Answer:
The 45% off discount saves an additional $10 compared to the 15% discount for a total of $15 off regular price.
Step-by-step explanation:
We can find the original price of the game through a proportion. A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities. For example, we will compare percent over percent to an equal ratio of $ to $. Since 15% of 100% is the same ratio as $5 to the unknown original $ price, I write:
![\frac{15}{100} =\frac{5}{y}](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B100%7D%20%3D%5Cfrac%7B5%7D%7By%7D)
I can now cross-multiply by multiplying numerator and denominator from each ratio.
![15y=100(5)\\15y=500](https://tex.z-dn.net/?f=15y%3D100%285%29%5C%5C15y%3D500)
I now solve for y by dividing by 15.
![\frac{15y}{15} =\frac{500}{15} \\y= 33.33333....](https://tex.z-dn.net/?f=%5Cfrac%7B15y%7D%7B15%7D%20%3D%5Cfrac%7B500%7D%7B15%7D%20%5C%5Cy%3D%2033.33333....)
The original price was $33.34.
Now, we can find the amount if 45% off and then then compare the two discounts. To find the percent off I can multiply by 0.45(33.34)=15. The 45% off discount saves an additional $10 compared to the 15% discount.
Answer:
Here:
Step-by-step explanation:
You choose 2,4,6,8,10 as your solution points, or in other words the numbers you with substitute in for x.
The equation is:
y= 1/2x+1
So what we would do is take one number from the list above (2,4,6,8.10) and put it in for are.
So, Thats how you do it, I attached a completed version of your paper below!
Answer:
One third the difference between 3/4 and 2/3 is ![(\frac{1}{36} )](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B36%7D%20%29)
Step-by-step explanation:
One third the difference of A and B = ![\frac{1}{3} \times (A-B)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%20%5Ctimes%20%28A-B%29)
Here, as given in the question:
![A = \frac{3}{4} , B = \frac{2}{3} \\\implies A - B = \frac{3}{4} - \frac{2}{3}\\=(\frac{3 \times 3 -2 \times 4}{12}) = (\frac{9-8}{12} ) = (\frac{1}{12})\\ \implies A - B = (\frac{1}{12})](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B3%7D%7B4%7D%20%2C%20B%20%3D%20%5Cfrac%7B2%7D%7B3%7D%20%5C%5C%5Cimplies%20A%20%20-%20B%20%3D%20%20%5Cfrac%7B3%7D%7B4%7D%20-%20%5Cfrac%7B2%7D%7B3%7D%5C%5C%3D%28%5Cfrac%7B3%20%5Ctimes%203%20-2%20%5Ctimes%204%7D%7B12%7D%29%20%20%3D%20%28%5Cfrac%7B9-8%7D%7B12%7D%20%29%20%3D%20%28%5Cfrac%7B1%7D%7B12%7D%29%5C%5C%20%5Cimplies%20%20A%20%20-%20B%20%3D%20%20%28%5Cfrac%7B1%7D%7B12%7D%29)
Now, one third of the difference is :
![(\frac{1}{3}) \times (\frac{1}{12}) = (\frac{1}{36})](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B3%7D%29%20%5Ctimes%20%28%5Cfrac%7B1%7D%7B12%7D%29%20%3D%20%20%20%28%5Cfrac%7B1%7D%7B36%7D%29)
Hence, one third the difference between 3/4 and 2/3 is ![(\frac{1}{36} )](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B36%7D%20%29)
Answer:
A.) 300 = $18x
B.) 277.50 = $9.25x
C.) 360 years
Step-by-step explanation:
So whats the answer. please help me I got a test of this