A plant that manufactures metal plates has a quality control team to check that the plates are the right size. A rectangular plate with dimensions 5 cm by 3 cm must have a length 0.25 cm above or below 5 cm. Use the solution to the equation |x − 5| − 0.25 = 0 to find the minimum and maximum area, in sq. cm, of the plates

Minimum:
Maximum:

Answers

Answer 1

From the calculations; the  minimum area is 14.25 cm^2 and the maximum area is 15.75 cm^2

What is area of rectangle?

We define the area as the  product of length of the rectangle and width of the rectangle. We can give the unit of the area as square units. The area is the measure of the plane that has been covered by an object.

We have;

size of rectangular plate = 5 cm by 3cm.

Range of length = 0.25 of 5 cm  

The minimum and maximum area are;

We can now formulate the following to solve the problem;

5 - 0.25 ≤ L ≤ 5 + 0.25

4.75 ≤ L ≤ 5.25

Area of rectangle =  Length × Width.

Width = 3

minimum length = 4.75

maximum length = 5.25

minimum length

= 4.75 * 3

= 14.25 cm^2

maximum length

= 5.25 * 3

= 15.75 cm^2

We now obtain the  minimum area as 14.25 cm^2 and the maximum area as 15.75 cm^2

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Related Questions

As Lucia fills her fish tank, she notices that it fills 8 cubic centimeters of water in 4 minutes.
How many cubic centimeters of water does it fill in 1 minute?

Answers

2 cubic centimeters
By doing 8 divided by 4

(6(2 + 4) - 1)/(2 * 3 + 1)
Evaluate each expression using the order of operations

Answers

Answer:

11/7 is the answer

to your question

Is 1 an unequal number

Answers

Answer:

Step-by-step explanation:

i 1=i i+i = 1 paulit ulit lg pag dalawa ung term i po sagot jan

A can of soup is composed of 40% solids and 60% water. If a can of soup is mixed with two cans of water, what percentage of the mixture is water?

Answers

Assuming that a can of soup which has 60% water is mixed with two cans of water, the percentage mixture that is water is 87%.

What percentage is water?

Assuming the total quantity of a can is 100 ml, the quantity of water in the can of soup would be:

= 60% x 100

= 60 ml

If two more cans of water are added, the total amount of water is:

= 60 + 100 + 100

= 260 ml

The percentage of water is:

= 260 / (100 + 100 + 100)

= 87%

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Calculate the mean 24,27,31,21,27

Answers

Answer:

26

Step-by-step explanation:

add all the numbers up 24+27+31+21+27=130

divide 130/5=26

Answer:

26

Step-by-step explanation:

Means is the same as finding the average in a data set. You add up all of the values and then divide that by the number of terms you have in the data set.

24 + 27 + 31 + 21 + 27 = 130

130 ÷ 5 = 26

The area of a triangular pendant on a necklace is 3/4 square inch. The height of the
triangle is 1 1/4 inches. What is the length of the base of the triangle?

Answers

The length of the base of the triangle is 1 1/5 inches

What are areas?

The area of a shape is the amount of space on the shape

How to determine the length of the base of the triangle?

The given parameters are

Area = 3/4 square inches

Height = 1 1/4 inches

The length of the base of the triangle is calculated as

Base = 2 * Area/Height

Substitute the known values in the above equation

This gives

Base = 2 * (3/4)/(1 1/4)

Evaluate

Base = 1 1/5

Hence, the length of the base of the triangle is 1 1/5 inches

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(x+12)+(4x-16)=6x-13
x+12+4x-16=6x-13
x+4x+12-16=6x-13
5x+12-16=6x-13 ​When there is a x and no number do you assume it is a 1?
5x-4=6x-13 ​Why did the + disappear? Was it for the (-4)
5x-4+4=6x-13+4 How do you know the 4 is supposed to be added and not subtract? ​
5x=6x-9 ​ ​If its 13+4 why was the 4 subtracted?
5x-6x=6x-9-6x ​Why was the 6 subtracted and not the 9? How do you know which
one it is supposed to be?
-x=-9 Why did the -6x effect the 6x and not the 9?
-x/-1=-9/-1 ​How do you know you are supposed to divide with -1? Not another number? and not a positive?
x=9

Answers

The value of the variable x in the expression is 9.

