Answer:
x = 5 and y = 7
Step-by-step explanation:
Given that,
PT = x+2, TR=y, QT=2x, TS=y+3
We need to find the value of x and y.
The diagonal of a parallelogram bisect each other. It means,
PT = TR and QT = TS
ATQ,
y = x+2 ...(1)
and
y+3 = 2x ....(2)
Subtracting equation (1) and (2).
y-(y+3) = x+2-2x
y-y-3 = 2-x
-3 = 2-x
x = 2+3
x = 5
Put the value of x in equation (1).
y = 5 + 2
y = 7
Hence, the values of x and y are x = 5 and y = 7.
Answer:
The initial amount in the account is $333.33
Step-by-step explanation:
Here, we want to calculate the initial amount in the account.
Let the initial amount be $x
Mathematically;
Simple interest = PRT/100
where P is the amount deposited = $x
R is the rate = 10%
T is the time = 5 years
Simple interest = Present amount - Principal = $(500-x)
By substituting;
500-x = (x * 10 * 5)/100
100(500-x) = 50x
50,000 - 100x = 50x
50,000 = 100x + 50x
150x = 50,000
x = 50,000/150
x = 333.33333333
Which to the nearest penny ; x = $333.33
Answer:
21/18 which simplifies to <u>7/6</u>
Step-by-step explanation:
Answer:
178 ERASERS
Step-by-step explanation:
YOU NEED TO START BACKWARDS. HE BOUGHT 76 ERASERS AND HE HAS 193, SO WHATEVER HE HAD AT THE END OF TUESDAY+76 IS HOW MUCH HE HAS ON WEDNESDAY. 193-76=117. ON TUESDAY, HE STARTED WITH ERASERS AT END OF TUESDAY+39 ERASERS. 117+39=156. ON MONDAY, HE STARTED WITH END OF MONDAY+22 ERASERS. 156+22=178