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djyliett [7]
1 year ago
5

The cost of maintaining car A is $300 per year plus $.014 per mile driven. The cost of maintaining car B is $200 per year plus $

.025 per mile driven. How many miles are driven in the first year in order for the total costs between car A and B to be equal?Car A = 300+.014xCar B =200+.025xSolve the following equation to determine when costs are equal300+.014x=200+.025x.011x=100

Mathematics
1 answer:
mylen [45]1 year ago
7 0

When cost is equal

\begin{gathered} 300+0.14x=200+0.025x \\ 300-200=0.25x-0.014x \\ 100=0.011x \\ x=\frac{100}{0.011} \\ x=9090.90909091 \\ x=9090.91 \end{gathered}

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Please help me thank you
Nezavi [6.7K]
Ten thousands place: 0
ten millions place: 3
3 0
3 years ago
(01.06) Below are two different functions, f(x) and g(x). What can be determined about their slopes? f(x)= 3x − 3 The function g
Damm [24]

Answer:

<h2>They both have the same slope</h2>

Step-by-step explanation:

The standard equation of a given line is expressed as y = mx+c where m is the slope and c is the intercept.

given the function f(x)= 3x − 3, comparing this equation with the standard format, we will have;

mx = 3x

Divide through by x

mx/x = 3x/x

m = 3

Hence the slope of the function f(x)= 3x − 3 is 3.

For a function g(x) passing through the points (0, 2) and (1, 5), to determine the slope, we will use the formula for calculating slope expressed as;

m = Δy/Δx = y₂-y₁/x₂-x₁

From the coordinates, x₁ = 0, y₁ = 2, x₂ = 1, y₂ = 5

m = 5-2/1-0

m = 3/1 = 3

Hence the slope of g(x) passing through the points (0, 2) and (1, 5) is also 3.

<em>This shows that both functions have the same slope.</em>

3 0
3 years ago
Pipe A can fill a tank in 40 minutes, while pipe B takes 60 minutes to fill the same tank.
ella [17]

Answer:

24 minutes.

Step-by-step explanation:

This question shows up in a great many places in math or physics, so it is a pretty good question to learn how to do.

First you should note that answer will be under 40 minutes.

1/40 + 1/60 = 1/TimeTotal

The common denominator on the left is 120 minutes

3/40*3 + 2/60*2 = 1/timetotal

3/120 + 2/120      = 1/ timetotal

5/120 = 1/time total  Now to use to the key stop

What you do now is you always turn the left side over. You do the same thing to total time.

120/5 = total time

24 = total time

What this means is that if you let both pipes run for 24 minutes, they will fill the tank working together.

4 0
3 years ago
The restaurant served 220 sandwiches, 120tacos, and 160 salads for lunch. What is the ratio of salads to total number of lunches
sladkih [1.3K]

Answer:

8 to 25

Step-by-step explanation:

The total number of lunches sold i

220+120+160 =500

We want the ratio of salads to total lunches

salads: lunches

160:    500

Divide each side by 20

160/20 : 500/20

8:25

3 0
3 years ago
What is the measure of angle OAC if major arc AB
Luden [163]

Answer: A. 55°

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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