Answer:
x = 3
Step-by-step explanation:
Solve for x:
1/2 + 1/x = 5/6
Bring 1/2 + 1/x together using the common denominator 2 x:
(x + 2)/(2 x) = 5/6
Cross multiply:
6 (x + 2) = 10 x
Expand out terms of the left hand side:
6 x + 12 = 10 x
Subtract 10 x + 12 from both sides:
-4 x = -12
Divide both sides by -4:
Answer: x = 3
Answer: there are 70 dimes and 40 quarters.
Step-by-step explanation:
A dime is 10 cents
A nickel is 5 cents
A quarter is 25 cents
Let x represent the number of dimes at the bottom.
Let y represent the number of quarters at the bottom.
The city park employee collected 1,850 cents in nickels, dimes, and quarters at the bottom of a wishing well. If there were 30 nickels, it means that
10x + 25y + 30 × 5 = 1850
10x + 25y = 1850 - 150
10x + 25y = 1700- - - - - - - - -1
There is a combined total of 110 dimes and quarters. It means that
x + y = 110
Substituting x = 110 - y into equation 1, it becomes
10(110 - y) + 25y = 1700
1100 - 10y + 25y = 1700
1100 + 15y = 1700
15y = 1700 - 1100
15y = 600
y = 600/15
y = 40
x = 110 - y = 110 - 40
x = 70
Answer:
y = -2
Step-by-step explanation:
<u>SOLUTION :-</u>
Solve the equation.
- Add 8 to both sides in order to isolate the equation.
∴ y = -2
<u>VERIFICATION :-</u>
To verify the solution of y , just put the solution (y = -2) in place of y in equation and check whether L.H.S = R.H.S.
L.H.S :-
-2 - 8 = <u>-10</u>
R.H.S. :-
<u>-10</u> (already given)
⇒L.H.S. = R.H.S. (verified)
Answer: 7.1 inches
Step-by-step explanation:
The area of a square is simply the square of one of its length. Therefore since we are informed that the area of the square box is given as 50 inches².
Then the best estimate of the length of one side will be the square root of 50 which will be:
= ✓50
= 7.1 inches approximately
Radius of circle would be R=a×✓2/2=√2 and Circle area is then A=R^2π=✓2^2π=2π or 2×3.14=6.28...
