Alexa danced for 3 2/4 hours on Saturday. Sherlyn swam 1/5 of that time. How many
hours did Sherlyn swim on Saturday?
Answer:
Sherlyn swam 42 minutes on Saturday
Step-by-step explanation:
danced for 3 2/4 hours on Saturday
3 2/4 hours is equivalent to 3.5 hours
1 / 5 of (that time) 3.5 hours is (1 / 5) * 3.5 = 0.7 hours
Because one hour is equal to sixty minutes, in order to change the units you have to multiply the number of hours, 0.7, by 60.
0.7 x 60 = 42 minutes
Let me know if you have any questions !
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The base of a prism has n sides. Find the numbers of faces, edges, and
vertices of the prism. Explain your reasoning.
Answers:
faces = n+2edges = 3nvertices = 2n===========================================================
Explanation:
Think of a hexagonal room with n = 6 walls, i.e. the floor is a hexagon with n = 6 sides. The floor and ceiling are parallel to each other, and congruent hexagons. That's 2 faces so far. Then we have another 6 faces to account for the walls. This gives 2+6 = 8 faces of a hexagonal prism.
In more general terms, a prism with a base of n sides will have 2 parallel and congruent base faces, and n walls or lateral faces. This gives n+2 total faces.
------------------------
Let's go back to the hexagonal prism. The floor has 6 sides to it, and so does the ceiling. We have 6+6 = 12 edges so far. Then we have another 6 edges where each of the rectangular walls meet up. That gives 12+6 = 18 edges total of this hexagonal prism room.
For any more general case, each base has n sides. That gives 2n sides so far for just the bases. Then add on another n for the lateral edges and we get 3n total edges.
--------------------------
Once again lets revisit the room with the hexagonal floor and ceiling. The floor has 6 vertices and the ceiling has the same vertex count. Therefore, this prism has 6+6 = 12 vertices.
For the general case, each base has n vertices. There are 2 such identical bases giving 2n vertices total.
---------------------------
One way to check the answer:
We could use Euler's Polyhedron Formula which is
F+V-E = 2
where,
F = number of facesV = number of verticesE = number of edgesFor the hexagonal prism we found
F = 8V = 12E = 18Then notice how
F+V-E = 2
8+12-18 = 2
20-18 = 2
2 = 2
This confirms the formula works for a hexagonal prism.
Now let's check it for the more general case
We found earlier that,
F = n+2V = 2nE = 3nSo,
F+V-E = 2
n+2+2n-3n = 2
3n-3n+2 = 2
0n+2 = 2
0+2 = 2
2 = 2
This helps confirm the answer for any prism with the base of n sides.
A transport company needs to deliver 500,000 pounds of rocks to a construction site. The company owns a set of dump trucks- each with a container in the shape of a rectangular prism (figure A). If each pound of rock has a volume of 0.01 cubic feet, how many dump trucks will it take to transport the rock? Calculate the total volume of rock that the transport company is responsible for. Calculate the maximum volume of each dump truck. How many trucks are needed to deliver the rock in one trip?
The number of trucks needed to deliver the rock in one trip will be 6.
How to find the volume of a right rectangular prism?Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:
V = a x b x c
A transport company needs to deliver 500,000 pounds of rocks to a construction site.
The company owns a set of dump trucks- each with a container in the shape of a rectangular prism (figure A).
If each pound of rock has a volume of 0.01 cubic feet.
Then the total volume of rock that the transport company is responsible for.
Volume of rocks = 0.01 x 500,000
Volume of rocks = 5,000 ft³
Then the maximum volume of each dump truck will be
Volume of truck = 12 x 9 x 8
Volume of truck = 864 ft³
Then the number of the trucks are needed to deliver the rock in one trip will be
Number of trucks = 5000 / 864
Number of trucks = 5.787
Number of trucks ≅ 6
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What is the volume of a sphere with a diameter of 9.1 m, rounded to the nearest tenth of a cubic meter?
