A candy company is marketing a special assortment of caramels. The company wants to put 20 individual caramels into a rectangular box. Each caramel is a 1-inch cube. The caramel should completely fill the box.

Which arrangement of caramels requires the least cardboard?

Answers

Answer 1

Answer:

five by four

Step-by-step explanation:


Related Questions

Two frisbees (circular flying discs: small and large) are used for two games. In game 1, the large disc is used and has a diameter of 27.3 cm. In game 2, the small disc is used and has a diameter of 22.5. The circumference of the flying disc for the first game is how many centimeters greater than the circumference of the flying disc used for the second game, to the nearest centimeter? Use 3.14 for \piπ.

Answers

Answer:

15 cm (to the nearest cm)

Step-by-step explanation:

Circumference of a circle = πd   (where d is the diameter)

Large disc

diameter (d) = 27.3 cmπ = 3.14

⇒ circumference = 3.14 × 27.3 = 85.722 cm

Small disc

diameter (d) = 22.5 cmπ = 3.14

⇒ circumference = 3.14 × 22.5 = 70.65 cm

Difference between circumferences

= circumference of large disc - circumference of small disc

= 85.722 - 70.65

= 15.072

= 15 cm (to the nearest centimeter)

Calculate the circumference and area of this circle

Answers

Answer:

Circumference = 10[tex]\pi[/tex] or 31.4

Area = 25[tex]\pi[/tex] or 78.5

Step-by-step explanation:

Circumference formula is [tex]2\pi r[/tex]

Plug in the radius of 5 for the equation:

[tex]2\pi 5[/tex] or [tex]10\pi[/tex]

Area formula is [tex]\pi r^{2}[/tex]

Plug in the radius of 5 for the equation:

[tex]\pi 5^{2}[/tex] or [tex]25\pi[/tex]

sin C = AB/??

BA
AC
BC
AB

Answers

Answer:

Step-by-step explanation:

In the function y = 4x + 3, what is the value of the dependent variable if the value of the independent variable is 3?

Answers

15=4(3)+3 so 15 is the value of the dependent variable

Can someone please give me the (Answers) to this? ... please ...

I need help….

Answers

_____________________________________

AnswerS :

1. Tan Z = p / b = 21/28

2. Cos C = b / h = 16 / 34 = 8/17

3. Sin C = p/ h = 28/35

4. Tan X = p / b = 32/24 = 16 / 12

5. cos A = b / h = 30/34 = 15 / 17

6. Sin A = p / h = 32/40 = 16/20

7. sin Z = p / h = 24 / 40 = 12 / 20

8. sin C = p / h = 14 / 50 = 7 / 25

RemembeR :

Sin θ = Perpendicular / Height

Cos θ = Base / Height

Tan θ = Perpendicular / Base

- HappY LearninG (≧▽≦)

__________________________________

SOHCAHTOA is an acronym for the formula

Sin= Opposite/hypothenuse

cos= adjusent/ hypothenuse

tan=opposite/adjusent

After u found the ratio u use inverse- put it in ur calculator then u get the answer

i answered one question- so u see how to solve

A 15-foot ladder is set up 5 feet from the base of a building. How far up the building does the ladder reach? Round your answer to the nearest tenth of a foot

Answers

Answer:

20 feet up

Step-by-step explanation:

its quite simple really, just add 15+5 and you get 20

I’m sooo confused please help me

Answers

18π

Step-by-step explanation:

so first you need to find the area of both semi- circles. To do this you will use the formula 1/2πr^2 since it is half the area of a circle.

So for the smaller semi circle you do 1/2×π×8^2 to get 32πcm^2.

Now for the large semicircle you do 1/2×π×10^2 to get 50πcm^3.

Now you take 50π from 32π to get just the area of the shaded region.

