Mathematics High School

Volume and surface area are often compared by manufacturers in order to maximize how much of something can go inside of a package (volume) while keeping how much material is required to create the package (surface area) low.
Pick a product that might be packaged in the shape of a rectangular prism. A rectangular prism has three dimensions: length, width, and height. The surface area of a rectangular prism can be found using the formula SA = 2lw + 2wh + 2lh. The volume of a rectangular prism can be found using the formula V = lwh. Write an expression for the ratio of surface area to volume for the figure.
Choose an appropriate length, width, and height for your package so that it can fit the product you are shipping. Using these dimensions, what is the ratio of surface area to volume?
Task 2
John, Rick, and Molli paint a room together.
a. Pick a reasonable amount of time in which the three friends can paint the room together. Also pick a reasonable amount of time in which John can paint the room alone and a reasonable amount of time in which Rick can paint the room alone.
b. What is the hourly rate for John, Rick, and Molli (when working together)? Use rooms per hour as the unit for your rates.
c. What is the hourly rate for John? What is the hourly rate for Rick? Refer to the amount of time you determined in which John and Rick can paint the room alone. Use rooms per hour as the unit for your rates.
d. Write an equation comparing the group rate to the sum of the individual rates. How should the group rate and the sum of the individual parts compare? Use parts (b) and (c) to help you write the equation.
e. What is the least common denominator for the equation you found in part (c)?
f. Solve the equation and determine how long it will take Molli to paint the room alone.Task 3
Suppose you are having a birthday party at the local bowling alley. You are trying to figure out how many people you can afford to invite.
a. The number of guests you can invite to your party varies inversely with the price per bowler at the alley. Explain what this means.
b. How much money are you willing to spend to host this bowling party?
c. Set up an equation that shows the inverse relationship between the number of guests at your party and the price per bowler. Your answer to part (b) should be part of this equation.
d. Research two local bowling alleys. Record the price per bowler at each of these two alleys.
Calculate how many guests you will be able to invite to your party at each of the bowling alleys. Which alley would you choose for your party? Why?

Answers

Answer 1

Answer:

sorry bro i really need the points

Step-by-step explanation:

sorry big dawg

Related Questions

pleaseeeeee help!!!!!!!!!

Answers

Answer:

x = 3

Step-by-step explanation:

Formula

CE * DE = AE * BE

Notice how the chords cut each other. Also notice how the segments are equated. See the givens.

Givens

CE = 3

DE = x + 11

AE =x+3

BE = 7

Solution

3*(x + 11) = 7(x + 3)               Remove the brackets

3x + 33 = 7x + 21                 Subtract 21 from both sides

3x + 33 - 21 = 7x                  Combine the left

3x + 12 =7x                          Subtract 3x from both sides

12 = 7x - 3x

12 = 4x                                Divide by 4

12/4 = 4x/4

x = 3

Find the co-ordinates of the points where the line represented by the linear equationy = 2x -4 intersects x-axis and y-axis.

Answers

Step-by-step explanation:

x-intercept => point (2, 0)

y-intercept => point (0, -4)

If is an angle in quadrant II, what is the value of ?

Answers

The value of this answer is .B

Find all real square roots of 25.​

Answers

The square root of 25 is 5.
sorry if the answer is wrong

Polygon ABCD is dilated by a scale factor of 2 with the center of dilation at the origin to create polygon A′B′C′D′. If the endpoints of line AB are located at (0, -7) and (8, 8), what is the length of line A'B'?
Use the distance formula to help you decide (picture added)

Answers

Answer:

A'B' = 34 units

Step-by-step explanation:

Since the dilatation is centred at the origin , then multiply the coordinates by 2

A' = (2(0), 2(- 7) = (0, - 14 )

B' = (2(8), 2(8) = (16, 16)

Calculate the length using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = A'(0, - 14) and (x₂, y₂ ) = B'(16, 16)

d = [tex]\sqrt{(16-0)^2+(16+14)^2}[/tex]

   = [tex]\sqrt{16^2+30^2}[/tex]

   = [tex]\sqrt{256+900}[/tex]

   = [tex]\sqrt{1156}[/tex]

   = 34

3
0
5
3
7
4
11
6
O A. {-3,0,3,4,5,6,7, 11}
O B. (-3,4,5,7}
O C. {3, 5, 7, 11)
O D. {-3, 0,4,6}

Answers

Answer:

A. {-3,0,3,4,5,6,7, 11}

Step-by-step explanation:

I'm prettybsure that A is the range because the range of numbers goes from -3 to 11

Find the area of the shape below. GUS PLEASE HEL​

Answers

Answer:

122 squared cm

Step-by-step explanation:

