So she earned $34 in 4 hours, meaning she was earning at the rate of 34/4 or $8.5/hour. Is she works for 10 hours at the same rate, it would be 8.5 x 10 = $85. B is the correct proportion.
Hello there!
They spent a total of 17 Dollars and 33 cents. They each spent 5 Dollars and 78 Cents. 5.78 x 3 = 17.34. (basically the same thing as 17.33).
Hope this helped!!
Answer:
The final cost for him is;
![\text{ \$154.44}](https://tex.z-dn.net/?f=%5Ctext%7B%20%5C%24154.44%7D)
Explanation:
Given that the ipod costs $220;
![C=\text{ \$220}](https://tex.z-dn.net/?f=C%3D%5Ctext%7B%20%5C%24220%7D)
The store gives a 35% discount, which means he will only pay 65% of the original cost;
![100\text{\%- 35\% = 65\%}](https://tex.z-dn.net/?f=100%5Ctext%7B%5C%25-%2035%5C%25%20%3D%2065%5C%25%7D)
The store price is;
![\begin{gathered} P=\text{ 65\% of \$220} \\ P=\frac{65}{100}\times\text{ \$220} \\ P=\text{ \$143} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20P%3D%5Ctext%7B%2065%5C%25%20of%20%5C%24220%7D%20%5C%5C%20P%3D%5Cfrac%7B65%7D%7B100%7D%5Ctimes%5Ctext%7B%20%5C%24220%7D%20%5C%5C%20P%3D%5Ctext%7B%20%5C%24143%7D%20%5Cend%7Bgathered%7D)
Also he will need to pay additional 8% sales tax on the discounted price P;
![\begin{gathered} t=8\text{\% of P} \\ t=8\text{\% of \$143} \\ t=\frac{8}{100}\times\text{ \$143} \\ t=\text{ \$11.44} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20t%3D8%5Ctext%7B%5C%25%20of%20P%7D%20%5C%5C%20t%3D8%5Ctext%7B%5C%25%20of%20%5C%24143%7D%20%5C%5C%20t%3D%5Cfrac%7B8%7D%7B100%7D%5Ctimes%5Ctext%7B%20%5C%24143%7D%20%5C%5C%20t%3D%5Ctext%7B%20%5C%2411.44%7D%20%5Cend%7Bgathered%7D)
The final cost he need to pay is the sum of the discounted price and the sales tax;
![\begin{gathered} F=P+t \\ F=\text{ \$143 + \$11.44} \\ F=\text{ \$154.44} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20F%3DP%2Bt%20%5C%5C%20F%3D%5Ctext%7B%20%5C%24143%20%2B%20%5C%2411.44%7D%20%5C%5C%20F%3D%5Ctext%7B%20%5C%24154.44%7D%20%5Cend%7Bgathered%7D)
Therefore, the final cost for him is;
Answer:
x<7/2
Step-by-step explanation:
5+8x<3(2x+4)
5+8x<6x+12
8x-6x<12-5
2x<7
x<7/2