How to solve for a variable in an expression?

The mathematical expression is as follows:

(x+12) + (4x-16) = 6x-13

Therefore, let's open the brackets

(x+12) + (4x-16) = 6x - 13

x + 12 + 4x - 16 = 6x - 13

Combine the like terms

x + 12 + 4x - 16 = 6x - 13

x + 4x + 12 - 16 = 6x - 13

Do the arithmetic of the like terms on both sides

x + 4x + 12 - 16 = 6x - 13

5x - 4 = 6x - 13

Add 4 to both sides

5x - 4 = 6x - 13

5x - 4 + 4 = 6x - 13 + 4

5x = 6x - 9

subtract 6x from both sides

5x = 6x - 9

5x  - 6x = 6x - 6x - 9

-x = -9

divide both sides by -1

Therefore,

x = 9

The value of the variable x in the expression is 9.

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15 x 3 x 3 =

and i need to show work

Answers

15 x 3 = 45

45 x 3 = 135

The answer is 135

Step-by-step explanation:

15×3×3=135

hope it helps you

My friend iis bumped and so am I. Question : graph the function described by the equation y = 2x − 2.

Answers

the graph of the equation y = 2 x - 2 is being obtained.

We are given the equation:

y = 2 x - 2

We need to make the graph of the equation.

We will first find some points on this equation:

x              y

0             -2

1               0

2              2

3              4

4              6

5              8

Now, we will plot these points on the graph and join them with a dark line to obtain the graph of the equation y = 2 x - 2.

Therefore, the graph of the equation y = 2 x - 2 is being obtained.

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Solve for x
5x³-15x²-90x=0

Answers

Answer:x=0,6,−3

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero

The annual tuition at a specific college was $20,500 in 2000, and $45,4120
in 2018. Let x be the year since 2000, and y be the tuition. Write an
equation that can be used to find the tuition y for x years after 2000. Use
your equation to estimate the tuition at this college in 2020.

Answers

y = 20500 + 24090(x - 1) can be used to find the tuition y for x years after 2000. The tuition at this college in 2020 was $5,02,300.

We assume that the rate of increase in the cost of tuition fee per year is linear and hence the tuition fees of subsequent years will be in an Arithmetic Progression. The formula for determining the nth term of an arithmetic sequence which is expressed as-

Tn = a + (n - 1)d

Where

a = first term of the sequence.

d = common difference.

n = number of terms in the sequence.

According to the question,

a = $20500 (amount in 2000)

From 2000 to 2018, the number of terms is 19, hence,

n = 19

Thus, T19 = 454120

Therefore,

4,54,120 = 20500 + (19 - 1)d

454120 - 20500 = 18d

18d = 433620

d = 433620/18

d = 24,090

Therefore, the equation that can be used to find the tuition y for x years after 2000, is as follows-

y = 20500 + 24090(x - 1)

Now, the number of terms between 2000 and 2020 is 21, hence

x = 21

y = 20500 + 24090(21 - 1)

y = 20500 + 481800

y = $502300

Therefore, the tuition at this college in 2020 was $5,02,300.

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A box turtle Marcos found is 0.115 of a meter long. What is this length in expanded form?

Answers

If a box turtle Marcos found is 0.115m long, then the length in expanded form is (0.1 + 0.01 + 0.005).

As per the question statement, a box turtle Marcos found is 0.115m long.

We are required to find out the expanded form of the length.

