1) we calculate the portion of pool cleaned by Anita in a hour.
1 pool cleaned-----------------8 hour
x-----------------------------------1 hour
x=(1 pool cleaned * 1 hour) / 8 hour=1/8 portion cleaned.
2) we calculate the portion of pool cleaned by Chao in a hour.
1 pool cleaned-----------------6 hour
x-----------------------------------1 hour
x=(1 pool cleaned * 1 hour) / 6 hour=1/6 portion cleaned.
3) we can suggest this equation:
x=number of hour
x(1/8+1/6)=1
(number of hour)*(portion of pool cleaned by Anita in a hour + portion of pool cleaned by Chao in a hour)=1 pool cleaned.
4) we solve this equation:
x(1/8 + 1/6 )=1
1/8+1/6=(3+4)/24=7/24
least common multiple (8,6)=24
x(7/24)=1
x=(1*24)/7
x=24/7≈3.43 (3 hours, 25 minutes, 43 seconds)
Answer:together they cleaned the pool in 3 hours, 25 minutes and 43 seconds.
Answer:
The answers are A and D
Step-by-step explanation:
2/6 simplified is 1/3 and none of the other choices are equal to 1/3, so the answers are A and D.
Slope intercept form is y=mx+b where m=slope and b=yintercept so
3x-7y=11
add 7y to both sideds
3x=11+7y
subtract 11 from both sides
3x-11=7y
divide both sides by 7
3/7x-11/7=y
y=3/7x-11/7
slope is 3/7
Step-by-step explanation:
step 1. perpendicular lines have negative reciprocal slopes
step 2. perpendicular to m = 1/3 is the slope m = -3/1 or m = -3
step 3. a line through (3, 2) with m = -3 is y - 2 = -3(x - 3)
step 4. y - 2 = -3x + 9
step 5. y = -3x + 11.
Answer:
∠A = 45°
Step-by-step explanation:
The sum of angles in a triangle = 180°.
That means in the triangle ABC, ∠A + ∠B + ∠C = 180°.
Given ∠B = 90° and ∠C = 45°.
⇒ ∠A + 90° + 45° = 180°
⇒ ∠A = 180 - 90 - 45
⇒ ∠A = 45° is the required answer.
