1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Stels [109]
3 years ago
7

A student reads 56 pages in 4 hours. How many pages will the student read in 7 hours? Do these quantities (number of pages read

and time) Vary directly or inversely? Find the constant of variation.
Mathematics
1 answer:
labwork [276]3 years ago
7 0

9514 1404 393

Answer:

  a) 98

  b) directly

  c) k = 14 pages per hour

Step-by-step explanation:

a) In order to answer the first question, we must assume that the number of pages varies directly with the amount of time. Further, we must find the constant of variation:

  p = kt

  56 = k(4)

  k = 56/4 = 14 . . . . pages per hour

Then in 7 hours, the student will read ...

  p = 14(7) = 98 . . . pages

__

b) As we said in part (a), the variation is direct.

__

c) As we found in part (a), the constant of variation is 14 pages per hour.

You might be interested in
The point R(-3,a,-1) is the midpoint of the line segment jointing the points P(1,2,b)
wlad13 [49]

Answer:

The values are:

  • a = -5/2
  • b = -6
  • c = -7

Step-by-step explanation:

Given:

  • P = (x₁, y₁, z₁) = (1, 2, b)  
  • Q =  (x₂, y₂, z₂) = (c, -7, 4)  
  • m = R = (x, y, z) = (-3, a, -1)

To Determine:

a = ?

b = ?

c = ?

Determining the values of a, b, and c

Using the mid-point formula

m\:=\:\left(\frac{x_1+x_2}{2},\:\frac{y_1+y_2}{2},\:\frac{z_1+z_2}{2}\right)

  • As the point R(-3, a, -1) is the midpoint of the line segment jointing the points P(1,2,b)  and Q(c,-7,4), so
  • m = R = (x, y, z) = (-3, a, -1)

Using the mid-point formula

m\:=\:\left(\frac{x_1+x_2}{2},\:\frac{y_1+y_2}{2},\:\frac{z_1+z_2}{2}\right)

given

(x₁, y₁, z₁) = (1, 2, b) = P

(x₂, y₂, z₂) = (c, -7, 4) = Q

m = (x, y, z) = (-3, a, -1) = R

substituting the value of (x₁, y₁, z₁) = (1, 2, b) = P,   (x₂, y₂, z₂) = (c, -7, 4) = Q, and m = (x, y, z) = (-3, a, -1) = R in the mid-point formula

m\:=\:\left(\frac{x_1+x_2}{2},\:\frac{y_1+y_2}{2},\:\frac{z_1+z_2}{2}\right)

\left(x,\:y,\:z\right)\:=\:\left(\frac{1+c}{2},\:\frac{2+\left(-7\right)}{2},\:\frac{b+4}{2}\right)

as (x, y, z) = (-3, a, -1), so

\left(-3,\:a,\:-1\right)\:=\:\left(\frac{1+c}{2},\:\frac{2+\left(-7\right)}{2},\:\frac{b+4}{2}\right)

<u>Determining 'c'</u>

-3 = (1+c) / (2)

-3 × 2 = 1+c

1+c = -6

c = -6 - 1

c = -7

<u>Determining 'a'</u>

a = (2+(-7)) / 2

2a = 2-7

2a = -5

a = -5/2

<u>Determining 'b'</u>

-1 = (b+4) / 2

-2 = b+4

b = -2-4

b = -6

Therefore, the values are:

  • a = -5/2
  • b = -6
  • c = -7
6 0
3 years ago
What is a linear function that relates to this table?
natima [27]
The linear function should be y=2 i apologize if i am wrong
5 0
3 years ago
I need help on this question please and thank you that would be great
NNADVOKAT [17]

Answer:

w independant a dependant

Step-by-step explanation:

4 0
3 years ago
David is buying a television that is regularly priced at $450.The television is on sale for 20% off. Sales tax is 7%.Whicj expre
Butoxors [25]

Answer:

The final price of the television is $502.20.

Step-by-step explanation:

The information provided is:

CP = $450

d% = 20%

s% = 7%

Compute the final price of the television as follows:

SP=CP\times (1 + s\%)\times (1-d\%)

     =450\times (1+0.20)\times (1-0.07)\\\\=502.2

Thus, the final price of the television is $502.20.

3 0
3 years ago
Please help with this, will mark brainliest!!!
-Dominant- [34]

Answer: \frac{3x-1}{8x-8}

Step-by-step explanation: PLEASE MARK BRAINLIEST

3 0
3 years ago
Read 2 more answers
Other questions:
  • A set of data has 12 pieces of data. Which of the following statements is NOT TRUE?
    15·1 answer
  • When you think of a multiplication fact that can help you solve a division problem, the quotient of the division will become wha
    9·2 answers
  • What 3-d shape is this?
    11·1 answer
  • A train traveled 720km in 9h. How far would it travel in 11 hr? How long would it take to go 1120km?
    10·2 answers
  • What is ungrouping in 3rd grade math?
    10·2 answers
  • Jimmy ran with a speed of m miles per hour. How far did he run in t minutes?
    6·1 answer
  • A study of the annual population of butterflies in the country park shows the population,B(t), can be represented by the functio
    5·1 answer
  • Hi can someone help me with the top question I will mark u brainliest
    14·1 answer
  • 3 3/4 ÷ 3/4 is equal to a) 5 b) 2 c) 3 d) 1
    15·2 answers
  • What is the rate of change from 2012 to 2016?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!