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guajiro [1.7K]
3 years ago
6

A family has two cars. The first car has a fuel efficiency of 40 miles per gallon of gas and the second has a fuel efficiency of

20 miles per gallon of gas. During one particular week, the two cars went a combined total of 2000 miles, for a total gas consumption of 70 gallons. How many gallons were consumed by each of the two cars that week?
Mathematics
1 answer:
kozerog [31]3 years ago
6 0

Answer:

Step-by-step explanation:

Let x = gallons consumed by car 1

Let y = gallons consumed by car 2

We set up our equations:

35x+40y = 1850 eq1

x+y = 50 eq2

Substituting eq 2 into eq 1,

35x+40(50-x) = 1850

35x+2000-40x = 1850

-5x+2000 = 1850

-5x = -150

x = 30

Substitute value of x into eq 2.

x+y = 50

30+y = 50

y = 20

Car 1 consumes 30 gallons of gas.

Car 2 consumes 20 gallons of gas.

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Answer:

Books Galore has the lowest unit price

Step-by-step explanation:

if you divide main streets books, 10 ÷ $5.20 = $1.92

Books galore : 6 ÷ $3.60 = $ 1.66

5 0
3 years ago
A barrel of crude oil contains about 5.61 cubic feet of oil. How many barrels of oil contained in 1 mile (5280 feet) of a pipeli
8_murik_8 [283]
1)volume of the  pipeline

The pipeline is a cylinder, therefore;
Volume (cylinder)=πr²h
r=radius
h=height of the cylinder

diameter=6 in*(1 ft / 12 in)=0.5 ft
raius=diameter / 2=0.5 ft / 2=0.25 ft.
height=5280 ft

Volume (pipeline)=π(0.25 ft)²(5280 ft)=330π ft³≈1036.73 ft³.


2) we calculate the number of barrel
1 mile of oil in this pipeline is 330π ft³ of oil.

1 barrel of crude------------------5.61 ft³
x----------------------------------330π ft³

x=(1 barrel*330π ft³) / 5.61 ft³=184.8 barrels

3) we calculate the price.

1 barrel---------------$100
184.8 barrels----------  x

x=(184.8 barrels * $100) / 1 barrel=$18,480

Solution: ≈$18,480
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3 years ago
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6 0
3 years ago
Help I don't know what to choose
Lunna [17]

Answer:

Step-by-step explanation:

We know a triangle adds up to 180 so:

75+36+ ? = 180

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? = 69

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8 0
3 years ago
Read 2 more answers
8 A video game that usually costs $50 is on sale for $32.50
finlep [7]

The video game is on 35% discount.

Step-by-step explanation:

Cost of video game = $50

Price on sale = $32.50

Amount of discount = Original price - price on sale

Amount\ on\ discount = 50-32.50\\Amount\ on\ discount= \$17.5

Percentage = \frac{Dicount\ Price}{Original\ Price}*100

Percentage=\frac{17.5}{50}*100\\Percentage=\frac{1750}{50}\\Percenatge=35\%

The video game is on 35% discount.

Keywords: Percentage

Learn more about percentages at:

  • brainly.com/question/10364988
  • brainly.com/question/10435816

#LearnwithBrainly

6 0
3 years ago
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