To solve this question, we need to know the procedure to convert a decimal into a fraction:

First, we will have to eliminate the decimal point and then, consider the digits in the same order as a complete number which will be our numerator. Secondly, we will use (10ⁿ) as our denominator where "n" is the number of digits on the right side of the decimal point in the original decimal number. Thus, 0.115 can be written as [tex]\frac{115}{1000}[/tex], since there are three digits after decimal point.

Now [tex]\frac{115}{1000}[/tex] can be written in the following manner as shown below.

[tex]\frac{115}{1000}=\frac{100+10+5}{1000}\\ or, \frac{115}{1000}=\frac{100}{1000}+\frac{10}{1000}+\frac{5}{1000}\\ or, \frac{115}{1000}=\frac{1}{10}+\frac{1}{100}+\frac{5}{1000}\\ or, \frac{115}{1000}=0.1+0.01+0.005[/tex]

Therefore, 0.115 can be written as (0.1 + 0.01 + 0.005) in its expanded form.

Expanded Form (of a number or decimal): This is a format of writing a number as a summation of its individual digits multiplied by their place values.

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Describe the transformation from the graph off to the graph of g. PLEASE HELP!

Answers

Answer: x=-3

Step-by-step explanation: Linear function of -3. This is because you subtract by 3 from f to g each time.

- 8x9
8x (3+6)
(8 x) + (8 x.
8x9=

Answers

Answer:

72

Step-by-step explanation:

Assume that each circle shown below represents one unit. Express the shaded amount as a single fraction and as a mixed number.

Answers

Answer: One fraction: 5/4. Mixed Number:

Step-by-step explanation: One fraction: you need to count the number of green squares on the top, and on the bottom you need to count how many are you each square.

5) Compare and Contrast. Which of the following jobs would be better? A job that
pays $13 a hour, or a salaried position that is paying $25,000. Explain your thinking.

Answers

Answer:

The job with a salaried position that is paying $25,000

Step-by-step explanation:

The 2nd option would be better because $13 an hour wouldn't be as much if you time it by one day. For example 13x24=$312 for just one day. But if it was more than one day, option 1 would be the best choice.

Top and bottom needed

Answers

The length of the arcs are as follows

L = 1.94 pi cmL = 0.55 pi cmL = 2.50 pi cmL = 5.0 pi cmL = 4.44 pi cmL = 5.0 pi cmL = 4.88 pi cm

Given data

<BAC = 90 degrees

<BEA = 70 degrees

<DEA = 180 degrees

BE = radius = 5 cm

How to determine length of arcs

top

Length of arc = ( ∅ / 360 ) * 2 * pi * r

1. length of arc AB

L =  ( ∅ / 360 ) * 2 * pi * r

L = ( 70 / 360 ) * 2 * pi * 5

L = 1.94 pi cm

2. length of arc CD

L =  ( ∅ / 360 ) * 2 * pi * r

∅ = 180 - 90 - 70 = 20

L =  ( 20 / 360 ) * 2 * pi * 5

L = 0.55 pi cm

3. length of arc CB

L =  ( ∅ / 360 ) * 2 * pi * r

L = ( 90 / 360 ) * 2 * pi * 5

L = 2.50 pi cm

4. length of arc CAD

∅ = 90 + 70 + 20 = 180

L =  ( ∅ / 360 ) * 2 * pi * r

L = ( 180 / 360 ) * 2 * pi * 5

L = 5.0 pi cm

5. length of arc BCA

∅ = 90 + 70 =

L =  ( ∅ / 360 ) * 2 * pi * r

L = ( 160 / 360 ) * 2 * pi * 5

L = 4.44 pi cm

6. length of arc DA

∅ = 180

L =  ( ∅ / 360 ) * 2 * pi * r

L = ( 180 / 360 ) * 2 * pi * 5

L = 5.0 pi cm

Bottom

7. length of arc from off to volume 7

∅ = 110

r = 8

L =  ( ∅ / 360 ) * 2 * pi * r

L = ( 110 / 360 ) * 2 * pi * 8

L = 4.88 pi cm

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1.
Tank A has a length, in feet, represented by 25x + 12 and a width, in feet, represented by 7x + 18. Write and simplify an expression used to determine the total amount of rubber stripping, in feet, needed for both rectangular tanks.

