Answers
Answer:
Part A: 84 boxes
Part B: Explained below
Part C: 2 layers of boxes high
6 boxes width per layer
7 boxes length per layer
Step-by-step explanation:
Part A:
In terms of height, we can see that there are 3 boxes
In terms of width, we can see that there are 4 boxes.
In terms of length, we can see that there are 7 boxes.
Thus, number of boxes = 3 × 4 × 7 = 84 boxes
Part B:
What I've just done in part A is same as V = l × w × h
Thus is because if we take one strip vertically, we will see just height and length.. But since they are stacked and of same size, we will just multiply by the number of rows that make up the width to get the total number of boxes that form the prsim.
Part C:
Since he wants it to be 2 layers high, we can only put 1 box on another one.
Now, he wants the width to be less than 14 inches,which means that there should be less than 14/2 = 7 boxes. So let's adopt 6 boxes along the width.
He wants the length to be less than 30 inches. This means that the length should be less than 30/2 = 15 boxes
Since we know that the height has 2 layers, it means number of boxes along the width and length = 84/2 = 42 boxes
Let's find multiples of 42 and they are;
1, 2, 6, 7, 21, 42.
Looking at these multiples, the most appropriate to use will be 6 and 7.
Thus,he can use 6 boxes as width per layer and 7 boxes as length per layer
Thus, he will stack the boxes as follows;
2 layers of boxes high
6 boxes width per layer
7 boxes length per layer
Related Questions
Alguien me ayuda con este ejercicio: 10.- Investiga cuánto tiempo dura el embarazo en otras especies de mamíferos. Elige tres especies de mamíferos y compara la duración de sus embarazos con la duración en el ser humano.
Answers
Answer:
22
Step-by-step explanation:
So what would be the answer?
Answers
Answer:
i
Step-by-step explanation:
Answer:
did you forget a picture?
Step-by-step explanation:
if you did, either add it in the comments, or make a new question
David measures a rectangular piece of wood. The length is 8 feet and the width is 2 feet. What is the area, in square feet, of the piece of wood? A = lw
Answers
8 x 2 = 16
So The area would be 16 square feet.
What is the image of F for a dilation with center (0, 0) and a scale factor of 10? (−30, −30) (30, 30) (30, −30) (−30, 30)
Answers
Answer: (-30,30)
Step-by-step explanation:
f = -3,3, -3 times 10 = -30 and 3 times 10 = 30 etc
IM ALMOST DONE WITH MY DIAGNOSTIC YAY!!!!
Answers
Answer:
27 cubic units
hope this helps
have a good day :)
Step-by-step explanation:
16x2 + 4y2 -32x + 16y -32= 0
Answers
4 16
)
2
16
=
1
The degree of the polynomial 10x^3 + 2x^m y - 4y is 3. What is the value of m?
A.) 1
B.) 2
C.) 3
D.) 4
Answers
Answer:
1
Step-by-step explanation:
x is 1 and y is 1 and the total is three so 1
I need the answer fast pls
Answers
Answer:
I think D
Hope this helps!!
Can someone please help me I will mark u brilliant
Answers
Answer:
c is correct
Step-by-step explanation:
3.6 with a bar above means 3.6666666666.. continuing forever which is smaller then 3.7
Answer:
C. 7.6 < 7.67
I have no idea pls help
Answers
Answer:
Area= 90
Step-by-step explanation:
triangle area: (b x h) / 2
(12 x 15) / 2
(180) / 2
a= 90
What'a the lowest whole number please
Answers
Answer:
0 is the lowest whole number
Answer:
0
Step-by-step explanation:
open side of: > means greater than. 0 is opposite side meaning it is lowest.
The volume of a rectangular box with a square base remains constant at 500 cm3 as the area of the base increases at a rate of 6 cm2/sec. Find the rate at which the height of the box is decreasing when each side of the base is 15 cm long.
Answers
Answer:
the rate at which the height of the box is decreasing is -0.0593 cm/s
Step-by-step explanation:
Given the data in the question;
Constant Volume of a rectangular box with a square base = 500 cm³
area of the base increases at a rate of 6 cm²/sec
so change in the area of the base with respect to time dA/dt = 6 cm²/sec
each side of the base is 15 cm long
so Area of the base = 15 cm × 15 cm = 225 cm²
the rate at which the height of the box is decreasing = ?
