I think it is D because it is the opposite of region A
475 is the answer for the question
Answer:
- <u>150 pieces of candies.</u>
Explanation:
In the graph each divsion on the x-axis represents 3 <em>students </em>and each division of the y-axis represents <em>5 candies</em> left in the bowl.
Every point of the graph, i.e. every ordered pair (x, y), represents the number of candies given to the corresponding number of students.
Some pairs are:
- (0, 45), which means that when zero number of students had been given candies, there where 45 candies in the bowl.
- (3, 40), which means that 40 candies were left in the bowl after having given the candies to 3 students:
⇒ 45 - 40 = 5 candies were given every 3 students.
Since you might draw a line that passes through all the the points on the graph, the ratio of number of candies to number of students will be the same:
Thus, set a proportion:
- 5 candies / 3 students = x / 90 students
Solving for x:
- 5 candies / 3 students × 90 students = x
Therefore, <em>Mrs Wright would need </em><u>150 </u><em>pieces of candies in order to give the 90 students the same amount as she did for the 27 students.</em>
Step-by-step explanation:
Simplifying
3(3w + -5) = 12
Reorder the terms:
3(-5 + 3w) = 12
(-5 * 3 + 3w * 3) = 12
(-15 + 9w) = 12
Solving
-15 + 9w = 12
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + 9w = 12 + 15
Combine like terms: -15 + 15 = 0
0 + 9w = 12 + 15
9w = 12 + 15
Combine like terms: 12 + 15 = 27
9w = 27
Divide each side by '9'.
w = 3
Simplifying
w = 3