Answer:
A + B = 24
16A + 20B = 434
Step-by-step explanation:
To write a system of equations for this scenario, let's say that A represents the number of hours machine A ran, and B represents the number of hours machine B ran.
The first equation will be:
A + B = 24
because the total number of hours ran is 24.
The second equation will be:
16A + 20B = 434
because the total number of items made is 434.
A + B = 24
16A + 20B = 434
First solve for one variable, and let's just do A.
Using the first equation, A + B = 24, A is equal to 24 - B.
Substitute this value to the second equation.
16 (24 - B) + 20B = 434
384 - 16B + 20B = 434
4B = 50
B = 12.5
Now use this value of B to find the value of A.
A + 12.5 = 24
A = 11.5
Machine A ran for 11.5 hours, and Machine B ran for 12 hours.
Answer:
-8
Step-by-step explanation:
i feel its correct
Answer:
D
Step-by-step explanation:
The area of a circle can be find with this formula:
radius^2 π
in this case we have the diameter, so we have to divide it by two
radius = 16 : 2 = 8 ft
area = 8^2 π
Answer: choice A) -4
-----------------------------------------------
Step 1) Draw a vertical line through 1 on the x axis
Step 2) Mark the point where the vertical line and the blue curve intersect (or cross each other)
Step 3) Draw a horizontal line through the point marked in step 2. Note how this horizontal line goes through -4 on the y axis.
So the point (1,-4) is on the blue curve. This means if x = 1 is the input then y = -4 is the output. Recall that y = f(x). So f(x) = -4 is the output as well when the input is x = 1.
In short, this is why f(1) = -4
Answer:
j = $1.67
Step-by-step explanation:
total cost minus cost of chips to find cost of juice alone
$36.39 - $2.99 = $33.40
total cost of juice divided by number of bottles (20)
$33.40 ÷ 20 = $1.67
