Answer:
See explanation
Step-by-step explanation:
1. 400 students in total.
Category 1: Students which rode the bus (180)
Category 2: Students that were freshmen (115)
Let x be the number of students in both categories. Then
- 180 - x students rode the bus and were not freshmen
- 115 - x students were freshmen and didn't ride the bus
So, 115 - x = 25
x = 90
Thus,
- 90 students rode the bus and were freshmen
- 90 students rode the bus and were not freshmen
- 25 students were freshmen that did not ride the bus
- 400 - 90 - 90 - 25 = 195 students didn't rode the bus and were not freshmen
2. 350 students in total.
Category 1: Students bought pizza (168)
Category 2: Students that were sophomores (123)
Let x be the number of students in both categories. Then
- 168 - x students that bought pizza and were not sophomores
- 123 - x students were sophomores and didn't buy pizza
So, 123 - x = 32
x = 91
Thus,
- 91 students bought pizza and were sophomores
- 77 students bought pizza and were not sophomores
- 32 students were sophomores that did not buy pizza
- 350 - 91 - 77 - 32 = 150 students didn't buy pizza and were not sophomores
9514 1404 393
Answer:
Molly
Step-by-step explanation:
Brady did not properly create a square.
The square of a binomial is ...
(a -b)² = a² -2ab +b²
Where a²=x² and -2ab = -4x, you find b=2. The constant term in the square is 2²=4. Brady shows it as -4, which is incorrect.
Molly's work is correct.
The total weight of 4 dolls and 3 plush toys is 11 oz
Let's say the dolls weigh 2 oz and the plush toys weigh 1 oz
2-4= 8 1x3 =3
8+3=11
Then 2 dolls =4 and 3 plush toys= 3
Weight should be 7oz
Plus the weight of the box 1
Total= 8 not 10
Answer:
false
Step-by-step explanation:
(0,8) is on the line, not (8,0) :)
Answer:
inches
Step-by-step explanation:
Let x inches be the length of one side of the frame. The frame is the square, so all sides have the same lengths.
Use formula connecting the area of the square and the side length of the square.
Since the area ofthe square is 55 square inches, we have