Straws are shipped into a box with dimensions of 6.0x6.0x8.0 inches. Each straw is 3/8 inches wide and 7 and 3/4 inches long. How many straws could be shipped into a box without squeezing any straws?

Answers

Answer 1

Answer:

256

Step-by-step explanation:

First, let's see the height of the box (8 inches) is long enough for one straw (7 inches and 3/4) but not enough for 2... so there could be only one layer.

Now the box is a prism with a square base (6 inches each side).

How many straws can we fit on one side?  We have to divide the width of the box by the width of a straw.  

[tex]row = \frac{6}{3/8} = \frac{48}{3} = 16[/tex]

We can fit 16 straw per 6-side side of the box... Since the box is 6x6 inches, we can then fit 16 x 16 straws in it... 256 total.

Answer 2

Answer:

256

Step-by-step explanation:


Related Questions

22722776 x 738399383838338

Answers

Answer:

1.6778484x10^22

Step-by-step explanation:

Answer:1.6778484e+22

Step-by-step explanation:

Just multiply the numbers

A standard number cube is tossed. Find P(less than 3 or odd).

Answers

Answer:

P(.6666...) or P(2/3)

Step-by-step explanation:

We know we have one single event with 3 outcomes. We can figure that 5 is the only other odd number not 1-3, so that means we have 3+1 outcomes

Ok, so no we know we have 1 singular event with 3+1 possible outcomes

This means the probability is 4/6, due to a normal die having 6 faces.

Therefore, the probability is 4/6, 2/3, or .666666......

Please note that I have not done P&S for over 1 year now and I learned it in geometry, but don't be discouraged as I googled how to do this, but if I wrong, tell me.

The Probability of obtaining a number less than 3 or odd when a standard number cube is tossed is 2/3.

In probability theory, the question is asking for the possibility of tossing a number cube and landing on a number less than 3 or an odd number.

In a standard number cube which is a die, we have six numbers (1, 2, 3, 4, 5, 6).

Numbers less than 3 are 1 and 2.

The odd numbers are 1, 3 and 5.

However, 1 is common to both cases, so we add the total unique outcomes which are 1, 2, 3, and 5.

So, we have four favorable outcomes.

To find the probability, you calculate the ratio of the favorable outcomes to the total possible outcomes.

In this case, it will be 4 favorable numbers against 6 possible numbers altogether.

Hence, P(less than 3 or odd) is 4/6 which can be simplified to 2/3.

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Julio added 6 cubes to his prism. Calculate the volume. How has the volume changed?(The picture is without the 6 cubes)

Will award 100 points

Answers

The volume changed because the volume used to be 27 cubic inches, but now it is 33 cubic inches since he added the 6 cubes.
I hope this helps : )

Step-by-step explanation:

Assuming the length of each cube's sides is s, then the volume of each cube is V = s³.  The number of cubes before adding is 2×3×3 = 18.  So the total volume is:

V = 18s³

After adding 6 cubes, the volume becomes:

V = 18s³ + 6s³

V = 24s³

Describe how to simplify the expression (3^-6)/(3^-4). Answers: Divide the bases and then add the exponents. Keep the base the same and then add the exponents. Multiply the bases and then subtract the exponents. Keep the base the same and then subtract the exponents.

Answers

Answer:

Last option: Keep the base the same and then subtract the exponents.

Step-by-step explanation:

There is a property called "Quotient of power property".

This property states that if you need to divide two powers with the same base, you must keep the same base and subtract the exponents:

[tex]\frac{a^m}{a^n}=a^{(m-n)}[/tex]

Then, you need to apply this property to the expression [tex]\frac{(3^{-6})}{(3^{-4})}[/tex] to simplify it.

Therefore, you get that the expression simplified is:

[tex]3^{(-6-(-4))}=3^{(-6+4)}=3^{-2}[/tex]

Answer:b

Step-by-step explanation:

what is the expression of the quotient of 32 times a number and 4 is 16​

Answers

Step-by-step explanation:

32x ÷ 4 = 16

32x = 64

x = 2

the door frame has measurements of 3 feet by 8 feet. What is the length of the largest table that can be brought in the house on a diagonal? someone please help me out

Answers

Answer:

sqrt(73) = 8.54 feet.

