Answers
Answer:
Part A = 91.125in²
Part B = 8 boxes
Step-by-step explanation:
Work is underlined
Normal text = explanation
Hey There!
What we want to do to find how many supply boxes can fit inside of the larger box is find the volume of the larger box and divide that by the volume of the supply boxes.
To find the volume of the supply boxes:
We are told that the supply box is in the shape of a cube.
That being said we can find the volume by using this simple formula
[tex]V=s^3[/tex]
where s = side length
The supply box has a side length of 4.5 so we just plug in 4.5 into the formula
[tex]V=4.5^3\\4.5*4.5*4.5=91.125[/tex]
So we can conclude that the volume of the supply box is 91.125 square inches.
Now to find the volume of the larger box.
The larger box is in the shape of a rectangular prism.
The volume of a rectangular prism can be found by multiply the width by the length by the height.
The box has the following dimensions:
width = 18 in
height = 4.5 in
length = 9 in
This means that the volume = 9 * 4.5 * 18
9 * 4.5 = 40.5
40.5 * 18 = 729.
so the volume of the larger box is 729 square inches.
Now we want to find how many little boxes can fit inside the larger box.
Like stated before this can be done by dividing the volume of the little boxes by the volume of the larger box
so # of supply boxes that can fit inside of the larger box = [tex]\frac{729}{91.125}[/tex]
Using a calculator: [tex]\frac{729}{91.125} =8[/tex]
Hence, 8 smaller boxes can fit inside of the larger box
Related Questions
is 15m 36m 39m right triangle
Answers
Answer is below. Look at my explanation to understand my answer.
To see if these lengths can make a triangle, we can use the "triangle side theorem."
The formula is:
a + b > c
a + c > b
b + c > a
So, with that being said...
15 → A
36 → B
39 → C
So, we can use the triangle side theorem by adding A & B, A & C, and B & C.
If the side length is greater than C, B, or A, it can make a triangle. But if it isn't greater than C, B, or A, it cannot make a triangle.
So, let's add 15 and 36 to see if it can make a triangle.
15 + 36 = 51
If you read above, C is 39.
So, 51 > 39
15 + 36 > 39 ✓
Let's repeat this process again.
Instead of C, B is what we're now seeing if the sum is greater than it.
15 + 39 = 54
54 is greater than 36...
54 > 36
So it is true.
15 + 39 > 36 ✓
Now, A is what we're seeing if the sum is greater than it.
36 + 39 = 75
75 is greater than 15...
75 > 15
So it is true.
36 + 39 > 15 ✓
So yes, these lengths can make a triangle.
Let me know of any questions or concerns.
Find the inverse of the following function.
f(x) = + 12
OA (1) = x
= 1 – 12
OB. (v) = 12 - Foto
oc. 5- (6) = x3 – 12
OD. 1-() =
= 1 + 12
Answers
Answer:
c
Step-by-step explanation:
exchange y and x
then find y
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
-4 x 3/2
Step-by-step explanation:
It will end up being -6 which is less than -4.
Tell me if it is wrong.
Have a nice day!
Answer:
We can use the numbers -4 and [tex]\frac{3}{2}[/tex] to get a product less than -4.
-4 x [tex]\frac{3}{2}[/tex] = -6
So, the answer is less than -4.
Please give Brainliest!
Have a great day!
Erica babysits for 4 1/2 hours and is paid $27 . If the people she babysits for have $31.50 to pay her, how long can they stay out?
Answers
Answer:
5.25 hours or 5 1/4 hours
Step-by-step explanation:
According to the scenario, calculation of given data are as follows,
Total time = 4 1/2 hours or 270 mins
Total payment = $27
First we calculate the time for $1, then
So, $27 = 270 mins
$1 = 270 ÷ 27 = 10 mins
Now, we can calculate total time in $31.50 by using following formula,
Total time in $31.50 = 10 mins × 31.50
= 315 mins
= 5.25 hours or 5 1/4 hours
A box contains 2 red marbles, 3 white marbles, 4 green marbles, and 1 blue marble find the probability of selecting a white marble in the first draw and a red marble in the second draw
Answers
Answer:
Answers
Selecting a green marble on the second
draw if the first marble is blue.
Answer:
Selecting a white marble on the first
draw and red marble on the second
draw.
Answer:
Selecting a red marbles on both draws.
Answer:
Selecting a red or white on the first
draw and green or blue on the second
draw.
Answer:
Selecting a white marble on the first
draw and a white or blue on the second
draw.
