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
Novay_Z [31]
3 years ago
7

A page should have perimeter of 42 inches. The printing area within the page

Mathematics
1 answer:
Tamiku [17]3 years ago
7 0

Overall  dimensions of the page in order to maximize the printing area is  page should be 11 inches wide and 10 inches long .

<u>Step-by-step explanation:</u>

We have , A page should have perimeter of 42 inches. The printing area within the page  would be determined by top and bottom margins of 1 inch from each side, and the  left and right margins of 1.5 inches from each side. let's assume  width of the page be x inches  and its length be y inches So,

Perimeter = 42 inches

⇒ 2(x+y) = 42\\x+y = 21\\y = 21-x

width of printed area = x-3  & length of printed area = y-2:

area = length(width)

area = (x-3)(y-2)\\area = (x-3)(21-x-2)\\area = (x-3)(19-x)\\area = -x^{2} + 22x -57

Let's find \frac{d(area)}{dx}:

\frac{d(area)}{dx} = \frac{d(-x^{2}+22x-57)}{dx} = -2x +22 , for area to be maximum \frac{d(area)}{dx}= 0

⇒ -2x+22 = 0\\2x =22\\x=11 inches

And ,

y = 21-x\\y = 21-11\\y = 10 inches

∴ Overall  dimensions of the page in order to maximize the printing area is  page should be 11 inches wide and 10 inches long .

You might be interested in
18) through: (-3,-3), parallel to y = -x + 3​
otez555 [7]

Step-by-step explanation:

y + 3 = - (x + 3)

y + 3 = -x - 3

y = -x - 6

6 0
3 years ago
HELP HELP HELP HELP HELP
Deffense [45]

Answer:

please help brainly.com/question/23055780

Step-by-step explanation:

7 0
2 years ago
What is the value of x in the diagram below?
VARVARA [1.3K]

Answer:

<h2>7.2</h2>

option B is the right option.

Step-by-step explanation:

<h3>Using leg rule</h3>

\frac{bc}{ab}  =  \frac{ab}{bd}

Plug the values:

\frac{20}{12}  =  \frac{12}{x}

Apply cross product property

20 \times x = 12 \times 12

Calculate the product

20x = 144

divide both sides of the equation by 20

\frac{20x}{20}  =  \frac{144}{20}

Calculate:

x = 7.2

hope this helps..

Good luck...

4 0
3 years ago
Read 2 more answers
Customer- I recently saw an advertisement that said your company would give 5% discount to anyone who enrolls in your automatic
Darya [45]

Answer: $3.75

Step-by-step explanation:

The amount that you would save is 5% of your monthly bill of $75.

This amount is:

= 75 * 5%

= $3.75

<em>The total amount that you would pay is:</em>

<em>= 75 - 3.75</em>

<em>= $71.25</em>

4 0
3 years ago
Fraction from or decimal form but has to be rounded
Alekssandra [29.7K]

Answer:

x = \frac{25}{6}

Step-by-step explanation:

Given expression is,

2x-\frac{11}{4}x=-\frac{25}{8}

\frac{8x}{4}-\frac{11}{4}x=-\frac{25}{8}

\frac{8x-11x}{4}=-\frac{25}{8}

-\frac{3x}{4}=-\frac{25}{8}

\frac{3x}{4}\times 4=\frac{25}{8}\times 4

3x=\frac{25}{2}

\frac{3x}{3}=\frac{25}{2}\times \frac{1}{3}

x = \frac{25}{6}

5 0
2 years ago
Other questions:
  • Mindy spent $6.24 fir a new binder,$1.95 for a notebook,and $5.59 for a new pack of her favorite mechanical pencils. About how m
    6·1 answer
  • The base angle of an isosceles triangle measures 54°. What is the measure of its vertex angle?
    14·2 answers
  • When h has the value of 4 calculate 26-4h
    14·2 answers
  • Alex needs to buy compressed air to fill empty cylindrical tanks for his tire store. Each tank is 12 feet deep and has a radius
    6·1 answer
  • Simplify to create an equivalent expression.
    5·2 answers
  • What is ∑[100(−4)n−1] equal to?<br><br> 4 is on top<br> n=1 on bottom
    15·2 answers
  • PLEASE!!! I NEED HELP WITH THIS ASAP!!!
    13·1 answer
  • Darth Vader unleashed the dark side on the unsuspecting Jedi in 2 seconds. If he did 1725 J of work, how much power did he use?
    10·1 answer
  • A PLAY HAS PARTS FOR 12 BOYS AND 3 GIRLS. THERE ARE 5 LEAD ROLES FOR BOYS. ONE STUDENT IS INTERVIEWED FOR THE SCHOOL NEWSPAPER.
    12·1 answer
  • Which of the follow expressions are equivalent to (3^4)^-2 • (3^5)^3
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!