Solomon has read 1/3 of his book. He finishes the book by reading the same amount each night for 5 nights.
1 answer:
Answer:
A - Solomon read of the book each night.
B - The total number of pages in the book are 105.
Step-by-step explanation:
We are given that,
Solomon has read of a book.
So, of the book is left to be read.
Ques A: We have that,
In 5 nights, Solomon read of the book.
So, on 1 night, he will read, =
of the book.
Thus, Solomon read of the book each night.
Ques B: Let the total pages of the book = x.
Solomon reads 14 pages in 1 night. So, he reads, 14 × 5 = 70 pages in 5 nights.
Since, these 70 pages represent the of the book, he read in 5 nights.
So, of the total pages = 70
i.e.
i.e. x= 105
Hence, the total number of pages in the book are 105.
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Answer:
The maximum cost is 41 dollars per necklace.
Step-by-step explanation:
The average cost in dollars/necklace is given by :
.....(1)
Where
x is the number of necklaces that are created
To maximize the cost, find the value of x by putting dC/dx = 0
Now put the value of x = 7 in equation (1).
Hence, the maximum cost is 41 dollars per necklace.
(a) Linear Equation:
(b) x-intercept : (10,0)
(c) y-intercept : (0,200)
(d) Domain : {0,1,2,3,4,5,6,7,8,9,10}
Range : {0,1,2,...,200}
Step-by-step explanation:
Step 1: As we can see in graph, money in Carla is decreasing in multiples of 20 can be referred as 20x.
Every week $20 is getting deducted from the total amount of $200.
Step 2: (a) So we can quote it in equation as,
where x represents number of weeks
Step 3: (b) x-intercept is where value of y becomes 0.
So, referring graph we can determine x intercept as x = 10. Point (10,0). which also means no money left in account.
Step 4: (c) y-intercept is where value of x becomes 0.
So, referring graph we can determine y intercept as y = 200. Point (0,200). which is starting value of money in account.
Step 5: (d) Domain : {0,1,2,3,4,5,6,7,8,9,10}
Range : {0,1,2,...,200}
