Answer:
2 hours
Step-by-step explanation:
Given: It takes Hank
minutes
hours to mow a lawn. Penny can mow the same size lawn in
minutes
hours. Hank and Penny form a small lawn care company and have contracts for
lawns of the same size previously mentioned.
To Find: How long should it take both of them working together to mow the
lawns.
Solution:
Time taken by Hank to mow the lawn
![\text{hour}](https://tex.z-dn.net/?f=%5Ctext%7Bhour%7D)
Time taken by Penny to mow the lawn
![\text{hour}](https://tex.z-dn.net/?f=%5Ctext%7Bhour%7D)
Total lawns to be mowed ![=7](https://tex.z-dn.net/?f=%3D7)
Let time taken by Hank and Penny to mow one lawn ![=\text{T}](https://tex.z-dn.net/?f=%3D%5Ctext%7BT%7D)
![\frac{1}{\text{time taken by Hank}}+\frac{1}{\text{time taken by Penny}}=\frac{1}{\text{Time taken by both to mow one lawn}}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Ctext%7Btime%20taken%20by%20Hank%7D%7D%2B%5Cfrac%7B1%7D%7B%5Ctext%7Btime%20taken%20by%20Penny%7D%7D%3D%5Cfrac%7B1%7D%7B%5Ctext%7BTime%20taken%20by%20both%20to%20mow%20one%20lawn%7D%7D)
![\frac{1}{\frac{2}{3}}+\frac{1}{\frac{1}{2}}=\frac{1}{\text{T}}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Cfrac%7B2%7D%7B3%7D%7D%2B%5Cfrac%7B1%7D%7B%5Cfrac%7B1%7D%7B2%7D%7D%3D%5Cfrac%7B1%7D%7B%5Ctext%7BT%7D%7D)
![\frac{7}{2}=\frac{1}{\text{T}}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B2%7D%3D%5Cfrac%7B1%7D%7B%5Ctext%7BT%7D%7D)
![\text{T}=\frac{2}{7}](https://tex.z-dn.net/?f=%5Ctext%7BT%7D%3D%5Cfrac%7B2%7D%7B7%7D)
time taken to mow
lawns ![=7\times\text{time taken to mow one lawn}](https://tex.z-dn.net/?f=%3D7%5Ctimes%5Ctext%7Btime%20taken%20to%20mow%20one%20lawn%7D)
![=7\times\frac{2}{7}](https://tex.z-dn.net/?f=%3D7%5Ctimes%5Cfrac%7B2%7D%7B7%7D)
![\text{hour}](https://tex.z-dn.net/?f=%5Ctext%7Bhour%7D)
Hence it will take
by Hank and Penny to mow
lawns
Answer:
1.790109879E17 hahahahaha
Step-by-step explanation:
x = the number of miles
y = the total cost
Company A:
0.60x + 60 = y [Company A charges $60 plus $0.60 per mile(x)]
Company B:
0.90x + 30 = y [Company B charges $30 plus $0.90 per mile(x)]
To find the number of miles where the costs for both companies are the same, you can set the equations equal to each other as the costs(y) are the same:
y = y Substitute the equations into "y" (substitute (0.60x + 60) and (0.90x + 30) into "y" since y = 0.60x + 60 and y = 0.90x + 30)
0.60x + 60 = 0.90x + 30 To find x, isolate/get the variable "x" by itself. Subtract 30 on both sides
0.60x + 60 - 30 = 0.90x + 30 - 30
0.60x + 30 = 0.90x Subtract 0.60x on both sides to get "x" on one side of the equation
0.60x - 0.60x + 30 = 0.90x - 0.60x
30 = 0.30x Divide 0.30 on both sides to get "x" by itself
100 = x 100 miles
(if you need to find out the cost where both companies cost the same, you can substitute/plug in the value of x into one of the equations.)
0.60x + 60 = y Plug in 100 into "x" since x = 100
0.60(100) + 60 = y
120 = y At 100 miles, both companies cost $120
Answer:
a. 7 x 2
Step-by-step explanation:
6 5/8 is closer to 7 and 2 1/3 is closer to 2
Answer:
below
Step-by-step explanation:
mean=EFX÷N
=40÷8
=5
THIS IS THE MEAN OF GIVEN DATA.