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
!!!!!!!!!!
A language arts teacher at North Middle School conducts a random survey of the student body and finds that 12% of the students would be
interested in a summer creative writing program if it were offered. If there are 700 students in the school, how many of them should the teacher
predict will participate in the program?
O A) 12 students
OB) S4 students
C) 140 students
D) 168 students
Answers
Answer:
B. 84 students
Step-by-step explanation:
12% of students
700 students in all
700 * 0.12 = 84
The parent function y = -2x^2+5 is translated down 12 units and left 8 units. What is the new equation in vertex form?
Answers
Answer:
y=-2(x+8)²-7
Step-by-step explanation:
Given: y=-2x²+5
After transformations: y=-2(x+8)²-7
Vertex would be (h,k) -> (-8,-7) instead of (0,5)
I need help ppl this is due tomorrow thank yooou
Answers
Answer:
8.62
Step-by-step explanation:
Use the Pythagorean theorem.
b= [tex]\sqrt{c^{2}-a^{2} }[/tex]
b=[tex]\sqrt{10.5^{2}-6^{2} }[/tex]
b= [tex]\sqrt{110.25-36[/tex]
b=[tex]\sqrt{74.25}[/tex]
b= 8.62
a^2+b^2 = c^2
You’re looking for b so the formula would be:
b^2 = c^2-a^2
10.5^2-6^2
110.25-36
74.25
The square root for 74.25 is 8.61684396...
But it tells you to the nearest tenth so the answer would be 8.6
What's the answer? 2³ x 4³ / 5⁰
Answers
Answer:
512
Step-by-step explanation:
Answer:
512
Step-by-step explanation:
1) [tex]2^{3} * \frac{4^{3} }{5^{0}}[/tex]
2) [tex]8 * \frac{4^{3} }{5^{0}}[/tex]
3) [tex]8 * \frac{64 }{1}[/tex]
4) [tex]\frac{512 }{1}[/tex]
5) [tex]512[/tex]
the volume of the square pyramid is ___ cubic feet.
Answers
28ft
dkdkdk
dkdkdkdkdkdkd
ddjdjddddddddddddddddddddddddddddddddddddddddd
Help me please. Please number 3 I need help
Answers
Answer:
Because they are both using (g units rates).
Step-by-step explanation:
answer question for 10 points and brainilest
Answers
Answer:
343
Step-by-step explanation:
[tex]\frac{(7^4)^2}{7^5}[/tex]
[tex]=\frac{7^4^*^2}{7^5}[/tex]
[tex]=\frac{7^8}{7^5}[/tex]
[tex]=7^8^-^5[/tex]
[tex]=7^3[/tex]
[tex]=7*7*7[/tex]
[tex]=343[/tex]
find the measure of each angle
Answers
Answer:
Step-by-step explanation:
m∠ 1 = 180 - 117
m∠ 1 = 63
m∠2 = the same as m∠ 1
m∠2 = 63
m∠3 is also the same b/c of the same length of the "legs" of the triangle
m∠3 = 63
When the cost per class is increased by $50, the revenue will be $0. True False
Answers
Step-by-step explanation:
false I think this only answer
Determine whether the graphs of the given equations are parallel, perpendicular, or neither.
Answers
9514 1404 393
Answer:
(c) Perpendicular
Step-by-step explanation:
The slope is the coefficient of x in this slope-intercept form.
The slope of the first line is +1.
The slope of the second line is -1.
The product of the slopes is (1)(-1) = -1. When the product of slopes is -1 for two lines, those lines are perpendicular.
how much is 5 interest of 500.00
Answers
Answer:
100.0
Step-by-step explanation:
because if you round divide that you get
A space probe flies by a planet in an hyperbolic orbit. It reaches the vertex of its orbit at (5,0) and then travels along a 2 path that gets closer and closer to the line y=-x. Write an equation that describes the path of the space probe if the 5 center of its hyperbolic orbit is at (0,0).
Answers
Answer:
[tex]\frac{2x^{2} }{{25} } + \frac{2y^{2}}{{25} } = 1[/tex]
Step-by-step explanation:
Since the required hyperbola has its vertex at (5,0), its transverse axis is on the x-axis and center at (0,0).
So, we use the equation in standard form
[tex]\frac{x^{2} }{a^{2} } + \frac{y^{2} }{b^{2} } = 1[/tex]
Also, since the path of the space probe gets closer to y = -x, this is the asymptote to the hyperbola.
