A man can buy 20 mangoes or 30 oranges. If he wants a each amount of each, how many of each would he get? Write an EQUATION to s
1 answer:
Answer:
12
Step-by-step explanation:
In this question, there are two variables: the number of mangoes(y) bought and the number of oranges bought(x).
Let's say the man have z money, mangoes price is z and the oranges price is
z. The equation for money and number of mangoes and oranges will be:
money = mango price * mangoes bought + orange price * orange bought
z= z * x +
z *y
1= x +
y
-y=
x -1
y= -1.5x + 30
y= 30 - 1.5x
If he want equal number of mango and orange, that mean y=x. The calculation will be:
y= 30 - 1.5x
x= 30 - 1.5x
x+ 1.5x = 30
2.5x= 30
x= = 12
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Answer:
1,809.98 lb*m/s^2
Step-by-step explanation:
First, we want to know how much weight of the boulder is projected along the path in which the boulder can move.
The weight of the boulder is:
W = 322lb*9.8 m/s^2 = (3,155.6 lb*m/s^2)
This weight has a direction that is vertical, pointing downwards.
Now, we know that the angle of the hill is 35°
The angle that makes the direction of the weight and this angle, is:
(90° - 35°)
(A rough sketch of this situation can be seen in the image below)
Then we need to project the weight over this direction, and that will be given by:
P = W*cos(90° - 35°) = (3,155.6 lb*m/s^2)*cos(55°) = 1,809.98 lb*m/s^2
This is the force that Samuel needs to exert on the boulder if he wants the boulder to not roll down.
