First simplify 3x + 12 - 6x to -3x - 12
Next subtract 12 from both sides
Next subtract -9 - 12 and that would be -21
Next divide both sides by -3
Next lets simplify the fraction -21/-3 into 21/3 since those two negatives make a positive.
Lastly simplify the fraction 21/3 to get the answer.
Answer: x ≥ 7
So 1 hour= 60 minutes
60+25= 85 minutes
Now we should subtract the 42
85-42=43
Answer:
Adult = $7
Kids = $4
Step-by-step explanation:
Before we can find the price of the tickets, we first need to create expressions that can be used to explain the prices.
Let x = Price of kids tickets
Let y = Price of adults tickets
For this week the expression is:
3x + 9y = 75
For the last week the expression is:
8x + 5y = 67
Now to be able to find the value of x or y, we can use the Solving Linear Equations by Multiplying First Method.
3x + 9y = 75
8x + 5y = 67
Now we need to remove either the x or y by multiplying the whole expressions by a certain number.
8(3x + 9y = 75)
24x + 72y = 600
3(8x + 5y = 67)
24x + 15y = 201
Now that we have our equations and we can eliminate the x by subtracting both expressions.
24x + 72y = 600
<u>- 24x + 15y = 201</u>
57y = 399
To find the value of y, we divide both sides by 57.
![\dfrac{57y}{57}=\dfrac{399}{57}](https://tex.z-dn.net/?f=%5Cdfrac%7B57y%7D%7B57%7D%3D%5Cdfrac%7B399%7D%7B57%7D)
y = 7
Now that we have the value for y, we simply substitute the value in any of our expressions.
3x + 9y = 75
3x + 9(7) = 75
3x + 63 = 75
3x = 75 - 63
3x = 12
Now we divide both sides by 3 to find the value of x.
![\dfrac{3x}{3}=\dfrac{12}{3}](https://tex.z-dn.net/?f=%5Cdfrac%7B3x%7D%7B3%7D%3D%5Cdfrac%7B12%7D%7B3%7D)
x = 4
So the ticket prices are:
Adult = $7
Kids = $4
Explanation:
Starting with the first option, the square root of 12 and 8 isn’t a perfect square so it definitely can’t be reduced to 3/2.
It is the same for the second option as well.
Third option :
Root of 36 is 6
Root of 16 is 4
6/4 = 3/2
Fourth option:
Root of 81 is 9
Root of 36 is 6
9/6 = 3/2
Answer:
Therefore, the third and fourth options are the correct choices.
Hope this helped!
Answer:
4,5,6,7
Step-by-step explanation:
-1 < x ≤7 , x > 3 means that 3 < x ≤ 7