Answer:
x = 5 /2 , y = 9 / 8
Step-by-step explanation:
x = 4y - 2 ....... (i)
x + 4y =7 ....... (ii)
Substituting eqn (i) into eqn (ii);
(4y - 2 ) + 4y = 7
4y - 2 + 4y = 7
8y = 7 + 2 = 9
y = 9 / 8
substitute y = 9 / 8 in eqn (i)
x = 4 (9 / 8) - 2
x = 9 / 2 - 2
x = (9 - 4 ) / 2
x = 5 / 2
Answer:
2
Step-by-step explanation:
Let's plug in the given values into the equation:
p-2q+4r=-2-2(8)+4(5)=-2-16+20=-18+20=2
First we need to know both the formula of A and B.
The formula of A is
C = 5 + 0.25p
with C representing total cost and p representing the amount of checks.
The formula of B is
C = 6 + 0.15p
with C representing total cost and p representing the amount of checks.
To find the point where A and B cost the same, we solve the following equation:
5 + 0.25p = 6 + 0.15p
Collecting terms gives us
-1 = -0.1p
Now we have to divide by -0.1 and we get.
10 = p
p = 10
So our answer: after 10 checks both accounts cost the same amount of money. Answer A.
Answer:
The ratio of their volumes is: 
Step-by-step explanation:
If the cones are similar, then the ratio of their heights should equal the ratio of their radiuses. If we call R the radius of the larger cone (the one of height 9 cm) and r the radius of the smaller cone (the one of height 4 cm), then the following proportion should be verified:

where we have solved for "R" in terms of "r".
Now we input this information in the formula for the volume (V) of the largest cone, and for the volume (v) of the smaller cone, recalling that the volume of a cone is the product of the area of the cone's circular base (
).

So now the ratio of their volumes (V/v) can be obtained:

4.5*5= 22.5.....
I know this because it took carl 4.5 minutes and u asked how long would it take me to print the same document in a show 5 printers so I multiplied it