Let daniel's age = d and let jessica's age = j
let your current age = x and your wife's current age = y
x = 5d (given in question)
∴ x - 5d = 0
x + 21 = 2(d+21) (given in question)
∴ x + 21 = 2d + 42
∴ x - 2d = 21
We can solve these two rearranged equations simultaneously by multiplying the first equation by -1 and adding them. This gives us the following:
3d = 21
∴ d = 7
This means that daniel is currently 7 and (if we substitute d = 7 into one of the equations) you are 35. We use a similar method for your wife's and jessica's current ages.
y = 7j (given in question)
∴ y - 7j = 0
y + 8 = 3(j + 8)
∴y + 8 = 3j + 24
∴ y - 3j = 16
If we use a similar method of elimination we get this:
4j = 16
∴ j = 4
Hence, from this we can concur that daniel is 7 and jessica is 4.
x + 8x = 9x
(like 1 + 8 but with x's)
The answer is A $ 167
I=pr^t-p
I=500(104.2/100)^7-500
I=500(1.042^7-1)
I=$167.00 to nearest dollar
Answer:
Step-by-step explanation:
First of all, I can't think of a single exception to this, but when you rotate a figure, the two figures are congruent If all you do is rotate it.
2y/2 = 5/2 Divide both sides by 2
y = 5/2
y = 2.5
2x = 67 degrees Divide both sides by 2.
2x/2 = 67/2 x = 33.5
3w + 3 =12 Subtract 3 from both sides
3w + 3 -3 = 12-3 Combine
3w = 9 Divide by 3
w = 9/3
w = 3
