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

which shows 2 3/4 as a percent

A. 275%

B. 270%

C. 2.75%

D. 27.5

Answers

Answer:

A. 275

Step-by-step explanation:

1= 100% So 2= 200%

1/4= 25% (Just like money) 3/4= 75%

200%+75%= 275

Hope this helps!!!! Have a great day!!!

I need help and D. Is x>-25

Answers

Answer:

x>50

Step-by-step explanation:

Answer:

x < 25

Step-by-step explanation:

Given

- 2x > - 50

Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity

x < 25

What decimal is equal to 6/20


O 0.2
O 0.3
O 0.6
O 0.8

Answers

the answer is 0.3 :)................
0.3....................

Graph the following line. y=3/2x -5

Answers

Answer:

See the attached image.

Step-by-step explanation:

Remember the equation of the line is y = mx + b.

m = 3/2 (slope) ... rise/run. up 3 over 2.

b = -5 (y-intercept)

*These lines go on forever.

The graph of the line y = (3/2)x - 5 is given below.

Given that:

Equation of the line is y = (3/2)x - 5

The linear equation is given as,

x/a + y/b = 1

Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.

Convert the equation into intercept form, then we have

y = (3/2)x - 5

(3/2)x - y = 5

x / 3.33 + y / (-5) = 1

The graph of the line is given below.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ6

I need the answers please can anyone solve this one?

Answers

Answer:

This is it.

HI=8

GH=15

GI=17

The sum of the angles in a triangle are 180 degrees. Find the value of the variable, then find the angle measures of a polygon.

Answers

Answer:

15=x  5x=75

Step-by-step explanation:

90/6=15

6 is how many x's there are in total meaning that 1 x = 15

15*5=75 so one angle is 15 while the other is 75

75 + 15= 90

90+90=180 getting you the 180 degrees

What is the first difference of the following arithmetic sequence?
{3, 1,-1,-3...}.

A.2
B.3
C.-2
D.5

Answers

the answer is C im fairly certain

The product of two consecutive integers is 72.
Which of the following could be their sum?
E. -17
F. -1
G. 1
H. 18

Answers

Answer:

First I would find the square root of 72 with a calculator, which happens to be 8.49 (rounded to the nearest hundreth)

So we know that the two integers will be close to 8.48

Since they are consecutive, lets first test out 8 and 9

We multiply these two and get 72, which is the number we were looking for.

now we find their sum.

9 + 8 = 17

Now since this is not part of the answers, we now asume that both 9 and 8 are negative numbers, since negative times a negative is a positive, but a negative plus a negative can still be negative.

-9 + -8 = -9 - 8 = -17!

So, the answer you are looking for is E: -17

HELP ILL GIVE BRAINLIST

Answers

Answer:

$4.25

Step-by-step explanation:

Easy price is 85 so

Divide 85 by 100

0.85

then multiply by 5

0.85*5=4.25

Brainliest please and you're welcome

Hurry please

What are the slope and y-intercept of the linear function
graphed to the left?
O slope: -2; y-intercept: 2
O slope: -1/2 y-intercept: 1
O slope: 1/2y-intercept: 2
O slope:2, y-intercept: 1

Answers

Answer:

B. slope: -1/2 , y-intercept: 1

rise over run. go down one, means a negative 1. too the right twice, means positive 2. y-intercept is obvious, it's just the point in which the line intercepts the y-axis.

Solve -(10x + 1) + 4(x- 1) = -23

Answers

Answer:

x = 3

Step-by-step explanation:

-(10x + 1) + 4(x- 1) = -23  expand-10x - 1 + 4x - 4 = -23     combine similar terms-10x + 4x = -23 + 1 + 4   simplify-6x = -18                        divide -6 both sidesx = -18 / -6                     simplifyx = 3
x=3

1. distribute the negative.
2. subtract the numbers
3. combine like terms
4. add five to both sides of the equation
5. simplify
6. divide both sides of the equation by the same term
7. simplify again :)

have a good day

Can someone please help....I’m stuck
Mr. Martin wrote the following problem on the board.
Juanita's car has a gas mileage of 21
|miles per gallon. How many miles
can Juanita travel on 7 gallons of
gas?
21miles
Alex used the expressionanllon
7gallons
to find the
answer. Did Alex make a mistake? Answer Yes or No. hi

Answers

Answer:

147 gallons

Step-by-step explanation:

21 miles x 7 gallons

Let x= t+2 and y= t² Write an equation for y in terms of only X​

Answers

Answer:

[tex] y = {x}^{2} - 4x + 4[ /tex]

Step-by-step explanation:

[tex] x = t + 2 \\

\implies \: x - 2 = t....(1) \\

y = {t}^{2} ....(2) \\

plug \: t = x - 2 \: in \: equation \: (2) \\

y = {(x - 2)}^{2} \\

\red{ \bold{ y = {x}^{2} - 4x + 4}}[/tex]

Factorise fully 9x+15

Answers

Answer:

3(3x + 5)

Step-by-step explanation:

9x + 15

find a common factor, 3

3(3x + 5), this is the answer as u can't factorize anymore

Simplify:
5x - 6x- 8x + 7

Answers

Answer:

-9x+7

Step-by-step explanation:

ILL GIVE BRAINLIEST AND LOTS OF POINTS
Find the percent of increase

6. from 44 to 66 7. from 6 to 6.5


Find the percent decrease. Where necessary round to the nearest tenth of a percent

8. from 56 to 36 9. from 72 to 18

Answers

Answer:

6. 33% increase

Step-by-step explanation:

Equation of increase/decrease: (Final value-initial value)÷(Initial Value)

6. (66-44)÷(66)=0.33

-Multiply by 100 to get 33% increase

7. (6.5-6)÷(6)=0.083

-Round and multiply by 100 to get 8.0% increase

8. (56-36)÷(56)=0.357

Round and multiply by 100 to get 36% decrease

9. (72-18)÷72=0.75

Multiply by 100 to get 75% decrease

Answer:

from 44 to 66 7 from 6 to 6.5

1415.9090909091%

667 - 44

44

x 100% = 1415.9090909091%

8.3333333333%

6.5 - 6

6

x 100% = 8.3333333333%

i dont know the other one sorry :(

what is the square root of a perfect square always rational

Answers

Answer:

The square root of a perfect square will always be a whole positive or negative number

Step-by-step explanation:

Justify Step 4 of this Proof

Answers

Answer:

I believe it's SSS

Step-by-step explanation:

This is because all sides are congruent to each other.

