Answer:
Each student ticket costs $8.33
Each adult ticket costs $15.34
Step-by-step explanation:
At Niagra High, Mr. Borton bought 4 student tickets and 2 adult tickets for the high school musical which cost $64. then Mrs. Gelvoria bought 3 student tickets and 3 adult tickets for the show and it cost her $72. How much are each type of tickets?
s = cost of each student ticket
a = cost of adult ticket
Our system of equations:
4s + 2a = 64
3s + 3a = 71
-3(4s + 2a = 64) ==> -12s - 6a = -192
2(3s + 3a = 71) ==> 6s + 6a = 142
-12s - 6a = -192
6s + 6a = 142
-6s = -50
/-6 /-6
s = $8.33 (the cost of each student ticket)
Now, let's find the cost of each adult ticket:
4s + 2a = 64
4(8.33) + 2a = 64
33.32 + 2a = 64
-33.32 -33.32
2a = 30.68
/2 /2
a = 15.34 (the cost of each adult ticket)
(x, y) ==> (8.33, 15.34)
Check your answer:
4s + 2a = 64
4(8.33) + 2(15.34) = 64
33.32 + 30.68 = 64
64 = 64
This statement is true
Hope this helps!
Let the marks of Devi be x and Ali be y.
So, the equations:
2y = x <em>and</em> y + 16 = x
So,
2y = y + 16. [ because we know equals are equal to equals]
=> 2y - y = 16
=> y = 16
Check
Ali's marks are half of Devi's marks.
Devi's marks are 16 more than alis.
So, Devi's marks will be 16×2 = 32 and 32 is 16 greater than 16 (16+16=32).
If the grid is an 8x8:
To solve this we need to convert 3/4 into a fraction x/8 so that they have the same denominator.
To do this we can set a porportion and find a common denominator. 4 x 2 = 8 so the common denominator would be 8 and the rule would be x 2 so 4 x 2 = 8 and 3 x 2 = 6
So we get 7/8 and 6/8
From top to bottom shade 7 spaces in a row
From left to right shade 6 spaces in a row
Fill in the spaces in between to make a square
I hope this helps!
Answer:
6a (6a + 4)
Step-by-step explanation:
What is the highest number that goes both into 36 and 24? That is 6. What else do they have in common? The letter a
So 6a(6a + 4)
To solve for the slope given two lines, use the formula:
(y₂ - y₁)
----------
(x₂ - x₁)
Set one of the points as (x₁, y₁), and the other as (x₂, y₂).
(x₁, y₁) = <span>(0,32)
</span>(x₂, y₂) <span>= (100,212)
plug into corresponding places:
</span>(y₂ - y₁) (212 - 32) (180)
---------- = -------------- = -------
(x₂ - x₁) (100 - 0) (100)
180/100 is your slope
If you want simplified, it will be: 9/5
hope this helps
