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just olya [345]
3 years ago
14

If speed varies inversely as the time it takes to drive and Kris takes 5 hours driving at 55 mph, what speed will Martin need to

Mathematics
1 answer:
galina1969 [7]3 years ago
3 0

Answer:

55mph

None of the option is correct

Step-by-step explanation:

Let v be the speed and t as the time taken. If speed varies inversely as the time it takes to drive, then v ∝ 1/t.

v = k/t where k is the constant of proportionality.

IF it takes Kris 5 hours when driving at 55 mph, then v = 55mph when t = 5 hours.

Substituting this values into the formula above;

55 = k/5

k = 55*5

k = 275mp/hr²

To calculate the speed it will Martin to  drive for 5 hours, we will substitute k = 275 and t = 5 into the original equation v = k/t

v = 275/5

v = 55 mph

<em>Hence, martin will also need to drive at 55mph to take 5 hours</em>

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I need help plz its a test i need to do good on it
Mumz [18]

Answer:

10, 20, 6

Step-by-step explanation:

10 times 2 is 20 which is greater than 10, 20 times 2 is 40 which is greater than 10, and 6 times 2 is 12 which is also greater than ten.

7 0
4 years ago
Hobbs Mules charges $80 for a 2-hour mule ride and $144 for a 4-hour mule ride. The table down below shows how much McGee Mules
Nataliya [291]

Answer: If a group wants to take a 3 hour ride they should choose Hobbs Mules.

Step-by-step explanation:

First figure out how much a 3 hour ride at McGee Mules would cost. Do this by setting up a proportion, then solving it.

Numerator = Time       Denominator = Cost

\frac{1}{42} = \frac{3}{x}  42 x 3 = 126/1 = 126  So a 3 hour ride with Mcgee should cost $126.

Next figure out how much a 3 hour ride at Hobbs Mules would cost by doing the same thing.

\frac{2}{80} = \frac{3}{x}   80 x 3 = 240/2 = 120  So a 3 hour ride with Hobbs should cost $120.

In conclusion, The group should choose Hobbs because they price is $6 cheaper.

8 0
3 years ago
Alex's friend Pablo comes up with an exact equation to find out how many bags he needs. Use his equation
Bezzdna [24]

Answer:

8.5 bags are needed.

Step-by-step explanation:

Given : Number of bags needed B=x(2x+7)+3(2x+7)+(x+4)

            (2x + 7) = 4

To Find :  how many bags he needs?

Solution :

(2x + 7) = 4

2x=-3

x=-\frac{3}{2}

Now we are given that Number of bags needed B=x(2x+7)+3(2x+7)+(x+4)

Substitute the value of x

B=(\frac{-3}{2})(2(\frac{-3}{2})+7)+3(2(\frac{-3}{2})+7)+((\frac{-3}{2})+4)

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3 0
4 years ago
Divide 12.33 by 9 and write the quotient. (Show steps of working
mina [271]

9514 1404 393

Answer:

  1.37; see attached

Step-by-step explanation:

The steps of long division are shown in the first attachment.

My favorite way to do arithmetic of this sort is shown in the second attachment. (That is, use a calculator.)

5 0
3 years ago
Find the perimeter and area of the figure to the nearest hundredth use 3.14 for pi.
ZanzabumX [31]

Answer:

Perimeter = 36.84 ft

Area = = 64.26 ft²

Step-by-step explanation:

✔️Perimeter of the figure = the length of the surrounding border the rectangle + surrounding border of circle

Length for surrounding border of the rectangle = 3 + 3 + 3 + 3 + 3 + 3 = 18 ft

Surrounding border of a circle = circumference of a full circle (two half circle makes 1 full circle)

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= 18.84 ft

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π = 3.14

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Plug in the values

Area = 12*3 + 3.14*3²

= 36 + 28.26

= 64.26 ft²

3 0
3 years ago
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