Answer: 10,985 students
Step-by-step explanation:
You are given the original number of students, the rate of growth and the number of years. The Future value formula can therefore be used:
Number of students in 2010 = Number of students in 1995 * ( 1 + growth rate) ^ number of years
Number of years = 2010 - 1995 = 15 years
Number of students in 2010 = 1,350 * ( 1 + 15%)¹⁵
= 10,985 students
Given:
Height of man = 6 ft
Height of man's shadow = 11 feet
Height of building's shadow = 139 feet
To find:
The height of the building.
Solution:
We know that the heights of the objects and there shadows are always proportional.
Let x be the height of the building.
Multiply both sides by 139.
Therefore, the building is 75.8 feet long.
Answer:
Step-by-step explanation:
Let the time taken by the john to get to his uncle be x.
Let the time taken by the john to get back from his uncle be y.
So,
x+y=12 ------ equation 1
According to the given velocities:
20x=30y
x=3/2y
Put the value x=3/2y in equation 1
3/2y+y =12
3y+2y/2=12
3y+2y=12*2
5y=24
y=24/5
y=4.8h
Now put the value of y in x=3/2y
x=3/2*4.8
x=14.4/2
x=7.2h ....
Answer:
See below
Step-by-step explanation:
Let the number of Payday be p and Baby Ruth be b
<u>Then sub of the candy bars:</u>
- Payday candy bars worth ⇒ $2p
- Baby Ruth candy bars worth ⇒ $3b
- Total ⇒ $600
1. <u>Required equations:</u>
2. <u>Solving by substitution:</u>
p = 220 - b, consider it in the second equation
- 2(220 - b) + 3b = 600
- 660 - 2b + 3b = 600
- 660 + b = 600
- b = 660 - 600
- b = 60
60 Baby Ruth candy bars sold
Step 1: calculate the cube roots, convert the decimal into a fraction, and calculate the cube roots again
10 + 3 square root 27/1000 - 5
Step 2: calculate the cube root
10 + 3/10 -5
Step 3: subtract the #’s
5 + 3/10
Step 4: calculate and you get
53/10
Answer: 53/10
