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:
The answer to your question is 2x² - 29x + 26
Step-by-step explanation:
dividend = 6x³ - 25x² + 20x + 4
divisor = 3x + 2
2x² - 29x + 26
3x + 2 6x³ - 25x² + 20x + 4
-6x³ - 4x²
0 - 29x² + 20x
+ 29x² + 58x
0 78x + 4
-78x - 52
0 - 48
quotient = 2x² - 29x + 26
remainder = -48
Result = 2x² - 29x + 26 - 48/6x³ - 25x² + 20x + 4
The volume of the rectangular prism with the dimensions given are as follows:
v = 72 inches³
v = 36 inches³
v = 80 inches³
v = 54 inches³
<h3>Volume of a rectangular prism</h3>
where
l = length
w = width
h = height
Therefore,
a.
- v = 4 × 3 × 6 = 72 inches³
b.
- v = 6 × 3 × 2 = 36 inches³
c.
- v = 4 × 5 × 4 = 80 inches³
d.
- v = 2 × 9 × 3 = 54 inches³
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Answer:
The friends live 285 miles apart.
Step-by-step explanation:
Let total distance in miles Sean needs to cover to visit his friend be = 
On first hour distance traveled in miles is = 
Distance left to cover after first hour = 
On second hour distance traveled = 34 miles
Distance to still left to be covered = 194 miles
Total distance to be covered after first hour will be = 
= 228 miles
Thus, the equation can be given as:
⇒ 
Multiplying each term with 5 to remove fractions.
⇒ 
⇒ 
⇒ 
Dividing both sides by 4.
⇒ 
∴ 
Thus, the friends live 285 miles apart.
