal. His cat eats 1/8 of that.

This comes out to (1/8)th of (3/4 cup), or:

 1        3

----- · ----- cup  =  3/32 cup

  8      4

The cat eats 3/32 of a cup of food.

7 0
4 years ago
A pile of dirt is cone shaped and it has a height of 10 feet and a diameter of 24 feet. Find the volume. * The answer is NOT 157
Masteriza [31]
You'll need to specify the accuracy to which you want your answer.  For example:  "Find the volume of this cone to 3 decimal place accuracy."

The formula for the volume of a cone is  V = (1/3) (base) (height), where "base" represents the area of the base.

Here the diameter of the base is 24 feet, so the radius of the base is 12 feet.
Thus, the area of the base is  (12 feet)^2 times pi:     A = 144 pi ft^2.

Multiply this area by the height of the cone, which is 10 feet:

V = 1440 pi ft^3

By calculator, this volume is  4523.893421 cubic feet.

If you want this volume to the nearest cubic foot, it'd be 4524 cubic ft.
If you want this vol. to the nearest 100th cubic ft., it'd be 4523.89 cu. ft.
6 0
4 years ago
What is the value of x in the figure shown below?
aleksley [76]
35° because it’s the same as the other side
3 0
3 years ago
“The class buys 3 bags of apples. Each bag has 24 apples. The total cost of the 3 bags of apples is $12.24. The class sells the
galben [10]
0.75 x 24 x 3 = 54

54 - 12.24 = $41.76 total profit

41.76/3 = 13.92

13.92/24 = 0.58 cents per apple
4 0
3 years ago
Read 2 more answers
PLZ HELP!!<br><br> If f(x) = x2, g(x) = 5x, and h(x) = x +4, find each value.<br> Find f[h(-9)].
jek_recluse [69]

Answer:

x2+8x+16

-81-72+16

-153+16

-137

3 0
3 years ago
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