Let x be the number of 5 points question.
Let y be the number of 2 points question.
Total number of questions is 38
x + y = 38
Total points is 100
5x + 2y = 100
x + y = 38 ------------- (1)
5x + 2y = 100 ---------(2)
From (1):
x + y = 38
x = 38 - y -------------- sub into (2)
5(38 - y) + 2y = 100
190 - 5y + 2y = 100
3y = 90
y = 30 ------------------ sub into (1)
x + 30 = 38
x = 38 - 30
x = 8
There are 8 5-point questions and 30 2-point questions
Answer:
Step-by-step explanation:
- 25 × 386 + 3219 ÷ 2 =
- 9650 + 1609.5 =
- 11259.5
Answer:
no it is not
Step-by-step explanation:
it would be 54
We know that the Pythagorean Theorem is a² + b² = c² and that the area of a square is l x w.
Firstly, we'll have to find the two measures of the triangle that correspond to the areas.
Since the figures are squares, we know that the length and width values must be the same.
We could square the numbers to find the side lengths, however we would have to square them again when substituting for the Pythagorean Theorem, so we can leave them as-is and adjust the equation accordingly.
(33) + b² = (44)
Next, we'll subtract our smaller value from our larger.
b² = (11)
Once again, we could find the square root of this number, but we'd just have to square it again to find the area of the square, so we can just simply write our answer as 11 units.
Therefore, the area of the square is 11 units!
<em>Hope this helped! :)</em>
Answer:
50 people
Step-by-step explanation:
If you are to calculate the number of people that will come to the concert that will ensure option 1 and option 2 to yield equal amount
Let
x = number of people
Option 1:
Malcolm's Music Hall = 100 + 15x
Option 2:
Reggie's Reggae Room = 350 + 10x
Equate both options
100 + 15x = 350 + 10x
Collect like terms
100 - 350 = 10x - 15x
-250 = - 5x
x = -250/-5
x = 50 people