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
1 3/5
Step-by-step explanation:
brainliest pleaseeee
Mrs.Howard paid 45$ for 3 packs of diapers. Write an equation relatin the cost, c , to the number of packs of diapers, d. The equation should be form of direct variation, and use the ewuation you wrote for this to find out how much mrs..howard would pay for 11 packs of diapers. Please help, worth lots of points,
Answer:
165 is your cost in dollars
Step-by-step explanation:
d = 15c
11 * 15c = 165c
Simplify.
- (u+5)+5 (2u-5)
Answer:
Step-by-step explanation:
-u-5+10u-25=9u-30
it was easy.
Paul went to a blackjack table at the casino. at the table, the dealer has just shuffled a standard
deck of 52 cards.
paul has had good luck at blackjack in the past, and he actually got three blackjacks with kings in a
row the last time he played. because of this lucky run, paul thinks that kings are the luckiest card.
the dealer deals the first card to him. in a split second, he can see that it is a black card, but he is
unsure if it is a king.
what is the probability of the card being a king, given that it is a black card? answer choices are
in a percentage format, rounded to the nearest whole number.
Using it's concept, it is found that there is a 8% probability of the card being a king, given that it is a black card.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In a standard deck, there are 26 black cards, of which 2 are kings, hence the probability is given by:
p = 2/26 = 0.0769 = 7.69%.
Rounded to the nearest whole number, 8% probability of the card being a king, given that it is a black card.
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how to solve to |12(16−63)|
Step-by-step explanation:
simply do the calculations :
|12 × (16 - 63)|
|12 × - 47|
|-564| = 564
that's it.
remember, the absolute value is always the positive value of a number.
|-x| = x
and also
|x| = x
Find the equation of the line parallel to 6x+5y=1 and passing through (-4,-2)
Hi Student!
The first step that we need to take before trying to solve the problem is that we need to take out important information from the problem. The first important piece of information that is given to us is that we are trying to find an equation of a line that is parallel to a different line. This means that our slope is going to be the same as the initial line given. The second piece of information that is given is a point through which our line passes through which will help us greatly when solving for our line.
The next step that we must take is to solve for y in the given equation so we can see what the slope is.
Subtract 6x from both sides
[tex]6x + 5y = 1[/tex][tex]6x - 6x + 5y = 1 - 6x[/tex][tex]5y = 1 - 6x[/tex]Divide both sides by 5
[tex]\frac{5y}{5} = \frac{1 - 6x}{5}[/tex][tex]y= \frac{1}{5} - \frac{6x}{5}[/tex][tex]y=- 1.2x+ 0.2[/tex]Now that we have completely solved for y, we can see that the slope is -1.2 using the y = mx + b formula which states that m is the slope.
Moving onto the next step, we must use the point-slope formula to determine what the new equation is that has the same slope and passes through (-4, -2).
Insert the Values
[tex](y-y_1)=m(x-x_1)[/tex][tex](y-(-2))=-1.2(x-(-4))[/tex]Simplify the Equation
[tex]y+2=-1.2(x+4)[/tex]Distribute the Equation
[tex]y+2=(-1.2*x)+(-1.2*4)[/tex][tex]y+2=-1.2x-4.8[/tex]Subtract 2 from both sides (to isolate y)
[tex]y+2 - 2=-1.2x-4.8- 2[/tex][tex]y=-1.2x-6.8[/tex]Therefore, our final answer for the equation of the line parallel to 6x + 5y = 1 and that passes through (-4, -2) is y = -1.2x - 6.8.
A stone pyramid in Egypt has a square base that measures 154 m on each side. The height is 91 m. What is
the volume of the pyramid?
Answer:
14014
Step-by-step explanation:
base of stone pyramid=154
height=91
b×h
154×91=4014
Use the stem-and-leaf plot below to match each term with the correct value. (Round to the nearest whole number.)
Answer:
Step-by-step explanation:
16, 18, 23, 25, 26, 34, 37, 37, 40, 41, 46
( 16 + 18 + 23 + 25 + 26 + 34 + 37 + 37 + 40 + 41 + 46 ) ÷ 11 = 31.181818...
mean ≈ 31
median = 34
mode = 37
Change from radians to degrees 7pi/4
The conversion of [tex]\dfrac{7\pi}{4}[/tex] in degrees will be equal to 315°
What is a radian?Radian is a unit of angle, equal to an angle at the centre of a circle whose arc is equal in length to the radius.
