Answer:
Width = 7units
Step-by-step explanation:
The area of a rectangle
A = h * w
A - area of a rectangle
h - height of a rectangle
w - width of a rectangle
Or
A = length * breadth
It's all the same
Given :
h = 1 + w
w = w
A = 56
56 = ( 1 + w) * w
56 = ( 1 + w)w
56 = w + w^2
56 = w^2 + w
w^2 + w - 56 = 0
Find a factor that can be multiplied to give -56
and added to give + 1
The factor is 8 and -7
Substitute 8w - 7w for w
w^2 + 8w - 7w - 56 = 0
( w^2 + 8w) - (7w - 56) = 0
w( w + 8) - 7( w + 8) = 0
( w - 7) = 0
( w + 8) =0
w - 7 = 0
w = 7
w + 8 = 0
w = -8
Since a side of any rectangle can not be negative
w = 7
The width of the rectangle is 7units
The length of the rectangle is 1 + w = 1 + 7 = 8units
7:6 because they won 7 games while let the 6 rest games
Answer:
The independent variable is the variable the experimenter changes or controls and is assumed to have a direct effect on the dependent variable. In other words, the dependent variable is the one you measure and the independent is the one you change in an experiment.
Step-by-step explanation:
Hope this helps:)
Answer:
9
Step-by-step explanation:
bc 9x8=72 and 9 is the greatest number so the answer is 9
Answer:
4 Hours
Step-by-step explanation:
Let's say that the rate of the machines 1/x, because every time they complete an order, it takes them x hours. To find x, we have to add the the rates of the individual machines, which would equal the rate of the machines working together. We know that there are four machines working together at the same rate, and it took them 32 hours.
So:
1/x + 1/x + 1/x + 1/x = 1/32
1/4x = 1/32
4x = 32
x = 8
Thus, the rate of the machines is 1/8.
Now we have to find the time of the order with only half of the machines working together. This time, we don't know the combined rate, so I'll substitute it for y.
1/8 + 1/8 = 1/y
1/4 = 1/y
y = 4
The time taken to complete it is 4 hours.
