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Papessa [141]
2 years ago
9

15. Suppose a car gas tank holds 21 gallons of gas. On a trip it uses 2/3 of a tank of gas on a trip. Then it uses 1/3 of what i

s left in the tank. How many gallons of gas are left in the tank? *
Mathematics
1 answer:
Eduardwww [97]2 years ago
5 0

Answer:

4 2/3 gallons of gas

Step-by-step explanation:

Step 1

Suppose a car gas tank holds 21 gallons of gas.

On a trip it uses 2/3 of a tank of gas on a trip.

= 2/3 × 21 gallons of gas

= 14 gallons of gas

Step 2

Then it uses 1/3 of what is left in the tank.

The number of gallons of gas left =

21 gallons of gas - 14 gallons of gas

= 7 gallons of gas

Hence, this is calculated as:

1/3 × 7 gallons of gas

= 2 1/3 gallons of gas

Step 3

How many gallons of gas are left in the tank?

This is calculated as:

7 gallons of gas - 2 1/3 gallons of gas

= 7/1 - 7/3

Lowest common denominator =

= 21 - 7/3

= 14/3

= 4 2/3 gallons of gas is left

Therefore, 4 2/3 gallons of gas is left.

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prisoha [69]

Answer:

y = -2

Step-by-step explanation:

<u>SOLUTION :-</u>

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<u>VERIFICATION :-</u>

To verify the solution of y , just put the solution (y = -2) in place of y in equation and check whether L.H.S = R.H.S.

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Aleks04 [339]

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8 0
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Read 2 more answers
In the equation (x^2+y)^5, what is the coefficient of the term x^4y^3? what is the coefficient of the same term in the expansion
lys-0071 [83]

\displaystyle&#10;(x+y)^n=\sum_{k=0}^n\binom{n}{k}x^{n-k}y^k

<em>-------------------------------------------------------------</em>


\displaystyle&#10;(x^2+y)^n=\sum_{k=0}^n\binom{n}{k}x^{2n-2k}y^k\\&#10;n=5\\&#10;k=3\\\\\binom{5}{3}=\dfrac{5!}{3!2!}=\dfrac{4\cdor5}{2}=10

<u>It's 10.</u>

----------------------------------------------------

\displaystyle&#10;(3x^2+y)^n=\sum_{k=0}^n\binom{n}{k}(3x)^{2n-2k}y^k=\sum_{k=0}^n\binom{n}{k}\cdot 3^{2n-2k}\cdot x^{2n-2k}y^k\\\\&#10;n=5\\&#10;k=4\\\\&#10;\binom{5}{3}\cdot3^{2\cdot5-2\cdot4}=10\cdot3^{2}=10\cdot9=90

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6 0
3 years ago
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Keith_Richards [23]

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Step-by-step explanation:

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3 years ago
One of the great mysteries of the world is my hotdogs and hotdog buns come in packages of different sizes hotdogs come in packs
V125BC [204]

Answer:

3 pack of hot dogs and 2 pack of buns 24

Step-by-step explanation:

hot dogs come in packs of 8

burns came in packs of 12

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so to get equal number

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therefore, 3 pack of hot dogs and 2 pack of buns 24

7 0
3 years ago
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