Here the given angle in radian is [tex]\dfrac{7\pi}{4}[/tex]
Angle in degrees is converted by multiplying it with [tex]\dfrac{180}{\pi}[/tex].
So the angle in degrees will be:-
[tex]=\dfrac{7\pi}{4}\times \dfrac{180}{\pi}[/tex]
[tex]=\dfrac{7\times 180}{4}[/tex]
Angle=315°
Therefore the conversion of [tex]\dfrac{7\pi}{4}[/tex] in degrees will be equal to 315°
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Answers this any links will be reported
Hey there!
ASSUMING
(3x)° + 45° = 180°
3x + 45 = 180°
SUBTRACT 45 to BOTH SIDES
3x + 45 - 45 = 180 - 45
SIMPLIFY IT!
3x = 180 - 45
3x = 135
DIVIDE 3 to BOTH SIDES
3x/3 = 135/3
SIMPLIFY IT!
x = 45°
Therefore, the answer should be:
x = 45
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
[tex]\large\boxed{\sf{x=45}}[/tex]Step-by-step explanation:
Given:
Complementary angles of 180 degrees.To solve:
For x, to isolate it one side of the equation.(3x)°+45°=180°
3x+45=180First, subtract by 45 from both sides.
3x+45-45=180-45
Solve.
Subtract these numbers goes from left to right.
180-45=135
3x=135
Divide by 3 from both sides.
3x/3=135/3
Solve.
Divide these numbers from left to right.
135/3=45
[tex]\Longrightarrow: \boxed{\sf{x=45}}[/tex]
Therefore, the final answer is x=45.I hope this helps, let me know if you have any questions.
The sum of 7.2 and a number is 10
Someone help?
Answer:
2.8
Step-by-step explanation:
Just substract 7.2 from 10
You get: 2.8
Answer:
2.8
Step-by-step explanation:
because 7.2 plus 2.8 equals
What is the greatest common factor of
21xy^3 6x^4y^2
A. 42x^4 y^3
B. 42x^5 y^5
C. 3x^4 y^3
D. 3xy^2
What are the coordinates of the image of (-3, -7) after the translation (x, y) - > (x-9, y + 9)? F (-6, 16) H (12, -2) G (6, -16) J (-12, 2)
The coordinates of the image of (-3, -7) after the translation will be equal to .(-12,2)
What is translation?The process of changing the location of the image on the coordinate system will be known as the translation. Here the image is translated as (x-9,y+9).
The given coordinate of the point is:- (-3,-7)
So the translation will be calculated as:-
=(x-9,y+9 )
=(-3-9,-7+9
=(-12,2)
Hence coordinates of the image of (-3, -7) after the translation will be equal to (-12,7)
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Find the statement Pk + 1 for the given statement Pk
Step-by-step explanation:
k has to be replaced by k+1.
so,
4 / ((k+1)(k+1 + 3)) = 4 / ((k+1)(k+4))
I am not sure how far your teacher expects you to go with this.
just in case, I will do also the full multiplications
4 / ((k+1)(k+4)) = 4 / (k² + 4k + k + 4) = 4 / (k² + 5k + 4)
and if you need the factor to go from Pk to Pk+1 :
Pk+1 / Pk = (4/((k+1)(k+4))) / (4/(k(k+3)) =
= (4/((k+1)(k+4))) × (k(k+3))/4 =
= (k(k+3)) / ((k+1)(k+4))
To produce 10 shirts, the total cost is $80; to produce 11 shirts, the total cost is $99. The average total cost of the 11th shirt is equal to Group of answer choices $8. $9. $80. $99. $19.
Suppose a normal distribution has a mean of 26 and a standard deviation of 4. What is the probability that a data value is between 28 and 35? Round your answer to the nearest tenth of a percent.
A. 29.6%
B. 23.6%
C. 27.6%
D. 25.6%
Using the normal distribution, it is found that the probability that a data value is between 28 and 35 is given by:
A. 29.6%.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.Researching the problem on the internet, the mean and the standard deviation are given by:
[tex]\mu = 26, \sigma = 4[/tex].
