Answer:
y = -(2/3)x + 3
C
Step-by-step explanation:
The slope of the equation that was given is - 2/3
The slope in a slope intercept equation is the number in front of the x when the value of the number in front of the y = 1 and x and y are on opposite sides of the equal sign. Let's translate that.
The original equation is y = -(2/3)x + 5/3
- y and x have to be on opposite sides of the equal sign [They are]
- The slope is the number in front of the x. That's (-2/3). That makes A incorrect.
Now you need to use the given point
The point is (-3 , 5) Put this into the equation that you have so far
y = (-2/3)x + b
y = 5
x = -3
5 = (-2/3)(-3/1) + b Substitute in the givens
5 = (-2 * -3)/3 + b Multiply -2 * - 3 = 6
5 = 6/3 + b Divide the 6 by 3
5 = 2 + b Divide
5 - 2 = b Subtract 2 from both sides
3 = b Switch sides
b = 3
Answer y = (-2/3)x + 3 or C
Answer:
A) Bobby's overall grade is 70.4%
Step-by-step explanation:
To solve this problem we must calculate the percentages each grade represents from the overall grade. Therefore:
assignment = 85*30% = 85*30/100 = 25.5%
tests = 72*20% = 72*20/100 = 14.4%
exam = 61*50% = 61*50/100 = 30.5%
total = assignment + tests + exam
total = 25.5 + 14.4 + 30.5 = 70.4
Bobby's overall grade is 70.4%. Therefore the correct answer is A).
The two equations are

and

the first equation can be solved for x to be

next you can substitute x in the second equation

Distribute 4 to everything in the parentheses

combine like terms:

subtract 28 from both sides of the equation

divide both sides by -1.5

plug this in to the original equation of x+y=7

subtract 4 from both sides.

Final Answer: they bought 3 adult tickets and 4 student tickets
Hope this helps!
Answer:
Complementary angles
Step-by-step explanation:
The sum of the 2 angles = 27° + 63° = 90°
This is the definition of Complementary angles