Answer:
<h2><em><u>
t = 15.2 is the answer</u></em></h2>
Step-by-step explanation:
<h2><em><u>
1. Make an equation</u></em></h2>
numbers to find perimeter = perimeter
Side + Side + 2 unknown sides = perimeter
12 + 7.8 + 2t = 50.2
<h2><em><u>
2. Simplify like terms</u></em></h2>
19.8 + 2t = 50.2
<h2><em><u>
3. Solve</u></em></h2>
19.8 + 2t = 50.2
-19.8 - 19.8
2t = 30.4
<h2><em><u>
t = 15.2</u></em></h2>
<h2><u><em>
4. Check:</em></u></h2>
12 + 7.8 + t + t = 50.2
12 + 7.8 + (15.2) + (15.2) = 50.2
<h2><em><u>
50.2 = 50.2</u></em> Correct!</h2><h2 />
Hope this helped,
Kavitha
![5N^2=2^2 \times 5^{7} \times x^{8}](https://tex.z-dn.net/?f=5N%5E2%3D2%5E2%20%5Ctimes%205%5E%7B7%7D%20%5Ctimes%20x%5E%7B8%7D)
Solution:
Given a number N in product of its prime factors.
![N=2 \times 5^{3} \times x^{4}](https://tex.z-dn.net/?f=N%3D2%20%5Ctimes%205%5E%7B3%7D%20%5Ctimes%20x%5E%7B4%7D)
Now, express
as a product of prime factors in index form.
Substitute
in place of N.
![5N^2=5\times(2 \times 5^{3} \times x^{4})^2](https://tex.z-dn.net/?f=5N%5E2%3D5%5Ctimes%282%20%5Ctimes%205%5E%7B3%7D%20%5Ctimes%20x%5E%7B4%7D%29%5E2)
Use exponential rule: ![\left(a^{m}\right)^{n}=a^{m n}](https://tex.z-dn.net/?f=%5Cleft%28a%5E%7Bm%7D%5Cright%29%5E%7Bn%7D%3Da%5E%7Bm%20n%7D)
Multiply the power 2 into the powers of factors of every number in the bracket.
![5N^2=5\times2^2 \times 5^{6} \times x^{8}](https://tex.z-dn.net/?f=5N%5E2%3D5%5Ctimes2%5E2%20%5Ctimes%205%5E%7B6%7D%20%5Ctimes%20x%5E%7B8%7D)
Arrange like terms together.
![5N^2=2^2 \times 5\times 5^{6} \times x^{8}](https://tex.z-dn.net/?f=5N%5E2%3D2%5E2%20%5Ctimes%205%5Ctimes%205%5E%7B6%7D%20%5Ctimes%20x%5E%7B8%7D)
Use exponential rule: ![a^{m} \times a^{n}=a^{m+n}](https://tex.z-dn.net/?f=a%5E%7Bm%7D%20%5Ctimes%20a%5E%7Bn%7D%3Da%5E%7Bm%2Bn%7D)
![5N^2=2^2 \times 5^{1+6} \times x^{8}](https://tex.z-dn.net/?f=5N%5E2%3D2%5E2%20%5Ctimes%205%5E%7B1%2B6%7D%20%5Ctimes%20x%5E%7B8%7D)
![5N^2=2^2 \times 5^{7} \times x^{8}](https://tex.z-dn.net/?f=5N%5E2%3D2%5E2%20%5Ctimes%205%5E%7B7%7D%20%5Ctimes%20x%5E%7B8%7D)
Hence
.
The domain and range for each line is all real numbers. This is because all numbers are possible to input into x and all y values exist.
The slope of the first line is -2/3 and the y intercept is 6. You can reach this conclusion by solving for y (putting it in slope intercept form).
The slope of the second one is 3/4. and the y intercept is all real numbers greater than -4. This is true because it is an inequality and you can find these numbers by solving for y.
Answer:
x = 70
Step-by-step explanation:
180* (n-2)
180*(6-2)
180*(4) = 720
102 + 146 + 120 + 124 + 158 = 650
720 - 650 = 70
Marcus sold 8 cups of lemonade and 3 bags of peanuts. 0.75 times 8 equals $6.00. 0.35 times 3 equals $1.05. $6.00+ $1.05= $7.05. Your welcome dude