Step-by-step explanation: Given that the coffee counter charges $11.00 per pound for kenyan french roast coffee and $13.00 per pound for sumatra coffee. We are to find the quantity of each type that should be used to make a 26 pound blend that sells for $12.00 per pound.

Let 'x' pound and 'y' pound of kenyan french roast coffee and sumatra coffee be used in the mixture of 26 pound.

So, we have

$x+y=26,~~~~~~~~~~~~~~~~~~~~~~(A)\\\\11x+13y=12\times 26.~~~~~~~~~~(B)$

Multiplying equation (A) by 11 and subtracting from equation (B), we have

$13y-11y=12\times26-11\times26\\\\\Rightarrow 2y=26\\\\\Rightarrow y=13,$

and from equation (A),

$x=26-13=13.$

Thus, 13 pounds of each type of coffee should be used.

8 0

2 years ago

Write an equation for a like that is parallel to the given point. Explain how you found the equation.

pishuonlain [190]

Answer:

The line would be y = 2x + 5

Step-by-step explanation:

To find a parallel line, we first need to note that the slope of the original line is 2. This means the slope of our new line will also be 2 because parallel lines have the same slope.

So we use the slope we found along with the point given in point-slope form. Then we solve for y.

y - y1 = m(x - x1)

y - 11 = 2(x - 3)

y - 11 = 2x - 6

y = 2x + 5

7 0

2 years ago

Renauld has to pay 2 percent in closing costs and 14 percent for the down payment on a purchase of $170,500. Over the life of hi

melamori03 [73]

Renaud has to pay 2 percent + 14 percent = 16 percent initial costs

We can establish a proportion:

If 100% is => $170,500

Then 16% => $C costs

$C = 16 x $170,500/100 = $27,280 initial costs

Total cost = $163,021.87 + $27,280 = $190,301.87

Answer : C.) $190,301.87

$\textit{\textbf{Spymore}}$

5 0

3 years ago