Lin has two small baking pans, each shaped like a rectangular prism. For each question, explain or show your reasoning.

a. Lin lines the bottom of her first pan with aluminum foil. The area of the rectangular piece of foil is 1114 square inches. Its length is 412 inches. What is the width of the foil?



b. Lin's second pan has a length of 83 inches, a width of 154 inches, and the height of 32 inches. What is the volume of the second pan?

Answers

Answer 1

Answer:

2 1/2

Step-by-step explanation:

( 11 1/4 ) / ( 4 1/2 ) = 2 1/2

( 2 1/2 ) = 5/2

Answer 2

The width of the pan is 2.70 inches.

The volume of the pan is 409,024 inches³

A rectangular prism is a polyhedron with six faces and twelve edges. It is also known as a cuboid.

The width of the foil can be determined by dividing the area by the length.

Width = area / length

1114 / 412 = 2.70 inches

Volume of the pan =length x width x height

83 x 154 x 32 = 409,024 inches³

To learn more about rectangular prisms, please check: https://brainly.com/question/3174340


Related Questions

Expand and simplify 2(5x + 3) - 2(2x - 3)

Answers

Answer: It is 6x+12

Step-by-step explanation: Distribute 2 to the parenthesis, then do the same at the second parenthesis, 10x+6-4x+6, combine like terms, 10x-4x and +6+6, so 6x+12 is the final result.

100 point need the right answer plxx


Calculate (3.012 x 10−8) + (4 x 10−8).

3.016 x 10−16
7.012 x 10−16
7.012 x 10−8
7.012 x 20−8

Answers

Answer:

Step-by-step explanation:

3012 X 2 + 4 X 2 es 6024 + 4 X 2 es igual a 6032 ok

Answer:

[tex]\sf c.) \: \ 7.012 \times 10^{-8}[/tex]

Step-by-step explanation:

[tex]\sf \rightarrow (3.012 \times 10^{-8}) + (4 \times 10^{-8})[/tex]

take out common factor

[tex]\sf \rightarrow 10^{-8}(3.012 +4)[/tex]

add integers inside bracket

[tex]\sf \rightarrow 10^{-8}(7.012 )[/tex]

in standard form

[tex]\sf \rightarrow 7.012\times 10^{-8}[/tex]

Max has a drawer full of green and red socks. He has three times times as many red socks subtracted from four times as many green socks which he believes is 50 socks. Half the number of green socks plus one-third of the number of red socks is 36. How many of each colour does he have?

Answers

Answer:

There are 42 red colour socks and 44 green color socks

Step-by-step explanation:

Let there are r red socks and g green socks.

ATQ,

He has three times times as many red socks subtracted from four times as many green socks which he believes is 50 socks.

4g-3r=50 ....(1)

Half the number of green socks plus one-third of the number of red socks is 36.

[tex]\dfrac{g}{2}+\dfrac{r}{3}=36\\\\3g+2r=216\ .....(2)[/tex]

Multiply equation (1) by 2 and equation (2) by 3.

8g-6r = 100 ....(3)

9g +6r = 648 ....(4)

Add equation (3) and (4)

8g-6r + 9g +6r = 100+648

17g = 748

g = 44

Put the value of g in equation (1).

4(44)-3r=50

176-3r = 50

176-50 = 3r

r = 42

Hence, there are 42 red colour socks and 44 green color socks.

In the input/output rule: y = -3x - 7 What
would be the output of an input of 5? Write
only the number.

Answers

Answer:

-22

Step-by-step explanation:

Plug in 5 for x.

y = -3(5) - 7

y = -15 - 7

y = -22

please answer this thankyou!!

Answers

Answer:

it's a easy question you just need to add and subtract.

Step-by-step explanation:

like in first question add fx and gx = 2x2 + 2x +8

The circumference is 28.26, what is the radius and area?

Answers

Answer:

The radius is 4.5, while the area is equaled to 63.585

Step-by-step explanation:

Formula of circumference: radius times 2 times pie (3.14)

Formula of Area of Circle: radius squared times pie (3.14)

Divide 28.26 by 2 and by pie (3.14) to get the radius. You should get 4.5.

