A printer need to make a poster that will have a total poster area of 200 in^2 and will have 1 inch margins on the sides, a 2-inch margins on both the top and the bottom. What dimensions will give the largest printed area?

Answers

Answer 1

Answer:

The dimensions that will give the largest printed area of 132.1669 in^2 are

= Length x Width

= 15.20829 * 8.69045

Step-by-step explanation:

a) Data and Calculations:

Total poster area = 200 in^2

Side margins = 1 inch each

Top and bottom margins = 2 inches each

Let x = length of the full poster

then 200/x = width of the full poster

Therefore, the length of the printed area = x - 3.5

and the width of the printed area = (200/x)-2

Therefore, the Area of the Printed space = (x-3.5)((200/x)-2)

Solving for the Area (A) of the printed space, we have

 

A = (x-3.5)(-200/x2) + ((200/x)-2)

 

A = 700 -2x2

 

If the derivative is set to 0, we have:

0 = 700 -2x2

 

700 = 2x2

 

350 = x2

 

x = 18.70829  The original length

 

width = 10.69045

 

Therefore, the area of space available for printing is

 

15.20829  *  8.69045

 

= 132.1669 in^2


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Answer:

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Answers

Answer: There are 495 possible different sets of answers the could contain exactly 8 correct answers of false.

Basically, we are looking for the number of different ways of selecting 8 objects out of a set of 12 objects. Our objects are answers of false and the set is the test.

This is a combination problem. The formula would be:

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standard form (ax + by = c) to slope-intercept form (y = mx + b)

5x+7y= -21 (ANSWER?)

Answers

Answer:

y=-5/7x-3

Step-by-step explanation:

so, we need the equation to be in y=mx+b form.

The equation right now is 5x+7y=-21 in standard form.

We need to isolate y onto one side

Here's the equation:

5x+7y=-21

subtract 5x from both sides

7y=-5x-21

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Answers

Answer:

D

Step-by-step explanation:

her value is greater

Imagine your playing a game, you are currently level 5 and it takes 55 EXP to level up to level 6, each battle you fight you gain 3 EXP, how many battles would it take to level up? you don't have to show your work :).

Answers

Step-by-step explanation:

55 / 3 = 18.333.

Since it is a decimal, we round up to the nearest whole number.

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Answer:

Step-by-step explanation:

so divide 55 / 3 = 18.33333333  or 18 1/3 but.. you'll have to battle 19 times to level up

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Answers

Answer:

5/10= 1/2            4/12=1/3

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Step-by-step explanation:

Answer:

5/10 = 1/2

4/12 = 1/3

3/9 = 1/3

i believe these are the answers

If the slope is 2 and the y-intercept is 6, then the linear equation is 2y = 6x.
False
True

Answers

Answer:

False

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

Slope m = 2

y-intercept b = 6

Step 2: Write Function

Substitute into general form.

y = 2x + 6

Step 3: Compare

2y = 6x does not equal y = 2x + 6

ANSWER QUICK PLEASE THANK YOU!!! 7 1/2 divided by (4 1/2 - 5 1/8)=

Answers

Answer:

7 1/2 divided by (4 1/2 - 5 1/8)=-12

Step-by-step explanation:

PLZZ MARK BRAINLIEST!!!!

Answer is -12

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Answers

Answer:

-10

Step-by-step explanation:

Find f(x) = - x^2 + 2x first

f(3) = -(3)^2 + 2(3)

f(3) = - 9 + 6

f(3) = - 3

Now do f(3) - 7

f(3) - 7 = - 3 - 7

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Answers

Answer:

489

Step-by-step explanation:

Answer:

the answer is 489 I hope it helps.

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Answers

Answer:

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Step-by-step explanation:

If you distribute the 10 to 6r and 7 you would get 60r and 70. Thats what I got

Answer: 60r+70

Step-by-step explanation:

=(10) (6r+7)

=(10) (6r)+(10) (7)

=60r+70

The scale of a map is one and a 1/2 inch. :8 mi. Find the actual distance for each map distance. ​

Answers

Answer:

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Step-by-step explanation:

please help me please if some one answers my question next i will post 100 points free if some one answers this question please

Answers

Answer:

Step-by-step explanation:

a) the points (0,60)  and (6.0) are the intercept points for the graph of the car slowing down ( accelerating in the opposite direction than it's traveling)

we already know the slope of the line b/c that the rate at which it's slowing .. -10 =m  which is the slope of the line .. down 10

use the point-slope formula  y-y1 = m(x-x1) and plug in either given point for (x1,y1)

b) y -60 = -10(x-0)

y= -10x+60

thats the slope-intercept form of the equation

Answer:

[tex](0,60) = = > the \: vertical \: displacement \: of \: the \: automobile (y-intercept) \\ (6,0) = = > the \: horizontal \: displacement \: of \: the \: automobile (x-intercept) \\ equation \\ y = mx + c \\note = > m = \frac{(0 - 60)}{(6 - 0)} \\ m = - 10 \\ consider \: point \: (6,0) \\ from \: y = mx + c \\ substitute \: for \: y \: and \: x \\ 0 = (m)(6) + c \\ 0 = ( - 10 \times 6) + c \\ 0 = - 60 + c \\ c = 60 \\ substitute \: for \: c \: in \: y = mx + c \\ y = - 10x +60 \\ 10y = - x + 6[/tex]

Express the number 6.13 x 10
in decimal notation.

