Start with a volume of a cuboid,
[tex]V=abc=3\cdot2\cdot3=18\mathrm{cm^3}[/tex]
The side of the cube we need equals to the LCM of the cubiod's sides,
[tex]\mathrm{LCM}(a,b,c)=\mathrm{LCM}(3,2,3)=6[/tex]
Now compute the volume of such cube,
[tex]V=\mathrm{LCM}(a,b,c)^3=6^3=216\mathrm{cm^3}[/tex]
Divide the volumes to get how many cubiods are in such cube,
[tex]\dfrac{V_{\mathrm{cube}}}{V_{\mathrm{cubiod}}}=\dfrac{216}{18}=\boxed{12}[/tex]
Hope this helps :)
Answer:
Hi,
Answer: 12
Step-by-step explanation:
lcm(3,2,3)=6
Volume of a cuboid=3*2*3=18 (cm³)
Volume of the cube=6³=216 (cm³)
Number of cuboids=216/18=12.
A random number generator is used to create a list of 300 single digit numbers
Define mean and median for a set of data
Answer:
The mean is the average number of a data set gotten by adding all the numbers then dividing by two.
the median is the middle number in a sorted set of data,either sorted in ascending order or descending order.
I hope this helps
To calculate mean:
• add up all the numbers,
• then divide by how many numbers there are.
Example:
Data: 5, 6, 10, 1
Add these all together, which is 22, then divide by 4 (because that is how many numbers there are), so:
the mean is 5.5
To calculate median:
Arrange your numbers in order.
Cross off numbers until you get to the middle.
If there is an even number of data, then find the two in the middle and find the middle of that.
Example:
Data: 5, 6, 10, 1
Arrange: 1, 5, 6, 10
So, the middle 2 are 5 and 6. In between these would be 5.5, so that is the median.
If the data was: 1, 5, 6, 8, 10,
then the median would be 6.
Help me please and thank you
Step-by-step explanation:
jlejej
are u using chrome os
simplify 27-{ 9+(12-5)÷4} with solution
Answer:
16.25
Step-by-step explanation:
first do 12 -5 = 7. then 7/4 = 1.75 then 9+1.75 = 10.75 and finally 27-10.75= 16.25
I need the answer explained
Answer:
1.33
Step-by-step explanation:
62 can only be subtracted from 82 once. So 82.46-62 would be 20.46. Since you can't subtract anymore you put a decimal point. 62x3=186 and 20.46-186=1.86 and you can subtract 186-186=0.
Please Answer This!!! I NEEEDDD TOOO KNOWWWWW ANSWER!!!
Answer:
77.5
Step-by-step explanation:
Its rising at a constant rate between +10-15 each hour, so we if we were to add 25 or so to the 50, it would be close to 77.5, so I would assume the answer was B
Segment addition and midpoints
N is the midpoint of MO and NO is 5, so MN would also be 5
MP = MN + NP = 5 + 9 = 14
PLS HELP
Find an equation of the line with a y-intercept of -3 and an x-intercept of -4.5
Answer:
y = - [tex]\frac{2}{3}[/tex] x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (- 4.5, 0 ) ← coordinates of intercepts
m = [tex]\frac{0-(-3)}{-4.5-0}[/tex] = [tex]\frac{0+3}{-4.5-0}[/tex] = [tex]\frac{3}{-4.5}[/tex] = - [tex]\frac{2}{3}[/tex]
The line crosses the y- axis at (0, - 3 ) ⇒ c = - 3
y = - [tex]\frac{2}{3}[/tex] x - 3 ← equation of line
The volume of a rectangular prism (shown below) is 48x^3+56x^2+16x Answer the following questions:
(1) What are the dimensions of the prism?
(2) If x = 2, use the polynomial 48x^3+56x^2+16x to find the volume of the prism.
(3) If x = 2, use the factors found in part a to calculate each dimension.
(4) Using the dimensions found in part c, calculate the volume. Show all work.
