Write System of Equations from Context

Mason owns a trucking company. For every truck that goes out, Mason must pay the driver $13 per hour of driving and also has an expense of $1 per mile driven for gas and maintenance. On one particular day, the driver drove an average of 30 miles per hour and Mason's total expenses for the driver, gas and truck maintenance were $258. Write a system of equations that could be used to determine the number of hours the driver worked and the number of miles the truck drove. Define the variables that you use to write the system.

Answer:

Tn = 8n - 2

Step-by-step explanation:

Given the arithmetic sequence

6, 14, 22, 30, 38

The nth term is expressed as;

Tn = a +(n-1)d

a is the first term = 6

d is the common difference = 14 - 6 = 22 - 14 = 8

Substitute into the formula;

Tn = 6 + (n-1)(8)

Tn = 6 + 8n-8

Tn = 8n - 2

Hence the nth term of the sequence is 8n-2

Answer:

4 years

Step-by-step explanation:

Hope this helps

Answer:

4 years

Step-by-step explanation:

do 1,875 divided by 768

Answer:

(3x+1)(2x+1)

Step-by-step explanation:

Answer:

[tex]x2[/tex]=[tex]\frac{5-\sqrt{113} }{8} , x2 = \frac{5+\sqrt{113} }{8}[/tex]

Step-by-step explanation:

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Answer:

y = -2

x = 6

Step-by-step explanation:

hope it help

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Answer:

-9°F

Step-by-step explanation:

If we have a horizontal line in which the zero is in the middle, the positive numbers are on the right and the negative numbers are on the right, we would see that -9°F is further than 6°F. Even though -9°F is a smaller temperature, it is still further away from the zero.

Answer:

532381.5

Step-by-step explanation:

456327 divided by 6 to get 1/6 = 76054.5

76054.5 x 7 to get 7/6 = 532381.5

or 456327 (6/6) + 76054.5 (1/6) =532381.5

Answer:

6.3

Step-by-step explanation:

8.5 - (-4.8)

Let's focus on - (-4.8)

if a negative number is subtracted, it reverses itself

In other words, if a negative number is being subtracted, it is the same as being added as a positive number

So we change the equation to

8.5 + 4.8 = 13.3

Now we subtract 7 from 13.3

Since positive 7 is being subtracted, the rule for -4.8 does not apply to it

13.3 - 7 = 6.3

Answer:

4

Step-by-step explanation:

It's a opposite of -4 so the opposite would be 4

Answer:

4

Step-by-step explanation:

The opposite of -4 is 4

In addition

The absolute value of -4 is also 4

Therefore, the answer is 4.

Step-by-step explanation:

Solution for 100 is what percent of 0.28:

Percentage solution with steps: Step 1: We make the assumption that 0.28 is 100% since it is our output value.

Answer:

28%

Step-by-step explanation:

Answer:

SOLUTION: X=5

Step-by-step explanation:

x=5

y=27

vertical input= (0, 1/9)

Hope that helps!

Answer:

180

Step-by-step explanation:

Answer:

2.36 * 10^13 miles

Step-by-step explanation:

Given that :

Proxima centauri is at a distance of 4.24 light years away from the sun.

Distance in miles of Proxima centauri from the sun ;

1 light year = 5.9 * 10^12 miles

Number of light years from the sun * 5.9 * 10^12

= 4 * (5.9 * 10^12)

= 23.6 * 10^12 miles

= 2.36 * 10^13 miles

Answer:

A

Step-by-step explanation:

IT IS A

Answer:

73 degrees

Step-by-step explanation:

Answer:5m+22-15n

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

25 plus 7 is 32

32 minus 3 is 29

29 plus 16 is 45

hmmm well that's a  lil too hard for my smol brain to process but hmmm well when I think about it, it really gets my brain thinking and ummm well you see it's uh hmm you add the yeah to that and hmmmm well ahhh that looks to be about right uuuuuuuuuh

45....

.....or is it?

hmmmmmmmmmmmmmmm

Answer:

750/100 X 7 = 52.50

52.50 X 3 = $157.50

Step-by-step explanation:

divide principal amount by 100 then multiply by interest percentage. this gave 52.50

now multiply the interest amount by number of years

in this case 3

52.50 X 3 = $157.50

Answer:

right triangle it is because if u make a graph and put the points u would get a right isosclses triangle

Step-by-step explanation:

The triangle ABC with verticies A(3, 3), B(6, 9) and C(6, -3) is an isosceles triangle.

If a² + b² < c² then it is an acute angle triangle.

If a² + b² = c² then it is a right-angle triangle.

If a² + b² ≥ c² then it is an obtuse angle triangle.

Given, A ΔABC with verticies A(3, 3), B(6, 9) and C(6, -3).

We know the distance formula [tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex].

From this we find AB = √45 units, BC = 12 units and AC = √45 units.

Now, this is an isosceles triangle with two equal sides of √45 units.

learn more about the isosceles triangle here :

https://brainly.com/question/2456591

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Answer:

Ans: The number will be six (6)

Answer:-18

Step-by-step explanation:

6(x−3)+x=7x−18

Step 1: Simplify both sides of the equation.

6(x−3)+x=7x−18

(6)(x)+(6)(−3)+x=7x+−18(Distribute)

6x+−18+x=7x+−18

(6x+x)+(−18)=7x−18(Combine Like Terms)

7x+−18=7x−18

7x−18=7x−18

Step 2: Subtract 7x from both sides.

7x−18−7x=7x−18−7x

−18=−18

Step 3: Add 18 to both sides.

−18+18=−18+18

0=0

Answer:40

Step-by-step explanation:

100+10+10=3x

3x=120

Divide both sides by 3

X=40

Answer:

40

Step-by-step explanation:

add 100+10+10 and divide it by 3

Answer:

13.6

Step-by-step explanation:

Remember SOH CAH TOA

We're going to use tangent = opposite / adjacent because the 11 is opposite theta (39 degrees) and x is adjacent to it.

tan (39) = 11 / x

x = 11 / tan(39)

x = 13.584 -> 13.6 (rounded to nearest tenth)

Note: Make sure your calculator is in degree mode.

Answer:

AAS

Step-by-step explanation:

have a good day:) .....

Answer:

4x+30.97777... (7 repeating)

Step-by-step explanation:

Look at image

Its A becuase 12/6=2

Answer:

28

Step-by-step explanation:

Well we know that in a day there are 24 hrs so in 4 days there will be 96 hrs

so the car travelled 2686 miles in 96 hours

2686/96= 27.9791666667

So the car's average speed is about 28

Answer: -6

Step-by-step explanation: 7 + -6 = 1

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Answer:

x= -6

Step-by-step explanation:

x+7=1

1-7= - 6

SO , -6+7= 1