Answer:
The expression that shows how long the two machines will operate simultaneously is:

Step-by-step explanation:
We know that:
x: hours to manufacture a deck of cards for machine A
y: hours to manufacture a deck of cards for machine B
z: hours that machine A operates alone
The number of decks manufactured only by machine A is:

So, the remaining decks are given by:

Then, the combined rate of machines A and B would be:

The work-rate formula is:

Hence, the time that the two machines work simultaneously is:


Step-by-step explanation:
X had 300
Y had 100
for you

x=the number of months
So the "7x" is the $7 per month, and the "10" is the $10 for each CD being ordered. It can't be more than 100, so the "less than or equal to" sign will be used.
Answer:
a=6
Step-by-step explanation:
write the equation as y=mx+b
y=-5/3x+b
solve for b
1=-5/3*-3+b
1-5=b
b=-4
Plug in -14 and solve for x
-14=-5/3x-4
-10=-5/3x
30/5=x
x=6 (x is basically a because a is the x coordinate)
Answer:
The ratio of circumference of circle and diameter of circle is π
B is correct
Step-by-step explanation:
The radius of a circle is 6.
We need to find the ratio of circumference of circle and diameter
Circumference of circle = 2πr
C = 12π
Diameter of circle = 2r
D = 12
Substitute 12 as D
Now we find the ratio of circumference and diameter
Hence, The ratio of circumference of circle and diameter of circle is π