Answer:
84 students
Step-by-step explanation:
100 - 16 = 84
The time it takes them working together to paint the room is 3.08 hours
<h3>Rational expression</h3>
Rational expression are equation written as a ratio of two expressions or equations.
If Wes can paint a certain room in 8 hours, she can paint 1/8 of the room in 1 hr
Similarly, if Sally can paint the same room in 5 hours, , she can paint 1/5 of the room in 1 hr
Determine the time it takes them to paint the room altogether.
Time together = x
Using the expression below to determine the value of x
1/x = 1/8 + 1/5
1/x = 5+8/40
1/x = 13/40
x = 40/13
x = 3.08
Hence the time it takes them working together to paint the room is 3.08 hours
Learn more on rational expression here; brainly.com/question/2264785
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1/5(x-2)=1/10(x+6)
Distribute and multiply first
(1/5*x) -(1/5*2)=(1/10*x) +(1/10*6)
1/5x-2/5=1/10x+6/10
We do not have the same denominators on both sides. 5 goes into 10 two times so we will multiply everything on the left by 2 to get a common denominator.
2/10x-4/10=1/10x+6/10
Subtract 1/10x from both sides
1/10x-4/10=6/10
Add 4/10 to both sides
1/10x=10/10
1/10x= 1
Multiply both sides by 10/1 (the fraction inverse) to get rid of the fraction.
(10/1)(1/10x) =(1)(10/1)
x= 10
Check work:
1/5(x-2)=1/10(x+6)
Substitute your answer for x
1/5(10-2)=1/10(10+6)
1/5(8)=1/10(16)
8/5=16/10
Simplify 16/10 by dividing by 2
8/5=8/5
Hope this helps!! :)
5/6 + 1/3
To add both sides need the same denominator. To give he fractions a common denominator, multiply the second fraction (1/3) by 2.
5/6 + 2/6
Add the numerators
7/6
Change into mixed number
1 and 1/6
I hope this helps, feel free to ask any questions you may have
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