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Katarina [22]
3 years ago
5

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

<span>amount leaked per hour = 1.89 gallons / hr</span>

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Alenkasestr [34]
So k=katie's' age
m=mara's age

k is 2 times as old as m
k=2m

sum is 24
add means sum
k+m=24

so we have
k+m=24 and
k=2m
subsitute
2m+m=24
add
3m=24
divide both sides by 3
m=8
subsitute again
k=2m
k=2(8)
k=16

katie=16
mara=8
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Step-by-step explanation:

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What is the answer i'm having trouble :( click the picture
Vikentia [17]

Step-by-step explanation:

So 2 pints = 1 quart

She need 3 quart

so 2 pints × 3 = 1 quart × 3

6 pints = 3 quart

...

The she need 6 pints which is

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She need 6, so mutiply with 6

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2.What is the solution of the solution of the equation 5^3x=15? Round to the nearest ten thousandth.
sveta [45]
Hmm
remember
a^c=b can translate to log_a(b)=c
so

5^{3x}=15 can translate to log_5(15)=3x
divide both sides by 3
(1/3)log_5(15)=x
log_5(15^{1/3})=x
use calculator, if you can't use change of base formula to do it
log_a(b)= \frac{log_c(b)}{log_c(a)} so
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