Step-by-step explanation:

Remark

My guess is without the legs.

The person bringing it in will not be able to get a table in that is longer than the hypotenuse of a right triangle.

Givens

a = 8

b = 3

c = ??

Formula

a^2 + b^2 = c^2

Solution

8^2 + 3^2= c^2

64 + 9 = c^2

c^2 = 73

c = sqrt(73)

c = 8.54

The table can be no longer than 8 feet 5 inches about.

could anyone help me with this problem i'm stuck

h(17)= ?

Answers

Answer:

[tex]\sqrt{17t}[/tex]

Step-by-step explanation:

Consider the right side of the table

It informs us of the values for h(t) for different values of t

The top one informs us what h(t) is when t = 17, that is

h(t) = [tex]\sqrt{17t}[/tex], when t = 17, thus

h(17) = [tex]\sqrt{17t}[/tex]

what is the gcf of h4 and h8

Answers

Answer: [tex]GCF=h^4[/tex]

Step-by-step explanation:

You need to remember that:

1) The definition of Greatest common factor (GCF): This is the greatest factor that divides two numbers.

2) The Product of powers property states that:

[tex](a^m)(a^n)=a^{(m+n)}[/tex]

3) To find the Greatest common factor between two numbers, for example, you can descompose them into their prime factors and then choose the commons with the lowest exponent.

In this case, you have [tex]h^4[/tex] and [tex]h^8[/tex]

You can observe that the common base is "h", then you only need to choose the one with the lowest exponent. This is:

[tex]GCF=h^4[/tex]

4) You can also rewrite  [tex]h^4[/tex] and [tex]h^8[/tex] as:

[tex]h^4=h*h*h*h\\*h^8=h*h*h*h*h*h*h*h[/tex]

You can observe that the common factor between  [tex]h^4[/tex] and [tex]h^8[/tex] is: [tex]h*h*h*h=h^4[/tex]

Then:

[tex]GCF=h*h*h*h=h^4[/tex]

share 240 in the ratio of 8 3 1

Answers

Answer:

160, 60, 20

Step-by-step explanation:

3 example of mathematics in everyday life

Answers

Answer: 1. Shopping for the best price.

2. Preparing food.

3. Understanding sports (being a player and team statistics)

Hope This Helps, Please Vote Brainliest.

Everyday life is filled with mathematical applications such as managing finances, estimating travel time and distance, and understanding symmetry in design, demonstrating the practical importance of mastering essential mathematical skills.

Mathematics is deeply embedded in our everyday lives, and we often apply mathematical concepts without even realizing it. Here are three examples that illustrate the prevalence of mathematics in daily activities:

Managing finances: Whether it's budgeting for household expenses, calculating interest on savings, or determining the cost of a purchase after tax, we use basic arithmetic operations such as addition, subtraction, multiplication, and division to keep track of our money.Estimating time and distance: For planning travel, whether driving or using public transport, we use approximations and concepts of speed and distance to estimate arrival times, which involves understanding and applying the formula for speed (distance divided by time).Understanding symmetry: In various design aspects of life, such as art, architecture, and even in nature, we recognize patterns and symmetry. This can involve recognizing one-dimensional or three-dimensional objects and using.

In addition to these practical applications, developing a mental agility for mathematics allows us to employ shortcuts and rule-of-thumb strategies to make our lives easier.

The function for the cost of materials to make a muffin is f(x) = Three fourths x + 3, where x is the number of muffins. The function for the selling price of those muffins is g(f(x)), where g(x) = 3x + 4. Find the selling price of 20 muffins.

