A shoebox has a length of 1 1/4 feet, a width of 1 foot, and a height of 1/2 foot cubes that measure 1/4 foot on each side are packed into the shoebox. how many of these cubes will fit inside the shoebox

Answers

Answer 1

The number of cubes that will fit into the shoebox is 40 cubes

How to calculate the volume of a box

Volume is the measure of a substance an object contains

Volume of the box = length * width * height

Volume of the box = 5/4 * 1 * 1/2
Volume of the box = 5/8cubic unit

Determine the volume of the box

Volume of the box = l³

Volume of the box = (1/4)³ = 1/64 cubic units

Number of cubes = (5/8)/(1/64)
Number of cubes = 5/8 * 64/1
Number of cubes = 5 * 8
Number of cubes = 40 cubes

Hence the number of cubes that will fit into the shoebox is 40 cubes

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Related Questions

the volume of a cylinder is 411π in^3. The height of the cylinder is 9 in. Calculate the diameter of the cylinder to the nearest tenth of a centimeter.

Answers

Answer:

13.5 in, or 34.3 cm.

Step-by-step explanation:

First, use the formula volume = pi * r^2 * height- you have the volume, so just solve the equation 411pi = pi * 9 * r^2 for r, and you get that r = 6.75. Since diameter is equal to 2r, multiply 6.75 by 2 to get your answer of 13.5 inches. The questions asks for the diameter in centimeters though, which makes it 34.3 cm.

Hopefully this helps- let me know if you have any questions!

A baker needs 500 cupcake wrappers for this month's orders.

He has 365 cupcake wrappers in his store.

He buys an additional 250 cupcake wrappers.

He wants to see if he has enough cupcake wrappers.


Complete the statements. Answer All


1. Should the baker round the wrappers up or down?


2. Estimate the total number for wrappers.


3. The baker has or doesn't have enough cupcake wrappers.


(I kinda forgot how to round and estimate

Answers

Answer:

the Baker should round up.

365=400 250=300 400+300=700. the Baker does have enough. and even if you add 365+ 250 you get 615 over 500.

The total number of wrappers is 615 wrappers, which implies bakes has enough cupcake wrappers.

Given that,
A baker needs 500 cupcake wrappers for this month's orders, he has 365 cupcake wrappers in his store. He buys an additional 250 cupcake wrappers.


What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Total number of wrappers = 365 +  250 = 615
But according to the condition, a baker needs 500 cupcake wrappers for this month's orders. So the number of wrappers exceeds 15.


Thus, the total number of wrappers is 615 wrappers, which implies bakes has enough cupcake wrappers.

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0.09+
100
27

=
100

+
100
27

Answers

Answer:

x = 9#

Step-by-step explanation:

need help with answer just ask me i got yall

Write an expression equivalent to 6 — 2.2 +5+ 4. that only has two
terms.

Answers

Answer:

3.8 + 9?

Step-by-step explanation:

If x=3, calculate the value of:
X squared + 2x

Answers

[tex]x^2+2x\\\\\text{If x = 3,}\\\\3^2 + 2(3) = 9 + 6 = 15[/tex]

this question is to hard

Answers

Answer:

A

Step-by-step explanation:

it aligns with the other dots, and you can do exactly 1-1

Answer:

C. (9,4.5)

Step-by-step explanation:

with each ordered pair, the y axis is half of the x axis.

what is the factored form of the equation f(x)=4x^2-4x-8

Answers

Answer:

4(x² - x - 2)

Step-by-step explanation:

The highest common factor is 4 so factor it out.

Answer:

Step-by-step explanation:4x2−4x−84x2-4x-8Factor 44 out of 4x2−4x−84x2-4x-8.