Our standard asymptote equation is y = ±bx/a taking the negative sign and comparing with y = -x,
-bx/a = -x ⇒ b/a = 1 ⇒ a = b
Also, the coordinate of the vertex (c, 0) = (5, 0) and c² = a² + b²
substituting c = 5 and a = b into the equation, we have
c² = a² + b²
5² = a² + a²
25 = 2a²
a² = 25/2
a = √(25/2)
a = ±5/√2
rationalizing, we have
a = ±5/√2 × √2/√2
a = ±5√2/2
Since a = b, b = ±5√2/2
Inserting a and b into the equation for the hyperbola, we have
[tex]\frac{x^{2} }{a^{2} } + \frac{y^{2} }{b^{2} } = 1\\\frac{x^{2} }{(\frac{5\sqrt{2} }{2} )^{2} } + \frac{y^{2} }{\frac{5\sqrt{2} }{2} ^{2} } = 1\\\frac{x^{2} }{\frac{25 X 2 }{4} } + \frac{y^{2} }{\frac{25X2 }{4} } = 1\\\frac{x^{2} }{\frac{25}{2} } + \frac{y^{2} }{\frac{25}{2} } = 1\\\frac{2x^{2} }{{25} } + \frac{2y^{2}}{{25} } = 1[/tex]
So, the required equation is
[tex]\frac{2x^{2} }{{25} } + \frac{2y^{2}}{{25} } = 1[/tex]
PLEASEE HELPPP ME I needdd helppp
Answers
Answer:
5
Step-by-step explanation:
divide the figure as a triangle and a rectangle first.
take away the rectangle part and if you just look at the triangle part,
you can get x using Pythagorean theorem.
Pythagorean theorem is a^2 + b^2 = c^2,
so 3^2 + 4^2 = x^2.
If you calculate it, x should be root 25, which equals 5.
So, the answer is 5.
Tasneem has a sample of 12 bags of candy. She recorded the mass, in grams, of each bag. Her data is shown.
Answers
Answer:
the answer is D
Step-by-step explanation:
The Dot plot for Alia's Sample is plot D.
What is Dot plot?Based on the values of each point, a dot plot visually groups the number of data points in a data set. Similar to a histogram or probability distribution function, this provides a visual representation of the data distribution.
Tasneem has a sample of 12 bags of candy.
Now, the median for Tasneem sample space is
= (47.1 + 47.2)/ 2
= 47. 15
As, the median mass in A is 47.05, B is 47.1, in C is 47.1 and in D is 47.4.
Also, we know that the median mass for Alia's Sample is greater than Tasneem.
Thus, the correct plot is D.
Learn more about Dot plot here:
https://brainly.com/question/22746300
#SPJ3
The ratio of dogs is 5:3. If there are 12 cats, how many dogs are there? PLS HELP
Answers
Answer:
First of all, is it the ratio cats to dogs or dogs to cats?
Step-by-step explanation:
?????
60 = 3x
Divide by 3
x = 20
Write parametric equations of the line a. Please select the best answer from the choices provided A
Answers
Answer:
Parametric Equation of a Line
Step-by-step explanation:
A line, parallel to vector (a,b,c) passing through point P (x1,y1,z1) is represented by parametric equations
x = x1+ at
y = y1 + bt
z = z1 + ct
someone please please help me with this ! I would really appreciate it
Answers
Answer:
Both volumes are the same
Step-by-step explanation:
Volume of cylinder = [tex]\pi[/tex][tex]r^{2} h[/tex]
r = radius
h = height
Since area of the circle is given on top,
Area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex]
We know the area is 12
12 = [tex]\pi[/tex][tex]r^{2}[/tex] (we need to find r)
r = [tex]\sqrt{\frac{12}{\pi} }[/tex]
r = 1.954
Now we can find the cylinder's volume:
Volume of cylinder = [tex]\pi[/tex][tex](1.954)^{2}[/tex] (6)
Volume of cylinder = 72
To find the volume of the cuboid, we use
Volume of cuboid = lwh
l = length
w = width
h = height
Volume of cuboid = 6 x 4 x 3
Volume of cuboid = 72
This proves that both the volumes are the same.
Trinity had $525.38 in a savings account at the beginning of the summer she wants to have at least $200 in the account by the end of the summer she withdraws $25 each week for food, clothes and movie tickets writing in a quality that represents triniti's situation. How many weeks can Trinity withdraw money from her account solve the inequality
Answers
Answer:
Trinity can withdraw $25 from her bank account for 13 weeks.