[tex]6*12=72[/tex]

[tex]10*5=50[/tex]

[tex]72+50=122[/tex]

Hope this helps

Answer:

122 squared cm

Step-by-step explanation:

First we split the figure into 2

12 x 6

And,

10 x 5

12 x 6 = 72

and

10 x 5 = 50

Now we add 72 + 50 = 122

Which expression is equivalent to (25x-4)^16? a.(5x-2)^8 b.(25x-4)^8 c.(5x-2)^4 d.(25x-4)^4

Answers

Answer: 23692929

Step-by-step explanation:

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex](25x-4)^8[/tex]

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻  

[tex]\boxed{\text{Calculating the Answer....}}\\\\\rightarrow\sqrt{(25x-4)^{16}}\\\\\rightarrow (25x-4)^{\frac{16}{2}}\\\\\text{Recall that: }a^{\frac{b}{c}}=\sqrt[c]{a^b}\\\\\rightarrow\boxed{(25x-4)^8}\\\\\text{Side Note: }\frac{16}{2}=8[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

I’ll mark Brainliest if correct

Answers

Answer:

ace me queen me, king incl  black incl

Step-by-step explanation: hope it helped

Enter the value of p so that the expression 18n + 27 is equivalent to p(2n + 3)

Answers

Answer:

P = 9

Step-by-step explanation:

When P = 9, we could multiply 9 to (2n+ 3).

We would get:

18n + 27

---------------------------------------------------------------------------------------------------------------

Have a great summer :)

What is the perimeter of the right triangle?

Answers

Answer:

Right triangle is 3 by 4 by

square root of (3^2 + 4^2) = 5

perimeter = 3+4+5 = 12

Step-by-step explanation:

The diagram below shows a cement patio and a lawn. Both are rectangular in shape.
The length of the patio is 36 feet and its width is 13 feet. The length of the lawn is 28
feet and its width is 9 feet. What is the area of the cement patio around the outside of
the lawn?
36 ft
lawn
9 ft
13 ft
patio
28 ft
Your answer

Answers

Answer:

216 square feet

Step-by-step explanation:

Cement patio outside of lawn

(36*13)-(28*9)

468-252

216

Answer:

216

Step-by-step explanation:

In 2008, the Los Angeles Times asked members of the American public whether free international trade has helped or hurt the economy. Of those surveyed, a.16 percent said free international trade hurt the economy. b.26 percent said free international trade helped the economy. c.57 percent said free international trade helped the economy. d.30 percent said free international trade hurt the economy.

Answers

Answer:

Option B

Step-by-step explanation:

Of those surveyed, 26 percent said free international trade helped the economy.

They claimed that trade liberalization and increase in investment in physical capital was the main reason behind the growth of the economy.

Hence, option B is correct


Two angles of a triangle measure 57 and 46. What is the measure of the largest exterior angle of the triangle?
A.103
B. 123
C.134
D.144

Answers

Answer:

A. 103°

Step-by-step explanation:

57° + 46° =103°

This shows that the third angle in the triangle is 180°-103°=77°

Therefore the largest exterior angle is 180°-77°=103°

inverse variation equation that relates x and y.

Answers

Answer:An inverse variation can be represented by the equation xy=k or y=kx . That is, y varies inversely as x if there is some nonzero constant k such that, xy=k or y=kx where x≠0,y≠0 .

Step-by-step explanation:

Given

m∠LOM = 51° and m∠LON = 133°,

find the measure of ∠MON.

HELPPP PLEASEE

Answers

Answer:

m<MON = 82degrees

Step-by-step explanation:

According to the given question;

m<LON = m<LOM + m<MON

m<MON = m<LON - m<LOM

m<MON = 133 - 51

m<MON = 82degrees

The diameter of a circle is 6 inches. What is the circle's circumference? Use 3.14 for ​.

Answers

Answer: 18.84

Step-by-step explanation:

Formula for circumference of a circle is 2[tex]\pi[/tex]r. Radius is half the diameter so 6/2=3. 2(3.14)(3)= 18.84

What is the volume of this cylinder? ​ 6m, 7m

Answers

Answer:

[tex]198\:\mathrm{m^3}[/tex]

Step-by-step explanation:

The volume of a cylinder is given by [tex]V=r^2\pi\cdot h[/tex], where [tex]r[/tex] is the radius of the cylinder and [tex]h[/tex] is the height.

What we're given:

[tex]r[/tex] of 3[tex]h[/tex] of 7

Substituting given values, we get:

[tex]V=3^2\pi\cdot 7,\\V=9\cdot 3.14\cdot 7,\\V\approx 197.82\:\mathrm{m^3}=\boxed{198\:\mathrm{m^3}}[/tex], rounded the nearest cubic meter as requested in question.

