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bija089 [108]
3 years ago
5

A fuel tank contains 1 3/4 gallons of gasoline. Casey adds 33 1/3 gallons of gasoline to the tank. How many gallons of gas does

the tank now contain?
Mathematics
1 answer:
krek1111 [17]3 years ago
6 0

Answer:

35 1/12 gallons of gasoline

Step-by-step explanation:

so what you're going to do is take both of the fractions (3/4 and 1/3) and convert them into two fractions with the same denominator so you can add them easily. the closest number that you can convert them to would be a denominator of 12, so we would turn 3/4 into its equivalent of 9/12 and 1/3 would now be 4/12. now we add them and get 13/12, which is an improper fraction, so we would change that to 1 and 1/12. and finally, we add 1 1/12 + 1 + 33 and we would get 35 and 1/12 as our final answer :)

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Allie has two cars- a truck and a sedan. Last week, she used 3 gallons of gas in the truck and 5 gallons of gas in the sedan and
gavmur [86]

Answer:

sedan = 26 miles/gallon

truck = 17 miles/gallon

Step-by-step explanation:

try to write the text in mathematical format as a system of equations

t=truck s=sedan

\left \{ {{3t+5s=181} \atop {7t+6s=275}} \right.

first equation can be written as

t= (181-5s)/3

we can use it in the second equation and rewrite it as

7[(181-5s)/3]+6s = 275

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-35/3s + 18/3s = 275-1267/3

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we use this value of s in the first equation

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5 0
3 years ago
Domain: -00 &lt; x &lt; 00<br><br>Range: pi/2 ≤ y ≤ pi/2<br><br> what is tan^ -1 (1) =​
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Answer:

π/4

Q1

Step-by-step explanation:

Other options for arctan(1) is 5π/4 + nπ, where n is a whole number, but they are all outside the Range.

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