Factor 44 out of 4x24x2.4(x2)−4x−84(x2)-4x-8Factor 44 out of −4x-4x.4(x2)+4(−x)−84(x2)+4(-x)-8Factor 44 out of −8-8.4(x2)+4(−x)+4(−2)4(x2)+4(-x)+4(-2)Factor 44 out of 4(x2)+4(−x)4(x2)+4(-x).4(x2−x)+4(−2)4(x2-x)+4(-2)Factor 44 out of 4(x2−x)+4(−2)4(x2-x)+4(-2).4(x2−x−2)


Factor x2−x−2x2-x-2 using the AC method


Consider the form x2+bx+cx2+bx+c. Find a pair of integers whose product is cc and whose sum is bb. In this case, whose product is −2-2and whose sum is −1-1.−2,1

Write the factored form using these integers.4((x−2)(x+1))4((x-2)(x+1))Remove unnecessary parentheses.4(x−2)(x+1)

Understanding Distance Units
х
Stephen Kiprotich, the 2012 Olympic marathon winner,
completed the 26.219 miles in 128 minutes. What was
his speed in kilometers per minute? ?
What steps should you take to solve this problem?

Answers

Answer:

divide

Step-by-step explanation:

divide 26.216 and 128 to get ur anser

John ordered a large three topping pizza for $7. 50 and a large 8 topping pizza for $10. Write an equation in slope-intercept form to describe the situation. (use fractions) (15 points)

Answers

to get the equation of any straight line, we simply need two points off of it, well, let's use the provided values hmmm

[tex]\begin{array}{ccll} \stackrel{toppings}{x}&\stackrel{cost}{y}\\ \cline{1-2} 3 & 7.50\\ 8& 10 \end{array} \qquad\implies \qquad (\stackrel{x_1}{3}~,~\stackrel{y_1}{7.50})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{10}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{10}-\stackrel{y1}{7.50}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{3}}}\implies \cfrac{2.5}{5}\implies \cfrac{~~ \frac{25}{10}~~}{5}\implies \cfrac{25}{50}\implies \cfrac{1}{2}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7.50}=\stackrel{m}{\cfrac{1}{2}}(x-\stackrel{x_1}{3})\implies y-\cfrac{750}{100}=\cfrac{1}{2}(x-3) \\\\\\ y-\cfrac{15}{2}=\cfrac{1}{2}x-\cfrac{3}{2}\implies y=\cfrac{1}{2}x-\cfrac{3}{2}+\cfrac{15}{2}\implies y=\cfrac{1}{2}x-6[/tex]

Not an actual test question but just curious:
if an exponential function is flipped by the x axis then is that function still positive or negative.
EX:

Answers

well, when we use the word "the function" we're referring to the dependent part, which depends on the independent, y,x wise, we're referring to the function "y" or f(x) if you wish.

so for an exponential function

is the function ever positive only? it can be

is it negative only?  it can be

can it be both?  sure thing, most of the time it's both

we can say a function f(x) is always positive when the independent values of "x" yield a positive value only, mind you that when we're talking about "the function" we're really referring to the resulting values in a set, so can the values of the output no matter what "x" we use be always positive? sure, can they also be negative only? sure, how about both? sure thing.

notice the template in the picture below, we can transform any exponential function like the one above 2ˣ with some vertical shift upwards, and is always positive, or -2ˣ with a vertical shift downwards and it's always negative, or we can stretch it about and have -2ˣ shifted upwards so sometimes is positive, and sometimes is negative.

above the x-axis is always positive, below is negative, but with transformations on the parent function it can be any of the three types.

what is the correct answer to this?

Answers

Answer:

1.4 meters

Step-by-step explanation:

Given,

Volume of rectangular prism ( V ) = 18.144 cubic meters

Width ( w ) = 2.7 m

Length ( l ) = 4.8 m

To find : d

Here, d is Height ( h ).

Formula : -

V = whl

18.144 = 2.7 x 4.8 x d

18.144 = 12.96 x d

d = 18.144 / 12.96

d = 1.4 meters

[tex] \huge\fbox\green{ANSWER} [/tex]

[tex]v = l \times w \times h[/tex]

[tex]18.144 {m}^{3} = 4.8m \times 2.7m \times d[/tex]

[tex]18.144 {m}^{3} = 12.96 \times d[/tex]

[tex] \frac{18.144 {m}^{3} }{12.96 {m}^{2} } = \frac{12.96 {m}^{2} }{12.96 {m}^{2} } \times d[/tex]

[tex]1.4m = d[/tex]

simplify:
A. -9(-2)
B. -9(+6)
C. -9/-3
D. 9/-1​

Answers

Answer:

A. 18

B. -3

C. 3

D. -9

Step-by-step explanation:

Simplify:

A. -9(-2) <== when multiplying two negatives, they make a positive

-9(-2) = 18

B. -9(+6)

-9(+6) = -3

C. -9/-3 <== when dividing two negatives, they make a positive

-9/-3 = 3

D. 9/-1​ <== when dividing a # with a negative, it makes a negative

9/-1​ = -9

Hope this helps!

