-- Draw a line, any length.
-- Draw another line, any length, that makes a square corner with the first one.
- Connect the open ends of the two lines to each other.
-- Bada-bing ! You have a right triangle. And it's in YOUR notebook.
Answer:
<em>or 704,000</em>
Step-by-step explanation:
<u>Standard Form of Numbers</u>
Any number that we can write as a decimal number between 1.0 and 10.0, multiplied by a power of 10, is said to be in Scientific Notation. Some authors consider standard form and scientific form as the same, but others state that standard form is the common form of expressing numbers, i.e., a sequence of digits, separated by thousands by a comma, and separated from the decimal part by a dot.
We'll give here both answers.
We have to calculate:
![6.72\cdot 10^{5}+3.2\cdot 10^{4}](https://tex.z-dn.net/?f=6.72%5Ccdot%2010%5E%7B5%7D%2B3.2%5Ccdot%2010%5E%7B4%7D)
Since the numbers don't have the same exponent, we must make them equal. Let's make the second number have an exponent of 5, by dividing by 10:
![6.72\cdot 10^{5}+3.2\cdot 10^{4}=6.72\cdot 10^{5}+3.2/10\cdot 10^{5}](https://tex.z-dn.net/?f=6.72%5Ccdot%2010%5E%7B5%7D%2B3.2%5Ccdot%2010%5E%7B4%7D%3D6.72%5Ccdot%2010%5E%7B5%7D%2B3.2%2F10%5Ccdot%2010%5E%7B5%7D)
![6.72\cdot 10^{5}+3.2\cdot 10^{4}=6.72\cdot 10^{5}+0.32\cdot 10^{5}](https://tex.z-dn.net/?f=6.72%5Ccdot%2010%5E%7B5%7D%2B3.2%5Ccdot%2010%5E%7B4%7D%3D6.72%5Ccdot%2010%5E%7B5%7D%2B0.32%5Ccdot%2010%5E%7B5%7D)
Now we add:
![6.72\cdot 10^{5}+3.2\cdot 10^{4}=7.04\cdot 10^{5}](https://tex.z-dn.net/?f=6.72%5Ccdot%2010%5E%7B5%7D%2B3.2%5Ccdot%2010%5E%7B4%7D%3D7.04%5Ccdot%2010%5E%7B5%7D)
It's correctly expressed in scientific notation. Now to convert to 'standard form', multiply by
:
![6.72\cdot 10^{5}+3.2\cdot 10^{4}=7.04*100,000=704,000](https://tex.z-dn.net/?f=6.72%5Ccdot%2010%5E%7B5%7D%2B3.2%5Ccdot%2010%5E%7B4%7D%3D7.04%2A100%2C000%3D704%2C000)
<h2>○=> <u>Correct answer</u> :</h2>
of the drink is fruit juice
<h3>○=> <u>Steps to derive correct answer</u> :</h3>
Quantity of water in a drink = 650 ml
Quantity of fruit juice in a drink = 150 ml
Total quantity of both items in the drink :
![=\tt 650 + 150](https://tex.z-dn.net/?f=%20%3D%5Ctt%20650%20%2B%20150)
![\color{plum}=\tt 800 \: ml](https://tex.z-dn.net/?f=%20%5Ccolor%7Bplum%7D%3D%5Ctt%20800%20%5C%3A%20ml)
Thus, the total quantity of both items in the drink = 800 ml
Let the percentage of of fruit juice in the drink be x%.
Which means :
![= \tt\frac{x}{100} \times 800 = 150](https://tex.z-dn.net/?f=%20%3D%20%20%5Ctt%5Cfrac%7Bx%7D%7B100%7D%20%20%5Ctimes%20800%20%3D%20150)
![= \tt \frac{x \times 800}{100} = 150](https://tex.z-dn.net/?f=%20%3D%20%5Ctt%20%5Cfrac%7Bx%20%5Ctimes%20800%7D%7B100%7D%20%20%3D%20150)
![=\tt \frac{800x}{100} = 150](https://tex.z-dn.net/?f=%20%3D%5Ctt%20%20%5Cfrac%7B800x%7D%7B100%7D%20%20%3D%20150)
![=\tt 8x = 150](https://tex.z-dn.net/?f=%20%3D%5Ctt%208x%20%3D%20150)
![=\tt x = \frac{150}{8}](https://tex.z-dn.net/?f=%20%3D%5Ctt%20x%20%3D%20%20%5Cfrac%7B150%7D%7B8%7D%20)
![\hookrightarrow\color{plum} \bold{x = 18.75\%}](https://tex.z-dn.net/?f=%5Chookrightarrow%5Ccolor%7Bplum%7D%20%5Cbold%7Bx%20%3D%2018.75%5C%25%7D)
Then, the percentage of water in the drink :
![= \tt100 - 18.75](https://tex.z-dn.net/?f=%20%3D%20%5Ctt100%20-%2018.75)
![\color{plum}= \tt81.25\%](https://tex.z-dn.net/?f=%20%5Ccolor%7Bplum%7D%3D%20%5Ctt81.25%5C%25)
Thus, the percentage of water in the drink = 81.25%
<h3>○=> <u>Therefore</u> :</h3>
▪︎Percentage of fruit juice in the drink = 18.75%
▪︎Percentage of water in the drink = 81.75%
Answer:$2343.28 for the turkey
Step-by-step explanation:
1,723lbs*$1.36=$2,342.28