Answer:
Step-by-step explanation:
x + 3y = 24.....multiply by -1
5x + 3y = 36
------------------
-x - 3y = -24 (result of multiplying by -1)
5x + 3y = 36
------------------add
4x = 12
x = 12/4
x = 3 <=======
x + 3y = 24
3 + 3y = 24
3y = 24 - 3
3y = 21
y = 21/3
y = 7 <========
Answer: y=38
x=38
z=109
Step-by-step explanation:
because
Answer:
1/3
Step-by-step explanation:
If 6/18 of the cartons are vanilla that means that those are the odds of you picking a vanilla at random
6/18=1/3
Answer:
there is no greatest load
Step-by-step explanation:
Let x and y represent the load capacities of my truck and my neighbor's truck, respectively. We are given two relations:
x ≥ y +600 . . . . . my truck can carry at least 600 pounds more
x ≤ (1/3)(4y) . . . . . my truck carries no more than all 4 of hers
Combining these two inequalities, we have ...
4/3y ≥ x ≥ y +600
1/3y ≥ 600 . . . . . . . subtract y
y ≥ 1800 . . . . . . . . multiply by 3
My truck's capacity is greater than 1800 +600 = 2400 pounds. This is a lower limit. The question asks for an <em>upper limit</em>. The given conditions do not place any upper limit on truck capacity.
Answer:
$4.257
Step-by-step explanation:
Given:
Items delivered per hour = 14
Fixed hourly costs = $47
variable cost = $0.90
Now,
at breakeven point, the profit = 0
or
Total revenue = total cost
let the charge at breakeven point be 'x'
thus,
x × 14 = $47 + ($0.90 × 14)
or
x × 14 = $47 + $12.6
14x = $59.6
or
x = $4.257
Hence, the breakeven charges are $4.257
