Answer:
I do not know if that x is a multiply sign or a variable so I'm going to answer both
If the x is a multiplication sign then the answer is -20 = -9
If the x is a variable then the answer is x = -2
Step-by-step explanation:
1/2(5 * -8) = -9
(1 * 5 * -8)/2 = -9
(5 * -8)/2 = -9
-40/2 = -9
-20 = -9
-20 ≠ -9
1/2(5x - 8) = -9
1(5x -8)/2 = -9
(5x - 8)/2 = -9
2((5x - 8)/2) = -9 * 2
2(5x - 8)/2 = -9 * 2
5x - 8 = -9 * 2
5x - 8 = -18
+8 +8
------------------
5x = -10
x = -10/5
x = -2
Answer:
smallest amount of sugar = 40 kg
largest amount of sugar = 80 kg
Step-by-step explanation:
2 : 3 : 4
2 + 3 + 4 = 9
180 ÷ 9 = 20
Therefore,
2 : 3 : 4 = (2 x 20) : (3 x 20) : (4 x 20) = 40 : 60 : 80
So the smallest amount of sugar = 40 kg
and the largest amount of sugar = 80 kg
Answer:
a. Emily should begin her turn as the third driver at point (1, -0.5).
b. Emily's turn to drive end at point (-2.5, -3.75).
Step-by-step explanation:
Let assume that the group of girls travels from their hometown to San Antonio in a straight line. We know that each location is, respectively:
Hometown

San Antonio

Then, we can determine the end of each girl's turn to drive by the following vectorial expression based on the vectorial equation of the line:
Steph
(1)
![S(x,y) = (8,6) + \frac{1}{4}\cdot [(-6,-7)-(8,6)]](https://tex.z-dn.net/?f=S%28x%2Cy%29%20%3D%20%288%2C6%29%20%2B%20%5Cfrac%7B1%7D%7B4%7D%5Ccdot%20%5B%28-6%2C-7%29-%288%2C6%29%5D)


Andra
(2)
![A(x,y) = (8,6) + \frac{2}{4}\cdot [(-6,-7)-(8,6)]](https://tex.z-dn.net/?f=A%28x%2Cy%29%20%3D%20%288%2C6%29%20%2B%20%5Cfrac%7B2%7D%7B4%7D%5Ccdot%20%5B%28-6%2C-7%29-%288%2C6%29%5D)


Emily
(3)
![E(x,y) = (8,6) + \frac{3}{4}\cdot [(-6,-7)-(8,6)]](https://tex.z-dn.net/?f=E%28x%2Cy%29%20%3D%20%288%2C6%29%20%2B%20%5Cfrac%7B3%7D%7B4%7D%5Ccdot%20%5B%28-6%2C-7%29-%288%2C6%29%5D)


a. <em>If the girls take turns driving and each girl drives the same distance, at what point should they stop from Emily to begin her turn as the third driver? </em>
Emily's beginning point is the Andra's stop point, that is,
.
Emily should begin her turn as the third driver at point (1, -0.5).
b. <em>At what point does Emily's turn to drive end?</em>
Emily's turn to drive end at point (-2.5, -3.75).
Your answer would be $28.02.