So.. .at the beginning of the sale, there was a total of "x" pies
now, let's see what happened to those pies

so, we had "x"
then Mary took 2, she left x - 2
Kate took half of that (x-2)/2
then 10 were sold, and 14 leftover
if we subtract all those figures, and solve for "x",
we should get what "x" was, so

notice, if we subtract what Mary took, and Kate, and the sold and leftover, from the original "x", we would end up with no pies :)
so.. just solve for "x"
Answer:
Find the slopes; 123 servings
Step-by-step explanation:
When you look at the graph and table, find out which ones have a slope of 1/2
To find slope you have to use this equation

So for each graph and table, calculate the slope using that formula :)
For the second question,
For every 10 students, the amount of juice dispensed was
7*4 + 3*8 = 52
So divide 52 by 10 to get 5.2
Then divide the total amount of juice (640) by 5.2 and that rounds to about 123 servings of juice
We have (30/100)x200 = 6000/100 = $60;
Answer:
j² - 5j²k - 2
Step-by-step explanation:
3j² - j²k - 6 - 4j²k - 2j² + 4
To simplify this polynomial, we can collect like terms. A term is number(s) or variable(s) that are grouped together by multiplication. <u>Like terms have the same variable and exponent</u>.
We have three groups of like terms:
The j-squares (j²), the j-squared k (j²k) and the constants (no variable).
Remember to include the negatives!
The j-squares are: 3j² ; -2j²
The j-squares k are: - j²k ; - 4j²k
The constants are: - 6 ; 4
Simplify:
3j² - j²k - 6 - 4j²k - 2j² + 4
Rearrange the polynomial by like terms
= (- j²k - 4j²k) + (3j² - 2j²) + (- 6 + 4)
Add or subtract the like terms
= (-5j²k) + (j²) + (-2)
Remove brackets and rearrange so the negative is not first
= j² + - 5j²k + - 2
Simplify where two signs are together. Adding a negative is subtraction.
= j² - 5j²k - 2 Simplified
There are three significant figures in 4.02