Box
30 cm
32 cm
15 cm
A wooden box measures 30 cm by 15 cm by 32 cm.
The box has a lid.
Carton
Can James put all 110 cartons in the box and shut the lid?
Show your working clearly.
5 cm
A carton measures 5 cm by 5 cm by 5 cm.
James has 110 cartons.
He wants to put all these cartons in the box and be able to shut the lid.
5 cm
5 cm
D
ac
Answers
Box1= 30x15x32= 14400
Then you do 5x5x5 =125
14400/125 = 115.2
So he can fit all boxes with room to spare so he can shut the lid
Related Questions
Carnegie Learning, Inc.
Victor drew a square with vertices at (1, 2), (3, 2), (3, 4), and (1, 4). He slides the square 5 units
up to create an image. What are the vertices of the image and the algebraic rule?
A (6,2), (8, 2), (8, 4), and (6, 4); (x + 5, y)
B (1,7), (3, 7), (3, 9), and (1, 9); (x, y + 5)
C (1, -3), (3, -3), (3, -1), and (1, -1); (x, y - 5)
D (1,-2), (3,-2), (3, -4), and (1,-4); (x, -y)
Why a is wrong?
And why b is correct
Answers
Answer:
B
Step-by-step explanation:
The y coordinate tells us when we are going up for down. So the rule would be (x, y + 5) So, the x coordinate stays the same and the y goes up 5.
(1,2) The 2 is the y coordinate. It will increase by 5 and become (1,7)
(3,2) The 2 is the y coordinate. It will increase by 5 and become (3,7)
(3,4) The 4 is the y coordinate. It will increase by 5 and become (3,9)
(1,4) The 4 is the y coordinate. It will increase by 5 and become (1,9)
8w-6(w-4)=2(w+9)
please help asap
Answers
Answer:
w = -7.04 and 1.705
Step-by-step explanation:
First lets distribute.
We have 8w-6w(w-4), so let's distribute the -6w to w and -4
8w-6w^2+24w = 2(w+9)
Now for the other side we distribute 2 to w and 9
8w-6w^2+24w = 2w +18
Now we combine like terms
6w^2+32w = 2w +18
Carry both 2w and 18 to the other side
6w^2 +30w -18 = 0
Now we can factor the equation, i used the quadratic method which is x= -b+- the square root of b^2-4ac /2a (in this case x would be w)
Plugging that in:
x= -32 +- square root of 32^2 -4(6 * -18) / 2(6)
-32 +- square root of 1024 +1728 / 12
-32 +- square root of 2752 /12
-32 +- 52.46 /12
x = -32 - 52.46/12 and -32 + 52.46/12
x= -84.46/12 and 20.46/12
x= -7.04 and 1.705
so w = -7.04 and 1.705
Sorry this was so complicated, but I hope this helps
Find the largest possible area for a rectangle with base on the x-axis and both upper vertices are on the curve y=11-x^2
Answers
The largest area of rectangle can be A= (11√11)/√2
What is area of rectangle?To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.
Area = l × w. l = length. w = width.
Given:
y=11-x²
Consider,
x is the length of the base
y is the vertices on the curve (width)
As, the area of a rectangle with its base on the x-axis.
So, base =2x
Then Area of rectangle
A = 2x(11-x²)
Foe maximum area, dA/dx=0
dA/dx = 22-4x²
22-4x² =0
22=4x²
11/2 = x²
x=√(11/2)
Now, Put x=√(11/2) in area
A= 2*√(11/2) ( 11-11/2)
A= √22(11/2)
A= (11√11)/√2
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You roll a number cube. What is the probability that you roll an even number or a number less than 5?
Answers
Next, the probability of rolling a number less then five is 4/6 (or 2/3 simplified), since we have 4 sides labeled with a number less than 5.
To compute two or more probabilities, we multiply them. In this case, the fractions already share the same denominator, 6 (because it’s a cube with 6 sides). So we get:
3/6 * 4/6
We then square 6, which is 36, and multiply 3 by 4, which is 12. This gives us 12/36, which is 1/3 in simplified form.
So there’s out answer: 1/3.
what is the reference angle for 202 degrees
Answers
Answer: 22 degrees
Step-by-step explanation:
Since the angle 180° is in the third quadrant, subtract 180° from 202°.
HELPPP I’ll mark you BRAINLIST if it’s right
Answers
Answer:
is 0 is the right answer of this??
Answer: The factored answer for 36c - 81 is 9(4c−9)
Step-by-step explanation:
Based on the question as posed, 9(4c-9) is the factored answer. It is not possible to derive a single whole number value based on this equation, though the factored result would be greater than 1 where c > 3.
write an equation for the following math sentence
one fourth times the difference of ten and a variable
Answers
Given statement 'one fourth times the difference of ten and a variable' as a mathematical expression would be: 1/4 (10 - x)
In this question, we have been given a mathematical statement 'one fourth times the difference of ten and a variable'
We need to write an equation for the given math sentence.
