Answer:
4. = A
5.= D
6.= D
7.= B
8. skipped
9. = D
10.= D
Step-by-step explanation:
Answer:
Then the solution is (-1/4, 3)
Step-by-step explanation:
Start by eliminating the fractional coefficient 1/4: multiply all 3 terms in the second equation by 4. This results in equation (b), below:
4x - 3y = -10 (a)
4x = y -4 (b)
Substitute y - 4 for 4x in equation (a):
y - 4 - 3y = -10
Combining like terms, we get -2y = -10 + 4, or -2y = -6, or y = 3.
Since x = (1/4)y - 1, if y = 3, then x = (1/4)(3) - 1, or x = 3/4 - 1, or x = -1/4
Then the solution is (-1/4, 3)
The formula for a cone is 1/3 πr^2 * h.
1/3 * 3.14(6)^2 * 8
1/3 * 3.14(36) * 8
1/3 * 113.04 * 8
37.68 * 8
301.44
The volume is 301.44 cubic inches.
Answer:
Initial cost for a job = $2
Step-by-step explanation:
Let initial cost be $x.
Fixed amount for each copied page = $y
John:
Fixed amount for 425 pages = 425*y = 425 y
x + 425y = 10.50 ---------------(i)
Peter:
Fixed amount for 300 pages = 300 * y =300y
x + 300y = 8 ---------------------(ii)
Multiply (ii) by (-1) and add the both equation. Thus x will be eliminated.
(i) x + 425y = 10.50
(ii)*(-1) <u>-x - 300 y = - 8</u>
125y = 2.50
y = 2.50/125
y = $ 0.02
Plug in y value in equation (i)
x + 425*0.02 = 10.50
x + 8.50 = 10.50
x = 10.50 - 8.50
x = $2
