The students put recycling bins for cans and bottles in the cafeteria and teaches lounge. At the end of last week, there was a total of 48.9 pounds of cans and bottles. They split them evenly into 3 bags. How many pounds were in each bag?
Answers
Answer:
16.3
Step-by-step explanation:
There was a total of 48.9 pounds of cans and bottles
They were split evenly in 3 bags
Hence the number of each pounds in the bag can be calculated as follows
= 48.9/3
= 16.3
Hence 16.3 pounds are found in each bags
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Find the constant of variation k for the direct variation 2x +6y = 0
Plant 2 : P2 (x) = -0.02x^2 + 21x - 1700
Find polynomials representing the difference in profits between the companies. Find P1(x) - P2 (x) and P1 (x). Compare the two differences and draw conclusions. Show work and make a equation
Answers
P1(x) - P2(x) = -0.01x² + 4x + 200
This shows that P1(x) profit is less than P2(x).
P2(x) - P1x = 0.01x² - 4x - 200
This shows that P2(x) profit is more than P1(x).
What is a polynomial?
Polynomial is an equation written as the sum of terms of the form kx^n.
where k and n are positive integers.
We have,
Plant 1:
P1 (x) = -0.03x² + 25x - 1500
Plant 2:
P2 (x) = -0.02x² + 21x - 1700
P1(x) - P2(x):
= -0.03x² + 25x - 1500 - (-0.02x² + 21x - 1700)
= -0.03x² + 25x - 1500 + 0.02x² - 21x + 1700
= -0.01x² + 4x + 200
For any x value, we will get a negative value.
This means,
P1(x) profit is less than P2(x).
P2(x) - P1x:
= -0.02x² + 21x - 1700 - (-0.03x² + 25x - 1500)
= -0.02x² + 21x - 1700 + 0.03x² - 25x + 1500
= 0.01x² - 4x - 200
For any x value, we will get a positive value.
This means,
P2(x) profit is more than P1(x).
Thus,
P1(x) - P2(x) shows that P1(x) profit is less than P2(x).
P2(x) - P1x shows that P2(x) profit is more than P1(x).
Learn more about polynomials here:
#SPJ2
Answers
Complete question :
A store advertises a 20% markdown on a dishwasher with a selling price of $952. Find the sale price. This is the greatest possible markdown that the store can discount the dishwasher without losing money. What does this tell you about the cost?
Answer:
$761.60
Step-by-step explanation:
Given that :
Sales price = $952
Markdown % = 20%
Sales price = (100 - 20)% * $952
Sales price = 80% * $952
Sales price = $761.60
If 20% is the greatest possible markdown the store can give without losing money, then the price at which the store purchased the dishwasher is $761.60
Answers
Ascending order (greatest to least) would be 4.3, 3.4, 0.43
3
4
6
Answers
Q2 (median) = d5 = 2 //value in the middle
Q1 = (d2+d3) / 2 = (0+2)/2 = 1
(Q1 is middle value of d1,d2,d3,d4, but there is no middle element among four elements, that is why arithmetic mean is taken)
Q3 = (d7+d8) / 2 = (4+6)/2 = 5
interquantlie range = IQR = Q3 - Q1 = 5 -1 = 4
answer: 4
Answer:
Option C.
Step-by-step explanation:
The given data set is
0, 2, 4, 0, 2, 3, 2, 8, 6
Arrange the data in ascending order.
0, 0, 2, 2, 2, 3, 4, 6, 8
Divide the data set in 4 equal parts.
(0, 0), (2, 2), 2,( 3, 4), (6, 8)
Now, we get
The interquartile range formula:
The interquartile range of the data is 4. Therefore, option C is correct.
thank you
Answers
x > -15 - 4
x > -19
The answer is: x > -19.
3(x + 4)
3x(−12)
Prime
Answers
3(3x/3 - 12/3)
3(x - 4)
The answer is: 3(x - 4).