Answer:
Catherine's sister ate 2/15 gallons of the ice cream.
.
Step-by-step explanation:
Let 
be the amount of ice cream that Catherine's sister ate, in gallons.
- Original amount: 1 gallon.
- What Catherine ate:
gallons. - What Catherine's sister ate is assumed to be gallons.
- What's left:
gallons.
Consider the relationship:
.
That is:
.
Add to both sides of this equation:
Substract from both sides:
.
Convert the denominator of all three numbers on the left-hand side to 
.
.
In other words, Catherine's sister ate gallons of the ice cream.
The inequality using variables x and y which satisfy the points are; y>-3x+3.
<h3>What is inequality?</h3>
Inequality is defined as the relation which makes a non-equal comparison between two given functions.
Given that the points (2,5) and (-3,-5) lie on the boundary line.
The system of inequality is given by:
y>-3x+3-
Now, the point that will lie in the solution set to the following system of inequality are the point that satisfies the inequality.
a) (6, 5)
when x=6 and y= 5
then we have:
y>-3x+3
6 > -3×5 + 3
6>- 15+3
5 > -12
This means that the point will lie in the solution set.
Also, (-2, -3) when x= -2 and y= -3
then we have:
5 > -3×(-2) + 3
5> 6 + 3
5> 9
Hence, the inequality using variables x and y which satisfy the points are; y>-3x+3.
Learn more about inequality ;
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1/4 as a decimal is 0.25 (divide one by four). You can also multiply 1/4 by 52, but converting it into a decimal is typically easier.
"Of" typically means multiply, so multiply 52 * 0.25 to get the product 13.
For Option A., solve for 0.25 * 52, the final result should be 13.
For Option B., convert 4% into a decimal by dividing 4 over 100, you will get 0<span>.04, multiply 0.04 * 52 to get 2.08.
</span>
For Option C., divide 52 by 4, the quotient should be 13.
For Option D., 52 over 4 is another way to write 52 divided by 4, therefore, the answer, once again, is 13.
When comparing all the answers, you will notice all the answers are equal, except option B.
2.08 is not equal to 13
Therefore, your answer is <u>B. 4% of 52</u>
Answer:
A. The greatest one year increase in tuition ocurred from 1997 to 1998.
Step-by-step explanation:
If you look at the graph, at the points above 1997 and 1998, you'll see that the dots are separated by two lines, not just one.
