Answer:
He will read 92 pages in an hour going by the current rate at which he reads
Step-by-step explanation:
The complete question is as follows;
Jamil found that he reads 1/5 of his 115 - page book in 1/4 of an hour. At this rate how many pages does he read in an hour
We proceed as follows;
If he reads 1/5 of 115 in 1/4 hour
1/5 of 115 pages refer to 1/5 * 115 = 23 pages
This means that he reads 23 pages in quarter of an hour
So in an hours the number of pages he will read will be 23 * 4 = 92 pages
The register contains 8 number of $20 bills and 13 number of $100 bills.
<h3>What is termed as the linear equation in two variables?</h3>
- A linear equation in two variables is one that is written in the form ax + by + c=0, where a, b, and c are real numbers as well as the coefficients of x and y, i.e. a and b, are not equal to zero.
Let 'x' be the of $20 bills.
Let 'y' be of $100 bills.
Total bill = 21
x+y = 21
y = -x+21 ......eq1
Now,
Total price = $1460.
20x + 100y = 1460
Put value of y from eq 1.
20x + 100(-x+21) = 1460
20x-100x+2100=1460
-80x=-640
x=8 (Number of $20 bill)
And,
-8+21=13
y=13 (Number of $100 bills)
Thus, the register contains 8 number of $20 bills and 13 number of $100 bills.
To know more about linear equation, here
brainly.com/question/4074386
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The complete question is-
A cash register contains $20 bills and $100 bills with a total value of $1460. If there are 21 bills total, then how many of each does the register contain?
Table 3 represents an arithmetic sequence.
Solution:
To find which table represents an arithmetic sequence:
In arithmetic sequence difference of each term is equal.
Table 1:
= –12 – (–6)
d = –6
= –24 – (–12)
d = –12
Here differences are not equal.
So table 1 not represents an arithmetic sequence.
Table 2:
= 9 – 7
d = 2
= 13 – 9
d = 4
Here differences are not equal.
So table 2 not represents an arithmetic sequence.
Table 3:
= 7.3 – 8.7
d = –1.4
= 5.9 – 7.3
d = –1.4
= 4.5 – 5.9
d = –1.4
= 3.1 – 4.5
d = –1.4
Here differences are equal.
So table 3 represents an arithmetic sequence.
<span> Simplifying
4x + 4y = 0
Solving
4x + 4y = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4y' to each side of the equation.
4x + 4y + -4y = 0 + -4y
Combine like terms:
4y + -4y = 0
4x + 0 = 0 + -4y
4x = 0 + -4y
Remove the zero:
4x = -4y
Divide each side by '4'.
x = -1y
Simplifying
x = -1y</span>