As a proportion, the probability that a data value is between 28 and 35 is the p-value of Z when X = 35 subtracted by the p-value of Z when X = 28, hence:
X = 35:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{35 - 26}{4}[/tex]
Z = 2.25
Z = 2.25 has a p-value of 0.988.
X = 28:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{28 - 26}{4}[/tex]
Z = 0.5
Z = 0.5 has a p-value of 0.692.
0.988 - 0.692 = 0.296 = 29.6%, which means that option A is correct.
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The factors of 52 and the first three factors of 130 are listed in the table below. Fill in the remaining five factors of 130 and then identify the greatest common factor, or GCF, of 52 and 130.
Type the multiples in the increasing order.
130: 1, 2, 5,
GCF of 52 and 130:
Factors of 130: 1, 2, 5, 10, 13, 26, 65, 130
GCF of 52 and 130 is 26
I found a similar question here so that's what I can only tell you. I hope it will help you.
Will mark brainlist to whoever answers first
An equilateral triangle has a side length of $12 \sqrt{3}.$ The triangle is rotated about one of its altitudes as an axis, sweeping out a cone in space. Find the volume of the cone.
The volume of the cone is 254.85 cubic units
How to determine the volume of the cone?The side length of the equilateral triangle is given as:
l = 12√3
Calculate the radius (r) of the cone using:
r = l/2
r = 12/2√3
r = 6√3
Calculate the height of the cone using:
[tex]h = \sqrt{l^2 + (l/2)^2[/tex]
This gives
[tex]h = \sqrt{(12\sqrt 3)^2 + (6\sqrt3)^2[/tex]
Evaluate
[tex]h = \sqrt{540[/tex]
h = 22.24
The volume of the cone is then calculated as:
V = 1/3πr²h
This gives
V = 1/3π * (6√3)² * 22.24
Evaluate
V = 254.85
Hence, the volume of the cone is 254.85 cubic units
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there are 18 sweets in a packet. 8 of the sweets are mint what fraction of the sweets are not mint
Answer:
10/18 of the sweets are not mint
you can also simplify this fraction and say 5/9
Pls help
In the diagram below, △KLM≅△NOP.
What is the length of line segment KL¯¯¯¯¯?
A - 12 units
B - 14 units
C - 17 units
D - 19 units
The value of x will be equal to 14 units.
What is congruency?The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one are congruent to the included angle and corresponding two sides of the other triangle.
Since the two triangles are congruent so the value of x will be calculated as:-
2x - 9 = x + 5
2x - x = 9 + 5
x = 14
Therefore the value of x will be equal to 14 units.
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3 added to twice a number
Answer:
The equation is n2 + 3
Step-by-step explanation:
The n represents the number.
for example the number 10
if you put it in the equation it becomes
(10)(2) +3
10x2=20
20+3=23
_30. Solve the following logarithmic equation: log8(x + 9) + 3 = 3
A) x = -8
B) x = 87
C) x = 12.5
D) x = 0
=
Answer:
A
Step-by-step explanation:
using the rule of logarithms
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
[tex]log_{8}[/tex] (x + 9) + 3 = 3 ( subtract 3 from both sides )
[tex]log_{8}[/tex] (x + 9) = 0 , then
x + 9 = [tex]8^{0}[/tex] = 1 ( subtract 9 from both sides )
x = - 8
Which equation represents the relationship between the Cost in dollars, C, and the pounds of apples, a, bought?
does anyone know the width the length the height of this tissue box pls someone tell me Asap.
Answer:
Hey!
Well based on my knowledge it usually says that on the tissue box itself.... (in fine print)
i may be wrong.... but do check...
How do I find the function rule???
x: 0, 1, 2, 3
y: 5, 4, 3, 2
Answer: y=-1x+5
Step-by-step explanation:
1. Use slope-intercept formula (y = mx + b) to find the slope which is represented by the variable 'b'.
m = ∆y / ∆x
m = -1 / 1
m = -1
y= -1x + b
2. Use any cooresponding x and y values to substitute into the formula. Ex: (x,y) → (1,4)
y = mx + b
4 = -1(1) + b
4 = -1 + b
5 = b
3. Plug in the values found into the formula.
y = -1x + 5
