Answer:
8710 units
Step-by-step explanation:
<em>Step 1: Write all the data</em>
Fixed cost: $9000
Average variable cost: 9.3 per unit
Total cost: 90,000
Total units: x
<em>Step 2: Find the total variable cost</em>
Average variable cost is per unit so it has to be multiplied by the number of units to find the total variable cost.
Total variable cost = average variable cost per unit x number of units
Total variable cost = 9.3x
<em>Step 3: Make the formula for finding x</em>
Total cost = total fixed cost + total variable cost
90,000 = 9000 + 9.3x
81000 = 9.3x
x = 8709.67
Rounded off to 8710 units
!!
Answer:
495 cm
Step-by-step explanation:
Remark
When you do the subtraction, whatever is left (the decimal part) is the length in cm when multiplied by 100.
Solution
Remaining rope = starting length - what was used.
Remaining rope = 6.15 - 1.2
Remaining rope = 4.95 meters
Answer
The remaining rope = 4.95 * 100 = 495 cm
Answer:
x = - 8, x = - 4
Step-by-step explanation:
x² + 12x + 32 = 0 ← in standard form
(x + 8)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 8 = 0 ⇒ x = - 8
x + 4 = 0 ⇒ x = - 4
Answer:
Todd originally had 64 games; Jaylon had eight.
Step-by-step explanation:
If Todd has 56 games now, after having given eight games to Jaylon, Todd must have started with 64 games.
Let x = Jaylon's original games.
If Todd has <em>250 % more games</em> than Jaylon, he has <em>3.5 times as many </em>games as Jaylon.
Let x = Jaylon's original number of games. Then
x+ 8 = Jaylon's games now
∴ 56 = 3.5(x+8)
Distribute the 3.5 56 = 3.5x +28
Subtract 26 from each side 3.5x = 26
Divide each side by 3.5 x = 8
Jaylon originally had eight video games.
Check:
64 - 8 = 3.5(8 + 8)
56 = 3.5 × 16
56 = 56
