Hey there!☺
(-∞, 5)
You need to convert the inequality as an interval notation.
as interval notation would be written like this:
(-∞, 5)
Hope this helps!
I need help please :( !!!
1 answer:
Number of cans donated the first week = 132
Number of cans donated the second week = 146
Number of cans donated the third week = c, where c is some positive number
Add up the three values (132, 146, and c) to get 132+146+c. I'm choosing not to simplify because each answer choice hasn't simplified either.
The expression of 132+146+c represents the total amount of cans donated for weeks 1 through 3. We want "at least 325 cans", so that means the expression is 325 or larger. That translates to this inequality
The "greater than or equal to" sign indicates we want that sum to be 325 or larger.
Now we solve for c
So the amount of cans donated for week three needs to be 47 or larger. If you collect exactly 47 cans for week three, then you meet the goal of 325 total cans. If you collect more than 47 cans for week three, then you exceed the goal of 325 total cans.
------------------------------------
In summary we have the inequality
which solves to
Meaning that the answer is choice D
Number of cans donated the second week = 146
Number of cans donated the third week = c, where c is some positive number
Add up the three values (132, 146, and c) to get 132+146+c. I'm choosing not to simplify because each answer choice hasn't simplified either.
The expression of 132+146+c represents the total amount of cans donated for weeks 1 through 3. We want "at least 325 cans", so that means the expression is 325 or larger. That translates to this inequality
The "greater than or equal to" sign indicates we want that sum to be 325 or larger.
Now we solve for c
So the amount of cans donated for week three needs to be 47 or larger. If you collect exactly 47 cans for week three, then you meet the goal of 325 total cans. If you collect more than 47 cans for week three, then you exceed the goal of 325 total cans.
------------------------------------
In summary we have the inequality
which solves to
Meaning that the answer is choice D
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Answer:
a)
S+G=525
G=S+75
b) See attached pictures
c) S=$225 and G=$300
The point where both graphs meet each other is the point where both equations will be true when having the same S and G values. This is, this is the point where both conditions given by the problem are the same.
Step-by-step explanation:
a) For the first part of the problem, the addition of both amounts will give us the total, so the first equation is:
S+G=525.
On the second equation we need to add 75 to sharon's amount to figure Geordi's amount, so we get:
G=S+75
b) In order to graph the system of equations, we need to find two points for each of the equations. It would be a good idea to solve the first equation for g, so our system of equations would be:
G=525-S
G=S+75
First Equation:
You can pick any value you like for S, for example: S=0 and then substitute it into the equation to get te first G-value:
G=525-0
so G=525.
So the first ordered pair would be (0,525)
You can do the same with a different S-value to get a second point to plot:
S=100
G=525-100
G=424
so the second ordered pair would be (100,424)
and now you can plot the points on the graph and connect them with a straight line.
See attached picture.
Second Equation:
The same procedure is followed for the second equation, in this case I used the same S-values, but you can use different values if you wish, so the two points to plot were:
(0,75)
(100,175)
and the graph looks like the one attached.
c)
In order to figure out how much each person earned, we need to find the point where the two graphs meet each other (see attached picture) in this case the point will be located at (225,300)
This means that Sharon earned a total of $225 while Geordi earned a total of $300.
S=$225 and G=$300
The point where both graphs meet each other is the point where both equations will be true when having the same S and G values. This is, this is the point where both conditions given by the problem are the same.
