Graph A. We have a *positive* slope, so the boundary line will be rising as its x values increase, and our inequality is telling us we’re looking at all values of y less than, or *below* that boundary line. Graph A meets both these requirements.
It would be -32-28 please mark brainliest
The amount in gallons of each milk containing 9% butterfat and milk containing 4% butterfat which must be used to obtain the desired 365 gallons are;
- 219 gallons of 9% fat.
- 146 gallons of 7% fat.
<h3>What quantity of each type of milk is required for the desired 365 gallon?</h3>
It follows from the task content that the quantity of each type of milk required to arrive at the targeted fat content and quantity of milk are to be determined.
Let x = quantity of 9% fat milk and
Let y = quantity of 4% fat milk
Therefore, by mass balance; we have;
x + y = 365.
Where; y = 365 - x.
Also, by fat balance; we have;
(9% × x) + (4% × y) = (7% × 365)
9x + 4y = 2555
Therefore, the two equations to be solved simultaneously by substituting y from the first equation into the second equation as follows;
9x + 4 (365 - x) = 2555
5x = 1095
x = 1095/5
x = 219 gallons.
Also, y = 365 - 219 = 146 gallons.
Read more on simultaneous equations;
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Answer:
<em>3n; 2 nickels and 6 quarters</em>
Step-by-step explanation:
"Peggy had three times as many quarters as nickels."
Whatever number of nickels she has, the number of quarters is 3 times as many.
Since she has n nickels, she has 3 times n quarters.
The number of quarters is 3n.
A nickel is worth $0.05, so n nickels are worth 0.05n.
A quarter is worth $0.25, so 3n quarters are worth 0.25(3n).
0.05n + 0.25(3n) = 1.60
0.05n + 0.75n = 1.6
0.8n = 1.6
n = 2
She has 2 nickels.
3n = 3(2) = 6
She has 6 quarters.
Answer:
D
Step-by-step explanation:
shows change over time
