Answer:
Each bag originally had 35 pieces of candy
Step-by-step explanation:
Since the bags are identical, Let them Number of candies in each bag sue had be x. Thus, she had 5x candies. Since she lost 25 pieces, then she now has;
5x - 25 candies left.
We are told that Ted had 4 bags with the same number of candies like Sue had. Thus, he has 4x candies.
He mysteriously found 10 additional pieces. Total Ted now has is;. 4x + 10
Finally, we are told that Sue and Ted now have an equal number of candies.
Thus;
5x - 25 = 4x + 10
Rearranging, we have;
5x - 4x = 25 + 10
x = 35
Thus, each bag originally had 35 pieces of candy
Answer:
18/6=3
Step-by-step explanation:
18/6÷3=6/2
6/2=3
Answer: Lower left corner
A piecewise function is basically a combination of other functions to make one single function. We can break up the given piecewise function into two parts:
f(x) = x-4
OR
f(x) = -2x
The f(x) will change depending on what x happens to be. If x is 0 or smaller, then we go with f(x) = x-4. Otherwise, if x is larger than 0, then we opt for f(x) = -2x.
To graph this, we basically graph y = x-4 and y = -2x together on the same coordinate system. We only graph y = x-4 if x is 0 or smaller. Likewise, we graph y = -2x when x > 0. This results in the graph shown in the lower left corner of your four answer choices.
Note: the closed circle means "include this point as part of the graph". The open circle means "exclude this point as part of the graph". So this is why the upper right corner is very close but not quite the answer we want.
Answer:
d = -16
Step-by-step explanation:
Step 1: Write equation
89 = -5d + 9
Step 2: Solve for <em>d</em>
<u>Subtract 9 on both sides:</u> 80 = -5d
<u>Divide both sides by -5:</u> -16 = d
Step 3: Check
<em>Plug in x to verify if it's a solution.</em>
89 = -5(-16) + 9
89 = 80 + 9
89 = 89
