Answer:
52.4
Step-by-step explanation:
40 hundredths as a decimal is 40/100 which is .40.
The "fifty two" is a whole number which is in front of the ".40" which makes 52.4 or 52.40.
<u><em>Answer:</em></u>
Part a .............> x = 11
Part b .............> k = 57.2
Part c .............> y = 9.2
<u><em>Explanation:</em></u>
The three problems deal with inverse variation between two variables
An inverse variation relation between two variables means that when one of the variables increases, the other will decrease (and vice versa)
<u>Mathematically, an inverse variation relation is represented as follows:</u>

where x and y are the two variables and k is the constant of variation
<u><em>Now, let's check the givens:</em></u>
<u>Part a:</u>
We are given that y = 3 and k = 33
<u>Substitute in the original relation and solve for x as follows:</u>

<u>Part b:</u>
We are given that y = 11 and x = 5.2
<u>Substitute in the original relation and solve for k as follows:</u>

<u>Part c:</u>
We are given that x=7.8 and k=72
<u>Substitute in the original relation and solve for y as follows:</u>
to the nearest tenth
Hope this helps :)
Answer:
True
Step-by-step explanation:
- 4 ÷ 7 = 0.5714
- 18 ÷ 31.5 = 0.5714
- Because they are the same result, the two fractions are equal. Therefore, the equation is true.
I hope this helps!
Answer:
- <em>The net change in how many bags are on the shelf, from the beginning of Tuesday to the end of Monday is -</em><u>2.</u>
Explanation:
The change in the number of bags any day is the number of bags is equal to the number of bags purchased to restock less the number of bags sold that day.
- Change = bags purchased to restock - bags sold
At the end of <em>Tuesday</em>, the change is:
- Change: 6 - 5 = 1 (note that this means that the number of bags increases by 1)
At the end of <em>Wednesday</em>, the change is:
- Change: 12 - 8 = 4 (the number of bags increases by 4)
At the end of <em>Thursday</em>, the change is:
- Change: 12 - 2 = 10 (the number of bags increases by 10)
At the end of <em>Friday</em>, the change is:
- Change: 18 - 19 = - 1 (the number of bags decreases by 1).
At the end of <em>Saturday</em>, the change is:
- Change: 24 - 22 = 2 (the number of bags increases by 2).
At the end of <em>Sunday</em>, the change is:
- Change: 0 - 15 = - 15 (the number of bags decreases by 15).
At the end of <u>Monday</u>, the change is:
- Change: 0 - 3 = - 3 (the number of bags decreases by 3).
The net change in how many bags are on the shelf, from the beginning of Tuesday to the end of Monday equals the algebraic sum of every change:
- Net change = 1 + 4 + 10 + (-1) + 2 + (-15) + (-3)
- Using associative property: (1 + 4 + 10 + 2) - (1 + 15 +3)
- Simplifying: 17 - 19 = -2
<u>Conclusion</u>: the net change in how many bags are on the shelf, from the beginning of Tuesday to the end of Monday is -2, meaning that the number of bags, after taking into account all sales and restock, decreases by 2.
Answer:
Step-by-step explanation:
For this case we must determine the inverse of the following function:

Step 1:
We would write
or 
Step 2:
We clear x:


Step 3:
"x" and "y" are exchanged:

The inverse is:
