If you would like to know solve the equation 2/9 * b = 1/3 * b - 7, you can calculate this using the following steps:
2/9 * b = 1/3 * b - 7
2/9 * b - 1/3 * b = -7
2/9 * b - 3/9 * b = -7
-1/9 * b = -7
1/9 * b = 7 /*9
b = 7 * 9
b = 63
The correct result would be 63.
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.
9514 1404 393
Answer:
58.7 °F
Step-by-step explanation:
At 5000 feet, the airplane is 5 times 1000 feet above the ground, so the temperature will have dropped 5 times 1.2 °F.
64.7 - 5×1.2 = 64.7 -6.0 = 58.7
At 5000 feet, the temperature is 58.7 °F.