Square 4.5 (the radius), which should equal to 20.25. Then, multiply it by pie (3.14), which is equaled to 63.585. This is the area of the circle.

(b) Inequality: 3x + 2 < 2x + 10 Real-World Problem:​

Answers

Answer:

x < 8

Step-by-step explanation:

3x + 2 < 2x + 10

Subtract 2 from both sides

3x < 2x + 8

Subtract 2x from both sides

x < 8

x < 8 would be your answer <33


While Matt was building a new home, he built an area of 180 square feet. He cut two 8 foot by 4-
foot windows on the wall. How much wall was left over after he cut out the windows?

Answers

Answer:

16 square feet was left over after he cut out the windows

Step-by-step explanation:

The formula of the area of a rectangle is A = l × w, where

l is the length of the rectanglew is the width of the rectangle

∵ The dimensions of each window are 8-foot by 4-foot

∴ l = 8 feet and w = 4 feet

→ By using the rule above find the area of each window

∵ A = 8 × 4

∴ A = 32 feet²

The area of each window = 32 feet²

∵ He cut 2 windows

∴ The area of the 2 windows = 2 × 32

The area of the 2 windows = 64 feet²

∵ The area of the wall is 80 feet²

→ To find the area of the wall left, subtract the area of the windows from

   the area of the wall

∵ The area left = 80 - 64

The area left = 16 feet²

16 square feet was left over after he cut out the windows

I need help please help me!!!!!

Answers

Answer: B & D

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

finding the cost is basically just taking the initial cost of the cereal and adding it to the percent times the initial cost.

D works because 100% of the initial cost of the cereal is still the initial cost of the cereal, so just add 15% to that 100%, and that is represented by 1.15 in decimal form.

please I need to get this done before 11:30 pm sept 15...

Answers

-3x^2 / y^2

^ representing to the power of

A total of 250 people were surveyed about whether or not each person carries a cell phone.The results are shown below in relative frequency table.Which statement is correct?

Answers

Answer:

D

Step-by-step explanation:

None of them logically make sense. A is wrong because it is a higher amount of people who carry a cell phone than not. B and C is wrong because not 100% of people they interviewed carry a cell phone so D is the correct answer

Well heck,how come, to me this looks like collage level stuff please help me? My cousin isn’t awake enough and he usually helps me and I don’t wanna wake him up,just help me till he wakes up. Try to answer correctly please,if you don’t know then please scroll past ok? I need to get this right so my mom can think I’m “perfect”

Answers

Answer:

Step-by-step explanation:

i=prt

your p=30 dollars

rate is 10%

t=1 year

i=(30*0.01*1)=3

3 dollars

6(2h+7)-9h
equivalent expression

Answers

Answer:

3h + 42

Step-by-step explanation:

1. start with inside the parenthesis

12h + 42 - 9h

2. simplify the expression

3h + 42 (H is 3 because 3 goes into 12 and 9).

use ”tham yaw” the two words are backwards

Type the correct answer in the box. Use numerals instead of words.
What value of n makes the equation true?
2/3n=-12
n=

Answers

Answer:

n=-18

Step-by-step explanation:

Steps:

multiply 3 by both sides of the equation

[tex]3(\frac{2}{3} )=(-12)3[/tex]

2. cross out the 3 from [tex]3(\frac{2}{3} )[/tex] and you will get 2 and then do -12 x 3 and you will get -36.

3. you now have 2n=-36

4. divide both sides by 2 to isolate n by itself.

[tex]\frac{2n}{2} =\frac{-36}{2}[/tex]

5. divide by crossing out 2 and 2 on the right and then do -36 ÷ 2 which will give you n= -18

Hope this helps :) if you have any questions let me know.

Hi!

To find the value of n in the given equation, multiply both sides by 3.

That way, you'll clear the fractions and solving for n will be easier.