Answer:
(a)
[tex]Length = 8x\\Width = 3x + 2\\Height = 2x + 1[/tex]
(b)
[tex]P(2) = 640[/tex]
(c)
[tex]Length= 16[/tex]
[tex]Width = 8[/tex]
[tex]Height =5[/tex]
(d)
[tex]Volume = 640[/tex]
Step-by-step explanation:
Given
[tex]P(x) = 48x^3 + 56x^2 + 16x[/tex]
Solving (a): The prism dimension
We have:
[tex]P(x) = 48x^3 + 56x^2 + 16x[/tex]
Factor out 8x
[tex]P(x) = 8x(6x^2 + 7x + 2)[/tex]
Expand 7x
[tex]P(x) = 8x(6x^2 + 4x + 3x + 2)[/tex]
Factorize
[tex]P(x) = 8x(2x(3x + 2) +1( 3x + 2))[/tex]
Factor out 3x + 2
[tex]P(x) = 8x(3x + 2)(2x + 1)[/tex]
So, the dimensions are:
[tex]Length = 8x\\Width = 3x + 2\\Height = 2x + 1[/tex]
Solving (b): The volume when [tex]x = 2[/tex]
We have:
[tex]P(x) = 48x^3 + 56x^2 + 16x[/tex]
[tex]P(2) = 48 * 2^3 + 56 * 2^2 + 16 * 2[/tex]
[tex]P(2) = 640[/tex]
Solving (c): The dimensions when [tex]x = 2[/tex]
We have:
[tex]Length = 8x\\Width = 3x + 2\\Height = 2x + 1[/tex]
Substitute 2 for x
[tex]Length=8*2[/tex]
[tex]Length= 16[/tex]
[tex]Width = 3*2+2[/tex]
[tex]Width = 8[/tex]
[tex]Height = 2*2 + 1[/tex]
[tex]Height =5[/tex]
So, we have:
[tex]Length= 16[/tex]
[tex]Width = 8[/tex]
[tex]Height =5[/tex]
Solving (d), the volume in (c)
We have:
[tex]Volume = Length * Width * Height[/tex]
[tex]Volume = 16 * 8 * 5[/tex]
[tex]Volume = 640[/tex]
Complete the table using the equation w = m + 4
Answer:
5+4 = 9
6+4 = 10
7+4 =11
Step-by-step explanation:
Answer:
(5,9)
(6,10)
(7,11)
Step-by-step explanation:
w = m + 4
when m = 5,
w = 5 + 4 = 9
when m = 6
w = 6 + 4 = 10
when m = 7
w = 7 + 4 = 11
1. In the past, Sam cashed his paycheck each month at Ready Cash, a check cashing service that
charges a 5% fee. He recently opened a checking account at Bank of America so he can now
deposit and/or cash his paycheck without a fee. If Sam is making $28,500 per year, how much will
he save by not going to Ready Cash anymore?
Step-by-step explanation:
28000 ÷ 100
=280
280 × 5
=1400
Hi! I'd appreciate if you could help me on this question.
Liam is buying bottles of soda in packages that contain 8 bottles each. If the total number of sodas Liam bough t was between 45 and 50, how many did he buy? Explain your answer.
Answer:
48
Step-by-step explanation:
We need to find the multiples of 8
8,16,24,32,40,48
48 is between 45 and 50 so he must have bought 48
Answer:
6 bottles
Step-by-step explanation:
For this question we need to know the multiple of 8 which are:
8 x 1 = 8
8 x 2 = 16
8 x 3 = 24
8 x 4 = 32
8 x 5 = 40
8 x 6 = 48
8 x 7 = 56
There is only one multiple, which is greater than 45 but less than 50, which is 8x6 l.
This means he bought 6 bottles.
Answered by g a u t h m a t h
Please help!
The quantities x and y are proportional.
x: 4 5 10
y: 10 12.5 25
Find the constant of proportionality (r) in the equation y=rx.
9514 1404 393
Answer:
r = 2.5
Step-by-step explanation:
The constant of proportionality can be found by solving the equation for r:
r = y/x
Then any corresponding values of x and y can be used to find r:
r = 25/10 = 2.5
The constant of proportionality is 2.5.
The figure below is a rectangular prism.
Which edge is parallel to segment BD?
A. HK
B. BM
C. DK
D. AH
What is the length of the line?
Find an equation of a plane containing the line r=⟨0,4,4⟩+t⟨−3,−2,1⟩ which is parallel to the plane 1x−1y+1z=−5 in which the coefficient of x is 1.
..?.. = 0.
The plane you want is parallel to another plane, x - y + z = -5, so they share a normal vector. In this case, it's ⟨1, -1, 1⟩.
The plane must also pass through the point (0, 4, 4) since it contains r(t). Then the equation of the plane is
⟨x, y - 4, z - 4⟩ • ⟨1, -1, 1⟩ = 0
x - (y - 4) + (z - 4) = 0
x - y + z = 0
Surface Area of cones
Instructions: Find the surface area of each figure. Round your answers to the nearest tenth, if necessary.
9514 1404 393
Answer:
64.1 ft²
Step-by-step explanation:
The area of the cone is given by ...
A = πr(r +h) . . . . for radius r and slant height h
A = π(2 ft)(2 ft +8.2 ft) ≈ 64.1 ft²
Simplify Square root (150n^2)
Answer:
12
Step-by-step explanation:
If you get a raise from $12 per hour to $15 per hour, what is the percent change?
