Answer:
13
Step-by-step explanation:
(4,-5)(-1,7)
If you make a triangle and use the Pythagorean Theorem, the two legs have a distance of 5 and 12. 5^{2}+12{2}=25+144=169. The square root of 169 is 13.
Answer:
<u>35 coins are "other" coins</u>
Step-by-step explanation:
72% of 125 coins were foreign. That means 28% of the coins are not foreign ("other coins").
28% 0f 125 = 0.28*125 = 35 coins were "other" coins
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:

I can now cross-multiply by multiplying numerator and denominator from each ratio.

I now solve for y by dividing by 15.

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.