Solve for x please and round

Answers

Answer:

[tex]\displaystyle 74,4[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{x}{67} = cot\:42 \hookrightarrow 67cot\:42 = x \hookrightarrow 74,411038494... = x \\ \\ 74,4 ≈ x[/tex]

OR

[tex]\displaystyle \frac{67}{x} = tan\:42 \hookrightarrow xtan\:42 = 67 \hookrightarrow \frac{67}{tan\:47} = x \hookrightarrow 74,411038494... = x \\ \\ 74,4 ≈ x[/tex]

Information on trigonometric ratios

[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]

I am joyous to assist you at any time.

1. What number, when substituted for x in the following problem, will make the problem true?
6X + 8% = 107

Answers

Answer:

x = 17.82

Step-by-step explanation:

6x + 8% = 107    

      -8%    -8%

or

107 - 0.08 = 106.92

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

6x = 106.92

÷6      ÷6

x = 17.82

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

I hope this helps!

A cylinder has a base diameter of 20ft and a height of 5ft. What is its volume in cubic ft, to the nearest tenths place?

Answers

Answer:

Formula for volume of cylinder;

V = π[tex]r^{2}[/tex]h

Where 'π' represents pi(22/7 or 3.14), 'r' represents the radius which is 1/2 x diameter (half of diameter = radius) which is squared, and 'h' which represents the height.

To find the radius of the diameter 5, we must find 1/2 of 5:

1/2 x 5

5/2 = 2.5 is our radius.

Now we plug these into our equation:-

V = π[tex]r^{2}[/tex]h

V = 3.14(2.5^2) x 20

V = 3.14(6.25) x 20

V = 19.625 x 20

V = 392.5 cubic feet.

The table shows information about town a in illinois and town b in florida. a 3-column table has 2 rows. the first column has entries town a, town b. the second column is labeled population with entries 54,016, question mark. the third column is labeled area (miles squared) with entries 3.89, 0.37. if the two towns have the same population density, which must also be true? town b has the same population as town a. town b has a greater population than town a. town b has a population of approximately 5,138. town b has a population of approximately 37,530.

Answers

Answer:

c. Town B has a population of approximately 5,138.

Step-by-step explanation:

sorry its late

Based on the population density, town B has a population of approximately 5138; option C

What is population density?

Population density is the ratio of the total population of a place and the area of the place.

Population density = population/area

Population density of A = 54016/3.89 = 138885.86 per square miles

Population density of B = 138885.86 per square miles

Population of B = 138885.86 × 0.37 = 5138

Therefore, town B has a population of approximately 5138.

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Construct a specific 2x2 matrix a with no zero entries at all such that aat = i

Answers

A 2 x 2 matrix has 2 rows and 2 columns

A specific 2 x 2 matrix a with no zero entries at all is [tex]\left[\begin{array}{cc}1&-2\\-3&6&\end{array}\right][/tex]

How to construct the matrix?

From the question, we understand that the matrix is a 2 x 2 matrix.

A 2 x 2 matrix is represented as:

[tex]\left[\begin{array}{cc}a&b\\c&d&\end{array}\right][/tex]

Also from the question we understand that the elements of the matrix are non-zero.