Answers

So first let’s put g(f(x)) together by putting f(x) for every x in g(x)

We get g(f(x))=3(3/4x+3)+4 which is the selling price equation

Then you plug in 20 to find the selling price for 20 muffins.

g(f(x))=3(3/4(20)+3)+4

g(f(x))=3(60/4+3)+4

g(f(x))=3(18)+4

g(f(x))=54+4

g(f(x))=58

So the selling price will be $58 for 20 muffins.

what is the Factored form of polynominal x^2-12x+27

Answers

the answer is (x−3)(x−9)

What is the volume of the composite figure shown below?

Answers

Answer:

The composite shape has a total area of 2412mm squared.

The volume of composite figure is,

                         [tex]=1873+540=2413mm^{3}[/tex]

Volume of Cuboid:

The volume of composite figure is the sum of volume of upper cuboidal part and volume of lower cuboidal part.

The length , width and height of upper cuboidal part is 13, 12 and 12 mm.

Volume of upper part is,

                  [tex]=13*12*12=1873mm^{3}[/tex]

The length , width and height of lower cuboidal part is 15, 12 and 3 mm.

Volume of lower part is,

                  [tex]=15*12*3=540mm^{3}[/tex]

The volume of composite figure is,

                         [tex]=1873+540=2413mm^{3}[/tex]

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PLEAS HELP 10 POINTS

Answers

Answer:

It is an obtuse angle so it is greater than 90 degrees you will have to use a protractor to figure it out.

Indicate a general rule for the nth term of the sequence when a1 = 5 and r = √3 .

an = (√3)(5)n + 1
an = (√3)(5)n - 1
an = (5)(√3)n - 1
an = (5)(√3)n + 1

Answers

the right answer is an=5(3)^(n-1)/2

Answer:

C. [tex]a_n=5\cdot (\sqrt{3})^{n-1}[/tex]

Step-by-step explanation:

We have been given that first term of a geometric sequence is 5 and common ratio is [tex]\sqrt{3}[/tex]. We are asked to find the general rule for the nth term of the sequence.

We know that a geometric sequence is in form [tex]a_n=a_1\cdot (r)^{n-1}[/tex], where,

[tex]a_n[/tex] = nth term of the sequence,

[tex]a_1[/tex] = 1st term of the sequence,

r = Common ratio,

n = Number of terms in sequence.

Upon substituting our given values in general form of geometric sequence, we will get:

[tex]a_n=5\cdot (\sqrt{3})^{n-1}[/tex]

Therefore, option C is the correct choice.

Mean of the integers 8,-11,18,-8,-3

Answers

Answer:0.8, just add up and find the mean

First you add up all your numbers then you divide by how many numbers you have to get the mean.

Your answer would .8

8 + y ≥ 11


List 3 values that would make this inequality true.

Answers

Final answer:

To make the inequality 8 + y ≥ 11 true, y could be any value equal to or greater than 3. Examples of such numbers are 3, 4, and 5.

Explanation:

The inequality 8 + y ≥ 11 is asking for all the values of 'y' that, when added to 8, will give a number that is greater than or equal to 11. First, we can solve for the smallest possible 'y' by subtracting 8 from both sides of the inequality: y ≥ 11 - 8 simplifies to y ≥ 3. Therefore, any number greater than or equal to 3 will make the inequality true. Three examples of such numbers are 3, 4, and 5.

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what does a flowchart proof

Answers

Answer:

What is shows is that there could be an increase in a business or a decrease. It shows whats happened in the last amount of time. It can show if you have been doing good or bad in something.

Step-by-step explanation:

Answer:

By its diagrammatic representation, a flow chart can represent step-by-step the solution of a task.

Step-by-step explanation:

A flow chart is commonly defined as a diagrammatic representation or concept map of an algorithm. They can be used to shows the statements and reasons needed to indicate the logical order during the solution of a task.

Bearing the above in mind, it could be said that they illustrate the solution to a certain problem, as well they can analyze, design or manage a process.