Step-by-step explanation:
Jane used a Venn diagram to sort shapes. Select a plane shape that belongs inside the overlap region of the diagram.
Answers
Answer:
c
Step-by-step explanation:
At a car wash fundraiser, $168 was raised for washing 24 cars. The next day, $280 was raised for washing 40 cars. Are the rates equivalent? Explain your reasoning.
Answers
Step-by-step explanation:
168/24 = 7 dollars per car
280/40 = 7 dollars per car
the rates are equivalent.
answer for brainlest and 15 points
Answers
Answer:
It is not rational
Step-by-step explanation:
please...i need help on number 17
Answers
Answer:
17) m = 35; n = 110
18) b = 90; c = 80; d = 100
Step-by-step explanation:
17)
2m = 70
m = 35
n + 70 + 70 + n = 360
2n + 140 = 360
2n = 220
n = 110
18)
b - 10 + b + 10 = 180
2b = 180
b = 90
b - 10 = c
90 - 10 = c
c = 80
b + 10 = d
90 + 10 = d
d = 100
*ANSWER THESE PROBLE
Show your work to earn credit for your solution.
1. When Carlos bought a new office phone, he borrowed $1,000 at a rate of 7% for 8 months.
How much interest did he pay?
Show your work here:
1 = Prt
Please help
Answers
Step-by-step explanation:
The interest will be $560
Jennifer buys a desk on sale for $478.60. If the regular price was $684.00, what is the percentage of discount?
Answers
Answer:
30%
Step-by-step explanation:
Find the percent discount by dividing the change in the price by the original price:
(684 - 478.6) / 684
205.4 / 684
= 0.3
So, the percent discount was approximately 30%
Which expression is equivalent to 7x + 4x2 – 5x?
Answers
Answer:
2x+8
Step-by-step explanation:
Answer:
[tex]4x^{2} +2x[/tex]
Step-by-step explanation:
I'm not sure what you want, because it says "which expression", but you didn't provide any answer choices.
So all you have to do for this is combine like terms, and the only ones were 7x and -5x, which equals 2x.
help needed asap will give brainliest
Answers
Answer:
the corect answer for this question is (-x,y)
what is a non example substitution method?
Answers
Answer:
The substitution method consists of solving for in one of the equations, basically the one that is easiest, and substituting the resulting expression in the other. With this, the second equation is converted into a linear equation with one unknown, which is solved by simply solving for.
Step-by-step explanation:
l hope and this can help you
The table shows the blood pressures of 16 clinic patients. What is the interquartile range of the data?
A) 7.75
B) 8.50
C) 9.25
D) 10.75
Answers
I ran out of space so the step 5 the last step is subtract q1 and q3 which step 3 and 4
So 90.9-81.8=9.1
The interquartile range of the data will be 9.1.
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
The table shows the blood pressures of 16 clinic patients.
Now,
Since, The data set is,
⇒ 81.6, 84.1, 87.6, 82.8, 82.0, 88.9, 86.7, 96.4, 84.6, 104.9, 90.8, 94.0, 69.4, 78.9, 75.2, 91.0
Arrange in ascending order as;
⇒ 69.4, 75.2, 78.9, 81.6, 82.0, 82.8, 84.1, 84.6, 86.7, 87.6, 88.9, 90.8, 91.0, 94.0, 96.4, 104.9
Clearly, There are 16 clinic patients.
Hence, The lower quartile (Q₁) = 81.6 + 82 / 2
= 81.8
And, The Upper quartile (Q₃) = 90.8 + 91 / 2
= 90.9
Thus, The interquartile range of the data = Q₃ - Q₁
= 90.9 - 81.8
= 9.1
Therefore, The interquartile range of the data = 9.1
Learn more about the subtraction visit:
https://brainly.com/question/17301989
#SPJ2
Do you like math? If you do solve this simple equations
[tex]2 + 2 + 4 + 4 + 8 + 8 + 16 + 16[/tex]
Answers
Answer:
60 ?
Step-by-step explanation:
A number multiplied by 7 is less than 21. Which of the following expressions correctly identifies this sentence?
Answers
Answer:
Step-by-step explanation:
Watch help video
Which of the following equations represents a line that passes through the points
(2,0) and (1, -4)?
I. 4.x - y = 9
II. y +4 = 4(x + 0)
Neither
I only
II only
I and II
Answers
Answer:
I think neither
Step-by-step explanation:
SOMEONE PLEASE HELP ME WITH THIS QUESTION ASAP AND SHOW WORK
Answers
Answer:
m∠XCY = 60°
Step-by-step explanation:
From the figure attached,
Circle has been given with the inscribed angles ∠XWY and ∠XCY formed by the same arc XY.
