Answer:
there were a total of 55 people at the party.
Step-by-step explanation:
In order to create the equation representing this scenario we first need to represent each step in a formula. Since the total number of people is represented by x we can multiply 3/5 by x and subtract 9 from that. This would then be equal to 24 like so...
3/5x - 9 = 24
Now that we have the formula we can perform opposite operations to isolate x and solve for it.
3/5x - 9 = 24 ... add 9 on both sides
3/5x = 33 ... divide both sides by 3/5
x = 55
Finally, we can see that there were a total of 55 people at the party.
To evaluate two fractions being divided, you must turn the right fraction into a reciprocal. That means you must put the bottom number at the top and then put the top number on the bottom (you’re basically switching them).
8/13 / 3/2
Now, once you turned the other number into a reciprocal, you multiply across. The top number times the other top number and do this to the bottom numbers, too.
8/13 * 3/2 = 24/26
You found the answer, 24/26. But as you can see, it’s not one of the choices. That’s because you need to simplify.
24/26 / 2/2 = 12/13
12/13 is your answer, or choice C!
I hope this helped. Comment below if you have any questions.
To solve this, subtract 2 from both sides, and you end up with x = 8. :)
Answer:
False
Step-by-step explanation:
|x+y| = |x| + |y|
To show this is false, all we have to do is find one example where it is false
Let x = -1 and y = 4
|-1+4| = |-1| + |4|
|3| = |1| + |4|
3 = 5
This is false so we have a set of integers where the statement is not true