Answer:
Box 1 has the greater volume, by 200 in³
Step-by-step explanation:
The largest of two volumes can be found by computing each volume and comparing the results.
Box 1The volume is computed from dimensions by ...
V = LWH
V = (18 in)(8 in)(15 in) = 2160 in³
__
Box 2The volume is computed from area and height by ...
V = Bh . . . . . where B is the base area, and h is the height
V = (196 in²)(10 in) = 1960 in³
__
ComparisonThe units of the two volumes are the same, so we can decide which is larger by comparing the numbers. Box 1 has a volume that is more than 2000 in³, and Box 2 has a volume that is less than 2000 in³.
Box 1 has a greater volume
The amount by which the volume is greater can be found by subtracting the smaller volume from the larger:
2160 in³ -1960 in³ = 200 in³
Box 1 is larger by 200 in³
_____
Additional comment
The percentage by which Box 1 is larger than Box 2 can be found by multiplying 100% by the ratio of the difference to the Box 1 volume:
200/1960 × 100% ≈ 10.2%
Box 1 is about 10% larger than Box 2.
[tex]\bold{\huge{\underline{ Solution }}}[/tex]
Given :- We have given two boxes The dimensions of the first box is 18 inches ,8 inches and 15 inches The height of the second box is 10 inches whereas it's base area is 196 inches²To Find :- We have to compare the volume of both the boxes and then we have to tell which box has a greater volume and by how much ?Procedure to Solve :-Firstly, we will find the volume of both the boxes then we will compare the volume of both the boxes. Then, we will subtract the lesser volume with greater volume and hence, we got the answer.
Let's Begin :-According to the question :-
We have two boxes that is first box and second box. We have the dimensions of both the boxes that is ( 18 × 8 × 15 ) and ( 10 × 196 ) .From the dimensions, we can conclude that :-The given boxes are in the shape of cuboid.We know that,
Volume of cuboid
[tex]\bold{\pink{ = Length }}{\bold{\pink{\times{Breath}}}}{\bold{\pink{\times{Height }}}}[/tex]
Subsitute the required values,
For the first Box
Volume of first box
[tex]\sf{ = 18 }{\sf{\times{ 8 }}}{\sf{\times{15}}}[/tex]
[tex]\sf{ = 18 }{\sf{\times{ 120 }}}[/tex]
[tex]\bold{ = 2160 \:in.^{3}}[/tex]
Volume of Second box
[tex]\sf{ = 196 }{\sf{\times{ 10 }}}[/tex]
Base area of second box already included length and breath into it[tex]\bold{ = 1960\: in.^{3}}[/tex]
From Above
We can conclude that the first box has greater volume than the volume of second box NowWe have to find , By how much the volume of first box is greater than the volume of second box
Therefore,
Volume of First Box - Volume of second box
[tex]\sf{ = 2160 - 1960}[/tex]
[tex]\bold{ = 200\: in.^{3}}[/tex]
Hence, The volume of first box is greater than second box by 200 in.³
determine all combinations of lengths that could be used to make a traingle 1,3,6,8
Answer:
3, 6, and 8 for a triangle
Step-by-step explanation:
So, let's start with what we know
The sum of the 2 lesser lengths of a triangle must be greater than the greatest length of a triangle. Otherwise, it cannot be a triangle
a + b > c
Note: variables a and b are the lesser lengths of a triangle, and c is the greatest length.
We are to list out the possible combinations of triangles here with lengths 1, 3, 6, and 8.
So, with the formula above, we will get the combination of
3,6,8
Any other combinations of triangle lengths will not work
If you have any questions, please let me know in the comments section of this answer! If you could mark this answer as the brainliest, I would greatly appreciate it! :D
can somebody give me the answer to this im trying to get my grades up..
Hey!
Let's see... if they walk 10 feet in 6 seconds, then they walk about half a foot a second (0.6 to be exact.)
Multiply 0.6 by 45 and your answer should be.. 27. So, they walk 27 feet in 45 seconds.
Next, we keep multiplying 0.6 by a number over 45, but under 100, and the total amount of time it takes for a penguin to was 45 feet is... 75!
We know this because 75x0.6 is 45. and 75 is the number of seconds it takes to walk 45 feet for the penguin.
Your answer for #1 is 27
Your answer for #2 is 75
Say, mind doing me a favor and hitting the brainliest button? it would help tons!
~~~PicklePoppers~~~
Factor this expression. Select the correct answer from each drop-down menu.
