Step-by-step explanation:
As ANC are collinear,
AB+BC=AC
so,
18+BC = 41
BC = 41-18
BC = 23 is the answer.
<u>ANSWER:
</u>
The total cost of the skate board is $74.61.
<u>SOLUTION:
</u>
Given, Luis wants to buy a skateboard that usually sells for $79.99. all merchandise is discounted by 12%. luis has to pay a state sales tax of 6.75%.
We need to find what is the total cost of the skateboard.
Final cost is nothing but original amount subtracted by discount and added with tax.
final cost = original cost – discount + sales tax
Original cost = $79.99
Discount = 12% of original cost
![\begin{array}{l}{=12 \% \times 79.99} \\\\ {=\frac{12}{100} \times 79.99} \\\\ {=\frac{959.88}{100}} \\\\ {=9.5988}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7B%3D12%20%5C%25%20%5Ctimes%2079.99%7D%20%5C%5C%5C%5C%20%7B%3D%5Cfrac%7B12%7D%7B100%7D%20%5Ctimes%2079.99%7D%20%5C%5C%5C%5C%20%7B%3D%5Cfrac%7B959.88%7D%7B100%7D%7D%20%5C%5C%5C%5C%20%7B%3D9.5988%7D%5Cend%7Barray%7D)
discount is $9.6 approximately
Sales tax = 6% of cost after discounting
![\begin{array}{l}{=6 \% \times \text { (original cost - discount) }} \\\\ {=\frac{6}{100} \times(79.99-9.6)} \\\\ {=\frac{6}{100} \times(70.39)} \\\\ {=\frac{422.34}{100}} \\\\ {=4.2234}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7B%3D6%20%5C%25%20%5Ctimes%20%5Ctext%20%7B%20%28original%20cost%20-%20discount%29%20%7D%7D%20%5C%5C%5C%5C%20%7B%3D%5Cfrac%7B6%7D%7B100%7D%20%5Ctimes%2879.99-9.6%29%7D%20%5C%5C%5C%5C%20%7B%3D%5Cfrac%7B6%7D%7B100%7D%20%5Ctimes%2870.39%29%7D%20%5C%5C%5C%5C%20%7B%3D%5Cfrac%7B422.34%7D%7B100%7D%7D%20%5C%5C%5C%5C%20%7B%3D4.2234%7D%5Cend%7Barray%7D)
Sales tax is $4.22 approximately
Now, final cost = 79.99 – 9.6 + 4.22
= 84.21 - 9.6
= 74.61
Hence, the total cost of the skate board is $74.61
For starters, create an equation to show David's earnings. We can do this using Danielle's as a basis, which is set up as y=(# of hours)x+(bonus). This gives us y=12x+80. Now, as we need both their ys to be equal, we just set both equations equal to each other, making 15x+50=12x+80. Now, we solve for x, starting with 15x+50=12x+80, subtracting 12x from both sides to get 3x+50=80, subtracting 50 from both sides to get 3x=30, and dividing three from both sides to get x=10. To check, we just plug in our answer to both equations and see if the ys match up. With Danielle's equation, we get y=15(10)+50=150+50=200 and with David's equation, we get y=12(10)+80=120+80=200, proving that our answer is correct.
Answer:
Step-by-step explanation:
maybe 8 or 1/9
first you divide14 and 5 and you get 2.8 then you turn 2.8 into 2 8/10
2 8/10 is your answer