Given math sentence: one fourth times the difference of ten and a variable
Let the variable be 'x'
We rewrite above statement as,
one fourth times the quantity ten minus x
⇒ 1/4 × (10 - x)
so, we get an expression 1/4 (10 - x)
Therefore, given statement 'one fourth times the difference of ten and a variable' as a mathematical expression would be: 1/4 (10 - x)
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The table represents a function.
X
-6
7
4
3
-5
f(x)
8
3
-5
-2
12
Which value is an output of the function?
-6
-2
07
Answers
Answer:
- 2
Step-by-step explanation:
The output of a function is a value of f(x) for a given value for x. From the table, only - 2 matches a value of f(x) and so this is the output.
All the others are values for x so they are inputs to the function
n the experiment of the preceding exercise, the subjects were randomly assigned to the different treatments. men with high blood pressure are assigned at random to one of four diets: (1) normal diet with unrestricted salt; (2) vegetarian with unrestricted salt; (3) normal with restricted salt; and (4) vegetarian with restricted salt. what is the most important reason for this random assignment?
Answers
Two factors, normal/vegetarian diet and unrestricted/restricted salt is correct.
What is the difference between the Non-restricted and the restricted course?
The majority of shotguns and rifles can be bought, sold, or registered with a non-restricted weapons license. The most popular handguns can be bought, sold, and registered with the restricted firearms license.We have diet two types: normal and veg
salt: restricted and non-restricted
Hence,
option(C) two factors, normal/vegetarian diet and unrestricted/restricted salt is correct.
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Please help 11 points add 11/3 + (-5/6) using the number line. select the location on the number line. select the location on the number number line to plot the sum.
Answers
The value of 11/3 + (-5/6) using the number line is 17/6.
Number line:
The number line is a visual representation of numbers on a straight line.
In a number line, Zero (0) is considered to be the origin of a number line. The numbers to the left of 0 are negative numbers and the numbers to the right of 0 are all positive numbers.
Given,
Here we have to add the values 11/3 + (-5/6) by using the number line.
To solve this one,
First we have to convert the fractions into decimals,
So, the decimal equivalent of
11/3 = 3.6
-5/6 = -0.8
So, the addition of these two is
=> (11/3) + (-5/6)
=> 3.6 + (-0.8)
=> 2.8
The fraction of the number is
=> 2.8 = 17/6.
This can be expressed in the following number line.
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If you roll a standard 6 sided die and you get paid $1 for every spot it lands on (so if you roll a 5 that would mean $5), what's the average payout for one roll?
Answers
Answer:
20
Step-by-step explanation:
2x3-x2-2x+1 divided by 2x-1
Answers
Answer: we have to divide a
This should be done by using a long division method.
multiply x+1 by
Therefore the quotient is
The remainder is 0
Step-by-step explanation: hope this helps
Answer:
2x^3-7x/2 -1
Step-by-step explanation
Let me know if this is an option. I was unsure if the x was the letter x or the multiplication symbol. Thanks, let me know
I do not understand UPSE what am I so sapouse to do and how?
Answers
First of all let me tell you UPSC is the body which conducts the civil services examination in our country. To prepare for the civil services you must know it is the highest offered post by the government to an citizen of India.
You have many subjects in order to complete the syllabus of civil services.
The examination takes place in two parts. In the first part there are multiple choice questions and in the second part there are subjective questions which must be answered in a descriptive format.
The candidate also has to face interview after clearing both the examinations.
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140%of 138.6 is what
Answers
Hello, the answer is 194.04.
First, you would convert 140% to a decimal which is 1.4. Next, you would multiply 1.4 x 138.6 = 194.04.
So the steps to a percentage multiplied to a number are:
1. Convert the percentage to a decimal.
2. Multiply the decimal by the number.
3. You get the answer.
The students in art class have blue cloth that's 60 inches long, glod cloth that is 48 inches long, and white cloth that is 72 inches long. They want to cut all the cloth into pieces of equal lenght for a project.
What is the greatest lenght of the pieces without having any cloth leftover? explain your reasoning.
Answers
Length of blue cloth is 60 inches , length of gold cloth is 48 inches and length of white cloth is 72 inches are greatest lenght of the pieces by greatest common factor.
What does "largest common factor" mean?
A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, the numbers 12, 20, and 24 share the components 2 and 4. Since four is the largest, we refer to the GCF of 12, 20, and 24 as four.a. As, the length of all pieces are equal, so for getting the greatest possible length of the pieces, we need to find GCF(greatest common factor) of 60, 48 and 72.