By the property of the inscribed angles,
"Measure of the inscribed angle formed by the same arc are equal"
m∠XWY ≅ m∠XCY
60x = 61x - 1
61x - 60x = 1
x = 1
Therefore, m∠XCY = 61x - 1
= 61(1) - 1
= 60°
The current temperature is 48F. It is expected to drop 1.5F each hour. Determine how many hours the temperature will be 36 F.
Answers
Answer: 6 hours
Step-by-step explanation:
48/6 = 8
36/6 = 6
What is the answer? 5x+3x+2y+4y=
Answers
Answer:
8x+6y
Step-by-step explanation:
add the coefficients of like terms with the same variable
6.8 x + 9.3 6.8 x + 9.3 equals -9.4 + 3.4 (2 minus 5x)
Answers
Answer:
x=-0.5
Step-by-step explanation:
6.8x + 9.3= -9.4 + 3.4 (2-5x)
6.8x + 9.3 = -9.4 + 6.8 - 17x
6.8x + 9.3 = -2.6 - 17x
22.8x = -11.9
x = -0.5
Which value of x makes the inequality true
Answers
Answer:
the answer is D
you would end up with 14% and 14 is in between 12 ns 18
Step-by-step explanation:
1. Use the given key to answer the questions.
0.1
tenth
0.01
hundredth
0.001
thousandth
0.0001
ten-thousandth
a.
What number does this diagram represent?
b. Draw a diagram that represents 0.216.
c. Draw a diagram that represents 0.304.
Answers
Answer:
please where is the diagram
Choose the measure that best represents the data. Explain your reasoning.
12, 15, 16, 18, 20, 90
Answers
Hope this helps!
Which ordered pair is a solution to the equation y= 4x - 8?
(2, 1)
(3, 5)
(4, 8)
(5, 10)
(Please help me ASAP I will give u 30 points and brainliest.
Answers
Answer:
(4,8)
Step-by-step explanation:
1=8-8 no
5=12-8 no
8=16-8 YES
10=20-8 no
Answer:
I have that same problem!
Step-by-step explanation:
Which of the following is equivalent to 16 ^3/4
Answers
Answer:
83/5
Step-by-step explanation:
83/5 would be equivalent to 16 3/4.
Answer:
8, or B on Edge.
Just took the quiz. Have a great day
Draw a line to match each fraction, decimal, or percent in Column A to the equivalent value in Column B.
A B
40/50 1 3/4
13% 1 11/20
1.75 0.13
155% 80%
Answers
Answer:
This is the answer
Step-by-step explanation:
40/50 - 80%
13% - 0.13
1.75 - 1 3/4
155% - 1 11/20
Hope this helps
Select the correct answer. What are the solutions of this quadratic equation?
6x^2 + 6 = 12x + 18
[tex]x = 1 + \sqrt{3} [/tex]
[tex]x = 2 + 2 \sqrt[]{3} [/tex]
[tex]x = 2 + \sqrt{6} [/tex]
[tex]x = - 1 \: and \: x = 3[/tex]
Answers
Answer:
x=1+√3
Step-by-step explanation:
Let's solve your equation step-by-step.
6x^2+6=12x+18
Step 1: Subtract 12x+18 from both sides.
6x^2+6−(12x+18)=12x+18−(12x+18)
6x^2−12x−12=0
For this equation: a=6, b=-12, c=-12
6x^2+−12x+−12=0
Step 2: Use quadratic formula with a=6, b=-12, c=-12.
x=−b±√b2−4ac/2a
x=−(−12)±√(−12)2−4(6)(−12)/2(6)
x=12±√432/12
x=1+√3
Find the minimum value of the function f(x) = 0.8x2 + 11.2x + 42 to the
nearest hundredth.
Answers
Answer:
The minimum value is 2.8. The vertex is (-7, 2.8).
Step-by-step explanation:
Through the x^2 term we identify this as a quadratic function whose graph opens up. The minimum value of this function occurs at the vertex (h, k). The x-coordinate of the vertex is
-b 11.2
x = --------- which here is x = - ------------ = -7
2a 2(0.8)
We need to calculate the y value of this function at x = -7. This y-value will be the desired minimum value of the function.
Substituting -7 for x in the function f(x) = 0.8x^2 + 11.2x + 42 yields
f(-7) = 0.8(-7)^2 + 11.2(-7) + 42 = 2.8
The minimum value is 2.8. The vertex is (-7, 2.8).
