Use similarity property:
14 / (14+6) = 21 / (21 + (x+4))
14/20 = 21/(x+25) cross multiplication property
14*(x+25) = 20*21
14x + 350 = 420
14x = 70
x = 70/14 = 5.
Answer:
Answers in Explanation
Step-by-step explanation:
First Question:
+ [18 ÷ 3 x 4 - 15] - (60 - 7^2 - 1)
+ [24 - 15] - (60 - 49 - 1)
+ 9 - 10
10 + 9 - 10
<u>Answer = 9</u>
Second Question:
5x + 2x = 7x
5x^2 + 3x^2 = 8x^2
2x + 3x - x = 4x
2x + 3y + x + y = 3x + 4y
9x - 6x = 3x
-7y + 3x + 4x + 3y = 7x - 4y
-7x^2 + 2x^2 + 9x^2 = 8x^2
(3x^2 + 5x + 4) - (-1 + x^2) = 2x^2 + 5x + 5
(3 + 2x - x^2) + (x^2 + 8x + 5) = 10x + 8
(3x - 4) - (5x + 2) = -2x - 6
(2x^2 + 5x + 3) - (x^2 - 2x + 3) = x^2 + 7x
(3x^2 + 2x - 5) - (2x^2 - x - 4) = x^2 + 3x - 1
Third Question:
17x + 2y
(5x + 12y) + (3x + y) = 8x + 13y
17x - 8x = 9x
2y - 13y = -11y
Answer: 9x - 11y
Answer:
3+n
Step-by-step explanation:
Simple questions but it can be technical atimes, according to the question we are to solve in terms of n, simple...
The sum of 3 and n can be written as 3+n
This cannot be solved further because there are two different variables and it is impossible to add them together
Therefore the final answer is 3+n
But in case a value is given for n we can then substitute and solve further
Hope this will help you
Answer:
The number of liters of 25% acid solution = x = 160 liters
The number of liters of 40% acid solution = y = 80 liters
Step-by-step explanation:
Let us represent:
The number of liters of 25% acid solution = x
The number of liters of 40% acid solution = y
Our system of Equations =
x + y = 240 liters....... Equation 1
x = 240 - y
A 25% acid solution must be added to a 40% solution to get 240 liters of 30% acid solution.
25% × x + 40% × y = 240 liters × 30%
0.25x+ 0.4y = 72...... Equation 2
We substitute 240 - y for x in Equation 2
0.25(240 - y)+ 0.4y = 72
60 - 0.25y + 0.4y = 72
Collect like terms
- 0.25y + 0.4y = 72 - 60
0.15y = 12
y = 12/0.15
y = 80 Liters
Solving for x
x = 240 - y
x = 240 liters - 80 Liters
x = 160 liters
Therefore,
The number of liters of 25% acid solution = x = 160 liters
The number of liters of 40% acid solution = y = 80 liters
The correct answer is b) the function has an inverse because if passes the horizontal line test.
