Jackson used 8/9 of a case of soda to fill 1/3 of the soda machine.
how many cases does it take to fill the soda machine = ?
1/3 means three parts of the soda machine, it means if we fill with 8/9 of a case three times soda machine will be full so,
8/9 + 8/9 + 8/9 = 24/9
it means it takes the case of soda between 2 and 3.
2.667 approx. cases of soda it take to fill the soda machine.
Answer:
☐ -2 < 2x + 4
☐ -3x - 2 > 5
Step-by-step explanation:
-3x - 2 > 5
+ 2 + 2
___________
-3x > 7
___ ___
-3 -3
x < -2⅓ [Anytime you <em>divide</em> or <em>multiply</em> by a negative, reverse the inequality symbol.]
-2 < 2x + 4
-4 - 4
___________
-6 < 2x
__ ___
2 2
-3 < x
If you plug in -3 for <em>x < -2</em><em>⅓</em><em>,</em><em> </em>you will see that it is a genuine statement because the more higher a negative gets, the lesser the integer will be, so in this case, -3 IS <em>less</em><em> </em><em>than</em><em> </em>-2⅓.
I am joyous to assist you anytime.
** If it is not multi-select, then choose <em>-2 < 2x + </em><em>4</em><em>.</em>
Answer:
Answer is D hope this helps
Step-by-step explanation:
- Slope-Intercept Form: y = mx+b, with m = slope and b = y-intercept
So perpendicular lines have <u>slopes that are negative reciprocals</u> to each other, but firstly we need to find the slope of the original equation. The easiest method to find it is to convert this standard form into slope-intercept.
Firstly, subtract 3x on both sides of the equation: 
Next, divide both sides by -4 and your slope-intercept form of the original equation is 
Now looking at this equation, we see that the slope is 3/4. Now since our new line is perpendicular, this means that <em>its slope is -4/3.</em>
Now that we have the slope, plug that into the m variable and plug in (-4,-5) into the x and y coordinates to solve for the b variable as such:
<u>In short, your new equation is y = -4/3x - 10 1/3.</u>