Following the statements and proofs it’s by SSS.

Quadrilaterals ABCD and EFGH are shown in the coordinate plane. Quadrilaterat ABCD will be reflected across the x-axis and then rotated 90 clockwise about the origin to create quadrilateral A^ prime B^ prime C^ prime D^ prime . What will be the y -coordinate of B?

Answers

Answer:

Step-by-step explanation:

180 degree rotation about point C prime composition reflected across line m

Transformation involves changing the position of a quadrilateral by reflecting and/or rotating it.

The y-coordinate of B" is 3

The coordinates of vertex B of quadrilateral ABCD is:

[tex]\mathbf{B = (-3,7)}[/tex]

The rule of reflection across the x-axis is:

[tex]\mathbf{(x,y) \to (x,-y)}[/tex]

So, we have:

[tex]\mathbf{B' = (-3,-7)}[/tex]

The rule of 90 degrees clockwise rotation across the origin is:

[tex]\mathbf{(x,y) \to (y,-x)}[/tex]

So, we have:

[tex]\mathbf{B" = (-7,3)}[/tex]

Hence, the y-coordinate of B" is 3

Read more about transformation at:

https://brainly.com/question/18549175

Help please!!
Lisa traveled 140 miles on 2/5 of a tank of gas. At this rate, how far can she travel on one tank of gas?

Answers

Answer:

350miles

Step-by-step explanation:

On a road trip, a family drives 350 miles per day. How many days, d, must they trave
to reach a distance of at least 1400? Write an inequality to represent this
situation.

Answers

Answer:

1400< 350d (its less than or equal to, but i cant put the bar under.

Divide (6y2 + lly + 3) by (3y + 1).
A. 2y2 + 1
B. 2y2 + 3
C. 2y + 3
D. 2y + 1

Answers

Answer:

ether:

y= 1/3 = 0.333

OR

y= 3/2 = 1.500

Carson invested $850 in an account paying an interest rate of 5.7% compounded
daily. Assuming no deposits or withdrawals are made, how much money, to the
nearest dollar, would be in the account after 6 years?

Answers

Answer:

$850×5.7/100=48.45

850+48.45=898.45

898

Answer: 1197

Step-by-step explanation:

what is x in 4x²-12x+ 9 = 0​

Answers

Answer: x =  √9/8

answer is x = square root of 9/8

Step-by-step explanation:

For what value of k, the zeroes of x2 + kx + 12 will differ by 1?

Answers

Let a and b be the zeroes of x² + kx + 12 such that |a - b| = 1.

By the factor theorem, we can write the quadratic in terms of its zeroes as

x² + kx + 12 = (x - a) (x - b)

Expand the right side and equate the coefficients:

x² + kx + 12 = x² - (a + b) x + ab

Then

a + b = -k

ab = 12

The condition that |a - b| = 1 has two cases, so without loss of generality assume a > b, so that |a - b| = a - b.

Then if a - b = 1, we get b = a - 1. Substitute this into the equations above and solve for k :

a + (a - 1) = -k   →   2a = 1 - k   →   a = (1 - k)/2

a (a - 1) = 12   →   (1 - k)/2 • ((1 - k)/2 - 1) = 12

→   (1 - k)²/4 - (1 - k)/2 = 12

→   (1 - k)² - 2 (1 - k) = 48

→   (1 - 2k + k²) - 2 (1 - k) = 48

→   k² - 1 = 48

→   k² = 49

→   k = ± √(49) = ±7

Please answer quickly its a test and i need to get a good grade on it, will give brainliest


What was an important impact of the Louisiana Purchase?


A. The land size of the United States was doubled and vast new resources were acquired.


B. The United States was pushed into a long, costly war with the Indian tribes in the territory.


C. The United States became a major world power rivaling Great Britain in wealth and influence.


D. The people of the United States began an immediate land rush into the territory to form new states.

Answers

I think the answer is A because it I'm right it did double the size.

adding and subtracing linear wxpressions 12(−4x+8)−14(8x−12)

Answers

Answer:

-160x+264

Step-by-step explanation:

-48+96x-112x+168

-160+264

Yesterday I drank 16 cups of coffee. Today I drank 82% more cups. How many cups of coffee did I drink today?

Answers

Answer: 29.12 cups of coffee

Step-by-step explanation:

16 cups of coffee x 0.82 = 13.12

13.12 + 16 = 29.12

Which is true? Any translation can be replaced by two reflections. Any translation can be replaced by two rotations. Any rotation can be replaced by a reflection. Any reflection can be replaced by a rotation followed by a translation.

Answers

Answer:

Following are the solution to the given question:

Step-by-step explanation:

There is no numbering of the question, which is specified in the enclosed file. please, Find it.

In point 1, the statement is true .

In point 2, the statement is False.

In point 3, the statement is true .

In point 4, the statement is False.

what did he do wrong

Answers

Answer:

He did nothing wrong in this problem.

Step-by-step explanation:

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