Answer:
The first one is equivalent [the 6x+48 = 2(3x+24)] and the second one is <u>NOT</u> equivalent [the 7x+21 ≠ 2(5x+3)]
Step-by-step explanation:
Just follow distributive property to solve these. You can ignore the first expression in both until you have to compare the answers.
1. 6x+48 and 2(3x+24)
2(3x+24) ---> 2(3x) + 2(24) ---> <u>6x + 48</u>
Bring in the first expression ~ <u>6x+48 and 6x+48 </u>
They are the same, so they are equivalent
2. 7x+21 and 2(5x+3)
2(5x+3) ---> 2(5x) + 2(3) ----> 10x + 6
Bring in the first expression ~ <u>7x+21 and 10x + 6</u>
They are NOT the same, so they are NOT equivalent
Answer: 2 2/5 is 4/5 of 3
Step-by-step explanation:
We can view that as what do we multiply 3 by to get 2 2/5 and call that value x
3x = 2 2/5
x = (2 2/5)/3
Let's turn 2 2/5 into an improper fraction... 2 2/5 = 12/5
So we have
x = (12/5)/3 = (12/5)(1/3) = 4/5
Thus 2 2/5 is 4/5 of 3
Verify: 3(4/5) = 12/5 = 2 2/5
Answer:
y = mx + 1/2
Step-by-step explanation:
(x,y)
- Plot each point on a graph
- The line should go from the bottom left (-6,-10) to the top right (1,4)
- Count how many spaces are on the y-axis from -6 to 1 for numerator
- Count how many spaces are on the x-axis from -10 to 4 for denominator
- Positive slope
- Slope = 7/14
- Simplify to 1/2
Answer:
$5.10
Step-by-step explanation:
15% of 34
15/100 × 34 = $5.10
