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:
15 cubic inches
Step-by-step explanation:
Volume formula is length*width*height
Following this,
2.5*1.5*4=15
Answer:
i think is (4, -4) or (4,4).
Step-by-step explanation:
Answer:
Answer: 350
Step-by-step explanation:
Explanation:
a = adult tickets
s = student tickets
║ a + s = 754
║s = a + 54
Plug s = a + 54 into a + s = 754
a + (a + 54) = 754
a + a + 54 = 754
2a + 54 = 754
2a = 754 - 54
2a = 700
a = 350
Answer:
4 (14.14=142=28)
Because 14 in 7 times-table, 142 in 7 times-table and 28 in 7 times-table.