The price of the book is 125% higher than the price of the notebook if the price of a notebook is 20% less than the price of a book.
<h3>What is the percentage?</h3>
It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.
Let x is the price of the book
And y is the price of the notebook,
Then,
y = x- 0.20x = 0.80x
x = (1/0.80)y
x = 1.25y
So x is 1.25 or 125% higher than the, y
Thus, the price of the book is 125% higher than the price of the notebook if the price of a notebook is 20% less than the price of a book.
Learn more about the percentage here:
brainly.com/question/8011401
#SPJ1
Separate into two groups
y^3(5y+4) + 5(5y+4)
(y^3 + 5)(5y + 4)
Perpendicular lines have opposite reciprocal slopes.
x = 4 has a slope of undefined since it is a vertical line.
It's undefined because 1/0 = undefined. We can't divide by 0.
The opposite reciprical of 1/0 is -0/1, which equals to 0.
Any line with a slope of 0 is:
y = 0x + b
y = b
This line goes through the point of (3, 5).
Since the equation starts with y = something, we have to use the y-value of the point it goes through. The point is in the form of (x, y).
5 is in the y-value.
<span>The equation of the perpendicular line is </span>y = 5<span>.</span>
Step-by-step explanation:
Ques 1)
abc: 15 = 16 rest 1
that means that if abc is divided by 15 than we get the quotient as 16 and remainder as 1.
Hence using : dividend=divisor×quotient+remainder we have:
abc=15×16+1
Hence, the value of abc is 241.
Ques 2)
a)
486: x = 17
i.e. 
⇒ x=486×17=8262
b)
y: 18 = 35 rest 1
that means when y is divided by 18 we get the quotient as 35 and remainder as 1.
Hence using : dividend=divisor×quotient+remainder we have:
y=35×18+1=631
y=631
c)
730: z = 27 rest 1
that means when 730 is divided by z we get the quotient as 27 and remainder as 1.
Hence using : dividend=divisor×quotient+remainder we have:
730=27z+1
27z=730-1
27z=729
z=27 (dividing both side by 27)
Ques 3)
Let'a' and 'b' denote the two natural numbers such that a is greater than 'b'.
a-b=70----(1)
also when a is divided by b then we get the quotient as 8 and some remainder.
Let the remainder be 'r'.
this means a=8b+r
let us consider r=0.
a=8b
hence from (1) we have
7b=70
b=10 (on dividing both side by 7)
hence a=80.
when r=1,2,3,4,5,6
we do not get a natural number as value for a and b.
also when r=7 we get the value of b=9 and a=79
After r>7 we get the value of b<r such a condition is not possible.
we conclude that for 500 miles, both plans will have the same cost.
<h3>
For how many miles both plans have the same cost?</h3>
Plan A charges a fixed amount of $75, plus $0.10 per mile, so if you drive x miles, the cost equation is:
A(x) = $75 + $0.10*x
For plan B we will have the similar equation:
B(x) = $100 + $0.05*x
The cost is the same in both plans when:
A(x) = B(x)
So we need to solve the linear equation:
$75 + $0.10*x = $100 + $0.05*x
$0.10*x - $0.05*x = $100 - $75
$0.05*x = $25
x = $25/$0.05 = 500
So we conclude that for 500 miles, both plans will have the same cost.
If you want to learn more about linear equations:
brainly.com/question/1884491
#SPJ1
