Step-by-step explanation:
4x+y=1-(1)
-6x+y=1-(2)
solve simultaneously
10x =0
X=0/10
X=0
solve for X in (1)
4(0)+y=1
0+y=1
y=1-0
y=1
Answer: 11 girls were not selected.
Step-by-step explanation:
First let's find out how many girls their were in total. In this case their are 23.
Let's subtract 12 from 23. That ends up to be 11. (<em>subtract 23 from 11 / 11 from 23)</em>
-23
-12
-------
11
Answer:
<h3>The value of the second number is <em><u>24</u></em><em><u> </u></em>and the first no <em><u>12</u></em><em><u>.</u></em></h3>
Step-by-step explanation:
<h3> Greetings !</h3>
From, the given word explanation try to create your own equation like
- x + y = 36... (1) let the two numbers be x and y respectively.
- 2x = y ....(2) let x be the first no and it's twice that of the second number.
From, equation (1) solve for x
- x + y = 36
- x = 36-y... (3)
Substitute, equation (3) to equation (2).
- 2(36-y) =y
- 72 - 2y =y
- 72 = y + 2y.... solve for y
- 72 = 3y.... divide both sides by 3
- 72/3 = y..
- <em><u>y=24</u></em><em><u> </u></em><em><u>.</u></em>..simplified
Answer:
- a(x) = 20 + 0.60x
- domain [0, 50]; range [20, 50]
- maybe
Step-by-step explanation:
a) If x liters are removed from a container with a volume of 50 L, the amount remaining in the container is (50 -x) liters. Of that amount, 40% is acid, so the acid in the container before any more is added will be ...
0.40 × (50 -x)
The x liters are replaced with 100% acid, so the amount of acid that was added to the container is ...
1.00 × (x)
Then after the remove/replace operation, the total amount of acid in the container is ...
a(x) = 0.40(50 -x) +1.00(x)
a(x) = 20 +0.60x . . . . . liters of acid in the final mixture
__
b) The quantity removed cannot be less than zero, nor can it be more than 50 liters. The useful domain of the function is 0 ≤ x ≤ 50. (liters)
The associated range is 20 ≤ a ≤ 50. (liters)
__
c) As we found in part b, the amount of acid in the final mixture may range from 20 liters to 50 liters. So, the percentage of acid in the final mix will range from 20/50 = 40% to 50/50 = 100%. The mixture could be 50% acid, but is not necessarily.
