The right equations are a+c=30 (total number of people) and 8a+c=100 (total amount of money). So answers B and D cannot be right.
a+c=30 can be rewritten as c=30-a and filled into the second one:
8a + 30-a = 100 => 7a = 70 => a=10
That leaves answer A as the right one.
Answer:
{ 100, 125,150,175}
Step-by-step explanation:
The range is the output values
{ 100, 125,150,175}
Answer:
X = 0
Y = 2
so Option A (0,2) IS CORRECT
Step-by-step explanation:
Y = -1/3 x + 2 equation 1
Y = x+ 2 equation 2
from equation 2 we have
y = x+ 2 Put in equation 1
x + 2 = -1/3 x + 2
x +1/3x = 2 -2
0.67 x = 0
X = 0
so put x =0 in equation 2 then we have
y = x +2
Y = 0+ 2
Y = 2
You would need two different lines to complete this as lines cannot be both parallel and perpendicular (these are opposites). The answers would be:
Parallel: x = 2
Perpendicular: y = -2
In order to find these, we first need to see that the original line of x = -1 is a horizontal line. Therefore, any line that is parallel should be horizontal as well. To get a horizontal line through the point (2, -2), the only option is x = 2.
Similarly, with the perpendicular line, if the original line is horizontal, the new line must be vertical. The only vertical line that goes through (2, -2) is y = -2.
