Solve using equations:
Gina 11 = a+b+c
Sam 27 = 2a+3b+2c
Robby 19= a+2b+2c
Gina *2 give 22=2a+2b+2c (subtract this from Sam to give)
b=5
the subtract Robby from Gina *2 to give a=3
[Question 1]
let d = number of dramas Gina rented, c = # of comedies, and t = # of documentaries:
[equation a] d + c + t = 11
[equation b] 2d + 3c + 2t = 27
[equation c] d + 2c + 2t = 19
if we subtract [a] from [c] we get:
[equation d] c + t = 8
if we subtract [c]*2 from [b] we get:
[equation e] -c - 2t = -11 or
[equation e] c + 2t = 11
Now we can subtract [e] from [d] to solve for t:
t = 3
Now put in 3 for t in [d] or [e] to solve for c:
c + 2(3) = 11
c + 6 = 11
c = 5
So she rented 5 comedies and 3 documentaries which leaves 3 dramas (which is answer A)
Answer:16 quarters and 3 dimes
Step-by-step explanation:
430/25 (Quarters) = 17
25x16
(Because you can’t have 17 since 25x17=425 leaving no room for dimes.)
=400
Now 430-400=30
30 more cent is needed,
30/10(Dime value)
Is 3, so the answer is the man has 16 quarters and 3 dimes
Answer:
-7, 7
Step-by-step explanation:
Opposites are basically two numbers that are at different sides of the number line. For example, -2 and 2 are opposites because they are the same distance away from 0 on a number line making them opposites. To make an opposite just take a positive number, and then add a negative to it. (8, -8)

Four points which lie at (0,0) ; (0,2) ; (2,2) ; (2,0)

What is the figure formed?What is the area of the figure?

The given points lie on graph as per the order given in the attachment.
Which shape?
As the points lie 2 units apart from their adjacent sides. It can be a square or rhombus.
The opposite pairs of sides are also parallel to each other. The adjacent sides of the figure formed are also perpendicular to each other.
<u>Hence! the figure formed is a square.</u>
What is the area?



