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Sav [38]
2 years ago
6

Jack and Jim went biking. Jack biked for 5 1/3 hours with average speed 12 1/2 miles per hour. Jim traveled exactly 1 1/5 as far

as Jack did. How long was Jim’s trip?

Mathematics
2 answers:
GuDViN [60]2 years ago
5 0
The relation between distance, velocity and time can be expressed using the following equation:
Distance = velocity * time

We are given that:
Jack biked 5 1/3 hours (time = 5 1/3 hours) with average speed of 12 1/2 miles per hour (velocity = 12 1/2 miles/hour)
Substitute in the above equation to get the distance traveled by Jack as follows:
Distance traveled by Jack = 12 1/2 * 5 1/3 = 66.6667 miles

Now, we know that:
Jim traveled 1 1/5 as far as Jack, this means that:
Distance traveled by Jim = 66.6667 * 1 1/5 = 80 miles
JulijaS [17]2 years ago
5 0
I don't know if you are allowed to use a calculator for these problems, but I did. I am able to multiply the mixed fractions without a calculator if you need help with that please comment below.  Please let me know if you are still confused on how to get the answer! Hope this helped!

My Final Answer: Jim's trip was 146 2/3 miles long.

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zaharov [31]

Answer:

-2

Step-by-step explanation:

3 0
1 year ago
A caterer provides a conference banquet for a price of $40 per person for 20 or fewer people but will decrease the price by $1 p
mel-nik [20]

Answer:

The maximum revenue is $900, obtained with 30 people

Step-by-step explanation:

Naturally, the answer should be a number equal or higher than 20, because up to 20 persons, each one pays the same. Lets define a revenue function for x greater than or equal to 20.

f(x) = x*(40-(x-20)) = -x²+60x

Note that f multiplies the number of persons by how much would they pay (here, assuming that there are more than 20).

f is quadratic with negative main coefficient and its maximum value will be reached at the vertex.

The value of the x coordinate of the vertex is -b/2a = -60/-2 = 30

for x = 30, f(x) = 30*(40-(30-20))=30*30=900

So the maximum revenue is $900.

7 0
1 year ago
During a sale, 20-cent candy bars were sold at 3 for 50 cents. How much is saved on 9 bars?
Mazyrski [523]

Answer:

Step-by-step explanation:

$0.30

Step-by-step explanation:

1 bar of candy = $0.20

3 bars of candy = $0.50

To solve, multiply for both:

If you pay for each candy bar individually, they each cost $0.20. Multiply 9 with 0.20:

9 x 0.20 = $1.80

If you pay for the candy bars by 3's, they cost $0.50 each pack. Divide 9 with 3, then multiply by 0.50:

9/3 = 3

3 x 0.50 = $1.50

Subtract the total cost of the individual from the pack:

$1.80 - $1.50 = $0.30

. $0.30 is your answer.

8 0
2 years ago
A) Find the coordinates of the points of intersection of the graphs with coordinate axes: b y=−2x+4
vova2212 [387]

Answer:

Step-by-step explanation:

A)

y=−2x+4

y-int:

y=−2*0+4

y=4

x-int:

0=−2x+4

2x=4

x=2

(2,4)

B)

2x+3y=6

y-int:

2*0+3y=6

3y=6

y=2

x-int:

2x+3*0=6

2x=6

x=3

(3,2)

C)

1.2x+2.4y=4.8

y-int:

1.2*0+2.4y=4.8

2.4y=4.8

24y=48

y=2

x-int:

1.2x+2.4*0=4.8

1.2x=4.8

12x=48

x=4

(4,2)

4 0
1 year ago
help me the area of a rectangular roof of a doghouse is 756 square inches. the length of the roof is 108 inches. how many inches
Andrei [34K]
A=L*w \\ A=756 \ square \ inches \\L=108 \ inches  \\ \\ 108*w=756 =>w=756:108 \\ \\ w=7 \ inches
5 0
1 year ago
Read 2 more answers
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