Step-by-step explanation:
If she wants to have at least $200 by the end of summer you need to subtract that much from what she has now. Which would be $325.38. Now you have to divide that number into 25, which should give you the number of week that money would last. That number is 13.0152, you don't need all those extra numbers so just use 13. No to check you work multiply 25 and 13. You get 325.
What should be subtracted from (−5/4 ) to get - 1
Answers
Answer:
-5/4+1/4=-4/4=-1
Step-by-step explanation:
Achilles ordered a pizza with 16 slices. Every hour, he ate half of the remaining slices. Let f(n) be the number of slices Achilles ate in the hour since he got home.
Answers
Consider we need to find f(n).
Given:
Achilles ordered a pizza with 16 slices.
Every hour, he ate half of the remaining slices.
To find:
The function f(n) that is the number of slices Achilles ate in the hour since he got home.
Solution:
Initial number of slices = 16
Every hour, he ate half of the remaining slices. So, the number slices Achilles ate in the hour since he got home are:
8, 4, 2, 1, ...
It is a geometric sequence with first term 8 and common ratio [tex]\dfrac{1}{2}[/tex].
The explicit formula for a geometric sequence is:
[tex]f(n)=ar^{n-1}[/tex]
Where, a is the first term and r is the common ratio.
Substituting [tex]a=8,r=\dfrac{1}{2}[/tex], we get
[tex]f(n)=8\left(\dfrac{1}{2}\right)^{n-1}[/tex]
Therefore, the function f(n) that is the number of slices Achilles ate in the hour since he got home is [tex]f(n)=8\left(\dfrac{1}{2}\right)^{n-1}[/tex].
Can someone fill this out? I am very busy today and I need someone to fill this out.
Answers
Answer:
Uh i think its a uhhh carrot
Step-by-step explanation:
Please help me check if it's right! Please give the right answers!
Answers
Answer
15
Step-by-step explanation:
12-3²+6÷(10÷5)x2²
12-9+6÷2x4
12-9+3x4
12-9+12
3+12
15
This is the only one I saw wrong. you added wrong
- 4(y-2) = 12
What’s the value of x?
Explain
Answers
Answer:
There is no x, so I’ll find y
Step-by-step explanation:
-4(y-2)=12
Multiply -4 with y and -2
-4y+8=12
Then subtract 8 with its self and 12
-4y = 4
now divide both numbers with 4
y= -1
Step 2. Multiply -4 by -2.... you get 8
Step 3. Equation will be -4y+8=12
Step 4. Subtract 8 from 8 and 12
Step 5. Equation will be -4y=4
Step 6. Divide 4 by both sides
Step 7. Answer is y=-1
1. What shapes are formed?
2. How many triangles are formed?
3. Can two triangles fit in one cartolina which shape is a rectangle?
Answers
Answer:
1.) rectangle and triangle
2.)4 because 2 for each rectangle
3.)yes and a rectangle has 4 vertics and 4 sides and 2 equal lengths
Which other expression has the same value as (-4) - (-8) ?
A. (-4) + 8
B. -4 - (-8)
C. 4 + (-8)
D. (-4 ) + (-8)
Answers
Answer:
the answer is option (A) . (-4) + 8
Ginny has a cell phone plan that charges a flat fee of $20 per month plus $.10 per minute used talking on the phone. Which expression will calculate Ginny’s bill if she spends (t) minutes on the phone each month?
Answers
Answer:
20 + 0.10t
Step-by-step explanation:
The 20 is the flat rate, the .10 is the per minuet rate meaning the answer is 20 + 0.10t. plz 5 str and thx, and brailiest.
Pls help me with this equation
Answers
Answer:
$340
Step-by-step explanation:
Let $p be the price yesterday.
(1 - 15%)p = 289
85%p = 289
p = 340
∴ The price yesterday is $340.
True or false
A chance event with probability 1 is certain to happen
Answers
Answer:
True, since 1 is 1/1, which is 100%
Hope that helps! :)
Step-by-step explanation:
Which pair best represents a causation relationship?
M. a person’s age and his/her shoe size
P. the number of ice cream cones sold and the amount of sunscreen sold
R. the temperature at a football game and the number of hot drinks sold
S. the number of people attending a ballgame and the length of the ballgame
Answers
Answer:
b
Step-by-step explanation:
4 divided by 1/6 with explanation !