Use special right triangle ratios to determine the length of x and y below

Answers

Answer:

see explanation

Step-by-step explanation:

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{1}[/tex]

hence x = sin30° = [tex]\frac{1}{2}[/tex]

and

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{1}[/tex]

hence y = cos30° = [tex]\frac{\sqrt{3} }{2}[/tex]

Use basic trigonometric identities to simplify the expression: sin (-x) cos (-x) csc (-x) =?

Answers

Answer:

[tex]sin (-x) cos (-x) csc (-x) =cos(x)[/tex]

Step-by-step explanation:

We know by definition that the cosine is an even function, therefore

[tex]cos (-x) = cos (x)[/tex]

We also know that the sin is an odd function, therefore

[tex]sin (-x) = -sin (x)[/tex]

By definition:

[tex]cscx = \frac{1}{sinx}.[/tex]

Then:

[tex]csc(-x) = \frac{1}{sin(-x)}.[/tex]

[tex]csc(-x) = -\frac{1}{sin(x)}.[/tex]

Using these trigonometric properties we can simplify the expression

[tex]sin (-x) cos (-x) csc (-x)= -sin(x)cos(x)*(-\frac{1}{sin(x)})\\\\sin (-x) cos (-x) csc (-x)=cos(x)[/tex]

Hello!

The answer is:

The simplified expression is:

[tex]Sin(-x)*Cos(-x)*Csc(-x)=Cos(x)[/tex]

Why?

To simplify the expression we need to use the following trigonometric identities:

[tex]Sin(-x)=-Sin(x)\\Cos(-x)=Cos(x)\\Csc(-x)=-Csc(x)\\Csc(x)=\frac{1}{Sin(x)}[/tex]

We are given the expression:

[tex]sin(-x)*cos(-x)*csc(-x)[/tex]

So, applying the identities and simplifying, we have:

[tex]Sin(-x)*Cos(-x)*Csc(-x)=-Sin(x)*Cos(x)*-\frac{1}{Sin(x)}[/tex]

[tex]Sin(-x)*Cos(-x)*Csc(-x)=Cos(x)*-Sin(x)*-\frac{1}{Sin(x)}[/tex]

[tex]Sin(-x)*Cos(-x)*Csc(-x)=Cos(x)[/tex]

Hence, the simplified expression is:

[tex]Sin(-x)*Cos(-x)*Csc(-x)=Cos(x)[/tex]

Have a nice day!

you sell ice cream cones. the table shows your profit for selling different numbers of cones . based on the x- and y-values in the table , which equation shows how the number of cones sold and profit (in dollars) are related

Answers

Answer:

y=2x-8

Step-by-step explanation:

this is the answer for ttm

Find the missing length round to the nearest tenth I don’t know how to do this

Answers

Answer:

Step-by-step explanation:

Answer:

19.4

Step-by-step explanation:

21^2 = 8^2 + a^2

441 = 64 + 377

the square root of 377 = approximately 19.4

Which statements are true about slices of a nght rectangular prism? Check all that apply
The prism sliced by a plane parallel to the base will take the shape of the base
The prism sliced by a plane parallel to the base will take the shape of the side face
The prism sliced by a plane perpendicular to the base will take the shape of the base
The prism sliced by a plane perpendicular to the base will take the shape of the side ce
U The prism sliced by a plane perpendicular to the base will take the shape of a triangle​

Answers

Answer: A and D .

Explanation: The prism by a plane parallel to the base will take the shape of the base and The prism sliced by a plane perpendicular to the base will take the shape of the sides is the correct answers.

The prism by a plane parallel to the base will take the shape of the base and The prism sliced by a plane perpendicular to the base will take the shape of the sides.

What is a rectangular prism?

There are a total of six faces, twelve sides, and eight vertices in a rectangular prism. It has three dimensions, just like a cuboid: the base width, the height, and the length. The rectangular prism has a rectangular shape at its top and bottom. A rectangular prism has opposite face pairs that are identical or congruent.

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PLEASE HELP WITH THE QUESTION BELOW ASAP!! THANKS SO MUCH!

