<span>B. 16 quarts of the 2% milk and 24 quarts of the 7% milk
First, let's create an equation to solve.
x = quarts of 2% milk
(40-x) = quarts of 7% milk
So we have the equation
x*2 + (40-x)*7 = 40*5
Now to solve for x
x*2 + (40-x)*7 = 40*5
x*2 + 7*40 - 7*x = 40*5
x*2 - 7*x = 40*5 - 7*40
-5*x = - 2*40
x = 2*8
x = 16
So we need 16 quarts of 2% milk and 40-16 = 24 quarts of 7%, which matches option "B".</span>
Answer:
696 large bags of flour were packed.
Step-by-step explanation:
Let large bags of flour be 'y'
Let small bags of flour be 'x'. That is x=2040 (according to the question)
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Answer:
Step-by-step explanation:
First, the profit formula:
PROFIT= TOTAL REVENUE - TOTAL COST
Next, note the points:
- Without Advertisement, Q = 6,000 where Q is quantity supplied
- A formula that gives the total profit P in dollars must take into account that 100cents = 1dollar
- Here, only a dollar is spent on advertisement, hence, Q = 6005
- Advertising expenses have been accounted for and [P = 9cents × Q] where Q is quantity sold.
- 9 cents = 0.09 dollars
TOTAL PROFIT FORMULA = 0.09Q - 500
Answer:
y = 2x - 3
Step-by-step explanation:
y = mx + b
m = (y2-y1)/(x2-x1)
m = (3-(-3))/(3-0)
m = 6/3
m = 2
y = mx + b
y = 2x + b
3 = 2(3) + b
3 = 6 + b
b = -3
therefore
y = 2x - 3
Answer:
Step-by-step explanation:
4). This is an exponential function.
5). Let the equation of this function is,
f(x) = a(b)ˣ
Since, two points (-1, 4) and (0, 6) are lying on the graph of the function,
For (-1, 4),
4 = a(b)⁻¹
4 = 
--------(1)
For (0, 6),
6 = a(b)⁰
a = 6
From equation (1),
4 = 
b = 
= 1.5
Therefore, equation of the function will be,
f(x) = 6(1.5)ˣ
6). Now the value of f(-4) will be,
f(-4) = 6(1.5)⁻⁴
= 1.185
