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3 years ago

A vehicle has travelled 90 miles at 40mph

Mathematics

1 answer:

kari74 [83]3 years ago

4 0

First let us calculate for the total time of the travel using the formula:

time = distance / velocity

time = 90 miles / 40 mph

time = 2.25 hours

Next, we calculate for the total gallons of fuel that is theoretically required:

theoretical amount needed = 90 miles / 24 mpg

theoretical amount needed = 3.75 gallons

The difference of the actual and theoretical amount is the amount which leaked:

amount leaked = 8 gallons – 3.75 gallons

amount leaked = 4.25 gallons

Therefore the amount of gallons leaked per hour is:

amount leaked per hour = 4.25 gallons / 2.25 hours

amount leaked per hour = 1.89 gallons / hr

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Answer:

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40%- That's the answer.

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3 years ago

A die is rolled 20 times. given that three of the rolls came up 1, five came up 2, four came up 3, two came up 4, three came up

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Solution:

Number of times a die is rolled = 20

1 - 3=A

2 - 5=B

3 - 4=C

4 - 2=D

5 - 3=E

6 - 3=F

Total number of arrangements of outcomes , when a dice is rolled 20 times given that 1 appear 3 times, 2 appears 5 times, 3 appear 4 times, 4 appear 2 times , 5 appear three times, and 6 appear 3 times

= Arrangement of 6 numbers (A,B,C,D,E,F) in 6! ways and then arranging outcomes

= 6! × [ 3! × 5! × 4!×2!×3!×3!]

= 720 × 6×120×24×72→→[Keep in Mind →n!= n (n-1)(n-2)(n-3)........1]

= 895795200 Ways

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3 years ago

Which one is correct? Please hurry <3

forsale [732]

Answer:

a. how many tries do u have.

Step-by-step explanation:

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2 years ago

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Nate has a bag containing 3 red, 2 blue, 4 yellow, and 3 green marbles. If he randomly chooses one marble from the bag, what is

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The probability that the marble will be blue if he shakes the bag and when you puts his hand into the bag, to move it around and probably he'll get the blue marble.

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3 years ago

Using the concepts of marginal social benefit and marginal social cost, explain how the optimal combination of goods can be dete

PtichkaEL [24]

Answer:

Optimal combination of goods can be determined in an economy that produces only two goods, with production of extra units of the two goods at a minimal marginal social cost. The consumption of the additional units of the two goods being produced will be benefitted by the consumers. This is known as marginal social benefit.

Step-by-step explanation:

Marginal social cost is the change in society's total cost brought about by the production of an additional unit of a good or service. It includes both marginal private cost and marginal external cost.

Marginal social benefit is the change in benefits associated with the consumption of an additional unit of a good or service. It is measured by the amount people are willing to pay for the additional unit of a good or service.

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3 years ago