Now,
V = Ah
dv/dt = 0 ⇒ Adh/dt + hdA/DT = 0
⇒ dh/dt = -hdA/dt / A
we substitute
dh/dt = [ -( 500 / 225 ) × 6 ] / 225
dh/dt = [ -(2.22222 × 6) ] / 225
dh/dt = [ -13.3333 ] / 225
dh/dt = -0.0593 cm/s
Therefore, the rate at which the height of the box is decreasing is -0.0593 cm/s
What are 64 real square roots
Answers
Answer:
8
Step-by-step:
Find the calculator, look for the square root symbol and put 64 in there.
I really need help on this if someone knows the answer pls help
Answers
Answer:
14.75
Step-by-step explanation:
x = 1*1*0.5 = 0.5
y = 1.5*1.5 = 2.25
g = ((2.5+1.5)\2) * 2 = 4
t = 4*2 = 8
total = 0.5 +2.25 +4 +8 - 14.75
A man's monthly salary was decreased in the ratio of 7:2, he was paid N625. How much was his original salary.
Answers
Answer:
15
Step-by-step explanation:
The graph shows the system of equations below.
2x-3y=-6
y= -1/3x=4
Which statement is supported by the graph?
The blue line represents the equation 2x-3y=-6 , and the solution to the system of equations is (–6, –2).
The blue line represents the equation 2x-3y=-6 , and the solution to the system of equations is ( –2, –6).
The red line represents the equation 2x-3y=-6 , and the solution to the system of equations is (2, –4).
The red line represents the equation 2x-3y=-6 , and the solution to the system of equations is (–4, 2).
Answers
We want to describe the system of equations by analyzing the graph. We will see that the correct option is:
"The blue line represents the equation 2x -3 y = -6, and the solution to the system of equations is (–6, –2)."
We know that the equations are:
y = (-1/3)*x - 4
2x - 3y = -6
Notice that the y-intercept of the first equation is -4, and the line that intercepts the y-axis at -4 is the red line. So the red line represents the equation y = (-1/3)*x - 4, while the blue line represents the other equation.
Also, remember that the solution of a system of equations is given by the point where the graphs of the equations intercept, here, we can see that the lines intercept at (-6, -2), so the solution of the system is (-6, -2)
Then the correct option is:
The blue line represents the equation 2x-3y=-6, and the solution to the system of equations is (–6, –2).
If you want to learn more, you can read:
https://brainly.com/question/9351049
Answer:
a:The blue line represents the equation 2x-3y=-6 , and the solution to the system of equations is (–6, –2).
Step-by-step explanation:
The largest 2-digit number is 99. How many 2-digit numbers must be in a set in order to apply the pigeonhole principle to conclude that there are two distinct subsets of the numbers whose elements sum to the same value
Answers
Answer:
The solution can be defined as follows:
Step-by-step explanation:
[tex]\to n = 10[/tex]
There are 210 = 1,024 sub-sets of 10 entries, however, the number of enters between the lower and upper limits total of 10 different submissions between 1 and 100 can be as low only as 901 (= 955 - 55 + 1). There has to be a minimum level of at least 1 subset with much more subgroups than possible, which equals at least two sets. Call for two main sub, S' and T' equivalent.
Let
[tex]C = S' \cap T'[/tex]
when
[tex]S = S' - C \\\\T = T' - C\\\\[/tex]
Then[tex]S \ and\ T[/tex] are disjoint
[tex]sum(S) = sum(S' - C)\\\\[/tex]
[tex]= sum(S') - sum(C)\\\\= sum(T') - sum(C)\\\\= sum(T' - C)\\\\= sum(T)\\[/tex]
Find the volume of this prism.
9 cm
12 cm
6 cm
Help pls
Answers
Answer:
324 cm^3
Step-by-step explanation:
Volume = l x w x h / 2
V = 12 x 6 x 9 / 2
V = 648 / 2
V = 324 cm^3
Answer:
V = 324 cm³
Step-by-step explanation:
The volume (V) of the prism is calculated as
V = area of triangular end × length
A of triangle = [tex]\frac{1}{2}[/tex] × 6 × 9 = 3 × 9 = 27 cm² , then
V = 27 × 12 = 324 cm³
please answer the following question in the picture:
Answers
Answer:
86 degrees
Hope this helps!
180-135°=45°
the other angle is congruent to angle 49° so it is 49°
180-45-49=86°
<yxz=86°
Mrs. Cole gave a math quiz to her classes. Below is a box plot that represents the results of the quiz.
Answers
Answer:
Where is the box plot?
Step-by-step explanation:
You did not show the results of the quiz therefore I can not answer. Also there is no question content in the sentences so even if I did have a box plot I still would not be able to answer. Give us more information.
is the world hiding submarines in the ocean?
Answers
Answer:
possibly china, but not confirmed.
Step-by-step explanation:
The following scatter plot represents the number of views a video gets each day.
