Answer:
distance from the Water Slide to Roller Coaster 2
Step-by-step explanation:
✔️Distance from Roller Coaster 1 (-6, 7) to Roller Coaster 3 (-6, -3):
Distance = |7 - (-3)| = |7 + 3| = 10 units
✔️Distance from the Water slide (8, -8) to Roller Coaster 2 (-6, -8):
Distance = |8 - (-6)| = |8 + 6| = 14 units
✔️The distance from the Water Slide to Roller Coaster 2 (14 units) is greater than the distance from Roller Coaster 1 to Roller Coaster 3 (10 units)
<span>2/3 (x-7)= -2
x - 7 = -2 * 3/2
x - 7 = -3
x = -3 + 7
x = 4</span>
10/14 divided by 2 = <span>0.35714285714</span>
Answer:
<u>The equations system is:</u>
<u>x + y = 10</u>
<u>0.5x + 0.9y = 6</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Liters of 60% acid solution needed = 10
x = Number of liters of the 50% solution
y = Number of liters of the 90% solution
2. Which equation represents the total liters of acid that are needed?
There are two equations needed:
The first one related to the total liters needed, 10 in this case:
x + y = 10
The second one related to the acid concentration of the 10 liters:
0.5x + 0.9y = 10 * 0.6
0.5x + 0.9y = 6
<u>The equations system is:</u>
<u>x + y = 10</u>
<u>0.5x + 0.9y = 6</u>
Solving for x and y in the 2nd equation, we have:
0.5 (10 - y) + 0.9y = 6
5 - 0.5y + 0.9y = 6
0.4y = 6 - 5
0.4y = 1
y = 1/0.4 = 2.5 ⇒ x = 7.5 (10 - 2.5)
The scientist can mix 7.5 liters of the 50% acid solution and 2.5 liters of the 90% acid solution to get the 10 liters of the 60% acid solution.
