1647. 1 hour=60 minutes. John can mow 247 square feet per minute, so he can mow 60*247=14820 square feet per hour. 1 yard=3 feet, so 1 square yard =3^2=9 square feet, so in the same duration of time, John can mow 14820/9=1647 square yards (approximately) per hour.
substitute y = 3x-12 into -4x + 3y = -11
-4x +3 (3x-12) = -11
distribute
-4x +9x-36 = -11
combine like terms
5x - 36 = -11
add 36 to each side
5x = 25
divide each side by 4
x = 5
noe we need to find y
y = 3x -12
y = 3(5) -12
= 15 -12
y = 3
answer (5,3)
Answer:
About 5 hr 10 min
Step-by-step explanation:
rate 1 = 1 pool / 9 hrs rate 2 = 1 pool / 12 hours
now find the time with both rates combined
1 pool / ( 1/9 + 1/12) = 1/ (7/36) = 36/7 hr = 5 1/7 hr = 5 hr 8.6 min
Answer:
x = 4 2/7
Step-by-step explanation:
2/3 x= -1/2x+5
Add 1/2 to each side
2/3 x 1/2 x = -1/2x+1/2x+5
2/3 x +1/2x =5
Get a common denominator
2/3x *2/2 + 1/2 *3/3 = 5
4/6x + 3/6x = 5
7/6x = 5
Multiply each side by 6/7 to isolate x
6/7 *7/6x = 5 *6/7
x = 30/7
Change to a mixed number
x = 28/7 + 2/7
x = 4 2/7
[ (52.65 * 5) + 46.25 - 16.25] * 1/6
[ 263.25 + 46.25 - 16.25] * 1/6
293.25 * 1/6 =
293.25/6 =
48.875
error occurred in step 3....he multiplied by 6 instead of multiplying by 1/6