Step-by-step explanation:
3x - y = 74
4y = x
Replace x in the first expression by 4y
3x - y = 74 ➡ 3(4y) - y = 74
12y - y = 74
11y = 74
y = 74/11 we can use this to find x
4y = x
4 × 74/11 = x
296/11 = x
Answer:
$24,960
Step-by-step explanation:
1. Find daily salary (12*8 hours = 96/day)
2. find weekly salary (96*5 days = 480/week)
3. find annual salary (480*52 weeks = 24,960/year)
The amount each friend should leave is $3.59 each
Answer:
{x,y,z} = {-18,4,2}
Step-by-step explanation:
Solve equation [2] for the variable x
x = -10y + 2z + 18
Plug this in for variable x in equation [1]
(-10y+2z+18) + 9y + z = 20
- y + 3z = 2
Plug this in for variable x in equation [3]
3•(-10y+2z+18) + 27y + 2z = 58
- 3y + 8z = 4
Solve equation [1] for the variable y
y = 3z - 2
Plug this in for variable y in equation [3]
- 3•(3z-2) + 8z = 4
- z = -2
Solve equation [3] for the variable z
z = 2
By now we know this much :
x = -10y+2z+18
y = 3z-2
z = 2
Use the z value to solve for y
y = 3(2)-2 = 4
Use the y and z values to solve for x
x = -10(4)+2(2)+18 = -18
Volume = length x width x height
V = 4 x 3 x 3
4 x 3 = 12
V = 12 x 3
V = 36 cubic cm.
1 cubic cm. = 1 ml.
36 cubic cm. x 12 compartments = 432 cubic cm.
432 cubic cm. = 432 cubic ml.
