Answer:
B. The fixed rental for the book
Step-by-step explanation:
Kylie borrowed a book from a library. The library charged a fixed rental for the book and a late fee for every day the book was overdue. The expression below shows the charges Kylie paid for the book when she returned it x days after the due date:
2 + 0.25x
What does the constant term of the expression represent? (1 point)
A. The late fee for the book
B. The fixed rental for the book
C. The number of books borrowed
D. The number of days the book was overdue
Solution
Given expression
2 + 0.25x
The constant term is 2 which represent the fixed rental fee for the book
The term 0.25x represent the amount charged for late fee for x days
$0.25 is charge per day after due date
x = number of due date
You will need 119 cups to sell all of the lemonade.
Step-by-step explanation:
Given,
Diameter of cups = 9 cm
Radius of cup = ![\frac{Diameter}{2}=\frac{9}{2}=4.5\ cm](https://tex.z-dn.net/?f=%5Cfrac%7BDiameter%7D%7B2%7D%3D%5Cfrac%7B9%7D%7B2%7D%3D4.5%5C%20cm)
Height of cups = 12 cm
We will find volume of cup.
![Volume = \frac{1}{3}\pi r^2h\\](https://tex.z-dn.net/?f=Volume%20%3D%20%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2h%5C%5C)
Putting all the values
![Volume=\frac{1}{3}(3.14)(4.5)^2(12)\\\\Volume=\frac{1}{3}(3.14)(20.25)(12)\\\\Volume= \frac{763.02}{3}\\\\Volume= 254.34\ cm^3](https://tex.z-dn.net/?f=Volume%3D%5Cfrac%7B1%7D%7B3%7D%283.14%29%284.5%29%5E2%2812%29%5C%5C%5C%5CVolume%3D%5Cfrac%7B1%7D%7B3%7D%283.14%29%2820.25%29%2812%29%5C%5C%5C%5CVolume%3D%20%5Cfrac%7B763.02%7D%7B3%7D%5C%5C%5C%5CVolume%3D%20254.34%5C%20cm%5E3)
Therefore;
Each cup can hold 254.34 cubed centimeter of lemonade.
Number of gallons = 8
1 gallon = 3785 cm³
8 gallons = 3785*8 = 30280 cm³
Let,
x = Number of cups
Volume of lemonade in one cup * Number of cups = Volume of 8 gallons
254.34x=30280
Dividing both sides by 254.34
![\frac{254.34x}{254.34}=\frac{30280}{254.34}\\x=119.05](https://tex.z-dn.net/?f=%5Cfrac%7B254.34x%7D%7B254.34%7D%3D%5Cfrac%7B30280%7D%7B254.34%7D%5C%5Cx%3D119.05)
Rounding off to nearest whole number
x = 119
You will need 119 cups to sell all of the lemonade.
Keywords: volume, division
Learn more about volume at:
#LearnwithBrainly
Answer:
As per the statement:
Adult red wolves vary in length from 137.16 cm to 168.64 cm.
To find the difference in length between the longest and shortest of these wolves.
Longest length of wolves = 168.64 cm
Shortest length of wolves= 137.16 cm
Then;
= ![\text{Length of longest wolves} -\text{Length of shortest wolves}](https://tex.z-dn.net/?f=%5Ctext%7BLength%20of%20longest%20wolves%7D%20-%5Ctext%7BLength%20of%20shortest%20wolves%7D)
Substitute the given values we have;
= 168.64 - 137.16 = 31.48 cm
therefore, the difference in length between the longest and shortest of these wolves is 31.48 cm
Answer:
The values is
Step-by-step explanation:
From the question we are told that
The population mean is ![\mu = 2.45](https://tex.z-dn.net/?f=%5Cmu%20%20%3D%20%202.45)
The standard deviation is ![\sigma = 0.35 \ mi](https://tex.z-dn.net/?f=%5Csigma%20%20%3D%200.35%20%5C%20mi)
The random value is ![x = 2.03](https://tex.z-dn.net/?f=x%20%3D%20%20%202.03)
The standardized score for a binding site position of 2.03 microns is mathematically represented as
![z-score = \frac{x - \mu}{ \sigma }](https://tex.z-dn.net/?f=z-score%20%20%3D%20%20%5Cfrac%7Bx%20-%20%20%5Cmu%7D%7B%20%5Csigma%20%7D)
=> ![z-score = \frac{2.03 - 2.45}{ 0.35}](https://tex.z-dn.net/?f=z-score%20%20%3D%20%20%5Cfrac%7B2.03%20-%20%202.45%7D%7B%200.35%7D)
=> ![z-score = -1.2](https://tex.z-dn.net/?f=z-score%20%20%3D%20%20-1.2)