First we will factor out all three numbers completely
60 = 2 × 2 × 3 × 5
48 = 2 × 2 × 2 × 2 ×3
72 = 2 × 2 × 2 × 3 × 3
The common factors are: 2, 2 and 3
Thus the GCF = 2 × 2 × 3 = 12
So, the greatest possible length of the pieces without having any cloth left over will be 12 inches.
b. For finding the number of pieces for each color cloth, we will just divide the length of each cloth by 12. So
Number of pieces for blue cloth = 60/12 = 5
Number of pieces for gold cloth = 48/12 = 3
Number of pieces for white cloth = 72/12= 6
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The number of students in the four sixth-grade classes at Northside School are 36,19,34, and 21. Use properties to find the total number of students in the four classes. PLEASE HELP I DONT UNDERSTAND!
Answers
I need this answer ASAP I will for real pay you just please help me out
The water level in Colorado river is 2.55 m below average. a large rainfall caused The water level to rise 0.8 m. what is the water level after the rainfall?
Answers
The water level after the rainfall in the Colorado River is 3.35 meters.
How is the water level determined?The water level after the rainfall can be determined using the mathematical operation of addition.
A mathematical operation changes the output value of some input values.
For instance, adding 0.8 to 2.55 results in 3.35 meters of the height of the Colorado River after the rainfall.
Data and Calculations:The average water level in the Colorado River = 2.55 m
Increase in water level following the large rainfall = 0.8 m
New water level after the rainfall = 3.35 M (2.55 + 0.8)
Thus, the water level after the rainfall in the Colorado River is 3.35 meters.
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What does the pair of equations y = 1, z = 8 represent? in other words, describe the set of points (x, y, z) such that y = 1 and z = 8. a plane
Answers
The set of points (x , 1 , 8) describe a line that has constant value of y and z coordinates, i.e., is parallel to x-axis in the plane.
What is the equation of a line in a plane?The equation of a plane in R has the generic form: ax + by + cz + d = 0, where a, b, and c are the elements of the normal vector n = (a, b, c) that is perpendicular to the plane or any vector parallel to the plane.
Given: Equations of the lines:
y = 1z = 8To find: description of the points (x, y, z) in the plane.
Finding:
According to the given conditions, the lines y = 1 and z = 8 describe two lines with constant values of y and z coordinates respectively in the plane.
The set of points (x , 1 , 8) describe a line that has constant value of y and z coordinates, i.e., is parallel to x-axis and can have infinitely many values of x in the plane.
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What is “Three less than twice a number x is less than twenty “?
Answers
Answer:
3-x^2-20
Step-by-step explanation:
That is how you convert it from word form to standard form.
Is the function even, odd, or neither? Explain your reasoning.
Answers
Answer:
The function is neither odd, nor even
Step-by-step explanation:
It is because an even function is always symmetrical in respect with the y axis
It is because an odd function is always symmetrical in respect with the origin
There are three dials on a combination lock.
Each dial can be set to one of the numbers 1, 2, 3, 4, 5, 6
The three digit number 536 is one way the dials can
be set as shown in the diagram.
a) Work out the number of different three digit numbers
that can be set for the combination lock.
Answers
Answer: 136, 625,532,413
Step-by-step explanation:
Solve the given differential equation by using an appropriate substitution. the de is a bernoulli equation. xdy/dx-(1 x)y=xy^2
Answers
-ln ( 1 - x/y - x) = c is a bernoulli equation. xdy/dx-(1 x)y=xy^2.
What is a differential equations explain?
Any equation with one or more terms and one or more derivatives of the dependent variable with respect to the independent variable is referred to as a differential equation (i.e., independent variable) dy/dx = f(x) (x)
[tex]\frac{-1}{y} = u[/tex]
[tex]\frac{y'}{y^{2} } = u'[/tex]
[tex]xy' - ( 1 + x )y = xy^{2}[/tex]
[tex]x\frac{y'}{y^{2} } - ( 1 + x ) \frac{1}{y} = x[/tex]
xu' + ( 1 + x )u = x
xu' + u + ux = x
xu = s
u + xu' = s'
s' + s = x
s - x =t
s' - 1 = t'
t' + 1 + t = 0
dt/dx = - ( 1 + t)
-∫ [tex]\frac{dt}{1 + t} =[/tex] ∫dx
-ln ( 1+ t ) = x + c
-in ( 1 + s - x ) = x + c
-ln ( 1 + xu - x ) = x + c
-ln ( 1 - x/y - x) = c
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Stock Market At the beginning of the day the stock market goes up 30 1/2 points and stays at this level for most of the day. At
The
the end of the day the stock market goes down 80 1/4 points from the high at the beginning of the day. What is the total change
in the stock market from the beginning of the day to the end of the day?
