Answers:
8. 12x+3= 27
move 3 to the other side , sign changes from +3 to -3
12x+3-3=27-3
12x= 24
divide by 12 for both sides
12x/12=24/12
x= 2
9. 6(y-10)=42
mutiply the bracket by 6
(6)(y)(6)(-10)= 6y-60
6y-60= 42
move -60 to the other side, sign changes from -60 to +60
6y-60+60=42+60
6y=102
divide by 6
6y/6=102/6
y=17
10. 9x-2=4x+13
move +4x to the other side
9x-4x-2= 4x-4x+13
5x-2= 13
5x-2+2= 13+2
5x= 15
divide by 5 for both sides
5x/5= 15/5
x= 3
11. 4/3y+5/2y= 1
find the common denominator for both of the fractions which is 6.
Mutiply by 2 for 4/3y .
4(2)/3(2)y=8/6y
Mutiply by 3 for 5/2y
5(3)/2(3y)= 15/6y
8/6y+15/6y= 23/6y
23/6y= 1
Mutiply both sides by 6/23
23/6y(6/23)= 1 (6/23)
Cross out 6 and 6 , divide by 6 and then becomes 1.
Cross out 23 and 23, divide by 23 and then becomes 1.
1*1*y=y
y= 6/23
100 and 110.
You would have to add 100 to both sides. This is because to complete the square, you need to take half of the x term and square it.
Answer: 21
Step-by-step explanation
5 1/4 divided by 1/4
u simplify 5 1/4 =21/4
1/4=0.25
21/4 divided by 1/4 is 21
Jon spend 56 minutes in reading
<h3>What is Unitary Method?</h3>
Unitary method is a process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
Jon spent 1 hour 17 minutes less than Camden
Camden spent 47 minutes less than Pete.
Pete spent 3 hours reading.
Since, pete spent 3 hours. So, Camaden spent
= 3 hours or (180 minutes) - 47 minutes
= 2 hours 13 minutes.
Now, Jon spent = 2 hrs 13 minutes - 1 hour 17 minutes
= 56 minutes
Learn more about unitary method here:
brainly.com/question/22056199
#SPJ1
Answer:
D
Step-by-step explanation:
On the way that this question is worded you would choose anything that would go up to 35 and anything below 35. Hope this helps you :)