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Reptile [31]
2 years ago
8

Jamie can read at a speed of 65 pages per hour. If she reads a novel that has 400 pages, how long will it

Mathematics
1 answer:
horsena [70]2 years ago
8 0
To find the answer set up an equation:
400 \: pages \times  \frac{1 \: hour}{65 \: pages}  =
Using this set up we can cross our units of pages since they are on opposite side of the proportion, leaving us with the desired units of hours.

Then divide 400 by 65 which will give us our answer: 6.15 or about 6 hours for Jamie to finish her reading.
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What is the least positive integer divisible by each of the first five composite numbers
Sonbull [250]

Answer:

the answer is 360. the first composite numbers are 4,6,8,9,10

and all the numbers above are divisible by 360

360÷4=90

360÷6=60

360÷8=45

360÷9=40

360÷10=36

6 0
3 years ago
How do I find this, what’s the formula to find the 20th term and can anyone explain the formula? Will award brainliest
harina [27]

Answer:

  • f(n) = n^2 +1
  • f(20) = 401

Step-by-step explanation:

The first differences of the sequence are ...

  • 5-2 = 3
  • 10-5 = 5
  • 17-10 = 7
  • 26-17 = 9
  • 37-26 = 11

Second differences are ...

  • 5 -3 = 2
  • 7 -5 = 2
  • 9 -7 = 2
  • 11 -9 = 2

The second differences are constant, so the sequence can be described by a second-degree polynomial.

We can write and solve three equations for the coefficients of the polynomial. Let's define the polynomial for the sequence as ...

  f(n) = an^2 + bn + c

Then the first three terms of the sequence are ...

  • f(1) = 2 = a·1^2 + b·1 + c
  • f(2) = 5 = a·2^2 +b·2 + c
  • f(3) = 10 = a·3^2 +b·3 +c

Subtracting the first equation from the other two gives ...

  3a +b = 3

  8a +2b = 8

Subtracting the first of these from half the second gives ...

  (4a +b) -(3a +b) = (4) -(3)

  a = 1 . . . . . simplify

Substituting into the first of the 2-term equations, we get ...

  3·1 +b = 3

  b = 0

And substituting the values for a and b into the equation for f(1), we have ...

  1·1 + 0 + c = 2

  c = 1

So, the formula for the sequence is ...

  f(n) = n^2 + 1

__

The 20th term is f(20):

  f(20) = 20^2 +1 = 401

_____

<em>Comment on the solution</em>

It looks like this matches the solution of the "worked example" on your problem page.

4 0
3 years ago
A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is an hourly wage of ​23$. Opt
Gwar [14]

Step-by-step explanation:

  1. A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is an hourly wage of 23$. Option B is a commission rate of 4% on weekly sales. How much does she need to sell this week to earn the same amount with the two options?
  2. A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is an hourly wage of 23$. Option B is a commission rate of 4% on weekly sales. How much does she need to sell this week to earn the same amount with the two options?
  3. A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is an hourly wage of 23$. Option B is a commission rate of 4% on weekly sales. How much does she need to sell this week to earn the same amount with the two options?
7 0
3 years ago
Read 2 more answers
Please help me and fast
umka21 [38]
The answer is 17.3 :)
7 0
3 years ago
The slope of a line perpendicular to the line whose equation is y = 3x - 4 is
trapecia [35]

Answer:

m = -1/3

Step-by-step explanation:

y = 3x-4

This is in slope intercept form

y = mx+b  m is the slope and b is the y intercept

The slope is 3 and the y intercept is -4

We want the slope of a line that is perpendicular

Perpendicular lines have slopes that multiply to -1

Let m be the slope of the line that is perpendicular

3 * m = -1

Divide each side by 3

3m/3 = -1/3

m = -1/3

6 0
2 years ago
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