This is 18π or 56.55cm^2

The histograms below show the ages of dogs at four different shelters. For which set of data is the mean most likely greater than the median?
A bar graph has age on the x-axis and number of dogs on the y-axis. There is 1 dog that is 0 to 1 year of age; 4 dogs that are 2 to 3; 2 dogs that are 4 to 5; 0 dogs that are 6 to 7; 1 dog that is 8 to 9.

A bar graph has age on the x-axis and number of dogs on the y-axis. There are 0 dogs that are 0 to 1 year of age; 3 dogs that are 2 to 3; 4 dogs that are 4 to 5; 3 dogs that are 6 to 7; 0 dogs that are 8 to 9.

A bar graph has age on the x-axis and number of dogs on the y-axis. A bar graph has age on the x-axis and number of dogs on the y-axis. There are 0 dogs that are 0 to 1 year of age; 1 dog that is 2 to 3; 2 dogs that are 4 to 5; 4 dogs that are 6 to 7; 1 dog that is 8 to 9.

A bar graph has age on the x-axis and number of dogs on the y-axis. There are 2 dogs that are 0 to 1 year of age; 1 dog that is 2 to 3; 2 dogs that are 4 to 5; 1 dog that is 6 to 7; 2 dogs that are 8 to 9.

Answers

The set of data for which the mean is most likely greater than the median is the data given by first histogram.

How to identify skewed graph?

A skewed distribution is a distribution having bias on one of the two sides (either left or right).

It is like leaning mountain on one side (left or right).

A left skewed graph have elongated tail on the left side of the main mountain like figure. The mountain like figure is after that elongated tail. It is also called negatively skewed graph.

This graph usually has mean < median < mode

A right skewed graph has elongated tail on the right side of the main mountain like figure. The mountain like figure is before that elongated tail. It is also called positively skewed graph. This graph usually has:

Mode < median < mean.

For this case, we can try to find the histogram which is right skewed because for right skewed graphs, the mean of the data is greater than the median.

For being right skewed, the histogram needs to be elongated on the right. The elongation on right means the perpendicular axis of the graph (the frequency) has lower and lower values in the right end of the graph.

So, the histogram, which has all values having approx lower frequencies on the right side than any other part of the histogram, has got its mean > median.

We're given these histograms:

Histogram 1:

    Age                Frequency

0 - 1 years                   1

2 - 3 years                   4

4 - 5 years                   2

6 - 7 years                   0

8 - 9 years                   1

Histogram 2:

    Age                Frequency

0 - 1 years                   0

2 - 3 years                   3

4 - 5 years                   4

6 - 7 years                   3

8 - 9 years                   0

Histogram 3:

    Age                Frequency

0 - 1 years                   0

2 - 3 years                   1

4 - 5 years                   2

6 - 7 years                   4

8 - 9 years                   1

Histogram 4:

    Age                Frequency

0 - 1 years                   2

2 - 3 years                   1

4 - 5 years                   4

6 - 7 years                   1

8 - 9 years                   2

The second and fourth histograms are symmetric, because of symmetric values on its either side of the mid value for 4-5 years old dogs' frequencies. Thus, they're not skewed.

The third histogram is negatively skewed because of high values on right side (the last values in the table belongs to bigger ages, and on the axis for age of dogs, by sign convention, the bigger ages will be on right to the smaller age values) than the smaller values, and smaller values are forming tail on left side. Thus, its negatively skewed distribution.

The first histogram has positively skewed distribution, since at the end, it has very small values and there is mountain like structure on the left side.

Thus, for this histogram, the median  < mean is most likely to be happening. (we still use the word 'likely' since the data is not large enough to apply these approximations of mean and median and mode, as it works better for large data sets).

Thus, the set of data for which the mean is most likely greater than the median is the data given by first histogram.

The graph of the first histogram is attached below.