Answers

Answer:

y=-1/4x-4

Step-by-step explanation:

it simple rise over run: -1 go down one over 4 right or the other way around go up 1 and left 4 either way would work your y intercept is -4 because that is the point crossing the y-axis hope i helped!

Answer: y= (-1/7)x - 4

Step-by-step explanation:

Choose any two points on the line and use the slope equation:

(0,-4) (7,-5)

m = (y2 - y1) / (x2 - x1)

So: m = (-5 - (-4)) / (7 - 0)

m = - 1/7

Use point slope form to find the line:

(y - y1) = m(x - x1)

(y - (-4)) = (-1/7)(x - 0)

y + 4 = (-1/7)x

y = (-1/7)x - 4

What does x equal? Similarity

Answers

Check the picture below.

X= 2

This is the answer I don’t know if you want an explanation or not but it needs to be 20 cHaRaCterS lONg


Which choice correctly describes this event? I will flip a coin 100 times and get heads exactly 50 times and tails exactly 50 times.












A) Certain


B) Impossible


C) Unlikely


D) Likely

Answers

A.certain because everybody can do that

Answer:

unlikely just took a test

answer in need
just answer the first word problem and the 3rd, first section (iii) question

will surly mark brainlist

answer fast plz.........

will earn 12 points + brainlist

Answers

i thimk this might be the answer to question 3 (iii)

I'm sorry I don't know how to solve the first question

which point lies on the graph of the function shown below?

y= -x^2 + 4x -2

Answers

I'm pretty sure quadrant II (2,2)

Answer:

(1,1)

Step-by-step explanation:

the point (1,1) lies on the graph of the function!

hi can you help with this !

In a fruit cocktail, for every 25 ml of orange juice you need 30 ml of apple juice and 45 ml of coconut milk. What proportion of the cocktail is coconut milk?
Give your answer as a fraction in its simplest form.

Answers

9/20 is coconut milk

The proportion of coconut milk in the fruit cocktail is 9/20, which is calculated by dividing the amount of coconut milk (45 ml) by the total volume of the cocktail (100 ml), then simplifying the fraction.

To find the proportion of coconut milk in the fruit cocktail, we first add up the total amount of all the liquids that go into the cocktail. According to the question, for every 25 ml of orange juice, there is also 30 ml of apple juice and 45 ml of coconut milk mixed together. Adding these amounts gives us a total mixture volume of 25 ml + 30 ml + 45 ml = 100 ml for the cocktail.

Next, we need to find out what fraction of this total mixture is coconut milk. Since there are 45 ml of coconut milk in the total 100 ml of the cocktail, the fraction is 45/100. This fraction can be simplified by dividing both numerator and denominator by the greatest common divisor, which is 5, giving us 9/20.

Therefore, the proportion of coconut milk in the fruit cocktail is 9/20.

given [tex]f(x) =x^2 -6x+8 and g(x) =x-2[/tex], solve f(x) -g(x) using a table of values

Answers

For this case we have the following functions:

[tex]f (x) = x ^ 2-6x + 8\\g (x) = x-2[/tex]

We must subtract the functions:

[tex]f (x) -g (x) = x ^ 2-6x + 8- (x-2)\\f (x) -g (x) = x ^ 2-6x + 8-x + 2\\f (x) -g (x) = x ^ 2-7x + 10[/tex]

We build a table of values for [tex]x = 0,1,2,3.[/tex]

[tex]x = 0, f (x) -g (x) = 0 ^ 2-7 (0) + 10 = 10\\x = 1, f (x) -g (x) = 1 ^ 2-7 (1) + 10 = 1-7 + 10 = 4\\x = 2, f (x) -g (x) = 2 ^ 2-7 (2) + 10 = 4-14 + 10 = 0\\x = 3, f (x) -g (x) = 3 ^ 2-7 (3) + 10 = 9-21 + 10 = -2[/tex]

Answer:

[tex]f (x) -g (x) = x ^ 2-7x + 10[/tex]

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