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densk [106]
3 years ago
11

A car traveled at a constant speed for 4 hours and covered 144.6 miles. It used 12 gallons of gas to travel this distance. How f

ar did the car go in 1 hour? How far did the car travel on 1 gallon of gas?
Mathematics
2 answers:
FromTheMoon [43]3 years ago
8 0
In one hour he traced the distance of: 36.15 miles

With one gallon of gas he went: 12.05 miles 

;) There you go! Good Luck!
Whitepunk [10]3 years ago
6 0
1 hour= 36.15 miles 
You get this when you divide the # of miles by the # of hours

1 gallon of gas= 12.05 miles
You get this because when you want to get to 1 gallon you just divide the miles it went by the amount of gas it took to get there
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Explain why |−3| + |9| represents the distance between the points (−3, −5) and (9, −5). brainly
forsale [732]
Since -5 and -5 are the same number, they are on the same y axis so the only distance we need to calculate is between the X coordinates.

When looking for distance, you can not have a negative. what |-3|+|9| is looking for is the distance from 0 on the X axis. since distance can't be negative, (you go 3 miles away from your house in one direction, vs 3 miles in the opposite. both ways is positive, even with opposite directions. same with axis, it doesnt matter which way, only the number.) you need the absolute value of -3 to get the distance from the 0 on the x axis. 

short version: distance is positive, and its adding the distances from the x axis to get distance from each other
8 0
3 years ago
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The area of this rectangle is 4x^2 what does coefficient 4 mean in terms of the problem
mestny [16]

Answer:

The length is 4 times the width

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How do you do 5+5?
steposvetlana [31]

Answer:

If you had 5 apples and Johnny gave you five more how much do you have? Lets count

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3 years ago
A typical cup of coffee contains about 100 mg of caffeine and every hour approximately 16% ofthe amount of caffeine inthe body i
Over [174]

Answer:

a) \frac{dC}{dt} = rC

And for this case we can rewrite the model like this:

\frac{dC}{C} = r dt

If we integrate both sides we got:

ln C = rt + k

If we use exponentials for both sides we got:

C = e^{rt} e^k = C_o e^{rt}

For this case C_o = 100 mg and r = -0.16

So then our model would be given by:

C(t) = 100 e^{-0.16 t}

Where t represent the number of hours

b) C(5) = 100 e^{-0.16*5}= 44.9329

Step-by-step explanation:

Part a

For this case we can assume the proportional model given by:

\frac{dC}{dt} = rC

And for this case we can rewrite the model like this:

\frac{dC}{C} = r dt

If we integrate both sides we got:

ln C = rt + k

If we use exponentials for both sides we got:

C = e^{rt} e^k = C_o e^{rt}

For this case C_o = 100 mg and r = -0.16

So then our model would be given by:

C(t) = 100 e^{-0.16 t}

Where t represent the number of hours

Part b

For this case we can replace the value t=5 into the model and we got:

C(5) = 100 e^{-0.16*5}= 44.9329

7 0
3 years ago
(2x+5)+3(x-6)=90 what is x
snow_lady [41]
I don’t know if I’m 100% correct but I got

Exact form x= 103/5
Decimal form x=20.6
8 0
2 years ago
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