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3 years ago

A car travels 350 miles on 20 gallons of gas how many gallons will be used to travel 875 miles

1 answer:

5 0

Hi there! You will need to do a unit rate, so you would do 20/ 350 which is a weird number 0.05714285714 , and then you multiply 0.057142857148 * 875= 50 gallons. So for 875 miles you will need 50 gallons of gas.

Hoped I helped :3

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Answer:

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2 years ago

Which table of values matches the equation y = 3x - 3?

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2 years ago

In 2012 your car was worth $10,000. In 2014 your car was worth $8,850. Suppose the value of your car decreased at a constant rat

monitta

Answer:

The function to determine the value of your car (in dollars) in terms of the number of years t since 2012 is:

$f(t) = 10000(0.9407)^t$

Step-by-step explanation:

Value of the car:

Constant rate of change, so the value of the car in t years after 2012 is given by:

$f(t) = f(0)(1-r)^t$

In which f(0) is the initial value and r is the decay rate, as a decimal.

In 2012 your car was worth $10,000.

This means that $f(0) = 10000$ , thus:

$f(t) = 10000(1-r)^t$

2014 your car was worth $8,850.

2014 - 2012 = 2, so:

$f(2) = 8850$

We use this to find 1 - r.

$f(t) = 10000(1-r)^t$

$8850 = 10000(1-r)^2$

$(1-r)^2 = \frac{8850}{10000}$

$(1-r)^2 = 0.885$

$\sqrt{(1-r)^2} = \sqrt{0.885}$

$1 - r = 0.9407$

Thus

$f(t) = 10000(1-r)^t$

$f(t) = 10000(0.9407)^t$

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3 years ago

Help this question has time please its myfinal exam

Zarrin [17]

Answer:

$(x,y) = (-0.5,0.5)$

Step-by-step explanation:

Given

See attachment

Required

The solution

The solution is at the point where the two lines meet.

The lines meet at:

$x = -0.5$ and $y = 0.5$

So, the solution is:

$(x,y) = (-0.5,0.5)$

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2 years ago

Solve the linear system using substitution <br><br> y - 5 = x<br> 4x - y = 4

Agata [3.3K]

Step-by-step explanation:

X=y-5

Now,

4x-y=4

4(y-5)-y=4

4y-20-y=4

3y=24

Y=8

Substituting the value of y

8-5=x

X=3

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2 years ago