Answer:

Volume of cylinder is 197.82 m ³.

Step-by-step explanation:

Here,

We have given that

Diameter of cylinder = 6 m

So, Radius of cylinder, r = 6 / 2 = 3m

Height of cylinder , h = 7 m

Value of π = 3.14

To find :-

Volume of cylinder

Solution :-

We know that,

Volume of cylinder = π × r ² × h

Substitute the values

Volume of cylinder = 3.14 × ( 3m ) ² × 7 m

volume of cylinder = 3.14 × 9m² × 7 m

Multiply , we get

Volume of cylinder = 197.82 m ³

Therefore, The volume of cylinder id 197.82 m ³.

Mark has 10 pens. Kate has 5 times as many pens as Mark.
Which equation below answers how many pens Kate has? (y = number of Kate's pens

10 = 5 × y

10 = 5 + y

y = 5 × 10

y = 10 ÷ 5

Answers

Answer:

The third one, y = 5 x 10

Step-by-step explanation:

y = number of Kate's pens, 5 = how many times more pens Kate has than Mark, and 10 = how many pens Mark has.

Hey, I WANT A BESTIE PLEASE (imagine I put the lightskin face emoji)

Answers

Answer:

Heyy

Step-by-step explanation:

The perimeter of the scalene triangle is 54.6 cm.
*pretend this is the triangle
3a, a b

Which equation can be used to find the value of b if side a measures 8.7 cm?
A. 8.7 + b = 64.6
B. 17.4 + b = 54.6
C. 21.6 + b = 54.6
D, 34.8 + b =54.6

Answers

Answer:

D, 34.8 + b =54.6

[tex]perimeter = s + s + s \\ 54.6 = 3a + a + b \\ 54.6 = 4a + b \\ (4 \times 8.7) + b = 54.6 \\ 34.8 + b = 54.6[/tex]

Mr. Cooper is building a playset in his backyard for his kids. He has a made a scale drawing of the playset to help him estimate the amounts of building materials he needs to purchase. Part of the playset includes a rectangular sandbox, which has a length of 5 feet and a width of 7 feet. On the scale drawing, the length of the sandbox is 2 A. The scale used in the drawing is
______ = 1 foot.
B. On the scale drawing, the width of the sandbox is ____ inches.
C. If Mr. Cooper decides to make a new scale drawing of the playset, in which he uses a scale of inch = 1 foot, all of the dimensions in the old drawing will be multiplied by a factor of ____
1st blank- 3/8 inch, 11/30 inch, 1/2 inches, 2 inch
2nd blank- 15 inch, 2 1/60, 2 13/16, 3 3/4
3rd blank- 1/2, 1 1/2/2 1/4

.

Answers

Answer:

its c

Step-by-step explanation:

mark brainlist

Evaluate the expression when g=8 and h=7.
4g-h

Answers

25 because 4(8)-7 = 32-7 = 25

Answer: 25

Step-by-step explanation: you replace the letters with the numbers, so it would be:

4(8) - (7)

32-7

=25

Which number is located to the right of on the horizontal number line?

A. - 1 1\3

B. - 2 1/3

C. - 2 2/3

D. 3- 1/3

Answers

Answer:

D. 3- 1/3

Step-by-step explanation:

3-1/3 = 2 2/3 which is positive, thus being on the right side of the number line.

Hope this helps! :)

This should be (A) if all the numbers listed or negative. I think (D) should say -3 1/3 but the lowest number negative would be to the right of the others.

answerrrre plleaseeeee!!!!

Answers

Answer:

4) y = x

Let me know if my answer is correct!

Hope this helps!

PLEASE ANSWER ASAP!!!

Answers

Anwser :  

125

Explanation:

Have a nice day :)

It is 125 if I’m not wrong

eu quero resposta de Química de verdadeiro ou falso​

Answers

neneekebekehekeffhdejhrr

Answer:

create a true or false chemistry question

Step-by-step explanation:

this is the translation

The formula for the volume of a cone is .

Solve  for b, the base of the cone.

Answers

Answer is D.
V= 1/3bh
multiply both sides by 3 to eliminate the fraction
3V= bh
b = 3V under h > D

help me please!!!!!!!

Answers

Answer:

Step-by-step explanation:

julie has 28 cards

gene has 14 cards

sharon has 19 cards

intotal they all have 61 cards

they have 61 in total.

28+14+19=61

What if I don’t have a opposite in my trigonometry is it Sah Coh or toa

Answers

Answer:

Without an opposite, the only operation that can be used is C a/h or Cos Adjacent/ Hypotenuse

Answer:

sah

Step-by-step explanation:

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