The total change in the stock market is points.
(Type an integer, proper fraction, or mixed number.)
Answers
The total change in the stock market from the beginning of the day to the end of the day is -49.75.
According to the statement
We have to find that the change in the stock market.
So, For this purpose, we know that the
The change is the difference between the current price and the last trade of the previous day.
From the given information:
At the beginning of the day the stock market goes up 30 1/2 points and At
The end of the day the stock market goes down 80 1/4 points.
Then
Stock market goes up through points = 30 1/2 = 61/2
Stock market goes down through points = 80 1/4 = 321/4
Then
Change = +61/2 - 321/4
Change = +30.5 - 80.25
Change = -49.75
So, The total change in the stock market from the beginning of the day to the end of the day is -49.75.
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Find the distance between each pair of points
(2,-8) and (5,-6)
(-6,3) and and (5,6)
(1,5) and (7,-3)
(-1,4) and (0,-4)
(1,-3) and (-7,-4)
(-7,-6) and and (1,0)
(-3,-5) and and (-1,-8)
(1,8) and (-6,-1)
(2,-8) and (-4,-1)
Answers
Step-by-step explanation:
x1=2 , y1= -8
x2=5 , y2=-6.
distance= rootunder x2-x1 whole square + y2-y1 whole square
=(5-2)whole square + (-6-(-8)) whole square
= root under 9+4
=rootunder 13 units
Givien g(x) = -3x-5 , find g(4)
Answers
Answer: g(4)=-17
Step-by-step explanation:
You just plug in 4 into x.
-3(4)-5
-12-5
=17
Answer:
g(4) = -17
Step-by-step explanation:
Hello!
Substitute 4 for x in the equation.
Evaluateg(x) = -3x - 5g(4) = -3(4) - 5g(4) = -12 - 5g(4) = -17g(4) is -17.
Using graph paper, solve the following inequality. Then click on the graph until the correct one is displayed.
y ≥ |x - 1|
Answers
Using translation concepts, the first graph is the correct one.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, the function y = |x - 1| is a shift right of 1 unit of the function y = |x|. For the inequality, all the values above the line, including the line, are marked.
The graph of |x - 1| is triangular positive, with vertex at x = 1, hence the first graph is the correct one.
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300000 + 3524142532 =
Answers
Answer:
3524442532 or 3.524442532 * 10 ^9
Step-by-step explanation:
Evaluate $\sqrt{5\cdot10\cdot14\cdot21\cdot15\cdot20}$.
Answers
For f(x) = 3x+1 and g(x)=x2-6, find (f- g)(x).
Answers
The simplified equation of the given Arithmetic function (f- g)(x) is:
-x² + 3x + 7.
Arithmetic function describe as:Arithmetic is a fundamental branch of mathematics that studies the properties of classical operations on numbers such as addition, subtraction, multiplication, division, exponentiation, and root extraction.
Which of the following is not an arithmetic function?Addition, subtraction, multiplication, as well as division are the four basic arithmetic operations. There are additional arithmetic operators, such as exponentiation, modulus operations, increment, decrement, and so on. * - The operator for multiplication. As a result, the And operator is not an arithmetic operator.
According to the given information:Given:
f(x) = 3x+1
g(x)=x²-6
(f- g)(x) =
Substituting the value we get:
(f - g)(x) = (3x + 1) - (x² - 6)
= 3x + 1 - x² + 6
= -x² + 3x + 7
The simplified equation of the given Arithmetic function (f- g)(x) is = -x² + 3x + 7.
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Given the following list of values, is the mean or the median likely to be a better measure of the center of the data set? 26, 29, 27, 28, 29, 27, 27, 53, 25, 29
Answers
The mean of the data is 30 and the median of the data is 27.5.
What are the mean and median?Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data. The mean of the data will be calculated by adding all the numbers and dividing it by the quantity of the numbers.
The median of the data generally refers to the middle most value of the series. The median of the data is calculated by arranging the numbers in increasing order and getting the middle value of the numbers.
Given data is 26, 29, 27, 28, 29, 27, 27, 53, 25, 29 arrange all the numbers in increasing order.
25,26,27,27,27,28,29,29,29,53
Mean = Sum of all the numbers / Total numbers
Mean = (25 + 26 + 27 + 27 + 27 + 28 + 29 + 29 + 29 + 53 ) / 10
Mean = 300 / 10
Mean = 30
Median = ( 27 + 28 ) / 2 = 27.5
Therefore, the mean of the data is 30 and the median of the data is 27.5.
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