Answer:
70000 gallons
Step-by-step explanation:
The total time between 8 a.m. to 6 p.m is 10 hours. The company starts producing at 8 am, therefore the time from 8 am to noon (that is 12 p.m) is 4 hours.
Since clients demand 100,000 gallons of milk over the course of one day, the demand of milk per hour = total demand per day/ total time per day
Demand per hour = 100000 gallons / 10 hours = 10000 gallons per hour
Since the milk is processed at a fixed rate of 7500 gallons/hour, At noon the amount of of milk produced = 7500 gallons/hour × 4 hours = 30000 gallons.
The gallons of milk are in the queue to be processed at noon = 100000 gallons - 30000 gallons = 70000 gallons
The scale factor in the question given above is: 2 See the explanation below.
<h3>What is a scale factor?</h3>
In math, the scale factor is the extent or ratio by which a geometrical shape is enlarged or reduced.
<h3>What is the explanation for the above answer?</h3>
We know that:
- The distance from point Q to point A is 1.25
- The distance from point A to point A' is 1.25
Given the above, the distance from point Q to point A' is 2.50. This is double the distance from point Q to point A.
The scale factor is 2.
1.25 + 1.25 = 2.50
2.50 / 1.25 = 2
Learn more about scale factor at;
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Answer:
m = 13.
Step-by-step explanation:
Recall that adding logarithmic equations, (ex: log a + log b) is the same as log (a·b). Therefore:
log 12 + log 5 = log (4m + 8)
log (12·5) = log (4m + 8)
log (60) = log (4m + 8) **Ignore 'Log' to solve for 'm'
60 = 4m + 8 **Subtract both sides by 8
52 = 4m **Divide both sides by 4
m = 13.
So in equations you want to do the same thing to both sides so that the equation will stay equal
when dealing with one unknown number (m) try to get them all on the same side
0.6m+3=2m+0.2
I usually like positive unknowns so
subtract 0.6m from both sides
3=1.4m+0.2
subtract 0.2 from both sides
2.8=1.4m
divide both sides by 1.4
2.8/1.4=2=x
if dividing by decimals move the decimal either round the decimals up or down then divide. or multiply them by the 10 to the same power then divide.
x=2