I need help with m-3 over 4 = m-3 over 5
1 answer:
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Answer:
A.
B.
Step-by-step explanation:
A. The area of the shaded region = area of the whole large square - area of the 4 smaller squares
= (5x*5x) - 4(4*4)
Area of shaded region =
B. The expression, , is the difference of two perfect squares, 25x² and 64. Therefore, apply the rule of factoring difference of two perfect squares.
Thus,
Therefore, the expression of the are of the shaded region can be expressed in factored form as:
Cost of walnuts = 45 cents per pound
Weight of walnuts in mixture = x pounds
So, total cost of walnuts in the mixture = 45x
This gives the cost in cents. The cost in dollars will be = 0.45x
Cost of pecans = 60 cents per pound
Since total weight of the mixture is 90 pounds. The weight of pecans in the mixture will be (90 - x) pounds.
So, total cost of pecans in the mixture will be = 60 (90 - x)
This gives the cost in cents, the cost in dollars will be = 0.6 (90 - x)
x pounds of walunts and (90-x) pounds of pecans are mixed to produce a mixture to sell at 55 cents per pound. So,we can set up the equation for this case as:
Cost of Walnuts + Cost of Pecans = Cost of Mixture
Using this equation, we can find the weight of walnuts, using x we can also find the weight of pecans. From weights we can then calculate the cost of walnuts and pecans used in the mixture.
Weight of walnuts in mixture = x pounds
So, total cost of walnuts in the mixture = 45x
This gives the cost in cents. The cost in dollars will be = 0.45x
Cost of pecans = 60 cents per pound
Since total weight of the mixture is 90 pounds. The weight of pecans in the mixture will be (90 - x) pounds.
So, total cost of pecans in the mixture will be = 60 (90 - x)
This gives the cost in cents, the cost in dollars will be = 0.6 (90 - x)
x pounds of walunts and (90-x) pounds of pecans are mixed to produce a mixture to sell at 55 cents per pound. So,we can set up the equation for this case as:
Cost of Walnuts + Cost of Pecans = Cost of Mixture
Using this equation, we can find the weight of walnuts, using x we can also find the weight of pecans. From weights we can then calculate the cost of walnuts and pecans used in the mixture.