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In a school 2/5 students play an instrument. Of those students 3/7 play the violin. Find the ratio of students who play the violin compared to the students who do not play the violin.

First step: Find the number of students out of the whole school who play the violin. 2/5 x 3/7= 6/35 (Simplest version of the fraction) Take the denominator to represent the number of students in the school ...
NB
Answered by Neha B. • Maths tutor
3460 Views

Find the coordinates of the point of intersection of the lines 2x + 3y = 12 and y = 7 - 3x.

We can substitute the equation for y into 2x + 3y = 12. If y = 7-3x , 2x + 3(7-3x) = 12 2x + 21-9x = 12 Now we can solve for x -7x = =-9x = 9/7 To get y, we must sub x back into y = 7 - 3x, to get the y co-o...
CA
Answered by Chrystine A. • Maths tutor
9105 Views

A projectile is launched with a speed of 10m/s at an angle 30 degrees from the positive x axis. What is the range of the projectile?

8.82 m. The 'range' means the distance along the positive x axis travelled by the projectile during its flight. First calculate the time elapsed over the flight using the SUVAT equation y = usin(θ)t - 0.5gt^...
CW
Answered by Cameron W. • Physics tutor
4434 Views

Integrate (1 - x^2)^(-0.5)dx within the limits 0 and 1

The answer is π/2. The key trick to solving this problem is to change variables by using the substitution x = sin(θ). We then need to change the differential and the limits too.
CW
Answered by Cameron W. • Maths tutor
4441 Views

A block of mass 5kg moving in a straight line at constant speed travels 50 metres in 14 seconds. Calculate the block's momentum.

p = 17.9 kgm/s. p = mv. v = d/t. p = md/t. p = (5 x 50)/14
CW
Answered by Cameron W. • Physics tutor
2693 Views