Which system of equations models the following problem if x represents the number of angelfish Nancy bought and y represents the
2 answers:
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Let s be the side length of the square. The dimensions of the rectangle are three times the side of the square (i.e. 3s), and two less than the side of the square (i.e. s-2).
So, the area of this rectangle is
The area of the square is , and we know that the two areas are the same, so we have
The solution s=0 would lead to the extreme case where the rectangle and the square are actually a point, so we accept the solution s=3.
Answer:
AJ picks 252 pounds
Step-by-step explanation:
Lets define the following letters for each name:
A is AJ
B is Blaze
L is Laurence
J is Jack
Now we will analyze the phrases one by one:
Blaze picks three times as many as Laurence means:
Jack picks twice as many as Blaze.
, ans using the previous one lets substitute B with 3 * L
Aj picks three times as many as Laurence.
The total weight of the oranges is 1092 pounds.
We replace A, B & J in the last equation, with the previous results:
, grouping using L as common factor:
, then isolating L:
pounds (for Laurence)
Finally replacing L in the previous equations:
pounds (for Aj)
pounds (for Blaze)
pounds (for Jack)