Q 5) No. of boys = 20
Answer:
Q 6) Total time taken to answer both the quizzes = 90 minutes
Step-by-step explanation:
Q 5.
Let the number of boys = x
Therefore, number of girls = x - 5
Since,
No. of boys + No. of girls = 35
hence,
x + x- 5 = 35
2x-5 = 35
2x = 35 + 5
2x = 40
x = 40/2
x = 20
Hence 20 boys participated in the activity.
Let the time taken to answer history quiz= x min
Therefore, time taken to answer geography quiz = (x + 30) min
According to the given information:
x = 1/2(x + 30)
2x = x + 30
2x - x = 30
x = 30 min
Hence, x + 30 = 30 + 30 = 60 min
Total time taken to answer both the quizzes = 30 + 60 = 90 minutes
Answer:
Y = 63
Step-by-step explanation:
I think if x and y are proportional when y is 90 and x is 10 then that would mean that x multiplied by 9 would equal y so:
7 x 9 = 63
(x³ - 2)(3x² - 1) + r = 3x⁵ + 3x³ + 2x² + x + 2
x³(3x² - 1) - 2(3x² - 1) + r = 3x⁵ + 3x³ + 2x² + x + 2
x³(3x²) - x³(1) - 2(3x²) + 2(1) + r = 3x⁵ + 3x³ + 2x² + x + 2
3x⁵ - x³ - 6x² + 2 + r = 3x⁵ + 3x³ + 2x² + x + 2
-x³ - 6x² + 2 + r = 3x³ + 2x² + x + 2
-6x² + 2 + r = 4x³ + 2x² + x + 2
2 + r = 4x³ + 8x² + x + 2
r = 4x³ + 8x² + x
Answer:
x=0.268
Step-by-step explanation:
Ok so first you know that the missing angle is going to = y+x. Then look at just half to the x so you’re looking at only a “straight line”. That means you are either seeing y+x and 2x together or y-x and y+x together. Either way, both add to 180, so that means they are equal to each other! So, you can set them equal to each other: 2x + y + x = y+ x + y - x. When you simplify that, you get y+3x = 2y so 3x = y. Then you can go back to your first equations, I used 2x + y+x = 180 and where ever there’s a y substitute in 3x. So you are left with 3x + x + 2x = 180 —> 6x = 180 so x = 30°!