Answers

The value of the total amount of rubber stripping, in feet, needed for the rectangular tanks is 64x + 70.

How to calculate the perimeter?

It should be noted that the perimeter of a rectangle is given as:

= 2(Length + Width)

= 2(25x + 12) + 2(7x + 18)

= 50x + 24 + 14x + 46

= 64x + 70

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Rewrite without parentheses and simplify.
(u+6)²
Ú

Answers

Answer:

u² + 36 + 12u

Step-by-step explanation:

(u + 6)² =

u² + 36 + 12u

Answer:

[tex]u^2+12u+36[/tex]

Step-by-step explanation:

[tex]\begin{aligned}& \textsf{Given}: & & (u+6)^2 \\\\& \textsf{Expand the square}: & & (u+6)(u+6)\\\\& \textsf{Distribute}: & & u(u+6)+6(u+6)\\\\& \textsf{Distribute}: & & u^2+6u+6u+36\\\\& \textsf{Combine like terms}: \quad & &u^2+12u+36\end{aligned}[/tex]

Is 87 3 times as many as 29?

Answers

Answer:

Yes

Step-by-step explanation:

29 times 3 is 87

Hope It Helps

Sorry If I'm Wrong

so if you multiple 29 by 3 you should get 87 so yes it is equal

Use π = 22/7 to find the circumference and area of the following circle. r = 2 1/2 cm C = ____ A = ______​

Answers

Answer:

c=12.57

Step-by-step explanation:

beacuse of the radius

What is perpendicular to x=0

Answers

Answer:

y=0

Step-by-step explanation:

The y-axis(x=0) and x-axis(y=0) are perpendicular.

: A man whose wait was 90 pounds on weight scale on Earth was noticed to be 15 pounds only on the moon. Keeping this scientific fact in mind write the equations of proportionality between weight of a man on Earth and on moon. (Note: Y = weight on Earth, X = weight on moon)

Answers

Answer:

because the gravitational streanghts is much weaker on the moon

Add 3/8+ 1/12 by using the LCM as the common denominator.What is the LCM of 8 and 12?



Enter your answer in the box.

Answers

Answer: 24

Step-by-step explanation: LCM(8, 12) = 24

12 x 2 = 24

8 x 3 = 24

You have enough wallpaper to cover 500 square feet. If your walls are 5 feet high, what wall
length can your paper?

Answers

Answer:

the answer would be 100

Step-by-step explanation:

500÷5= 100

Answer:  100

Step-by-step explanation:

[tex]50 divided 500=100[/tex]

g less than the quotient of 7 and 8​

Answers

Answer:

"g - (7 • 8)" is correct. :)

-2x-y+10-x+7y-5 simplified please show steps

Answers

Answer:

-3x+6y+5

Step-by-step explanation:

The equation- -2x-y+10-x+7y-5

Next, combine all the x, y, and real numbers.

X's: (-2x)+(-x)= -3x

Y's: (-y)+(7y)=6y

Real Numbers: (10)+(-5)=5

insert back into an equation

-3x+6y+5

:-) hope this helps

1. Which of the following is a solution to the equation y = 3x - 1?
O (4,1)
0 (2,5)
O (4,3)
0 (0, -3)

Answers

Answer:

(2,5)

Step-by-step explanation:

i don't know how i did the solvings so sorry but if it is not correct please let me know

If you multiply two decimals that ares less then 1 can you predict whether the product will be less than or greater than either of the factors Explain.

Answers

greater than because it’s going in the negatives

find the circomference of the circle.

Answers

Answer:

d=23in

circumference= πd

= 23×3.14

=72.22 probably

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