Learn more about skewed distribution here:

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Answer:

A. The first graph

Step-by-step explanation:

Got it right on an edge test

Have a nice day :)

There are 5 white pencils and 6 red pencils in a box. One pencil is selected at random and not replaced. Another pencil is randomly selected from the remaining pencils. Determine whether this event is independent or dependent. Explain your answer.
A. Independent; the first pencil does not affect the sample space for the second one.
B. Independent; there are fewer pencils to choose from the second time.
C. Dependent; the first pencil does not affect the sample space for the second one.
D. Dependent; there are fewer pencils to choose from the second time.

Answers

Answer:

D

Step-by-step explanation:

You have 5 + 6 pencils, which is 11 pencilsThe probability you will get white is 5/11Prob you get red is 6/11If you pick up a pencil and do not replace it, you now only have 10 pencils leftThe prob you get a red or a white is dependent on what you picked up first

Solve for x 10(2x-4)=100x
A.x=7
B. x=3
C.x=1/2
D.x=-1/2

Answers

Answer:

The value of x = -1/2

Step-by-step explanation:

=> 10(2x-4)=100x

=> 20x - 40 = 100x

=> -40 = 100x - 20x

=> -40 = 80x

=> -40/80 = x

=> -1/2 = x

please help me with the question​

Answers

Answer: A

Step-by-step explanation:

The answer to this system of equations is (0,4)

surface area of this right prism

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex] \textsf{Let's calculate the surface area of given right prism} [/tex]

[tex] \textbf{Area of Triangles :} [/tex]

[tex] \sf{\dfrac{1}{2}\cdot 16\cdot 12} [/tex]

[tex] \sf{8×12} [/tex]

[tex] \sf96 \: \: cm {}^{2} [/tex]

[tex] \textsf{Since there are two triangles, } [/tex]

[tex] \textsf{Area of Triangles = 96 × 2 = 192 cm²} [/tex]

[tex] \textbf{Now, calculate the Areas of rectangles :} [/tex]

[tex] \textsf{Area - 1 = 12 × 10 = 120 cm²} [/tex]

[tex] \textsf{Area - 2 = 16 × 10 = 160 cm²} [/tex]

[tex] \textsf{Area - 3 = 20 × 10 = 200 cm²} [/tex]

[tex] \textsf{Now add them all :} [/tex]

[tex] \textsf{120 + 160 + 200 + 192} [/tex]

[tex] \textsf{672 cm²} [/tex]

Answer:

Step-by-step explanation:

(16+12+20)*10+16*12= 48*10+192+480+192=672 c.m. squared

What is the area of this figure? ​

Answers

Answer:

58.5

Step-by-step explanation:

I think it’s 58.5. with the triangle you multiply 3 and 11 then divide it by 2. the square you multiple 3x3 and then the rectangle you do 11x3 and then add them all together. hope it helps

What past paper is this, can you please put a link to the question paper that this question came from :

danil, gabriel and hadley share some money in the ratios 3:5:9 the difference between the amount of money that gabriel receives and the amount of money that hadley receives is 196 euros. work out the amount of money that danil receives

Answers

Using proportions, considering the ratios, it is found that Danil receives 65.33 euros.

What is a proportion?

A proportion is a fraction of a total amount.

Danil, gabriel and hadley share some money in the ratios 3:5:9. Hence, the fraction of the total amount that Danil and Hadley receive are given by:

[tex]D = \frac{3}{17}n[/tex]

[tex]H = \frac{9}{17}n[/tex]

The amount of money that hadley receives is 196 euros, hence the total amount is found as follows.

[tex]196 = \frac{9}{17}n[/tex]

[tex]n = \frac{196 \times 17}{9}[/tex]

n = 370.22.

