Let us assume that the time after which Brad will have the same number of key chains as Velma = x hours
We already know that
Number of key chains Brad can make in an hour = 4
Number of key chains that Velma can make in an hour = 3
So after x hours,
Number of key chains that Brad can make = 4x
Number of key chains that Velma can make = 3x
Number of key chains that Velma already has = 6
Then the equation will be
3x + 6 = 4x
4x - 3x = 6
x = 6
So, from the above deduction, we can conclude that after 6 hours Brad will have the same number of key chains as Velma.
Answer: A add the equations and C: Subtract the bottom equation from the top equation.
Step-by-step explanation: By adding the equations, you are left with
12x=8 which successfully eliminates the y values and subracting the bottom equation from the top equation.
Hope this helps! :)
Answer:
the square root of 91 lies between 9 and 10
Answer:
Let x represent the edge dimension of the square base in feet. Then the area of the base or lid is x², and the height of the box is 5/x². Total cost is then ...
... cost = cost of lid + 4×(cost of one side) + cost of bottom
... cost = 0.2x² + 4×(0.2x(5/x²)) + 0.5x²
... cost = 0.7x² + 4/x
We can differentiate this with respect to x and set that derivative to zero. This will give us the x-value at which the cost is a minimum.
... d(cost)/dx = 1.4x -4/x² = 0
... x³ = 4/1.4
... x = ∛(20/7) ≈ 1.419
Then the height of the box is
... height = 5/x² ≈ 5/2.01351 ≈ 2.483
The box is 1.491 ft square and 2.483 ft high.
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The average cost of the top and bottom is (0.2 +0.5)/2 = 0.35 per square foot. The overall cost will be minimized when the average cost of each face is the same. That is, the areas of the lateral faces will be equal and must be 0.35/0.2 = 1.75 times the area of the top or bottom to make the average cost of a lateral face equal to that of the top or bottom. Hence, the base will be square, and the box will be 1.75 times as high as it is wide or deep. The base edge dimension is then ∛(5/1.75) ≈ 1.419 ft.
Step-by-step explanation:
Given:
1970 price of dish washing detergent in a bottle : $0.50
CPI
1960 = 29.60
1970 = 38.80
1980 = 82.40
(82.40 - 38.80) / 38.80 = 1.124
1.124 x 100% = 112.4% rate of increase
$0.50 * 112.4% = $0.562 is the 1980 price of the dish washing detergent.