The error is that the graph is moving up two and over one. Basically using the slop 2/1 instead of 1/2. The slope is rise/run, so it should rise up 1 unit and run 2 units to the right.
Answer:
6 7/8 pints
Step-by-step explanation:
The amount of water in a barrel decreases 9 5/8 pints in 7 weeks. The water decreases the same amount each week. What is the change in the amount of water in pints in the barrel in 12 weeks?
From the question, we know that:
7 weeks = 9 5/8 pints
12 weeks = x
Cross Multiply
7x = 12 × 9 5/8
x = 12 × 9 5/8/7
x =( 12 × 77/8 ) ÷ 7
x = 12 × 77/8 × 1/7
x = 12 × 11/8
x = 16 1/2 pints
The change in the amount of water in pints in the barrel in 12 weeks is calculated as:
16 1/2 pints - 9 5/8 pints
Lowest common denominator = 8
7 + (4 - 5/8)
7 + (-1/8)
= 6 7/8 pints
Answer:
Number of messages sent by Chau = 15
Number of messages sent by Kareem = 4 * 15 = 60
Number of messages sent by Jessica = 15 - 6 = 9
Step-by-step explanation:
Let number of messages sent by Chau = c
Number of messages sent by Kareem = 4 times as Chau
= 4 * c = 4c
Number of messages sent by Jessica = 6 fewer messages than Chau
= c - 6
Total messages = 84
<u>c + 4c + c</u> - 6 = 84 {Combine like terms}
<u>6c</u> - 6 = 84 {Add 6 to both sides}
6c = 84 + 6
6c = 90 {Divide both sides by 6}
c = 90/6
c = 15
Number of messages sent by Chau = 15
Number of messages sent by Kareem = 4 * 15 = 60
Number of messages sent by Jessica = 15 - 6 = 9
Factor the numerator to get:
(-3z(z+5))/(z+5) now you notice that (x+5) cancel out leaving:
-3z
