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.
Answer:
65
Step-by-step explanation:
Formula: 1/2bh
An isosceles triangle has at least 2 sides equal, so the blank side is 13.
base=10
height=13
13*10=130
half of that is 65
Solve the rational equation by combining expressions and isolating the variable m.
m = -10
Answer:
d
Step-by-step explanation:
It is a 1/13 chance but even if you shuffle and replace it, its still a 1/13 chance.
Answer:
149
Step-by-step explanation:
If the expression 3x+10 is equal to 6 for some value of x, then what is the value of 3x+2 equal to for the same value of x ?