3x^2-11x-20
Drop Down menu is same for both:
2 , 4 , 5 , 10
will award a lot of points
Answer:
2 and 5
Step-by-step explanation:
Use the sum-product pattern
3x^{2}{\color{#c92786}{-11x}}-20
3x^{2}+{\color{#c92786}{4x}}{\color{#c92786}{-15x}}-20
2
Common factor from the two pairs
3x^{2}+4x-15x-20
x(3x+4)-5(3x+4)
3
Rewrite in factored form
x(3x+4)-5(3x+4)
(x-5)(3x+4)
Solution
what fraction of the books read thisyear were read by Jim?
pls explain
Answer:
16/70 = 8/35
Step-by-step explanation:
Jim read 16 books.
Everyone, all together read
16+4+10+8+14+6+12
=70 books.
Jimsbooks/Totalbks
16/70
= 8/35
Jim read 8/35 of the total books read.
If you have $16
$
16
and you spend $5
$
5
on a sandwich, drink, and chips, what fraction of your money did you spend?
Answer:
5/16
because you spent 5 of the 16th
Answer:
5/16
Step-by-step explanation:
true true because the total was 6 and she spent only 5.:>
Persephone is creating a flower garden in her back yard. Is she needs 30 pounds of soil per square foot of the flower garden, how much soil will Persephone need to create her garden?
Answer:
don't know the dimensions of the garden, but it's just the area*30
A set of speakers for a classroom cost 365.23. The school needs to place them in 42 classrooms. How much will it cost to place speakers in all of the classrooms?
Answer:
$15339.66
Step-by-step explanation:
Let's start with what we know,
1 classroom = 1 set of speakers
1 set of speakers = $365.23
The school has 42 classrooms
Find how much it will cost to place the speakers in all of the classrooms
To find the amount it will cost, you will need to substitute values
1 school = 42 classrooms
= 42 sets of speakers
= 42 (365.23)
= 15339.66
It will take $15339.66 to place the speakers in all of the classrooms at the school.
Your welcome, and feel free to ask any questions you may have in the comments section! :D
Cones A and B are similar.
The volume of cone A is 1080cm3.
The volume of cone B is 1715cm3.
Calculate the height,
h
, of cone A.
Well it's not possible to find height with knowing cone B's height or radius .Steps provided below if you have pic you can solve by yourself.
Radius is similar in both cones.(Ignore it)Height may be different but they must be similar.The ratio of height to volume remains same .Now put the values and solve for height of hPlease help with these questions thank you all so much
Evaluate the indicated function for f(x)=x2- 6 and g(x)=x+ 4.
(fg (1)
Answer:
I think that is going to be x-3
Use the following data set to complete the problems.
23, 26, 50, 39, 55, 64, 50, 20, 42, 35, 51, 42, 43, 56, 64, 48, 48, 57, 27, 37
1. List the data values in order from lowest to highest.
A-
2. Find n, the number of data values.
A-
3. Find the width for a frequency distribution with 5 classes of equal width.
A-
4. Create a frequency distribution table.
A-
5. Show that the frequencies in the table add up to the sample size.
A-
6. Create a histogram.
A-
*The images is the way you do the work*
Answer:
The interval 44-47 has a frequency of 3 .
The interval 48-51 has a frequency of 4.
The interval 56-59 has a frequency of 1.
The given data set is:
42, 43, 46, 47, 47, 48, 49, 50, 51, 53, 55, 55, 59
The number lying in the interval 44-47 are :46, 47, 47
So the interval 44-47 has a frequency of 3.
The number lying in the interval 48-51 are :48, 49, 50, 51
So, the interval 48-51 has a frequency of 4.
The number lying in the interval 56-59 is: 59
So, the interval 56-59 has a frequency of 1.
Step-by-step explanation:
Ivan has a piece of material that is 4 feet long. He cuts it into 7 equal pieces. Which equation shows how to find the length, in feet, of each piece of material?
You have not provided the options, but this solution is an equation that will work:
Answer:
4 / 7 = x
Step-by-step explanation:
Since the total material is 4 feet long, we can divide 4 feet by 7, the number of equal pieces cut, to see how long each piece is.
This gives us an answer of 4/7 or about 0.571
Help me please if you can
Answer:
Step-by-step explanation:
Red blood cells : Platelets = 680 : 40 = (680÷10) : (40÷10)
= 68 : 4 = (68÷4) : (4÷4)
= 17 : 1
It takes Andre 4 minutes to swim 5 laps. How many laps per minute is that?
pls what is this
It takes Andre 1.25 minutes to swim a lap.
Step-by-step explanation:
somebody help me :(
12x+6y=120
4x+y=30
Answer:
x=5, y=10. (5, 10).
Step-by-step explanation:
12x+6y=120
4x+y=30
-------------
2x+y=20
4x+y=30
----------------
y=20-2x
4x+(20-2x)=30
4x+20-2x-30
2x-30-20
2x=10
x=10/2
x=5
4(5)+y=30
20+y=30
y=30-20
y=10
Answer:
12x+6y=120
4x+y=30
using elimination method.
