Answer: The correct option is (A) 
Step-by-step explanation: Given that Raymond has 120 books on his bookshelf that he has not read. He plans on reading 3 books per week until there are only 24 books that he still needs to read.
We are to find the equation that can be used to determine the number of weeks it will take Raymond to have only 24 books left.
Also, we are to find the number of weeks.
The number of weeks it will take Raymond to have only 24 books left is represented by 'w'.
We have
number of books read by Raymond is 1 week = 3.
So, number of books read by Raymond is w weeks = 3w.
Since, there are total 120 books on his bookshelf, so the number of books left to read after w weeks will be
According to the given information, we get
thus, the required equation is 
and number of weeks is 32.
Option (A) is correct.
Answer
$168.75
Step-by-step explanation:
$22.50 per hour meaning every hour she gets 22.50
half an hour would be half the money so
22.50 * 7 = 157.50
22.50/2 = 11.25
157.50 + 11.25 = 168.75
168.75 is the answer
Oh, this is easy. For any prism, you find the surface area by finding the are of all the sides. I will post all surface area formulas here, for reference
Cube:
Surface area = 6 × a2
Right circular cylinder:
Surface area = 2 × pi × r2 + 2 × pi × r × h
pi = 3.14
h is the height
r is the radius
Rectangular prism:
Surface area = 2 × l × w + 2 × l × h + 2 × w × h
l is the length
w is the width
h is the height
Sphere:
Surface area = 4 × pi × r2
pi = 3.14
r is the radius
Right circular cone:
Surface area = pi × r2 + pi × r ×( √(h2 + r2))
pi = 3.14
r is the radius
h is the height
l is the slant height
Right square pyramid:
Surface area = s2 + 2 × s × l
s is the length of the base
h is the height
l is the slant height
Answer:
I got (1,2).
Step-by-step explanation:
Process of elimination:
Multiply the second equation by 3 to get same terms, subtract and solve for Y to get 2.
Plug 2 into second equation for Y to get x=1
(1,2)
Answer:
f(x) = 1/2(4 - x)(x - 1)(x - 2)
Step-by-step explanation:
Considering zero's and a coefficient, the function is:
f(x) = a(x - 4)(x - 1)(x - 2)
Considering y-intercept:
f(0) = a(0 - 4)(0 - 1)(0 - 2)
4 = a(-4)(-1)(-2)
4 = -8a
a = -1/2
So the function is:
f(x) = -1/2(x - 4)(x - 1)(x - 2) = 1/2(4 - x)(x - 1)(x - 2)
