Answer:
x = 4
Step-by-step explanation:
Since the terms are in an arithmetic progression then there is a common difference between consecutive terms, that is
2x - 1 - (x + 1) = x + 5 - (2x - 1) ← distribute parenthesis on both sides
2x - 1 - x - 1 = x + 5 - 2x + 1, that is
x - 2 = - x + 6 ( add x to both sides )
2x - 2 = 6 ( add 2 to both sides )
2x = 8 ( divide both sides by 2 )
x = 4
The 3 terms are 5, 7, 9
Answer:
Kevin can drive 681 miles.
Step-by-step explanation:
In order to find the amount that he can drive in one day and only pay $250, we have to write an equation for the cost. Using x as the miles he drive, we can express the equation as:
y = .33x + 24.95
Now, we can plug in 250 for y.
250 = .33x + 24.95
225.05 = .33x
681.97 = x
Since we are looking for only whole miles, we have to round down to 681.
Answer/Step-by-step explanation:
These are the ones that are not equivalent to eachother. 1. 18/30
2. 8/10
3. 4/9
4. 14/18
5. 10/20
6. 20/32
7. 18/30
Answer:
1,080 Pennies
Step-by-step explanation:
This question is fairly simple, you just have to simplify it. You are starting at already half-full, so you can keep that 1/2 in mind. Then, she adds 360 pennies to get 5/6. If you convert 1/2 into 3/6, you can see that 360 pennies fills 2/6 of the piggy bank. So now you can solve two different ways. The first, you can take 360 and multiply it by 3 to get the amount that can fit in the piggy bank, because 2 * 3 = 6 and that would make it 6/6, or 1. The other way would be to divide 360 by 2 to get 1/6 of the piggy bank, or 180. Then you can multiply 180 by 6 to get the entire amount.
Hope this helped ^-^