This means that:

[tex]a \ne 0\ , b \ne 0, \ c \ne 0, \ d \ne 0[/tex]

An example of such matrix is:

[tex]\left[\begin{array}{cc}1&-2\\-3&6&\end{array}\right][/tex]

Note that there are several matrices that fit the given construction requirement

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You create a recipe for slime by making some 20% pure slime and some 80% pure to create 100 gallons of a 65% slime mixture. How man gallons of the 20% mixture are needed

Answers

About 25 gallons of 20% mixture are needed to make the 80% mixture.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the amount of gallons of 20% mixture needed, hence:

(20% of x) + (80% of y) = 65% of 100

0.2x + 0.8y = 65   (1)

Also:

x + y = 100    (2)

From both equations:

x = 25, y = 75

About 25 gallons of 20% mixture are needed to make the 80% mixture.

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What is the measure of angle L and F? WILL GET BRAINLIEST!!!!!!​

Answers

Angle L
SinL = 6/10
L = sin-1(6/10)

L = 36.87°

Angle F
SinF =8/10
F = sin-1(8/10)

F= 53.13°

help with q7 please !!

Answers

Step-by-step explanation:

[tex] \frac{dA}{dx} = 3 {(x - 1)}^{2} \\A = ∫3 {(x - 1)}^{2}dx \\ = ∫3 {x}^{2} - 6x + 3 \: dx \\ = \frac{3 {x}^{3} }{3} - \frac{6 {x}^{2} }{2} + 3x + c \\ = {x}^{3} - 3 {x}^{2} + 3 + c[/tex]

Now substitute in A=10 and X=3, to find the value of c

[tex]10 = {3}^{3} - 3 {(3)}^{2} + 3(3) + c \\ c = 1[/tex]

Hence,

[tex]A = {x}^{3} - 3 {x}^{2} + 3x + 1[/tex]

PLS HELP QUICK
Rachel designs a small flower garden for her new home. The garden is the shape of a rectangle, with a quarter circle added to each of the shorter sides of the rectangle. The shorter sides of the rectangle each measure 4 feet. The area of the garden is 73.12 ft2. What is the length of the other dimension rectangular portion of the garden?
Use 3.14 as an approximation for pi.

Answers

The length of the other dimension rectangular portion of the garden is 12 feet.

What is area?

Area is the amount of space occupied by a two dimensional shape or object.

The area of each semicircle = (1/4) * π * radius² = (1/4) * π * 4² = 12.56 ft²

Let x represent the other side of the rectangle, hence:

Area of garden = 2(12.56) + 4x = 4x + 25.12

Hence:

73.12 = 4x + 25.12

x = 12 feet

The length of the other dimension rectangular portion of the garden is 12 feet.

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is -13/3 rational or irrational

Answers

Answer:

It is irrational

Step-by-step explanation:

Hope that helps!

If x represents the molar solubility of b a 3 ( p o 4 ) 2 , what is the correct equation for the k s p ?

Answers

The molar solubility of Ba₃(PO₄)₂ is its concentration of pure substance

The correct equation for the ksp is Ksp = 6x⁵

How to determine the equation of ksp?

Start by writing the reaction for the solution of Barium phosphate

Ba₃(PO₄)₂  ⇌3Ba²⁺ +2PO₄³⁻

Next, we make an ICE chart

Let "x" be the molar solubility of Barium phosphate

          Ba₃(PO₄)₂(s)  ⇌3Ba²⁺ +2PO₄³⁻

I                                 0                  0

C                              +3x               +2x

E                                3x³                 2x²

Lastly, we write the expression for the solubility product constant (Ksp)

This is represented as:

Ksp = [3Ba²⁺] × [2PO₄³⁻]²

Ksp = 3x³ × 2x²

Evaluate the product

Ksp = 6x⁵

Hence, the correct equation for the ksp is Ksp = 6x⁵

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The molar solubility of Ba₃(PO₄)₂ is its concentration of a pure substance.

The correct equation for the ksp is Ksp = 6x⁵.

How to determine the equation of ksp?

The solubility product constant is the equilibrium constant for the dissolution of a solid substance into an aqueous solution. It is denoted by the symbol Ksp.

Start by writing the reaction for the solution of Barium phosphate.