12x+6y=120 -----(1) ×4
4x+y=30----------(2) ×12
48x+24y =480
-48x+12y =360
12y =120
y= 10
To get x sub. y for 10 into equation (2)
4x+y=30
4x+10=30
4x=30-10
4x=20
x=5
x=5 , y=10
PLS HELP ME, PLS THIS IS DUE FIRST CORRECT ANSWER GETS BRAINLIEST
Answer:c
Step-by-step explanation: commutative property is just moving things around, so that should work.
please solve im gonna fail
Answer:
144
Step-by-step explanation:
area of square is 132 + area of 2 triangles = 12 then add
Mathematics EVALUATE 483 075-21 554?
Answer:
461 521
Step-by-step explanation:
use calculator ♂️
3/4 x (z exponent 3 x 4)
Find the equivalent expression.
Aaron runs a distance of 7.2km in the SE direction. How far east has Aaron run? Answer correct to one decimal point
Step-by-step explanation:
cos 45° = distance to east / total distance=7,2
distance to east = cos 45° * 7,2 = 5,1 km
The coordinates of the point V are (3,-10) and the coordinates of point W are (3,-3). What is the distance, in units, between the point V and point W?
Answer:
I
Step-by-step explanation:
werwewr
i could use some help
am i correct please don't lie
Miku solves the equation below by first squaring both sides of the equation.
\sqrt{z^2+2z-3}=z-3
z
2
+2z−3
=z−3square root of, z, squared, plus, 2, z, minus, 3, end square root, equals, z, minus, 3
What extraneous solution does Miku obtain?
z=z=
Extraneous solutions are untrue solution of an equation
Mike does not obtain any extraneous solutions
How to determine the extraneous solutions
The equation is given as:
[tex]\sqrt{z^2+2z-3}=z-3[/tex]
When squared, it becomes
[tex]z^2+2z-3=z^2-6z + 9[/tex]
Evaluate the like terms
[tex]2z-3=-6z + 9[/tex]
Collect like terns
[tex]6z + 2z = 9 + 3[/tex]
Evaluate the like terms
[tex]8z = 12[/tex]
Divide through by 8
[tex]z = 1.5[/tex]
Substitute 1.5 for z in the given equation
[tex]\sqrt{z^2+2z-3}=z-3[/tex]
[tex]\sqrt{1.5^2+2*1.5-3}=1.5-3[/tex]
Evaluate
[tex]\sqrt{2.25}=-1.5[/tex]
Determine the square root of 2.25
[tex]-1.5=-1.5[/tex]
Hence, Mike does not obtain any extraneous solutions
Read more about extraneous solutions at:
https://brainly.com/question/2959656
Answer this question pllllllllllllllllllllzzzzzzzzzzzz
Answer:
5x-3
Step-by-step explanation:
unknow is x then do the thing get the answer
Choose the correct algebraic expression for the verbal phrase below.
The product of 10 and f minus 4
4f-10
10(4)
10f-4
So According to me the answer is
10(f-4)
Because it says the product and product means multiply and brackets also means multiply so the product if 10 AND f-4
please
help due soon.
The choices are plan a,b,c, and non of them
Answer:
it's a then c then a then b
Step-by-step explanation:
doneeee
Seven times a number, x
Step-by-step explanation:
How to complete this problem?
Write out from word format to number format.
We have the word expression:
Seven times a number x.
Seven and x are the two terms included in our expression, and we'll be multiplying both of the terms.
Times is short for multiplying.
When including key words:
'Seven' 'times' 'x'.
[tex]7 \times x[/tex]
Also represented as:
[tex]7x[/tex]
Solve the following inequality then place the correct answer in the box provided 8x-1<15
Answer:
x < 2
Step-by-step explanation:
8x -1 < 15
Add both side by 1 : 8x < 16
x < 16/8 => x < 2
Henry's family drove 425 miles. How many more
miles do they need to drive to reach 1,000 miles?
Answer:
I'm pretty sure the answer is 575 :D
Step-by-step explanation:
1,000 minus 425 is 575. have a good day!
a line passes through the origin (3,5) and (-12, b) what is the value of B?
Answer:
b = -20
Step-by-step explanation:
Let's start by finding the slope of the line.
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
Origin: (0, 0)
We can use (0, 0) and (3, 5) to find the slope:
[tex]Slope=\frac{5-0}{3-0}=\frac{5}{3}[/tex]
Then, we can plug this into the equation for slope to find the value of b (the slope has to be the same, since they're on the same line)
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\frac{5}{3}=\frac{b-5}{-12-3}\\\frac{5}{3}=\frac{b-5}{-15}\\\text{Multiply both sides by -15}\\\frac{5}{3}(-15)=b-5\\\frac{-75}{3}=b-5\\-25=b-5\\\text{Add 5 to both sides}\\b=-20[/tex]
