Answer:
6
Step-by-step explanation:
As you might know, the two lines surrounding the -4 represent the absolute value, which is basically the distance from 0, and the distance is always positive. To clear any confusion, the absolute value of positive number will not be it's opposite because remember, distance is always positive, so absolute value is always positive (because it is basically the distance from zero).
To help, here is an example (that is not related to the problem!):
|-6| = 6
|6| = 6
<em>Now, back to the problem...</em>
Since you now know that the absolute value is always positive, |-4| would equal 4. So now you have:
4 - 8 + 10 = ???
From here, you can just solve and the answer is 6, so:
4 - 8 + 10 = 6
You final answer is 6.
Hope this helped somehow :D
Jenny won the race as she finished the race much more quickly and has greater average speed than Lester.
Jenny: distance/time = 100/15.2 = 6.58 m/s = 6.6 m/s
Lester: distance/time = 100/15.7 = 6.37 m/s = 6.4 m/s
Using a system of equations, it is found that there are 5 dimes and 9 quarters in his pocket.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given as follows:
- Variable x: number of dimes in his pocket.
- Variable y: number of quarters in his pocket.
He has a total of 14 coins, hence:
x + y = 14 -> y = 14 - x.
They are worth $2.75, hence, considering the value of each coin(dimes $0.1 and quarters $0.25), we have that:
0.1x + 0.25y = 2.75
Since y = 14 - x:
0.1x + 0.25(14 - x) = 2.75
x = (0.25*14 - 2.75)/0.15.
x = 5.
y = 14 - x = 14 - 5 = 9.
There are 5 dimes and 9 quarters in his pocket.
More can be learned about a system of equations at brainly.com/question/24342899
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Answer:
x=-12
Step-by-step explanation:
32+2x=6+x+14
2x-x=6+14-32
x=-12
ST=6
TU=-12+14=2
SU=6+2=8