[tex]\implies\boldsymbol{\displaystyle\frac{2}{3} n\times3=-12\times3}[/tex]

Watch what happens:

[tex]\implies\boldsymbol{\displaystyle\frac{2}{\not3} n\times\not3=-36}[/tex]

On the LHS, the 3's cancel out, and we're left with 2n:

[tex]\implies\boldsymbol{2n=-36}[/tex]

Now, divide both sides by 2:

[tex]\implies\boldsymbol{n=-18.}[/tex]

Voila! There's our solution.

Have a nice day!

I hope this helps.

-stargazing

If f(x) = 3x+5 solve for x when f(x) = 11

Answers

Answer:

2

Step-by-step explanation:

It is saying that both equations equal each other, as they both equal f(x). So we just move each of the factors to equal each other. Like 3x+5=11. There you just subtract the 5 from both sides to get 3x=6, and then divide both sides by 3 to get x=2.

Answer:

x=2

Step-by-step explanation:

f(x)=3x+5

11=3x+5

11-5=3x

6=3x

x=6

3

x=2

hope it helps.

The lunch coordinator is recording the drink choices of the students in her school. She has partially completed the table. Which describes the variables in the two-way table? Lunch Drinks Milk Water Total Girls 52 85 41 93 Boys Total gender and number who chose mük gender and drink choice number who chose milk and number of boys number who chose milk and total students​

Answers

Answer:

i took the test and i think its B.gender and drink choice........................................i hope that helps!

Step-by-step explanation:

Answer:

The first person is right it's B

Step-by-step explanation:

Someone help!

Three customers have accounts owing money. The table shows the account balances.

Which customer owes the least amount of money?


Customer Balance

M. Palmer –$56.72

B. Leftwich –$74.19

R. Jordan –$54.31




M. Palmer

B. Leftwich

R. Jordan

Answers

i think it’s r.
jordan owes the least amount of money

I NEED HELP, BRAILIST WILL BE AWARDED FOR BIGGEST BRAIN

Answers

Answer:

C. Any number in Set T is a rational number and not an irrational number

Answer:

c jjbnnbnnnbbjnnbbjj

Answer please!!!!!!!!!!!!!!!!

Answers

Answers:

The figure has 0 lines of symmetry. The figure has a 0 degree angle of rotation.

Hope this helped! :)

OLZ HELP I ONLY HAVE 5 MINUTES

The point N lies on the segment MP.

Find the coordinates of N so that MN is 1/5 of MP.

the point k lies on the segment JL

Find the coordinates of K so that JK is 5/7 of JL.

I CANT INSERT THÉ OTHER PHOTO

Answers

The coordinates of N so that line segment MN is 1/5 of line segment MP are (1, 14).

What is a line segment?

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

How to determine the midpoint of a line segment?

In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and divide by two (2).

From the image, we have the following:

Point M = (x₁, y₁) = (-1, 3)

Point P = (x₂, y₂) = (9, -22)

MN/MP = 1/5

Moving along line segment MP from M to P, the value of x increases by 10 (from -1 to 9) and y decreases by 25 (from 3 to -22). Thus, the x-coordinate and y-coordinate of N are given by:

x-coordinate of N = -1 + 1/5(10) = -1 + 2 = 1.

y-coordinate of N = 9 + 1/5(25) = 9 + 5 = 14

In conclusion, the coordinates of N so that line segment MN is 1/5 of line segment MP are (1, 14).

Read more on line segments here: https://brainly.com/question/24659351

#SPJ1


Which of the following sets of numbers could represent the three sides of a right
triangle?

Answers

Answer:

(45,60,75)

Step-by-step explanation:

Because 45^2 + 60^2 = 75^2

                  5625 = 5625

Lennyn buys a 15-pound bag of potatoes for $3.71. To the nearest cent, how much is 1 pound of potatoes?

Answers

Answer:

3.71/15= 0.24733

1 lbs of potatoes= 0.25 cents

how many natural numbers?
from 78 to 234
how many whole numbers
from 24 to 721

Answers

Answer:

158 natural numbers from 78 to 234, and 699 whole numbers from 24 to 721.

