Answer:
![1\ h\ 8\ min](https://tex.z-dn.net/?f=1%5C%20h%5C%208%5C%20min)
Step-by-step explanation:
we know that
Hunter was biking for 2 hours 20 minutes and covered 35 miles
so
using proportion
Find out how long would it take him to cover 17 miles on this bike
Remember that
1 h=60 min
2 h 20 min=2(60)+20=140 min
Let
x -----> the time to cover 17 miles
![\frac{140}{35}=\frac{x}{17}\\\\x=17(140)/35\\\\x=68\ min](https://tex.z-dn.net/?f=%5Cfrac%7B140%7D%7B35%7D%3D%5Cfrac%7Bx%7D%7B17%7D%5C%5C%5C%5Cx%3D17%28140%29%2F35%5C%5C%5C%5Cx%3D68%5C%20min)
therefore
![68\ min=1\ h\ 8\ min](https://tex.z-dn.net/?f=68%5C%20min%3D1%5C%20h%5C%208%5C%20min)
The model predicts that the time to get to school INCREASES by 10.1 minutes for each additional mile a student lives from school
value of above expression is 1
solution in attachment !
The price of the tablet before the discount is $ 2667
<h3><u>Solution:</u></h3>
Given that Marina paid $2,000 for a tablet PC after receiving a 25 percent discount
To find: The price of the tablet before the discount
Let "a" be the price of the tablet before the discount or original price
After receiving a 25 percent discount means 25 percent discount in original price
Discount = 25 % of original price
Discount = 25 % of "a"
![\begin{array}{l}{\text {discount}=\frac{25}{100} \times a} \\\\ {\text {discount}=0.25 a}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7B%5Ctext%20%7Bdiscount%7D%3D%5Cfrac%7B25%7D%7B100%7D%20%5Ctimes%20a%7D%20%5C%5C%5C%5C%20%7B%5Ctext%20%7Bdiscount%7D%3D0.25%20a%7D%5Cend%7Barray%7D)
Now we can say that,
<em>price of tablet after discount = price of the tablet before the discount - discount</em>
2000 = a - 0.25a
0.75a = 2000
a = 2666.67 ≈ 2667
Thus the price of the tablet before the discount is $ 2667
a) T = 4K / M
1) multiply both sides by M => TM = 4K
2) divide both sides by 4 => K = TM / 4
Answer: K = TM / 4
b) bm - Kn = 14
1) add Kn to both sides => bm = 14 + Kn
2) subtract 14 from both sides => bm - 14 = Kn
3) divide both terms by n => K = [bm - 14] / n
Answer: K = [bm - 14] / n