Hence, the amount received by Danil is given by:

[tex]D = \frac{3}{17}n = \frac{3}{17} \times 370.22 = 65.33[/tex]

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1. A triangular garden is being formed with stones. The three sides measure 4 meters
by 6 meters by 7 meters. Which of the following is a true statement about the side
lengths of the triangle?
A The side lengths will nptform a triangle because 6 + 4 > 7
B. The side lengths will form a triangle because 4 + 6+ 7
C. The side lengths will not form a triangle because 7 + 4 < 6
D. The side lengths will form a triangle because 6 + 7 > 4

Answers

Answer:

The side lengths will form a triangle because 6+4 > 7

Step-by-step explanation:

For side lengths, the two smallest sides (ex. 6 and 4) must have a greater sum than then highest side length. Since 6+4 is greater than 7, it creates a triange. If it would have been 5+2 it would not have worked because it needs to be greater than, not less than or equal to.

Manuel is packing smaller boxes inside a large box. The
smaller boxes are cube-shaped and measure 6 inches
along each edge. The large box is cube-shaped and
measures 24 inches along each edge. How many
smaller boxes can Manuel fit in the large box?

Answers

The number of the smaller cube-shaped boxes that Manuel can fit into the large cube-shaped box is: 64.

What is the Volume of a Cube?

Volume of a cube = a³, where a is the edge length of the cube.

Volume of the smaller cube-shaped boxes = a³ = 6³ = 216 in.³

Volume of the larger cube-shaped box = a³ = 24³ = 13,824 in.³

Number of the smaller boxes that will fit into the large box = 13,824/216 = 64 smaller cube-shaped boxes.

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Determine if 51 is rational or irrational and give a reason for your answer

Answers

Answer:

irrational because the square root of 51 is irrational.


Martha wants to rent a car for a week and to pay no more than $200. How far can she drive if the can
rental costs $120 a week plus $.25 a mile?

Answers

Answer:

martha can go 300 miles with her 130 dollars

Step-by-step explanation:

300 miles $130 brain liest me please need id

Hannah made a table to show
the number of paragraphs in her
essays based on the number of
hours it took to write the essays.
Her data set is shown in the
table.

Answers

The equation of the line of best fit of Hannah's dataset represented by the graph is y = 1.25x  - 1

How to determine the equation of the line of best fit?

From the given figure, we have the following points on the line of best fit:

(x,y) = (2,1.5) and (4,4)

Start by calculating the slope (m) using:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{4 -1.5}{4 - 2}[/tex]

Evaluate the differences

[tex]m = \frac{2.5}{2}[/tex]

Divide

m = 1.25

The equation is then calculated using:

y = m(x - x₁) + y₁

So, we have:

y = 1.25(x - 2) + 1.5

Open the bracket

y = 1.25x - 2.5 + 1.5

Evaluate

y = 1.25x  - 1

Hence, the equation of the line of best fit is y = 1.25x  - 1

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possible
An unusually wet spring has caused the size of a mosquito population in some city to increase by 6% each
day. If an estimated 230,000 mosquitoes are in the city on May 12, find how many mosquitoes will inhabit the
city on May 26. Use y = 230,000(1.06)* where x is number of days since May 12.

Answers

Answer:

  about 520,000

Step-by-step explanation:

Following directions, we evaluate the equation by putting the value where the variable is and doing the arithmetic.

__

The value of x will be the number of days between May 26 and May 12. That value is ...

  x = 26 -12 = 14

Then the number of mosquitos is estimated to be ...

  y = 230,000(1.06^14) ≈  520,008

About 520,000 mosquitos will inhabit the city on May 26.

_____

Additional comment

Typically, an "estimate" is one or two significant figures. So, 520,000 is a reasonable estimate. 520,008 has more precsision than can be justified.

x - 9y = -19 What is thr slope intervept form and answer​

Answers

Answer:

[tex]y=\frac{1}{9}x+19/9[/tex]

Step-by-step explanation:

First get y by itself.

[tex]x-9y=-19\\-9y=-x-19\\[/tex]

Then variable y itself

[tex]y=(-x-19)*-1/9\\y=\frac{1}{9}x+19/9[/tex]

Question 1
4 pts
Rewrite each equation so that the expression on one side could be graphed and the x-
intercepts of the
graph would show the solutions to the equation.
a. 3r? = 81

b. (x-1)(x+1)-9=5x

Cr? - Sx + 10 = 32

d. 6x(x-8)=29

Answers

The equations will be re-written such that the expression on one side can be graphed and the x-intercepts of the graph would indicate the solution.

