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Ne4ueva [31]
3 years ago
10

Benito spent $1616 to operate his car last year. Some of these expenses are listed below. Benito's only other expense was for ga

soline. If he drove 7270 miles, what was the average cost of the gasoline per mile?
Operating Expenses
Insurance $946
Registration $105
Maintenance $74
A. 6.75 cents
B. 0.81 cents
C. 62.30 cents
D. not enough information given
Mathematics
1 answer:
Verizon [17]3 years ago
5 0
Subtract all the operating expenses from the amount he spent total and get what's left over is $491.  That's what he spent on gas.  Divide the number of miles he drove by the amount he spent on the gas to find out what the average cost of the gas was per mile.  491/7270 = .06753.  But that is expressed in dollars and we need it in cents.  Multiply that decimal by 100 to get 6.75 cents, choice A from above.
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What is the Y intercept of the line graphed on the grid
Alenkasestr [34]

Answer:

5.5

Step-by-step explanation:

The y-intercept of the line graph shown above is the value of the point where the line cuts the y-axis. The y-intercept of this graph is between 5 and 6. However, we can get an accurate value by calculation. This can be done by generating an equation of the line.

Recall the slope-intercept equation, y = mx + b, where m = slope of the line, b = y-intercept.

To generate the equation of the line, first find slope using the points (-2, 7) and (6, 1):

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 7}{6 -(-2)} = \frac{-6}{8} = -\frac{3}{4}.

Substitute m = ¾ and the coordinates (6, 1) into the slope-intercept equation to find the y-intercept (b):

y = mx + b

1 = -\frac{3}{4}(6) + b

1 = -\frac{18}{4} + b

1 = -4.5 + b + 4.5

1 + 4.5 = -4.5 + b + 4.5

5.5 = b

Therefore, b = y-intercept = 5.5.

To generate the equation of the line, plug in the values of m and b, we would have:

y = ¾x + 5.5

The y-intercept of the line of the graph is 5.5.

5 0
3 years ago
10t+<img src="https://tex.z-dn.net/?f=%5Cgeq" id="TexFormula1" title="\geq" alt="\geq" align="absmiddle" class="latex-formula">1
Umnica [9.8K]

Answer:

The answer is t\geq 20.

Step-by-step explanation:

To solve the inequality, start by solving for the variable t.

To solve for the variable t, subtract 3.5t from both sides. The inequality will look like 6.5t\geq 130.

Then, divide both sides by 6.5 in order to get the variable t by itself. The inequality answer will look like t\geq  20.

3 0
3 years ago
Which value for k makes the equation 42 ÷ k = 14 true? Select all that apply. A. 588 B. 62 C. 1452 D. 3 E. 23
Alexus [3.1K]

Answer:

A

Step-by-step explanation:

What divided by 42 equals 14? In other words, you have an unknown number (X), and then if you divide that X by 42 you get 14. Then what is that X? The equation to calculate what divided by 42 equals 14 is as follows: X/42 = 14 Where X is the answer. When we solve the equation by multiplying each side by 42, you get get:

X = 588

3 0
3 years ago
Complete the square: x^2-8x+21=6<br><br> Please show work
mina [271]

Answer:

x=5 and 3

Step-by-step explanation:

x^2-8x+21=6

x^2-8x+21+16=6+16

(x-4)^2=1

(x-4)=±1, x=5 and 3

5 0
3 years ago
Read 2 more answers
Please help me with the questions I have please help me with the question mark you as a brnlist
Harlamova29_29 [7]

Answer:

x = 21

Step-by-step explanation:

You can solve this problem by using similar triangles. You can tell that the two triangles are similar by AAA (since two angles are the same, the third must be too).

Now that we've established that the triangles are similar, you need to identify the corresponding sides:

12 corresponds to 28

9 corresponds to x

In order to find x, you'll need to find the scale factor, which you can find by dividing 28 by 12:

28 ÷ 12 = 7/3

Now that you know that 7/3 is the scale factor, you can multiply it by 9 to find x:

9 × 7/3 = x

x = 63/3

x = 21

4 0
3 years ago
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