Answer:
a= 18 girls in the class, b= 20 boys and 15 girls, 12 oranges better price.
Step-by-step explanation:
for question a, there are 18 girls in the class, this is how i worked it out:
the ratio of boys to girls is 4:3.
there are 24 boys.
24 is 6 times more than 4.
if boys are 6 times more than the original ratio, we also have to times the amount of girls by 6.
6x3= 18.
for question b i got 20 boys and 15 girls, this is how i did it.
there are 35 students in total.
4:3= boys to girls.
4+3=7
7 goes into 35 five times.
ratio of boys to girls is 4:3 so 5x4 for boys = 20 and 3x5 for girls = 15.
answer= 20 boys and 15 girls.
12 oranges is a better deal, this is how i worked it out.
it is 60 for 12 oranges.
it is 48 for 8 oranges.
12x5= 60 , 8x6=48.
you only have to times 12 by 5 to get it to the price but you have to times 8 by 6 to get it to the price, proving that 12 oranges for 60 is a better deal.
t = 
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If u dont understand, comment^^
Given that: a = acceleration = (4i^ + 3j^) m/s^2
Using the following relations:
a = dv/dt
v = <span>∫ a dt
such that:
</span>v = ∫ (<span>4i^ + 3j^</span>) dt + C
v = (4t + Cx)i^ + (3t + Cy)j^
Therefore:
Vx = 4t + Cx
Vy = 3t + Cy
At t = 0, Cx = Cy = 0
Finally:
Vx = 4t
Vy = 3t
Answer:
Angle of elevation at which the balloon must take off in order to avoid hitting the tree is 5 degrees
Step-by-step explanation:
Given:
The height of the tree = 65 foot
The distance between the tree and the spot from which the balloon is launched = 250 yards
To find:
The angle of elevation at which the balloon must take off in order to avoid hitting the tree = ?
Solution:
Converting the yards to feet
1 yards = 3 feet
250 yards = 3 x 250 = 750 yards
Refer the below figure, The angle x is the angle of elevation at which the the ball must be thrown so that it does not Hit the tree

Substituting the values




