Answer:
11
Step-by-step explanation:
The mean is calculated as
mean = 
let the third number be x , then
= 15 ( multiply both sides by 3 to clear the fraction )
34 + x = 45 ( subtract 34 from both sides )
x = 11 ← third number
308 gallons of 7% and 77 gallons of 2% are needed to obtain the desired 385 gallons.
<h3><u>Combination</u></h3>
Since a dairy needs 385 gallons of milk containing 6% butterfat, to determine how many gallons each of milk containing 7% butterfat and milk containing 2% butterfat must be used to obtain the desired 385 gallons, the following calculation must be performed:
- 385 x 0.06 = 23.1
- 300 x 0.07 + 85 x 0.02 = 22.7
- 310 x 0.07 + 75 x 0.02 = 23.2
- 308 x 0.07 + 77 x 0.02 = 23.1
Therefore, 308 gallons of 7% and 77 gallons of 2% are needed to obtain the desired 385 gallons.
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Answer:
input x = - 7
Step-by-step explanation:
A is modelled as y = 5x - 4
B is modelled as y = 3x + 8
We require output of A three times the output of B , then
5x - 4 = 3(3x + 8) ← distribute
5x - 4 = 9x + 24 ( subtract 9x from both sides )
- 4x - 4 = 24 ( add 4 to both sides )
- 4x = 28 ( divide both sides by - 4 )
x = - 7 ← input
