Answer:
- 1. C, 2. B, 3. A, 4. C, 5. A, 6. - 7. C, 8. A, 9. (3, 13)
Step-by-step explanation:
<h3>Question 1</h3>
- 4p + 7 = 3 + 4 + 4p
- 4p + 7 = 4p + 7
Both sides are equal, so any value of p makes it right. It means there are infinitely many solutions
<h3>Question 2</h3>
2(3x − 4) = 8 + 2x + 4
Step 2 was wrong, it should be 6x - 8 = 12 + 2x
<h3>Question 3</h3>
- 3/(4z) - 1/(4z) + 3 = 2/(4z) + 5
- 2/(4z) + 3 = 2/(4z) + 5
- 3 = 5
It ends up with false equation, so no solution.
<h3>Question 4</h3>
- 1.6m − 4.8 = −1.6m
- 1.6m + 1.6m = 4.8
- 3.2m = 4.8
- m = 4.8/3.2
- m = 1.5
<h3>Question 5</h3>
Line C: y = x + 14
Line D: y = 3x + 2
- x+ 14 = 3x + 2
- 3x - x = 14 - 2
- 2x = 12
- x = 6
Solution is (6, 20), this is the intersection of lines
<h3>Question 6</h3>
- It should have a graph attached, so ignored
<h3>Question 7</h3>
- b - 2 - 3b = 16 ⇒ -2b = 18 ⇒ b = - 9
Solution is (a, b) = (- 11, - 9)
<h3>Question 8</h3>
Easy method is substitution: w + 2 = 7w - 16
<h3>Question 8</h3>
<u>Easy method is substitution:</u>
- 7x - 8 = 5x - 2
- 7x - 5x = 8 - 2
- 2x = 6
- x = 3
- y = 7*3 - 8 = 21 - 8 = 13
- The point (3, 13) is the solution and it is the intersection of the lines.
The answer is 75%. To find this answer, you add 57 and 19 to get the total workers which is 76. Then, you find the percentage of 57 out of 76. 57 divided by 76 is .75, bu to get the percent, you have to move the decimal two places to the right.
X- (1/6)= (1/12)
Add (1/6) to each side
x = (1/12)+(1/6)
x=(1/12)+(2/12)
x=(3/12)
x=(1/4) or .25
The first two are the horizontal the second one is vertical.
Also I like your picture ;)