Answer:
1a) 25, 1b) 3, 2a) 14, 2b) 4
Step-by-step explanation:
1a)
x/5 + 10 = 15
Subtract 10 from both sides:
x/5 = 15 - 10
x/5 = 5
Multiply both sides by 5:
x = 5 * 5
x = 25
1b)
25x + 26 = 101
Subtract 26 from both sides:
25x = 101 - 26
25x = 75
Divide both sides by 25:
x = 75/25
x = 3
2a)
Four less than a number is 10.
Let's call the number x. This means:
x - 4 = 10
Now add 4 to both sides:
x = 10 + 4
x = 14
2b)
The product of three and a number equals 12.
Let's call the number x. This means:
3 * x = 12
Now divide both sides by 3:
x = 12/3
x = 4
Let h equal the number of hours the electrician works.
We can write the equation like this:
90h + 60 = 600
Solve for h.
90h + 60 = 600
~Subtract 60 to both sides
90h + 60 - 60 = 600 - 60
~Simplify
90h = 540
~Divide 90 to both sides
90h/90 = 540/90
~Simplify
h = 6
Therefore, the electrician work for 6 hours.
The correct answer is Option 1.
Best of Luck!
1/4 + 1/10 = 5/20 + 2/20 = 7/20 = 0.35
5.25/0.35 = 15
15 bracelets
4) x=16
Vertical angles have equal angles when two lines intersect, which they do in this case.
3x-3=2x+13
Solve for x:
x=16
5) 34 degrees
Lines AK and MJ bisect each other perpendicually, so <ADJ is 90 degrees.
4x+3x-8=90
7x-8=90
7x=98
x=14
<CDJ=3x-8
=3(14)-8
=34 degrees
Hope this helps :)