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
Vlad1618 [11]
2 years ago
14

Ok I have a question it says, " Ella can read 2 pages in 3 minutes. How long will it take her to read 45 pages?". So I just don'

t know how to do it . ' '/
Mathematics
1 answer:
Vaselesa [24]2 years ago
8 0

Answer:

67.5

Step-by-step explanation:

this gives you the basis of the problem, 2 pages every 3 minutes, so that means that you have to divide 45 by 2, this will give you 22.5

then you multiply by 3 because 22.5 is how many sets of 2 Ella has to read, and if we remember every set of 2 pages takes 3 minutes, so 22.5 times 3 is 67.5, but if you want the answer in time it would be 67 minutes and 30 seconds because a minute is 60 seconds and half of that is 30

You might be interested in
A rectangular package sent by a postal service can have a maximum combined length and girth (perimeter of a cross sectio) of 108
Morgarella [4.7K]

Answer:

The maximum volume of the package is obtained with a cross section of side 18 inches and a length of 36 inches.

Step-by-step explanation:

This is a optimization with restrictions problem.

The restriction is that the perimeter of the square cross section plus the length is equal to 108 inches (as we will maximize the volume, we wil use the maximum of length and cross section perimeter).

This restriction can be expressed as:

4x+L=108

being x: the side of the square of the cross section and L: length of the package.

The volume, that we want to maximize, is:

V=x^2L

If we express L in function of x using the restriction equation, we get:

4x+L=108\\\\L=108-4x

We replace L in the volume formula and we get

V=x^2L=x^2*(108-4x)=-4x^3+108x^2

To maximize the volume we derive and equal to 0

\dfrac{dV}{dx}=-4*3x^2+108*2x=0\\\\\\-12x^2+216x=0\\\\-12x+216=0\\\\12x=216\\\\x=216/12=18

We can replace x to calculate L:

L=108-4x=108-4*18=108-72=36

The maximum volume of the package is obtained with a cross section of side 18 inches and a length of 36 inches.

4 0
3 years ago
Read 2 more answers
Which is not equivalent to 45 over 75 ?
statuscvo [17]
D. 70% because 45/75=0.6 or 60% and 60% doesn't equal to 70%
Hope this helps!!
5 0
3 years ago
Read 2 more answers
Anthony purchased a T-shirt for $14.95 and a pair of pants for $21.35.
Mashutka [201]

Answer:

Anthony gave the sales clerk $40

Step-by-step explanation:

7 0
3 years ago
Find the perimeter of the quadrilateral.
levacccp [35]

<em><u>Question:</u></em>

Find the perimeter of the quadrilateral. if x = 2 the perimeter is ___ inched.

The complete figure of this question is attached below

<em><u>Answer:</u></em>

<h3>The perimeter of the quadrilateral is 129 inches</h3>

<em><u>Solution:</u></em>

The complete figure of this question is attached below

Given that, a quadrilateral with,

Side lengths are:

4x^2 + 8x\ inches \\\\3x^2-5x+20\ inches \\\\7x + 30\ inches \\\\31\ inches

The values of the side lengths when x = 2 are

(4x^2+8x)=(4\times 2^2+8\times 2)=(4\times 4+16)=16+16=32\ inch\\\\(3x^2-5x+20)=(3\times 2^2-5\times 2+20)=(3\times 4-10+20)=12+10=22\ inch\\\\(7x+30)=(7\times 2+30)=14+30=44\ inch

Perimeter of a quadrilateral = Sum of its sides

Perimeter of given quadrilateral = 32 + 22 + 44 + 31 = 129 inches

Thus perimeter of the quadrilateral is 129 inches

5 0
2 years ago
Find the two smallest possible solutions to part 1a​
bixtya [17]
<h3>Answer: A. 5/12, 25/12</h3>

============================

Work Shown:

12*sin(2pi/5*x)+10 = 16

12*sin(2pi/5*x) = 16-10

12*sin(2pi/5*x) = 6

sin(2pi/5*x) = 6/12

sin(2pi/5*x) = 0.5

2pi/5*x = arcsin(0.5)

2pi/5*x = pi/6+2pi*n or 2pi/5*x = 5pi/6+2pi*n

2/5*x = 1/6+2*n or 2/5*x = 5/6+2*n

x = (5/2)*(1/6+2*n) or x = (5/2)*(5/6+2*n)

x = 5/12+5n or x = 25/12+5n

these equations form the set of all solutions. The n is any integer.

--------

The two smallest positive solutions occur when n = 0, so,

x = 5/12+5n or x = 25/12+5n

x = 5/12+5*0 or x = 25/12+5*0

x = 5/12 or x = 25/12

--------

Plugging either x value into the expression 12*sin(2pi/5*x)+10 should yield 16, which would confirm the two answers.

7 0
2 years ago
Read 2 more answers
Other questions:
  • I need to know the answer
    7·1 answer
  • Find the factor of GCF 6x^2y+14xy^2-42xy-2x^2y^2 and find and factor of GCF 4y^3-2y^2
    9·1 answer
  • What is the first step in solving the equation 2a – 4 (a – 5) = 10?
    5·1 answer
  • 2. Which of the following numbers is not greater than -7.4
    5·1 answer
  • How to solve it don't understand a thing
    8·1 answer
  • Explain something that could not be true about the table below. how do you know ​
    13·2 answers
  • 6a to the 3/4 power<br> a=16
    7·1 answer
  • Donovan can type 45 words per minute. He needs to type a report that is 9 pages long each page has about 300 words. What is a re
    15·1 answer
  • 6x²+x-2 help me please​
    9·1 answer
  • This includes evaluate numerica expressions
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!