X=12, y=7.5
Here is an explanation if you want to know how to do it:
First, look at the diagram and think about what you know so far. Since the lines are parallel, 5x+4y and 12y must be equal. We also know that there is a right angle, so since both angles are equal, 12y=90 and 5x+4y=90.
Solve for y by dividing 90 by 12 to get 7.5, so y=7.5. Sub in this value to the equation on top and you should get 5x+4(7.5)=90 4(7.5)=30, so subtract that from 90 to get 60 and divide 60 by 5 to get 12, so x=12.
Answer: He ended up with about 1 pound less grapes
Step-by-step explanation:
2 bags of grapes weighing 5 and two-thirds pounds each will give a total weight of:
= 2 × 5 2/3
= 2 × 17/3
= 34/3
= 11 1/3 pounds
3 bags weighing 4 and one-fifth pounds each, will give a weight of:
= 3 × 4 1/5
= 3 × 21/5
= 63/5
= 12 3/5
He ended up buying lesser grapes. This was about 12 3/5 - 11 1/3 = 1 4/15 less. This means that he ended up with about 1 pound less grapes
Is there a picture we can look at ?
The parameter of a rectangle can be alculated using the following rule:
parameter = 2(length + width)
from the givens:
length = 13 inches
width = 10 inches
so, just substitute with the givens in the equation to calculate the parameter:
parameter = 2(10+13) = 2*23 = 46 inches
