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.
Answer:
The two values are 100 x 100 x 100 and 1 x 10 to the power of 3
Step-by-step explanation:
Answer:
(4,7) up 3 units and right 6 units is (10,10)
Step-by-step explanation:
(4,7) goes up 3 units, which becomes (4,10). (Go up: 7 + 3 = 10)
(4,10) moves to the right 6 units, which becomes (10,10). (Right: 4 + 6 = 10)
Answer:
4x +12
Step-by-step explanation:
Answer:
3/7
Step-by-step explanation:
HCF of 21 and 49 = 7
21 / 49 = (21/7) / (49/7) = 21/7 *7/49 = 3 * 1/7 = 3/7