(b) Use a graphing calculator or other technology to write a regression equation to model the data.
(c) A video is considered viral if it receives more than three million views by the time it has been posted for 10 days. Use the model from Part (b) to determine if the video will receive enough views to be considered a viral video. Show your work.
Answers
Answer:
y = 1.0535(4.9512)^x
It can be considered a viral video
Step-by-step explanation:
Using the exponential regression calculator, the regression model obtained is :
y = 1.0535(4.9512)^x
Using the model, we can determine if a video can be considered viral ;
Number of days, x = 10
y = 1.0535(4.9512)^10
y = 1.0535(8853290.1338)
y = 9,326,941.15
Hence, video will receive way over 3 million reviews, a review of about 9,326,941, hence, it can be considered a viral video.
QUOTIENT OF 84 AND 6
Answers
Answer:
Yo, 84/6 is 14
Step-by-step explanation:
The quotient is the answer you get from a division problem.
Answer:
84 ÷ 6 = 14, or 6 ÷ 84 = 0.07142857142857142857142857142857...
I assume that you meant 84 ÷ 6.
Hope that this helps!
A major hurricane is a hurricane with wind speeds of 111 miles per hour or greater. During the 20th century the mean number of the major hurricanes to strike U.S mainland per year was 0.6. Find the probability that the number of major hurricane to strike U.S mainland in any any give year is: a) Exactly one b) At most one c) More than one
Answers
Answer:
a) 0.3293 = 32.93% probability that the number of major hurricane to strike U.S mainland in any any give year is exactly one.
b) 0.878 = 87.8% probability that the number of major hurricane to strike U.S mainland in any any give year is at most one.
c) 0.122 = 12.2% probability that the number of major hurricane to strike U.S mainland in any any give year is more than one.
Step-by-step explanation:
We have the mean during an interval, which means that the Poisson distribution is used to solve this question.
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
During the 20th century the mean number of the major hurricanes to strike U.S mainland per year was 0.6.
This means that [tex]\mu = 0.6[/tex]
Find the probability that the number of major hurricane to strike U.S mainland in any any give year is:
a) Exactly one
This is P(X = 1). So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 1) = \frac{e^{-0.6}*0.6^{1}}{(1)!} = 0.3293[/tex]
0.3293 = 32.93% probability that the number of major hurricane to strike U.S mainland in any any give year is exactly one.
b) At most one
This is:
[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]
Then
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-0.6}*0.6^{0}}{(0)!} = 0.5488[/tex]
[tex]P(X = 1) = \frac{e^{-0.6}*0.6^{1}}{(1)!} = 0.3293[/tex]
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.5488 + 0.3292 = 0.878[/tex]
0.878 = 87.8% probability that the number of major hurricane to strike U.S mainland in any any give year is at most one.
c) More than one
This is:
[tex]P(X > 1) = 1 - P(X \leq 1) = 1 - 0.878 = 0.122[/tex]
0.122 = 12.2% probability that the number of major hurricane to strike U.S mainland in any any give year is more than one.
If ß is the small angle is a 3-4-5 right triangle, then sin ß = ?
Answers
Answer:
sin β = sin(36.87) ≈ -0.73733168456
Step-by-step explanation:
The small angle in a 3-4-5 triangle is 36.87 and when you put that into a calculator you are left with roughly -0.73733168456.
what is the scientific notation if 36000x10^-8?
Answers
Answer:
3.6 * 10^-4
Step-by-step explanation:
36000x10^-8
The number must be between 1 and 10
36000.
Move the decimal 4 places to the left, so add 4 to the exponent
3.6 * 10^(-8+4)
3.6 * 10^-4
Answer:
the scientific notation of
[tex] 36000×10^{-8}=36000/100000000=3.6×10^{4}/10^{-8}[/tex]
[tex]=3.6×10^{4-8}=3.6*10^{-4}[/tex]
What is the surface area of the sphere below?
5
O A. 125r units2
B. 100% units2
C. 125% 3 units2
D. Cannot be determined
Answers
The surface area is B
Explanation :radius of sphere :5 units
Surface areas of sphere :4
S=4(pie)(5)^2
S=4x(pie)x25
S=100(pie) units 2
Find the median and mean of the data set below:
14, 25, 41, 4, 23, 8, 32
Answers
the mean is 21
landon painted a shape that had 4 sides. The shape has 4 angles. What kind of shape did he paint?
Answers
Answer:
A quadrilateral.
Step-by-step explanation:
A quadrilateral has four sides and four angles. For example, a square is a quadrilateral because it has four sides and angles.
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