Answers

Answer:

I think its 61.3

Step-by-step explanation:

dont be mad if its wrong. also 10 has one zero so you move the decimal place once to the right

61.3

because you would move the decimal over.

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Answers

Answer:

b > 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Equality Properties

Step-by-step explanation:

Step 1: Define

3b + 12 > 27 - 2b

Step 2: Solve for b

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Answers

Answer:

127.1

Step-by-step explanation:

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Answers

Answer:

45

Step-by-step explanation:

Do prime factorization and multiply the factors the two numbers have in common.

The length of a room is 2 times it breadth and 5 times it height. If
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Answers

Answer:

please mark as brainliest!!!!

Step-by-step explanation:

https://brainly.in/question/14506690

39. If the letters A, B, C, D, E, F represent the numbers 4 to 9 in some
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C + E = 2F
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Answers

Answer:

8????? I dont really know.....

Best and correct answer gets BRAINLIEST!!!

Answers

Answer:

B

Step-by-step explanation:

Rise is 4/3x means that the point (4,3) will be on the line, and b is the only one which has (4,3).

Which line has a constant of proportionality between y and x (Slope) of 4/3?

4/3 = slope = rise over run

(Rephrase) Which line has a slope of 4/3? Go up 4 over 3 from the origin (since there is no y-intercept)

Only B goes up 4 and over 3 (has the slope of 4/3)

Answer: B

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2x-5y=-12

Answers

Answer:

If you are solving for y: y=12/5+2/5x

If you are solving for x=1

Step-by-step explanation:

write a congruence statement for each pair of congruent figures

Answers

Answer:

Triangles are congruent because all the corresponding sides and interior angles are congruent.

Step-by-step explanation: did it help? plz like if did

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Answers

Answer:

the two numbers are 8 and 8

Answer:

The 2 numbers for the sum are 9 and 10

The price of an item has been reduced by 10%. The original price was $21.
Use the ALEKS calculator to find the price of the item now.

Answers

Answer:

$18.90

Step-by-step explanation:

Multiply the original price by the percentage

$21 x 10% = $2.10

You then subtract this from the original to get the discounted price

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HELP ME PLEASE AND THANK YOU..

Answers

After two weeks she will have $60, after 6 she’ll have $180, jenna’s rate of change is $30 per week

For each equation, determine whether it is linear.

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Answers

Answer:

b

Step-by-step explanation:

Johnny takes an Uber to a toy store to buy some slime. Each container of slime costs $5 dollars. The Uber charges a total of $10 dollars. Write an expression that represents Johnny's total cost after buying s containers of slime, including the Uber ride. What is Johnny's total cost if he buys 17 containers of slime, including the Uber ride?

Answers

Answer:

Total cost will be $45 if he buys 17 containers of slime, including the Uber ride.

Step-by-step explanation:

Cost of one container of slime = $5

Cost of Uber = $10

We need to write an expression that represents Johnny's total cost after buying s containers of slime, including the Uber ride.

Total cost = Cost of slime containers + Cost of Uber

Total Cost = 5s+10

So, the required equation is: [tex]Total\: Cost = 5s+10[/tex]

Now, we need to find What is Johnny's total cost if he buys 17 containers of slime, including the Uber ride?

We have s= 17

So, the cost of buying 17 containers of slime and Uber ride will be:

[tex]Total\: Cost = 5s+10\\Put\:s=17\\Total\: Cost = 5(7)+10\\Total\: Cost = 35+10\\Total\: Cost = 45[/tex]

So, Total cost will be $45 if he buys 17 containers of slime, including the Uber ride.

d.
For every 24 lb of body mass, a gorilla
will eat 4 lb of food each day. If a gorilla
eats 40 lb of food in a day, how much
does it weigh?






HELP ME

Answers

Answer:

tje gorilla weights 240 lb

Answer:  240 pounds

Work Shown:

(body mass)/(amount eaten) = (body mass)/(amount eaten)

(24 lb body mass)/(4 lb eaten) = (x lb body mass)/(40 lb eaten)

24/4 = x/40

6 = x/40

x/40 = 6

x = 40*6

x = 240

The gorilla has 240 pounds of body mass.

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Answers

Answer:

$1.37 unit rate

*this answer was rounded*

Step-by-step explanation:

3. Farhana goes to McDonald's with her friends. They buy 2 Big
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25 is your answer , thanks
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