Answer:
73 nickels, 27 dimes
Step-by-step explanation:
x+y=100
5x+10y=635
x=100-y
5(100-y)+10y=635
500-5y+10y=635
500+5y=635
5y=135
y=27
5x+10(27)=635
5x+270=635
5x=365
73
73+27=100
A point that bisects a segment would be its midpoint. This is a case where the vocabulary (bisect as opposed to midpoint) makes it harder.
To find the midpoint, we use the midpoint formula. The midpoint formula is:
midpoint = (x₁ + x₂/2, y₁ + y/2). To find it, you add the x coordinates and then divide them by 2. Repeat for the y coordinates.
x: (-2 + 6)/2 = 4/2 = 2
y: (5 +1)/2 = 6/2 = 3
Thus the point B bisecting AC is at (2, 3).
Answer:
562
Step-by-step explanation:
Answer:50%
Step-by-step explanation: It doesn't matter how many questions there are because for each question, you have a 50% chance of getting it right. So, the probability is 50%.
Point-slope form: y - y₁ = m(x - x₁)
(m is the slope, (x₁, y₁) is the point you are given that is on the line)
You know:
m = 5
(x₁, y₁) = (-2, -3) So substitute/plug it into the equation
y - y₁ = m(x - x₁)
y - (-3) = 5(x - (-2)) (two negative signs cancel each other out and become positive)
y + 3 = 5(x + 2) Your answer is A