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.
Since he can run 1/4 of a mile in 2.5 minutes, he will run a full mile in 4*2.5 =10 minutes, assuming he runs at a steady speed.
9514 1404 393
Answer:
Step-by-step explanation:
Angle U = angle N = 180° -142° -24° = 14°
The expression for angle U tells us the value of x.
2x -50 = 14
x -25 = 7 . . . . . divide by 2
x = 32 . . . . . . . .add 25
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The measure of side SU is the same as that for side PN.
13 = (2x -y)
y = 2x -13 = 2(32) -13 . . . . solve for y, substitute for x
y = 51
Answer:
Step-by-step explanation:
Let length = x
Width = x + 5
Area = 36
Area = length × width
36 = x(x + 5)
36 = x^2 + 5x
x^2 + 5x - 36 = 0
x^2 + 9x - 4x -36 =0
(x^2 + 9x) - (4x + 36) = 0
x(x + 9) - 4(x + 9) = 0
(x -4)(x+9) = 0
x - 4 = 0 or x + 9 = 0
x = 4 or -9
But x can only be positive because it is a length
x = 4unit = length
Width = x + 5 = 4 +5 = 9unit
Answer:
answer is true because 27 is belong between 14 to 32 so, it true
