Hope this helps but try to do process of elimination.
Josh's monthly fuel expenses are $1,050.
<h3><u>Prices</u></h3>
Given that Josh is looking to get a new car because he decided he was spending too much on gas, and over the past year he found that he drove 7,700 miles, and at current gas prices of $4.5 he was getting about 27 miles per gallon, To determine, if he bought a vehicle that realizes 33 miles per gallon, what might be a reasonable estimate of monthly gas costs, the following calculation must be made:
- 27 = 100
- 33 = X
- 3300 / 27 = X
- 122.22 = X
- 122.22 = 100
- 100 = X
- 10000 / 122.22 = X
- 81.81 = X
- (7700 / 33) x 4.5 = X
- 233.33 x 4.5 = X
- 1050 = X
Therefore, Josh's monthly fuel expenses are $1,050.
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Answer:
c
Step-by-step explanation:
Answer: Since I don't really understand the question it's asking, I would assume that the answer for no. 1 is Swiss, and the answer for no. 2 is Cheddar. I know it's not completely an accurate assumption, and it might be wrong, but that's just what I think it'd be.
Step-by-step explanation:
Answer:
The first term is 3. The common difference is 2.
Step-by-step explanation:
The first term is x.
The common difference is d.
The second term is x + d.
3rd term: x + 2d
4th term: x + 3d
7th term: x + 6d
"The fourth term of an Arithmetic Sequence is equal to 3 times the first term"
x + 3d = 3 * x Eq. 1
"the seventh term exceeds twice the third term by 1"
x + 6d = 2(x + 2d) + 1 Eq. 2
Simplify Eq. 1:
2x = 3d
Simplify Eq. 2:
x + 6d = 2x + 4d + 1
x = 2d - 1
Multiply both sides of the last equation by 2.
2x = 4d - 2
2x = 3d (simplified Eq. 1)
Since 2x = 2x, then the right sides are equal.
3d = 4d - 2
d = 2
2x = 3d
2x = 3(2)
2x = 6
x = 3
Answer: The first term is 3. The common difference is 2.