Step-by-step explanation:

Natural numbers are positive integers (whole numbers), so all numbers from the range of 78 to 234 would be included, including 78 and 234 itself. That is 158 natural numbers. Whole numbers are numbers without a fraction or decimal, they are integers. So all numbers from 24 to 721 would be included, as well as 24 and 721 itself. That is 699 whole numbers from 24 to 721. Hope this helps.

Answer:

157 for natrual numbers

Step-by-step explanation:

234-77

What are the x- intercepts of the quadratic function f(x) = x² -5x + 4

Answers

x intercepts; when f(x) = 0
First factor the equation
(x-1)(x-4) = 0
Zero product property
The x intercepts are 1 and 4

Chris completed 20% of a 50 page reading assignment. How many pages did he read?

Answers

Answer:

10 pages

Step-by-step explanation:

To find 20% of 50, multiply .20 x 50

.2 × 50 = 10

Answer:

10 pages

Step-by-step explanation:

20% of 50 pages

One way is converting 20% to a decimal 0.2

0.2 x 50 = 10 pages.

Evaluate the following expression 1 x (-4 + (-8)

Answers

Answer:

1. 8+n

2. 4g

3. 2x-5

4. 6/x

5. 3m +9

6. 7+(8-6)

7. If n = 3, 8 - n = 8 - 3

The answer is 5.

8. 18 / 9 = 2

The answer is 2.

9. If x = 4, ten 3x + 1 = 3(4) + 1 = 13

The answer is 13.

Thank you for posting your question. I hope you found you were after. Please feel free to ask me another.

PLEASE HELP 100 POINTS
write an equation of the horizontal line that passes through (-7,-10)

Answers

Answer:

y + 10 = 0

Step-by-step explanation:

Slope of horizontal line is zero (0)

m = 0

By point slope form of a line.

[tex]y-y_1 =m(x - x_1) \\ \\ y - ( - 10) = 0 \{x - ( - 7) \} \\ \\ y + 10 = 0 \{x + 7\} \\ \\y + 10 = 0 \\ \\ [/tex]

Answer:

y = -10

Step-by-step explanation:

60 people attend a game night. Everyone chooses to play chess, a two-player game, or Uno, a
four-player game. All 60 people are playing either chess or Uno

A. Complete this table showing some
possible combinations of the number
of each type of game being played:

Answers

Answer:

14-8

12-9

0-15

2-14

Step-by-step explanation:

Combinations for different rows will be, 14 - 8, 12 - 9, 0 - 15, 2 - 14.

    Given in the question,

Total number of people = 60Number of players who can play chess = 2Number of players who can play Uno = 4

Let the number of chess games played = x

And number of Uno games played = y

Therefore, equation for this situation will be,

2x + 4y = 60

For the 1st row given in the table,

If y = 8,

2x + 4(8) = 60

2x = 28

x = 14

For the 2nd row of the table,

If x = 12,

2(12) + 4y = 60

4y = 36

y = 9

For 3rd row of the table,

If y = 15,

2x + 4(15) = 60

x = 0

For 4th row of the table,

If x = 2,

2(2) + 4y = 60

4y = 56

y = 14

    Therefore, combinations for different rows will be, 14 - 8, 12 - 9, 0 - 15, 2 - 14.

Learn more,

https://brainly.com/question/14365989

The value of a car is $18,000 and is depreciating at a rate of 12% per year. Find how much the car will be worth in 10 years?

Answers

Answer:

$5013

Step-by-step explanation:

Initial value of a car - $18000Depreciation rate - 12% per yearTime - 10 years

Depreciation factor is (100 - 12)/100= 0.88 per year

Final value of the car:

$18000*(0.88)¹⁰ = $5013

please help ill give brainliest

Answers

Answer:

A

Step-by-step explanation:

y = (1/4)x - 7

slope = 1/4

So, the slope of the perpendicular line  = -1/m = -1 ÷ (1/4)

                                                                 = -1 * (4/1) = -4

(-2 , -6)

y - y1 = m(x -x1)

y - [-6] = -4(x - [-2])

y + 6 = -4(x + 2)

Answer:

a

Step-by-step explanation:

give the other dude brainlest and have fantastic day and great life

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