Answer:
Step-by-step explanation:
The point-slope form of an equation of a line:
m - slope
We have
Substitute:
Convert to the slope-intercept form
<em>use the distributive property</em>
<em>add 3 to both sides</em>
Convert to the standard form
<em>multiply both sides by 3</em>
<em>add x to both sides</em>
So, you know that any number with 100 as the denominator will be a fraction. All you have to do is change the 10 you have now to 100. To do that, you have to multiply BOTH numerator and denominator (top and bottom) by 10. That results in 70/100, which is equal to 70%.
The equivalent percent for 7/10 is 70%.
9. ¹/₃(x + 6) = 8
¹/₃(x) + ¹/₃(6) = 8
¹/₃x + 2 = 8
<u> - 2 - 2</u>
3 · ¹/₃x = 6 · 3
x = 18
15. ¹/₅(x + 10) = 6
¹/₅(x) + ¹/₅(10) = 6
¹/₅x + 2 = 6
<u> - 2 - 2</u>
5 · ¹/₅x = 4 · 5
x = 20
20. ¹/₈(24x + 32) = 10
¹/₈(24x) + ¹/₈(32) = 10
3x + 4 = 10
<u> - 4 - 4</u>
<u>3x</u> = <u>6</u>
3 3
x = 2
32. 5 - ¹/₂(x - 6) = 4
5 - ¹/₂(x) - ¹/₂(-6) = 4
5 - ¹/₂x + 3 = 4
5 + 3 - ¹/₂x = 4
8 - ¹/₂x = 4
<u>- 8 - 8</u>
-2 · (-¹/₂x) = -4 · (-2)
x = 8
33. ²/₃(3x - 6) = 3
²/₃(3x) - ²/₃(6) = 3
2x - 4 = 3
<u> + 4 + 4</u>
<u>2x</u> = <u>7</u>
2 2
x = 3¹/₂
Answer:
So you make a number line right, and make from 0 to 1. You would put 8 dashes between 0 and 1. Once you finished that, you would go to the third dash, and that will be 3/8 on a number line.
Step-by-step explanation:
I hope this helps! :)
Answer:
$9.00
Step-by-step explanation:
We can use conversion factors to solve this equation. The multiplication sequence that I got is shown below:
× 
× 
Our feet and inches cancel out and we get the final expression 
, which is equal to 9, or $9.00.
Hopefully that was helpful! :)
