Mathematics High School

A family has two cars. The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of 40 miles per gallon of gas. During one particular week, the two cars went a combined total of 1100 miles, for a total gas consumption of 35 gallons. How many gallons were consumed by each of the two cars that week?

Answers

Answer 1

Answer:

Car 1 consumed 15 gallons, and Car 2 consumed 20 gallons.

Step-by-step explanation:

fuel efficiency = distance in miles/gallons of gas

fuel efficiency * gallons of gas = distance in miles

Car 1: 20 mpg

Car 2: 40 mpg

Total miles: 1100

Miles of Car 1: x

Miles of Car 2: 1100 - x

Total gallons: 35

Gallons for Car 1: y

Gallons for Car 2: 35 - y

Car 1:

fuel efficiency * gallons of gas = distance in miles

20 * y = x

Car 2:

fuel efficiency * gallons of gas = distance in miles

40 * (35 - y) = 1100 - x

20y = x

1400 - 40y = 1100 - x

20y = x

x = 40y - 300

40y - 300 = 20y

20y = 300

y = 15

35 - y = 35 - 15 = 20

Car 1 consumed 15 gallons, and Car 2 consumed 20 gallons.

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Step-by-step explanation:

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Step-by-step explanation:

Un parallélépipède rectangle posé sur une de ses faces carrées a un volume de 252cm cube, il a une hauteur de 7. Quelle est la longueur du coté de la base carré

Answers

Répondre:

6 cm

Explication étape par étape:

Volume du parallélépipède rectangle V = l²h

l est la longueur du carré basé

h est la hauteur

Étant donné

V = 252 cm³

h = 7 cm

Remplacer

252 = l² (7)

252 = 7l²

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l² = 36

l = √36

l = 6 cm

D'où la longueur du côté de la base carrée est de 6 cm

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Answers

Answer:

58 and 1/2

Step-by-step explanation:

Answer:

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Answer:

Step-by-step explanation:

It’s 2

Answer:

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[tex]espero \: haberte \: ayudado[/tex]

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Answer:

Step-by-step explanation:

I'll give a couple answers so you get the gist of things.

All you have to do is substitute 1/2 for x and 3/4 for y.

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The radius of a sphere measures 2 units What is its surface area?
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1 square units

Answers

Answer:

A=50.265

Step-by-step explanation:

A

[tex]4\pi {r}^{2} [/tex]

[tex]4\pi {2}^{2} = 50.265482446[/tex]

Answer:

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Step-by-step explanation:

Julius bought F boxes of 24 plastic forks. He already had 39 plastic forks. Now, he has 135 plastic forks. How many boxes of plastic forks did Julius buy in all?

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For the equation 3(7 + x) = 3x + k, what value of k will create an equation with no solutions?

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What are the solutions to log6(x^2 + 8) = 1 +log6(x)?

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Answers

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x² + 8 = 6x

Answer:

D. x=2 and x=4

Step-by-step explanation:

Hope this helps!! Have a great day!! ❤

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Answer:

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Step-by-step explanation:

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Answer: x=-16/3

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Given equation is,

-4x + 5y - 12 = 8

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Option A.

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False

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Option B

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False

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Option D

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Answers

Step-by-step explanation:

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Answers

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Answers

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Answers

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Step-by-step explanation:

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3. Here are diagrams that represent 0.137 and 0.284.
tenths
hundredths
thousandths
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+

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Answers

Answer:

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__________________________

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