Solve the following problem. Round the one decimal place if necssary.
1 answer:
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Answer :
Length of rectangle = 14m
Width of rectangle = 12m
Explanation :
p = 2l + 2w = 68
l = w + 2
Substitute:
68 = 2(w + 2) + 2w
68 = 2w + 4 + 2w
4w = 64
w = 16
l = 18
I hope this helped out, have a nice day! :D
(P.s. Both taken from source)
Length of rectangle = 14m
Width of rectangle = 12m
Explanation :
p = 2l + 2w = 68
l = w + 2
Substitute:
68 = 2(w + 2) + 2w
68 = 2w + 4 + 2w
4w = 64
w = 16
l = 18
I hope this helped out, have a nice day! :D
(P.s. Both taken from source)
Let's call:
f = price of 1 cup of dried fruit
a = price of 1 cup of almonds
In order to build the linear system, you need to consider that the total price of a bag is given by the sum of the price of cups times the number of cups in each bag, therefore:
Solve for a in first equation:
a = (6 - 3f) / 4
Then substitute in the second equation:
41/2 f + 6 · (6 - 3f) / <span>4 = 9
41/2 f + 9 - 9/2 f = 9
16 f = 0
f = 0
Now, substitute this value in the formula found for a:
</span>a = (6 - 3·0) / <span>4
= 3/2 = 1.5
Hence, the cups of dried fruit are free and 1 cup of almond costs 1.5$</span>
f = price of 1 cup of dried fruit
a = price of 1 cup of almonds
In order to build the linear system, you need to consider that the total price of a bag is given by the sum of the price of cups times the number of cups in each bag, therefore:
Solve for a in first equation:
a = (6 - 3f) / 4
Then substitute in the second equation:
41/2 f + 6 · (6 - 3f) / <span>4 = 9
41/2 f + 9 - 9/2 f = 9
16 f = 0
f = 0
Now, substitute this value in the formula found for a:
</span>a = (6 - 3·0) / <span>4
= 3/2 = 1.5
Hence, the cups of dried fruit are free and 1 cup of almond costs 1.5$</span>