6. B
9. B
For number 6, 10 vans times 12 students is 120 students. 432 - 120 = 312. 312 students divided by 6 buses is 52. To check if it right I tried Middle School B. 5 vans times 12 students is 60. 164 students - 60 = 104. 104 divided by 2 buses equals 52. So 12 students is the right answer.
For number 9, 35*2=70 and 15*5=75. 70+75=145.
Answer:
p=2
Step-by-step explanation:
9p-10=6+p
Subtract p from each side
9p-p-10=6+p-p
8p -10 =6
Add 10 to each side
8p -10+10 =6+10
8p =16
Divide each side by 8
8p/8 = 16/8
p =2
Answer: No, 40 months isn’t reasonable.
Step-by-step explanation:
For Shellie: 40*3 = 120 cm in 40 months
For Carley: 40*2 = 80cm in 40 months
Next we add the amount of hair they have already to the amount of centimeters would grow.
Shellie: 120+10 = 130cm
Carley: 80+20 = 100cm
So if the girls wanted to cut their hair at the exact length, 40 months isn’t a reasonable solution.
Answer:
B) BC'= 8, m A'= 28°
Step-by-step explanation:
When dilating a figure, it increases its size or decreases. In this case, as it is dilating by a factor of 1/2, you can assume it decreases.
To find the value of the new figure, A'B'C', you have to multiply the factor times the lengths of the triangle, or, the only one they are asking for in this case, the length BC':
- BC' = BC×1/2
- BC' = 16×1/2
- BC' = 8
The angles, otherwise, do not change. When figures are dilated, they are similar. The properties of similar figures are that they have congruent angles, therefore, the same angles. They do not have any effect caused by the factor, so m A' stays at 28°.