We can make this an equation, lets start with how much money he has. Since he bought the motorbike he lost 2,000, then sold it and received 2,500. The 2,000 cancels out but he still has 500. Now that he bought it for 2,200 we subtract 2,200 from 500 and get -1,700. Then finally, he sold it for 2,000 so we add that to -1,700 and get 300. His total profit was $300.
-2,000 + 2,500 = 500
500 - 2,200 = -1,700
-1,700 + 2,000 = 300
Answer:
f(x, y) = (2x, 2y)
Step-by-step explanation:
Dilation centered at the origin causes each coordinate value to be multiplied by the scale factor. Here, each image point has coordinates that are double the value of the original pre-image coordinates. (The scale factor is 2.)
f(x, y) = (2x, 2y)
Answer:
The vertex angle = 28 degrees.
Each of the base angles = 76 degrees.
Step-by-step explanation:
The 2 base angles of an isosceles triangle are equal.
The relation between the vertex angle and one of the base angles is as follows:
2x + y = 180 where x = the measure of a base angle and y = the measure of the vertex angle.
Also, from the information given in the question:
x = 3y - 8
so we have the system of equations:
2x + y = 180........(1)
x - 3y = -8...........(2)
Multiply equation (2) by -2:
-2x + 6y = 16......(3)
Adding (1) and (3):
7y = 196
y = 28.
Substituting for y in equation (2):
x - 3(28) = -8
x = -8 + 84
x = 76.
c + 2c = 33
3c=33 (now divide by 3 both sides of equation)
c=11
so Ann has 11 apples (c=11) and her brother has 22 apples (2c=2×11=22)
