We know that t is the number of hours Isabel worked as a tutor, and that she worked for a total of 93 hours. This means that the number of hours she worked as a waitress is 93 - t hours.
Now, for each of the t hours she worked as a tutor, she earned $8, so the total amount Isabel earned from that job is 8t dollars.
For each of the 93 - t hours Isabel worked as a waitress, she earned $9, so the amount she earned from her job as a waitress is 9(93 - t) dollars.
Therefore, the total amount she earned is 8t + 9(93 - t) dollars. This can be simplified to 837 - t dollars.
This is a fairly tedious problem. The only way to solve that I see is to simply list out all the possible cases and go through each one by one. You'll use the triangle inequality theorem to see if the triangles can be formed. The theorem says that a+b > c must be true for all sets of pairs. In other words, take any two sides and add them up. The sum must be greater than the third side.
Going through all the combos possible (that I could find), this is what I got
Blue9,Green7,Orange4
Blue9,Green7,Purple12
Blue9,Green7,Red3
Blue9,Green7,Yellow5
Blue9,Orange4,Purple12
Blue9,Purple12,Yellow5
Green7,Orange4,Yellow5
Green7,Red3,Yellow5
Orange4,Red3,Yellow5
In all, I count 9 cases. So the answer to problem 1 is 9.
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For problem 2, the best way may be to pick two segments at a time instead of one. However, I have a feeling that will take just as long as the first method. I haven't tried it out. Even though going through the rods one at a time takes a while, it's probably the best option so you don't overlook any cases.
Answer:
22(c)
Step-by-step explanation:
Our current proportion is
15 miles
-------------
1 hour
We need feet per second.
Lets convert!
15 miles= 79200 feet(used googl to find this)
1 hour=3600 seconds(also used googl to find this)
( i know its not spelled that way brainly wont let me write the whole word out)
Now, our proportion is:
79200 feet
-----------------
3600 seconds
HOWEVER, this can be simplified!!!!
79200/3600=22
Final answer: 22, or C.
Answer:
A is true
Step-by-step explanation:
If you convert all answers to have a like denominator to their counterparts, only a comes out to be true.
Part 1- B, on the X axis.
Part B- A, the answer is one real root, and one non-real root.