Answer:
25%
Step-by-step explanation:
Formula to calculate the percent change :-
Change in distance from $12 per hour to $15 per hours = 15-12=3 per hour
Previous value = $12 per hour
Now, the percent change will be :_
Hence, the percent change for from $12 per hour to $15 per hour= 25%
(I copied this answer from JeanaShupp from question-11653373 [no links])
Please help me to find this answer
Step-by-step explanation:
angle of a triangle is 180, therefore to get the remaining one, subtract the sum of the two knows from 180, also for the second one; angle on a straight line is as well 180, since you have fine the interior one, subtract it from 180 to get the second answer
Answer:
so angles in a triangle add up to 180,
32+50+m<MQP=180
82+m<MQP=180
m<MQP=180-82
=98°
and angles on a straight line add up to 180 therefore
m<MQR=180-m<MQP
=180-98
=82
I hope this helps and if you don't understand feel free to ask
Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE=2x, BE=y+10, CE=x+2 and DE=4y−8. Find y.
A. 16
B. 6
C. 18
D. 32
9514 1404 393
Answer:
B. 6
Step-by-step explanation:
The diagonals of a parallelogram intersect at their midpoints, so ...
DE = BE
4y -8 = y +10
3y = 18 . . . . . . . add 8-y
y = 6 . . . . . . . . divide by 3
__
Additional comment
The value of x is found the same way:
2x = x+2 ⇒ x = 2
Select the expression that has a value of 13.
9 + 3 x (2 ÷ 3) + 6
(9 + 3) x 2 ÷ 3 + 6
9 − (3 x 2) ÷ 3 + 6
(9 + 3 x 2) ÷ 3 + 6
Answer:
9 − (3 x 2) ÷ 3 + 6 is the answer
18. The maintenance department ordered $3,450 worth of supplies from a valve and fitting supplier. The
supplier will allow a 15% discount because of the large order. How much will the maintenance department
have to pay for the supplies?
A. $2,932.50
B. $3,398.25
C. $3,406.45
D. $2,954.50
Answer:
A) [tex]\$\ 2932.5[/tex]
Step-by-step explanation:
One is given that a certain amount of money was allotted to be spent on supplies. However, there was a discount applied to the purchase. One is asked to find the amount of money actually spent on the supplies.
$3450 was the initial price that was to be spent on supplies, however, a (15%) discount was applied to this price. Subtract (15) from (100) to find the percent value that was actually spent on supplies.
[tex]100-15=85[/tex]
(85%) of the allotted money was actually spent on supplies. Now one has to find out the numerical value of the amount spent. Divide (85) by (100) and then multiply it by the amount of money allotted to the purchase, to fin the amount actually spent on the purchase.
[tex]3450*(\frac{85}{100})\\\\=3450*0.85\\\\=2932.5[/tex]
help! due august 12th
If 40 men working on a U.S. government project can complete the job in 100 hours, how many men would be required to complete the job in 80 hours?
Answer:50
Step-by-step explanation:(40x100):80
Answer: 50 workers
Let the ratio be
(40×100):80
= 400/80
= 50
Therefore 50 workers will complete the same work in 80 hours.
Must click thanks and mark brainliest
2. Write the equation of the line in point-slope form.
(-1,3) and (2,9)
Answer:
y - 9 = 2 (x - 2)
Step-by-step explanation:
y2 - y1 / x2 - x1 9 - 3 / 2 - (-1) 6/3 = 2
y - 9 = 2 (x - 2)
Operaciones con funciones Suma, resta, multiplicación y división
F(x) 6x+2
G(x) 3x-2
AYUDAAA
Answer:
let us do one night
Step-by-step explanation:
Agg-77182882
(#(+2+
Solve for y. 14y-6(y-3)=22
Answer:
y=0.5
Step-by-step explanation:
14y-6(y-3)=22
14y-6y+18=22
8y+18=22
8y=4
y=0.5
Then we check our work...
14(0.5)-6((0.5)-3)=22
7-6(-2.5)=22
7+15=22
7+15 does equal 22, so this solution is correct.
Prove that: sec⁴B - sec²B = tan⁴B + tan²B.
Step-by-step explanation:
sec⁴B - sec²B = sec²B(sec²B - 1)
= (1 + tan²B)(tan²B)
= tan⁴B + tan²B
= Right-hand side (Proven)
Find the value of x.
A. 57
B. 72
C. 90
D. 124
Answer:
90
Step-by-step explanation:
Angle Formed by Two Chords= 1/2(SUM of Intercepted Arcs)
105 = 1/2 (120+x)
210 = 120+x
Subtract 120 from each side
210-120 = x
90 =x
The value of Intercepted Arcs x will be 90. so option C is correct.
What is the relation between line perpendicular to chord from the center of circle?If the considered circle has center O and chord AB, then if there is perpendicular from O to AB at point C, then that point C is bisecting(dividing in two equal parts) the line segment AB.
Or
|AC| = |CB|
Angle Formed by Two Chords= 1/2 (Sum of Intercepted Arcs)
105 = 1/2 (120+x)
210 = 120+x
Subtract 120 from each side;
210-120 = x
90 =x
Hence, the value of Intercepted Arcs x will be 90. so option C is correct.
Learn more about chord of a circle here:
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