All categories

3 years ago

A Book has 1257 digits in it page numbers. How many pages does the book have?

1 answer:

6 0

Each page from 10 to 99, inclusive (so total of 90 pages) needs two digits (for example page 12 needs two digits: 1 and 2); Each page from 100 to 200, inclusive (so total of 101 pages) needs three digits (for example page 123 needs three digits: 1, 2 and 3)

You might be interested in

According to the Rational Root Theorem, which function has the same set of potential rational roots as the function g(x) = 3x^5

nata0808 [166]

Answer:

The correct option is A.

Step-by-step explanation:

The question is:

According to the Rational Root Theorem, which function has the same set of potential rational roots as the function g(x) = 3x5 – 2x4 + 9x3 – x2 + 12?

A).f(x) = 3x5 – 2x4 – 9x3 + x2 – 12

B).f(x) = 3x6 – 2x5 + 9x4 – x3 + 12x

C).f(x) = 12x5 – 2x4 + 9x3 – x2 + 3

D).f(x) = 12x5 – 8x4 + 36x3 – 4x2 + 48

Solution:

The function given to us is:

3x5 – 2x4 + 9x3 – x2 + 12

Find the factors of 12 and consider it as 'p'

The factors of 12 are:

p = +/- 1 , +/-2 , +/-3 , +/- 4 , +/-6

Now find the factors of 3 and consider it as 'q'

The factors of 3 are:

q = +/- 1 , +/- 3

We know that we write rational terms in p/q form.

Therefore the Rational roots are given by p/q

+/- 1 , +/-2 , +/-3 , +/- 4 , +/-6 , +/- 1/3 , +/- 2/3 , +/- 4/3

Now we will solve the first function given in part A.

f(x) = 3x^5 – 2x^4 - 9x^3 + x^2 - 12

Again find the factors of 12 and consider it as 'p'

The factors are:

p = +/- 1 , +/-2 , +/-3 , +/- 4 , +/-6

Now find the factors of 3 and consider it as 'q' .

q = +/- 1 , +/- 3

Rational root are given by p/q

+/- 1 , +/-2 , +/-3 , +/- 4 , +/-6 , +/- 1/3 , +/- 2/3 , +/- 4/3

Therefore the rational roots of the given function matches the rational roots of the given equation.

Hence the correct option is A

6 0

3 years ago

Three friends decided to exercise together four times a week to lose fatand increase muscle mass. While all three were healthier

gregori [183]

Answer:

6 pounds lost

Step-by-step explanation:

5+4 is 9 9-3 is 6 which means that in total, 6 pounds was lost

5 0

2 years ago

The sum of 2 numbers is 50. the second number is 5 times the first. what is the number.

sp2606 [1]

Let the first and smaller number be x. Since the second number is 5 times the first, the second number is 5x. We also know both of these numbers must add to 50; thus, we can create the following equation.

$x+5x=50$

Combine like terms

$6x = 50$

Divide both sides by 6

$x = 50/6 = 25/3 \approx 8.333$

This is the value of the first number. The number you're looking for isn't specified in the question description, so I'll just provide the value of the second number. The second number has to be 5 times the first.

Thus, we just multiply 5 to x.

$5x = 5(25/3) = 125/3 \approx 41.667$

That's the value of the second number.

3 0

3 years ago

Read 2 more answers

Sam has 4 gallons of juice. Each glass holds 1/5 of a gallon . How many glasses can he fill

Softa [21]

Answer:

Step-by-step explanation:

Divide 4 by 1/5 in decimal form, 1/5 in decimal form is 0.20. You can get the decimal form by dividing 1 by 5.

So 4/0.20 = 20.

6 0

3 years ago

Write an expression for "7 less than y."

lisov135 [29]

Answer:

(y - 7)

Step-by-step explanation:

"7 less than y" means just that.... that you have 7 fewer units then the value of y.

3 0

3 years ago