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Verdich [7]
3 years ago
8

John went on a bike ride to the store 4 miles away. If it took John 3/10 of an hour to get there and 1/2 of an hour to get back,

what was his average rate of speed (miles per hour) for the entire trip?
Mathematics
1 answer:
stiv31 [10]3 years ago
8 0

The round trip was 8 miles ( 4 + 4 = 8)

The total time for the trip is 3/10 + 1/2

Rewrite 1/2 as 5/10

Now add 3/10 + 5/10 = 8/10 = 4/5 hour for the 8 mile trip.

Now to find miles per hour, divide total miles by total time:

8 miles / 4/5 hour

When you divide by a fraction flip the fraction over and multiply:

8 x 5/4 = 40/4 = 10

The average rate was 10 miles per hour.

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Sara has two puppies, Sonny & Cher. Every month she purchases enough food to feed her puppies for the month. Sonny eats 8.25
Ipatiy [6.2K]

The amount of Cute Puppy food needed for the  year is 1140 cans.

<h3>Determining the total number of cans that the dogs eat in a year</h3>

The first step in determining the total number of cans needed in year is to calculate the sum of dog food consumed in a week.

8.25 + 15.5 = 23.75 cans

The second step is to determine the total cans the dogs consume in a month

23.75 x 4 = 95

The third second step is to determine the total cans the dogs consume in a year:

95 x 12 = 1140 cans

<h3>Cost of cute puppy food needed in a year</h3>

1140 x ($21 /40) = $598.50

To learn more about addition, please check: brainly.com/question/19628082

3 0
2 years ago
Determine the ordered pair that lies on the unit circle corresponding to startfraction 5 pi over 4 endfraction .
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(negative square root two)/2, (negative square root two)/2
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3 years ago
A drawer contains 8 red shirts, 6 blue shirts, and 7 white shirts. If a shirt is drawn at random, what is the probability that t
zzz [600]
7 over 21 . because you add 7 plus 8 plus 6 and get 21 then have 7 white shirts 
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3 years ago
Read 2 more answers
A set of middle school student heights are normally distributed with a mean of 150 centimeters and a standard deviation of 20 ce
julsineya [31]

Answer:

The proportion of students whose height are lower than Darnell's height is 71.57%

Step-by-step explanation:

The complete question is:

A set of middle school student heights are normally distributed with a mean of 150 centimeters and a standard deviation of 20 centimeters. Darnel is a middle school student with a height of 161.4cm.

What proportion of proportion of students height are lower than Darnell's height.

Answer:

We first calculate the z-score corresponding to Darnell's height using:

Z=\frac{X-\mu}{\sigma}

We substitute x=161.4 , \mu=150, and \sigma=20 to get:

Z=\frac{161.4-150}{20} \\Z=0.57

From the normal distribution table, we read 0.5 under 7.

The corresponding area is 0.7157

Therefore the proportion of students whose height are lower than Darnell's height is 71.57%

8 0
3 years ago
One side of triangle is 4 4 times the shortest side. The third side is 23 23 feet more than the shortest side. The perimeter is
jasenka [17]

Answer:

9, 32 and 36

Step-by-step explanation:

The perimeter of a triangle is the sum of all the sides.  Since you know the perimeter and the expressions for each of the sides, you can set up an equation to solve for the variable and find the values of the other sides:

one side: '4 times the shortest side' = 4s

shortest side: 's'

third side: '23 more than the shortest side' = s + 23

perimeter  = 77

Equation:  4s + s + (s + 23) = 77

Combine like terms:  6s + 23 = 77

Subtract 23 from both sides:  6s + 23 - 23 = 77 - 23 or 6s = 54

Divide by 6:  6s/6 = 54/6 or s = 9

one side: 4s = 4(9) = 36

shortest side: s = 9

third side: s + 23 = 9 + 23 = 32

3 0
3 years ago
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