Answer:
80 minutes
Step-by-step explanation:
Rate and Time are inverses of each other
First,
Elise Time = 12
and
Katherine Time = 2 * 12 = 24
Their rates would be (inverses):
Elise Rate = 1/12
Katherine Rate = 1/24
Together their rate is 1/12 + 1/24 = 3/24
Now, the inverse of this rate would be the time it takes to complete 1 bag together, that is:
(3/24) ^ -1 = 24/3 = 8 minutes
So, 10 bags would take them:
8 * 10 = 80 minutes
Answer:
x=−32/5
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
1/2(1/4x−3/5)=1/4(2/5+3/4x)
(1/2)(1/4x)+(1/2)(−3/5)=(1/4)(2/5)+(1/4)(3/4x)(Distribute)(1/2)(1/4x)+(1/2)(−3/5)=(1/4)(2/5)+(1/4)(3/4x)(Distribute)
1/8x+−3/10=1/10+3/16x
1/8x+−3/10=3/16x+1/10
Step 2: Subtract 3/16x from both sides.
1/8x+−3/10−3/16x=3/16x+1/10−3/16x
−1/16x+−3/10=1/10
Step 3: Add 3/10 to both sides.
−1/16x+−3/10+3/10=1/10+3/10
−1/16x=2/5
Step 4: Multiply both sides by 16/(-1).
(16/−1)*(−1/16x)=(16/−1)*(2/5)
x=−3/25
Answer:
y = - | (1/4)x - 1 | + 3
Step-by-step explanation:
if you are asking for the equation of the graph,
y = - | (1/4)x - 1 | + 3
Let x = the number of green apples, let 4x = the number of red apples
4x + x = 50 Set up the quation
5x = 50 Combine like terms
---- ---- Divide by 5 on both sides to get x alone
5 5
x = 10 green apples
4x = 4(10) = 40 red apples
40 - 10 = 30. Suzanne bought 30 more red apples than green apples.
To easily find the slope and y intercept of the line, put it in slope intercept form by rearranging the variables around.
6x-7y = 2
6x - 7y + 7y = 2 + 7y
6x = 7y + 2
6x - 2 = 7y + 2 - 2
7y = 6x - 2
7y/7 = 6x/7 - 2/7
Y = 6/7(X) - 2/7
Y = 6/7x - 2/7
Slope = m = 6/7
Y intercept = b = -2/7
(0, -2/7).
