Answer:
1/3
Step-by-step explanation:
To get no solution, you want to get rid of x and leave an incorrect equation.
In this case, we will use 1/3x.
1/3x + 2 = 1/3x - 3
We subtract 1/3x on both sides. This will cause the 1/3x's to cancel out.
1/3x - 1/3x + 2 = 1/3x - 1/3x - 3
2 ≠ -3
As we know, 2 is not 3. Therefore, there is no solution if 1/3x is used.
Answer and Explanation:
Gina wanted to swim at the pool. She is allowed to spend at most $30. The cost to swim in the pool is 3 dollars per hour plus a flat fee of $3. How many hours can Gina swim without going over her spending limit?
This problem can be represented by
.
'x' would be the number of hours. "At most" means less than or equal to. So, the value of x would have to be less than or equal to 30.

So, Gina would have a maximum of 9 hours to swim in the pool.
Hope this helps.
67.943
= 60.000 + 7.000 + 0.900 + 0.040 + 0.003
Questions 1, 2, 3, and 4 are exercises to give you practice with
common denominators. For each of these questions, change all
the fractions to common denominators, and the answers jump out at you.
#1). 5/12 = 25/60
2/5 = 24/60
Make um negative, and then you'll have the answer right away.
#2). The one that's negative is obviously the least.
Both positive ones must be bigger than the negative one.
For the positive ones:
2/5 = 6/15
2/3 = 10/15 .
Now it's easy.
#3). This is tough. The least common denominator is 2,520 !
It's probably easier to just do the divisions and get the decimals
for each fraction.
-5/8 = -0.625
-7/9 = -0.777...
-4/5 = -0.8
-3/7 = -0.428...
Now it's easy to line um up.
#4). Sneaky one.
Look closely at each fraction.
B, C, and D are all less than 1, so they're not between 1 and anything more than 1.
8/5 is the only one that's more than 1.
#5). A fraction is just a short way to write a division problem.
When you see a fraction, it means
"the top number divided by the bottom number" .
When you actually do the division, the quotient you get
is the decimal form of the fraction.
To change a decimal into a percent,
move the decimal point two places that way ==> .
The numbers in the boxes at the bottom of #5 are the correct numbers,
but they both should be negative. (because the -3/8 is negative)