Ba₃(PO₄)₂  ⇌3Ba²⁺ +2PO₄³⁻

Let "x" be the molar solubility of Barium phosphate

         Ba₃(PO₄)₂(s)  ⇌3Ba²⁺ +2PO₄³⁻

I                                 0                  0

C                              +3x               +2x

E                                3x³                 2x²

Lastly, we write the expression for the solubility product constant (Ksp),

This is represented as:

Ksp = [3Ba²⁺] × [2PO₄³⁻]²

Ksp = 3x³ × 2x²

Evaluate the product

Ksp = 6x⁵

Hence, the correct equation for the ksp is Ksp = 6x⁵

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which shape is a trapeziod with only 1 pair of parallel sides

Answers

Answer: A Quadrilateral is a trapeziod with only 1 pair of parallel sides.

Hope this helps!

Answer:

The trapezoid itself, including quadrilaterals.

Trapezoids have 1 pair of parallel sides. See picture below.

The amount of money Camilla earns varies directly with the number of hours she works. If she earns $150 when she works 20 hours, how much will she earn for working 60 hours?

What is k ? (k = y/x)

What is the equation for the direct variation situation? (y = kx)

How much will she earn for working 60 hours?

Answers

What is k ? (k = y/x)

     If y is dollars earned and x is hours worked,

k = y/x

k = 150 dollars /20 hours

k = 7.50 dollars per hour

What is the equation for the direct variation situation? (y = kx)

y = kx

y = (7.50)(60)

y = 450

How much will she earn for working 60 hours?

y = $450

       She will earn $450 after working for 60 hours.

Your class of 96 students is going on a field trip to the aquarium.
You filled one school bus, and the second school bus had 6 seats left
over. Write and solve an equation to determine how many students
s can fit on one school bus.

Answers

Answer:

51 seats

Step-by-step explanation:

96 = 2 buses minus six seats

96 = 2x -6

102 = 2x

102/2 = x

51 seats

Which expression is equivalent to 16 4 6 ax?

Answers

Answer:

i believe the correct answer is a

Identify the center and the radius of a circle that has a diameter with endpoints at (−5, 9) and (3, 5)

Answers

Check the picture below, so the circle looks more or less like that one.

well, the center of it is simply the Midpoint of those two points, and its radius is simply half-the-distance between them.

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{5}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 3 -5}{2}~~~ ,~~~ \cfrac{ 5 + 9}{2} \right)\implies \left( \cfrac{-2}{2}~~,~~\cfrac{14}{2} \right)\implies \stackrel{center}{(-1~~,~~7)} \\\\[-0.35em] ~\dotfill[/tex]

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{diameter}{d}=\sqrt{[3 - (-5)]^2 + [5 - 9]^2}\implies d=\sqrt{(3+5)^2+(-4)^2} \\\\\\ d=\sqrt{8^2+16}\implies d=\sqrt{80}\implies d=4\sqrt{5}~\hfill \stackrel{\textit{half the diameter}}{\cfrac{4\sqrt{5}}{2}\implies \underset{radius}{2\sqrt{5}}}[/tex]

Harold got home from school at 3:50 P.M. and played video games for 1 hour and 5 minutes. Then, it took him 1 hour and 40 minutes to finish his homework. What time was it when Harold finished his homework?

Answers

Answer:

6:35.

Step-by-step explanation:

I start by adding the hours spent to the time leaving me with 5:50, I then add the 40 which brings it to 6:30 and the additional 5 minutes bringing the final answer to 6:35.

Answer:

6:35 PM

Step-by-step explanation:

When Harold got home, it was already 3:50 PM. Then he played games for an hour and five minutes. Adding on an hour, it made the time 4:50 PM, and then adding on the five minutes, made the time 4:55 PM. When he finished playing games, he took an hour and forty minutes to do his homework. 4:55 PM, adding on the hour makes it 5:55 PM, then adding the 40 minutes, makes it 6:45 PM.

- Educationist

complementary
supplementary
neither

Answers

Answer:

Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees. Note that in these definitions, it does not matter whether or not the angles are adjacent; only their measures matter.

Step-by-step explanation:

hope its help po

correct me if im wrong

Two angles say x and y, are said to be complementary iff the sum of both angles x and y is 90° , while on the another hand, if their sum is 180°, they're called supplementary angles. So, here 75° + 105° = 180°, so both the angles are supplementary.

Hence, the required answer is supplementary

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