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hoa [83]
3 years ago
11

Darnell's car used 8 gallons of gasoline to travel 340 miles. after a mechanic worked on the car, it used 7 gallons of gasoline

to travel 350 miles. If the price of the gasoline was approximately $4.00 per gallon, how much lest to the nearst cent per mile, did it cost to run the car after the mechanic worked on it?
Mathematics
1 answer:
ollegr [7]3 years ago
7 0
Before the mechanic worked on it, it cost .09 (cents) per mile.  After the mechanic worked on it, it cost .08 (cents) per mile.  Divide the number of gallons by the miles in each case and multiply the result by 4.
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If 3x−y=12, what is the value of <br>8x<br>2y
PSYCHO15rus [73]

Answer:

8x=32\\2y=-24

Step-by-step explanation:

When solving for 1 variable, set the other to 0 and solve.

3x-y(0)=12\\3x=12\\x=4\\4*8=32\\8x=32\\\\3(0)-y=12\\-y=12\\y=-12\\-12*2=-24\\2y=-24

8 0
3 years ago
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8 0
3 years ago
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163,160,157,... find the 42nd term
UNO [17]

Answer:

It's 40

Step-by-step explanation:

Arithmetic Sequence.

Common Difference:

160−163=−3

157−160=−3

d=−3

Explicit Formula:

an=a1+(n−1)d

​

a42​=163+(41)(−3)

a42 = 40

6 0
3 years ago
Which of the following angles is in the solution set of sec^2θ - 3secθ - 2 = 0 for 0° ≤ θ &lt; 360°.
STALIN [3.7K]
1 / cos^2 O - 3 / cos O - 2 = 0
1 - 3 cos O -  2 cos^2 O = 0

2 cos^2 O + 3 cos O - 1 = 0

cos O = 0.2807 , -1.78   ( -1.78 cannot be a solution)

O = 74 degrees  (from  0.2807) another solution is 360-74 =  286 degrees

Its D
4 0
3 years ago
On a car trip , the number of miles driven , m , is proportional to the number of gallons of gas used , g , as shown in the tabl
FrozenT [24]

Answer:

  m = 32g

Step-by-step explanation:

The proportion between m and g can be written ...

  m = kg

where k is the constant of proportionality.

__

We can find its value by dividing by g:

  k = m/g

Using any pair of corresponding values from the table, we find ...

  k = 64/2 = 32

The relationship between m and g can be expressed by the equation ...

  m = 32g

3 0
2 years ago
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