What are the re-written equations?

A) 3X² = 81

Rewritten, we have  3X² - 81 = 0

This is also = 3(X² - 27) = 0

B) (X - 1)(X + 1) - 9 = 5X

Open the brackets and we have X² - 1 - 9 - 5x = 0

Simplified, we have X² - 5X - 10 = 0

C) X² - 9x + 10 = 32

Collect like terms and we have:
X² - 9X - 22 = 0

D) 6x(x - 8) = 29

Expand the bracket and collect like terms such that the equation is equal to zero and we have

6X² - 48x - 29 = 0

Using Desmos Graphing, the following results can be obtained showing that x intercepts at:

(a) (-5.196, 0) & (5.196, 0)

(b) (-1.531, 0) & (6.531, 0)

(c) (-2, 0) & (11, 0)

(d) (-0.564, 0) & (8.564, 0)

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On a number line, show all values of x for which |x|>3
Please say what i need to use like rays or whatever too

Answers

Answer: 3<x

Step-by-step explanation: anything under 3, use a ray (infinite) pointing to the left with a open circle

Find the volume of this rectangular prism.
6 cm
16 cm
1 cm

Answers

Answer:

The answer is 96

Step-by-step explanation:

Just write (16 x 6) x 1 = v and solve it by doing 16 x 6 and the answer would be 96 cm for the volume.

Please help me with this math problem!! :) Will give brainliest!!

Answers

Answer:

Your answer is  x=-13/3

Step-by-step explanation:

RS and QT are equal knowing this your equation would be x=4x+13. you get -3x=13 when 4x get cancelled out, divide both side by 3 and you get -13/3

If f(y-5)=3y²-4y-10, find f(2)​

Answers

Answer:

29

Step-by-step explanation:

What we do here is that we plug in 2 here like a puzzle.

f(2-5) = f(-3)

So, when we plug in 2 to the function, we get a f(-3)

Nowe take f(-3)

= 3(-3)²-4(-3)-10

= 3(9)+12-10

= 27+12-10

= 29

8
300
60°
y
Find the value of y.

Answers

The value of y is 668

The figure below represents a parallelogram ABCD with AB//CD and AC//BD A 35° B Z 9 ~ W 45° p 1' S 75° 25° C D Find the size of each of the lettered angles. X J​

Answers

Answer:

Step-by-step explanation:

Hi, can you please help me answer this direct proportion question?
Somehow I keep getting it wrong and so I'd really appreciate some help. Please don't offer joke answers and possibly show me any workings out.
Thank you :)

Answers

Answer:

X = 100

Step-by-step explanation:

In proportion questions, they want you to multiply one of the sides by a variable, (i usually represent it with K) and then change the proportion sign to an equal.This is because proportional means they have a ratio between them, with one side increasing by "k" for each increase in the other side.Multiply the left by k, so [tex]y = \frac{k}{\sqrt{x} }[/tex]we know that y= 5, for x = 36, so sub this in the equation[tex]5 = \frac{k}{\sqrt{36} }[/tex]simplify[tex]5 = \frac{k}{6 }[/tex]re-arrange for k, k = 5*6 = 30now we know k, we can create the real equation, [tex]y = \frac{30}{\sqrt{x} }[/tex]sub in 3 as y[tex]3 = \frac{30}{\sqrt{x} }[/tex]x = 100

What is the volume of the figure below if a = 4.3 units, b = 5.3 units, and c = 3 units?

Answers

a x a x c = 3.9 * 3.9 * 3 =45.6345.63 * 2 = 91.26a x b x c = 3.9 * 5.7 * 3 = 66.6966.69 + 91.26 = 157.95 cubic units

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