Answer:
Time machine one = 3.56
Time machine two = 4.56
Step-by-step explanation:
Let machine 2 do the job in x hours
Let machine 1 do the job in x - 1 hours.
The general formula for this problem is
Time = A*B/(A + B)
Givens
Time = 2 hours
B = x hours alone
A = x - 1 hours alone.
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x *( x - 1)
======= = 2
(x + x - 1)
(x^2 - x)/(2x - 1) = 2
x^2 - x = 2(2x - 1)
x^2 - x = 4x - 2
x^2 - 5x + 2 = 0
a = 1
b = - 5
c = 2
This gives 2 roots
x = 4.56
x = 0.43
The second root will not work because when 1 is subtracted from 0.43 the time give will be minus, which won't work.
Time for machine 2 is 4.56
The time for machine 1 is 3.56
Check
(A * B)/(A + B) = 2
A = 4.56
B = 3.56
Time = 4.56*3.56/(4.56 + 3.56)
Time = 16.2336/(8.12)
Time = 1.9992
The rounding error in the check comes from the rounding error in the times.
Answer:
The maximum number of children = 16
Explanation:
The greatest number of students who can get the fruit in this way (equally) will be equal to the highest common factor between the number of bananas and the number of apples.
Number of bananas = 128 = 2 * 2 * 2 * 2 * 2 * 2 * 2
number of apples = 176 = 2 * 2 * 2 * 2 *11
We can note that:
the highest common factor = 2 * 2 * 2 * 2
the highest common factor = 16
This means that the maximum number of children to get both equally is 16
Hope this helps :)
Answer:
5x-13
The Answer is in the picture above please mark me brainliest. :)
-x-y=1
-y=1+x
y=-1-x
-1-x=-2x+9
-x=-2x+10
x=10
y=-1-10
y=-11
Answer:
17
Step-by-step explanation:
We are given the expression find x + 9 if x = 8.
When a certain number has a variable and the value of the variable is known, all you have to do is plug in the variable amount into the equation, therefore :
x is 8 , so we plug in 8 for x
x + 9 =
8 + 9 = 17
