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frutty [35]
2 years ago
6

The driving distance from Seattle to Portland is 175 miles. Your car gets 25 miles per gallon. If gasoline is $2.80 per gallon,

how much will the round trip from Seattle to Portland and back cost in dollars?
Mathematics
1 answer:
Anna71 [15]2 years ago
7 0

Answer:

$980

Step-by-step explanation:

Given the cost of gasoline = $2.80/mile

Total Distance = 175miles x 2 (Back and forth)

= 350 miles

Total Cost = Cost of gasoline x Total Distance =

= $2.80 x 350

= $980

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Mandarinka [93]

Answer:

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Step-by-step explanation:

8 0
3 years ago
Mr. Ramirez purchased 20 concert tickets for a total of $225. The concert tickets costs $15 for adults and $10 for children unde
raketka [301]

Answer:

C = 15

Step-by-step explanation:

Let A = # of adults and C = # of children.

 

A +  C = 20

15A + 10C = 225

 

There are several ways to solve this system; here is one of them.

 

From the first equation: C = 20 - A

Substitute into the second equation: 15A + 10(20 - A) = 225

Multiply, collect terms, and subtract 200 from each side: 5A = 25 => A = 5

Since C = 20 - A, C = 15

4 0
3 years ago
Find f(g(x)) and g(f(x)) 1. F(x) = X²-3x+1 g(x)=5x-7
Mariana [72]

We are given the following functions

\begin{gathered} f(x)=x^2-3x+1 \\ g(x)=5x-7 \end{gathered}

Let us first find f(g(x)

Substitute x = 5x - 1 into the function f(x) and simplify

\begin{gathered} f(g(x))=(5x-7)^2-3(5x-7)+1 \\ f(g(x))=(25x^2-2\cdot5x\cdot7+49)^{}-15x+21+1 \\ f(g(x))=25x^2-70x+49^{}-15x+22 \\ f(g(x))=25x^2-70x-15x+49+22 \\ f(g(x))=25x^2-85x+71 \end{gathered}

Now let us find g(f(x))

Substitute x = x² - 3x + 1 into the function g(x) and simplify

\begin{gathered} g(f(x))=5(x^2-3x+1)-7 \\ g(f(x))=5x^2-15x+5-7 \\ g(f(x))=5x^2-15x-2 \end{gathered}

Therefore, f(g(x) and g(f(x)) are

\begin{gathered} f(g(x))=25x^2-85x+71 \\ g(f(x))=5x^2-15x-2 \end{gathered}

5 0
1 year ago
11x^2+2-7x-6x^2-12 solve for this equation
Misha Larkins [42]

Answer:

5x^2 - 7x - 10.

Step-by-step explanation:

11x^2+2-7x-6x^2-12

Bring like terms together We get:

11x^2 - 6x^2 - 7x + 2 - 12

= 5x^2 - 7x - 10.

6 0
3 years ago
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Archy [21]

Answer:

5. y=-1 (the line of reflection)

6. 90 degrees CCW

7. move the figure 4 units right

8. Increase or multiply the figure by two...

Step-by-step explanation:

7.(add 4 to every x value) and 6 down (subtract 6 from every y-value)

8.J is 2 units up and one unit left of the origin so you'd multiply it by 2 so that it is 4 units up and 2 units left of the orgin. Repeat this for every point of the triangle

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3 years ago
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