Answer:
x=23
Step-by-step explanation:
2x=37-22+6+x
x=15+6
x=23
Answer:
C = 12n
Step-by-step explanation:
Let C = the total cost
and n = the number of DVDs
Then
C = 12n
Answer:
A. and
Step-by-step explanation:
We have been given a system of equations. We are asked to find the solution of our given system.
Equate both equations:
Split the middle term:
Use zero product property:
Now, we will substitute both values of x, in our given equation to solve for y.
One solution:
2nd solution:
Therefore, option A is the correct choice.
Answer:
A
Step-by-step explanation:
Given the 2 equations
y = x² - 4x + 8 → (1)
y = 2x + 3 → (2)
Since both express y in terms of x we can equate the left sides, that is
x² - 4x + 8 = 2x + 3 ( subtract 2x + 3 from both sides )
x² - 6x + 5 = 0 ← in standard form
(x - 1)(x - 5) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 5 = 0 ⇒ x = 5
Substitute these values into (2) for corresponding values of y
x = 1 : y = (2 × 1) + 3 = 2 + 3 = 5 ⇒ (1, 5)
x = 5 : y = (2 × 5) + 3 = 10 + 3 = 13 ⇒ (5, 13)
Solutions are (1, 5) and (5, 13)
The number that 18 is 45% of 40.
To find the number that 18 is 45% of, we can set up the following equation:
we can set up the following equation:
Given number is 18 and the percentage is 45%
18 = 0.45 * x
x=18/0.45
To solve for x, divide both sides of the equation by 0.45:
To solve for x, divide both sides of the equation by 0.45:
x = 18 / 0.45
x=40
By future Performing the calculation:
x = 40
We get the answer as 40.
Therefore, 18 is 45% of 40.
To learn more about the sum of a number,
#SPJ6
You can use ratio and proportion in this problem.
Segment DC / Segment CB = Segment ZY / Segment YX
2.3m / 4.2m = k / 8.4m
K = 8.4 (2.3 / 4.2)
K = 23/5 or 4.6 m
Answer= 4.6 m