Answer:
The unit rate in miles per hour = <em>1.4 miles/hr</em>
Step-by-step explanation:
Given that:
Distance walked by Boardman family = Two over five of a mile = ![\frac{2}{5}\ miles](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7D%5C%20miles)
Time taken by Boardman family = Two over seven of an hour = ![\frac{2}{7}\ hour](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B7%7D%5C%20hour)
To find:
The unit rate in the miles per hour = ?
Solution:
Formula for the rate or the speed can be given as:
![Speed = \dfrac{Distance}{Time}](https://tex.z-dn.net/?f=Speed%20%3D%20%5Cdfrac%7BDistance%7D%7BTime%7D)
Putting the values:
![\Rightarrow \dfrac{\frac{2}5}{\frac{2}7}\\\Rightarrow \dfrac{7}{5}\\\Rightarrow \bold{1.4\ miles/hr}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7B%5Cfrac%7B2%7D5%7D%7B%5Cfrac%7B2%7D7%7D%5C%5C%5CRightarrow%20%5Cdfrac%7B7%7D%7B5%7D%5C%5C%5CRightarrow%20%5Cbold%7B1.4%5C%20miles%2Fhr%7D)
So, the unit rate in miles per hour = <em>1.4 miles/hr</em>
Answer:
100, 40, 40
Step-by-step explanation:
Answer:
10 teeth must go on the driven gear
Step-by-step explanation:
Let the number of teeth be x
In order for the new product to maintain the same ratio as the old the ratio must remain the same. This means that
17:5 = 34:x
![\frac{17}{5} = \frac{34}{x}\\Now\ let\ us\ cross-multiply\\17 \times x = 5 \times 34\\17x = 170\\dividing\ both\ sides\ by\ 17 \\x = \frac{170}{17} \\x = 10](https://tex.z-dn.net/?f=%5Cfrac%7B17%7D%7B5%7D%20%3D%20%5Cfrac%7B34%7D%7Bx%7D%5C%5CNow%5C%20let%5C%20us%5C%20cross-multiply%5C%5C17%20%5Ctimes%20x%20%3D%205%20%5Ctimes%2034%5C%5C17x%20%3D%20170%5C%5Cdividing%5C%20both%5C%20sides%5C%20by%5C%2017%20%5C%5Cx%20%3D%20%5Cfrac%7B170%7D%7B17%7D%20%5C%5Cx%20%3D%2010)
∴ 10 teeth must go on the driven gear
hence ratio = 34:10
Answer:
its C
Step-by-step explanation:
f(x) = |(-5)+1|
f(x)=|4|
absolute value of 4 is 4