Answer:
Both statements are sufficient to answer the question
Step-by-step explanation:
Given:
- The paint mixture has following proportions:
Total volume of paint = T
Blue: x*T / 100
Green: y*T/100
Red: z*T/100
Find:
Statement 1: x = y
Statement: z = 60
Which of the above statement is sufficient to calculate the amount of green paint used
Solution:
Statement 1:
- The amount of blue paint used is:
1 gallon = x*T / 100
- x = y,
1 gallon = y*T / 100
Hence,
Amount of green paint used is 1 gallon
- The statement is sufficient
Statement 2:
- The amount of red paint used is:
3 gallon = z*T / 100
T = 300 / z = 300 / 60 = 5 gallons
T = R + B + G
G = T - R - B
G = 5 - 3 - 1
G = 1 gallons
Hence,
Amount of green paint used is 1 gallon
- The statement is sufficient
I am not 100% positive.
10 teams play every other ( = 5) once
10 x 5 = 50 games total
Answer:
<u>1. Nora and Lila be on the same page of the book after 6 days and a half.</u>
<u>2. Nora and Lila be on the page 180.</u>
Step-by-step explanation:
1. Let's check the information given to resolve the question:
Current page of the novel that Nora is reading now = 128
Pages per day Nora reads = 8
Current page of the novel that Lila is reading now = 102
Pages per day Lila reads = 12
Days ahead for Nora and Lila will be on the same page = x
2. After how many days of reading will Nora and Lila be on the same page of the book?
128 + 8x = 102 + 12x
8x - 12x = 102 - 128 (Subtracting 12x and 128 at both sides)
-4x = -26
x = 6.5
<u>Nora and Lila be on the same page of the book after 6 days and a half.</u>
<u>3.</u> What page will they be on?
Nora : 128 + 8 (6.5) = 128 + 52 = 180
Lila : 102 + 12 (6.5) = 102 + 78 = 180
<u>Nora and Lila be on the page 180</u>
Answer:
x = -1/2
Step-by-step explanation:
To solve the equation, we first need to combine like terms:

Simplify further:

Divide by -12 on both sides to get:

To check the solution, plug x back into the original equation and check if we get the correct answer:



Thus, it checks out and our answer is correct.