Answer:
c 
Step-by-step explanation:
![113,391 = 4\frac{9}{10}[2\frac{1}{10}]^{2} + 135 \\ \\ 113 ≈ h](https://tex.z-dn.net/?f=113%2C391%20%3D%204%5Cfrac%7B9%7D%7B10%7D%5B2%5Cfrac%7B1%7D%7B10%7D%5D%5E%7B2%7D%20%2B%20135%20%5C%5C%20%5C%5C%20113%20%E2%89%88%20h)
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Answer:
Step-by-step explanation:
The equation of a circle is:
(x - h)² + (y - k)² = r²
where (h, k) is the center and r is the radius.
So here, the center is (-2, 4), and the radius is 5.
Here's a graph: desmos.com/calculator/5zqdaam1w2
Answer:
41.5
23.5
Step-by-step explanation:
Let's start by calling the two numbers we are looking for x and y.
The sum of x and y is 65. In other words, x plus y equals 65 and can be written as equation A:
x + y = 65
The difference between x and y is -18. In other words, x minus y equals -18 and can be written as equation B:
x - y = -18
Now solve equation B for x to get the revised equation B:
x = -18 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 65
-18+y+y=65
-18 + 2y = 65
2y = 83
y = 41.5
Now we know y is 41.5. Which means that we can substitute y for 41.5 in equation A and solve for x:
x + y = 65
x + 41.5= 65
X = 23.5
DIfference : 23.5 - 41.5 = 18
Sum: 41.5 +23.5 = 65
Hence, The two number are 23.5 and 41.5
[RevyBreeze]
Answer:
5 hrs 19.57 Minutes will be taken to prepare 1575 Bags by Ashley & her 4 friends if Ashley take 2/3 minute to prepare a bag & her each friend takes 75% Longer
Step-by-step explanation:
Ashley Takes 2/3 minute to prepare a bag
=> ashley prepare bag in 1 minute = 3/2
Her friends takes 75% Longer to prepare a bag
time taken by her friends = 2/3 + (75/100)(2/3)
= (2/3)( 1 + 3/4)
= (2/3)(7/4)
= 7/6 Minutes
Her one friend prepare bag in 1 minute = 6/7
Bag prepared by Ashley & her 4 friend in 1 Minute
= 3/2 + 4*6/7
= (21 + 48)/14
= 69/14 Bag
69/14 Bag prepared in 1 minute
1 Bag prepared in 14/69 minutes
1575 bags prepared in 1575 * 14/69
= 319.57 minutes
= 5 hrs 19.57 Minutes
For this case we must simplify the following expression:
We have that by definition of properties of powers that is fulfilled:
Then, rewriting the expression:
Answer:
