Answer:
1080
Step-by-step explanation:
72 = 2 × 2 × 2 × 3 × 3
216 = 2 × 2 × 2 × 3 × 3 × 3
270 = 2 × 3 × 3 × 3 × 5
LCM(72, 216, 270)
= 2 × 2 × 2 × 3 × 3 × 3 × 5
= 1080
==========================================
Explanation:
Write out the prime factorization of each value. A factor tree may help.
72 = 2^3*3^2216 = 2^3*3^3270 = 2*3^2*5The unique primes that show up are: 2, 3, 5
For the prime factor 2, the highest exponent is 3. So 2^3 is a factor of the LCM.For the prime factor 3, the highest exponent is 3. So 3^3 is a factor of the LCM.For the prime factor 5, the highest exponent is 1. So 5^1 is a factor of the LCMThe LCM is 2^3*3^3*5^1 = 8*27*5 = 1080
Hi, I need help pretty please! (This time with 5 screenshots)
Find the sum of the given geometric series: n = 8, r = 3, a = 1/2
Answer:
a⁸=112 is the answer.
Step-by-step explanation:
a⁸=32(1/2)⁷
a⁸=32(7/2)
a⁸=112
Perform the following calculations. To calculate the number of pounds of meat required to feed diners do the following: for poultry or meat with bones, divide the number to be served by 2.5; for meat with little or no bone, divide the number to be served by 3.5; and for fish fillets divide the number to be served by 3.5. Guests = 100 Meat served = boneless chicken How many pounds of chicken are required?
Answer:
28.58 pounds, about 29 pounds
Step-by-step explanation:
Poultry meat with bones ; divide number to be served by 2.5
Meat with little or no bone ; divide number to be served by 3.5
If number of guests to be served = 100
Meat served = 100
The number of pounds of chicken required :
Number of guests to be served / meat served
Hence,
100 / 3.5
= 28.58 ; which is about 29 pounds
Answer:
43
Step-by-step explanation:
Which of the following fraction is the largest ?
5/6
7/12
4/7
2/3
Answer:
5/6
Step-by-step explanation:
So to do this, lets convert all of these fractions into decimals by dividing:
5/6 --> 0.833...
7/12 --> 0.583...
4/7 --> 0.571...
2/3 --> 0.66...
From this, it can be see that it is 5/6, since it is a larger decimal compared to the other choices.
15 pts, Solve a right triangle. Please write your answers as it says on the mandate, Thanks!
Hence,
Hence, EG = 5√2And, FG = 5√6Hope it helps you. Please don't mind my rude handwriting. Just pretend it get bent due to a cyclone.
What is the difference between a plane and a piece of paper?
A. Nothing, both can have lines and points on them
B. You can draw on paper not on a plane
C. You can make a piece of paper into a plane if you know how to fold it
D. A plane is two dimensional and goes on infinitely, a piece of paper has three dimensions and has definite boundaries
E. Nothing, because they are the same thing
F. Planes are used in mathematics, paper is not
Answer:
D
Step-by-step explanation:
The two line plots below show the number of hours per week students in Mr. Pinkos' class spend doing homework and watching television
Answer:
Step-by-step explanation:
I need help
Calculate the surface area of this cylinder. Use 3.14 for the value of pi.
Answer:
1884.96 cm squared
hey! i’ll give brainliest please help.
The last name I am pretty sure of it.
Answer:
Zarathustra is the answer
2 t-shirts and 3 hats costs £12.
5 t-shirts and 4 hats costs £23.
Find the cost of a t-shirt.
Find the cost of a hat.
The cost of a t-shirt is £3 and the cost of a hat is £2.
What is a linear equation?
When an equation contains one or more variables with exponents as 1 then such equations are linear equations.
For example, 3x+2y=9 and 4y=6. The first equation is a linear equation with two variables and the second equation is with the linear equation in one variable.
Let the cost of a t-shirt is £m and the cost of a hat is £n.
Formulate two linear equations using the given statements in the question.
[tex]2m+3n=12\,\,\, ...(1)\\5m+4n=23\,\,\, ...(2)[/tex]
Obtain the value of m from equation (1).
[tex]2m=12-3n\\m=\frac{12-3n}{2}[/tex]
Substitute the obtained value of m into equation (1) and find n.
[tex]5 \times(\frac{12-3n}{2})+4n=23\\ 60-15n+8n=46\\14=7n\\n=2[/tex]
Substitute the value of n into [tex]m=\frac{12-3n}{2}[/tex]and obtain the value of m.
[tex]m=\frac{12-3(2)}{2}\\=\frac{12-6}{2}\\ =\frac{6}{2}\\ =3[/tex]
Thus, the cost of a t-shirt is £3 and the cost of a hat is £2.
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Find the value of x. Write your answer in simplest form.
Answer:
It would be 4.
Step-by-step explanation:
Alright, this is a 30-60-90 special triangle. With special triangles, there is a formula that you can use to find unknown side lengths of a triangle if you know the angles of it.
With a 30-60-90 triangle, the sides opposite of these angles are:
30 degrees : x
60 degrees: x√3
90 degrees: 2x
With this, we can see that opposite of the 60 degrees is the length 2√3. From this, it can be found that the opposite of the 30 degrees would be 2, given the formula of the special triangle. Lastly, the unknown value would be 4, since it is two times this amount.
Answer:
x = 4
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{2\sqrt{3} }{x}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
[tex]\sqrt{3}[/tex] x = 4[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )
x = 4
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Step-by-step explanation:
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need some funny hair jokes for math teacher plss
Answer:
Grey Hairs? Try some of our free Pi-Lights
Step-by-step explanation:
NEED ANSWERS!!!!!!!!!!
Answer:
(1,0) and (3,0)
Step-by-step explanation:
The roots are always shown where the parabola crosses the x-axis.
In this particular graph, the parabola crosses at (1, 0) and (3, 0). Which means the roots are:
x = 1 and x = 3
On a number line , 1.38 would be located... choose all answers that make the statement true
A) to the right of 1.29
B) to the left of 1.36
C) between 0 and 1
D) between 1 and 2
Answer: A and D are the correct answers.
Step-by-step explanation:
Someone helppp!!!!!!
If SW ⊥ RT, m< RSU = 5x+17, and m<VST = 9x-11, find m<WSV.
Answer:
uhhhh.....wut?
Step-by-step explanation:
The measure of the angle WSV is 38 degrees.
What is the complementry angles?Complementary Angles Two angles are Complementary when they add up to 90 degrees.
The value of x is;
[tex]\rm 5x+17=9x-11\\\\ 5x-9x=-11-17\\\\-4x=-28\\\\x =\dfrac{-28}{-4}\\\\x=7[/tex]
The angle VST is equlas to;
[tex]\angle \rm VST=9x-11=9(7)-11=63-11=52 \ degrees[/tex]
The angle VST and angle WSV are the complementary angles;
[tex]\angle \rm WSV+\angle VST=90\\\\\angle \rm WSV+52=90\\\\ \angle \rm WSV=90-52\\\\\angle \rm WSV=38[/tex]
Hence, the measure of the angle WSV is 38 degrees.
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I reposted this someone gave me a link and it tried to give me a virus
Answer:
216 cubic centimeters
Step-by-step explanation:
I divided the shape as two separate rectangular prisms.
4 times 6 times 6 = 144
3 times 4 times 6 = 72
144 + 72 = 216
I hope this helps! :-)
Acabcompanycharges $ 4 percabride,plusanadditional $ 1 permiledriven.Howlongisacabridethatcosts $ 28 ?
Answer:
24 miles
Step-by-step explanation:
Given that the cost of the company consist of two elements; a fixed cost equivalent to $4 and a variable cost element which depends on the miles driven. If the car travels x miles then the cost will be
= 4 + 1*x
= 4 + x
If the total cost is $28 then
4 + x = 28
Subtract 4 from both sides
x = 28 - 4
= 24
The car ride is
24/1 = 24 miles
What does x and y equal
Carl and Tamera want to compare their tests in math class. They have taken six tests. Should they use the mean, median or mode to compare their scores?
Answer:
Mean
Step-by-step explanation:
I said mean because it would allow both Carl and Tamera to average their scores and compare one side by side rather than comparing 6 each which would just be time consuming and it seems like it wouldn't be any other choices.
A real estate agent earns 3% commission on each house she sells. If she sells a 150,000 house, how much commission will she get?
Answer:
4,500
Step-by-step explanation:
150,000x.03=4500
The commission of the real estate agent is 4500 which is 3% of 150,000.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, A real estate agent earns a 3% commission on each house she sells and she sells a 150,000 house.
So, His commission is 3% of 150,000.
Therefore,
Commission = (3/100)×150000.
Commission = 4500.
So, The commission of the real estate agent is 4500.
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Help me plss I will give u anything but pls help me
Answer:
The percentage is 1/2 * 2/5 = 1/5 = 20%.
Answer:
The correct answer is 20%
Step-by-step explanation:
If you were to pick two marbles from the pile, there would be 30 different possible combinations. Out of the 30 possible combinations, 6 of them meet the requirement of green marble on the first pick and red marble on the second pick. The fraction that represents the situation would be [tex]\frac{6}{30}[/tex] or [tex]\frac{1}{5}[/tex], which would be equal to 20%, so that is the correct answer.
I need help with this question hurry
Answer:
a b c and f
Step-by-step explanation:
rectangle parallelogram square and rhombus
A bag contains 3 red marbles, 4 blue, 9 yellow, and 5 green. What is the probability of getting a blue marble?
Answer:
Step-by-step explanation:
calculate the area of the shaded region. someone please help!
Answer:
[tex]130cm^{2}[/tex]
Step-by-step explanation:
1) Calculate the entire rectangle and subtract the right triangle area
15 x 10 = 150 Entire rectangle area
(5 x 8) ÷ 2 = 20 Triangle area
150 - 20 = 130 Area of shaded region
What is the volume of a cylinder with a height of 12.8 m and a base with a radius of 5.7 m, to the nearest tenth of a cubic meter?
Answer: 1306.5 m^3
Step-by-step explanation:
1. The formula for the volume of a cylinder is: V=[tex]\pi[/tex]r^2h
2. If you substitute the values into the equation, you get
V = pi * 5.7^2 * 12.8 = 1306.5
3. 1306.5 is already to the nearest tenth, so that is the answer.
Philip bought a pair of jeans that were on sale. The jeans cost $45 before the sale. The sale discount was $9.
Which percent shows the discount Philip got on his jeans?
Answer: It’s 5%
Step-by-step explanation:45 divided by 9 is 5 so that the answer :)
7. Is it proportional?
8. If so, what is the constant of
proportionality? (unit rate)
9. Write an equation that
expresses the table in the
form
Y= KX
Answer:
A unit rate is the rate of change in a relationship where the rate is per 1.
The rate of change is the ratio between the x and y (or input and output) values in a relationship. Another term for the rate of change for proportional relationships is the constant of proportionality.
If the rate of change is yx, then so is the constant of proportionality. To simplify things, we set yx=k, where k represents the constant of proportionality.
If you solve a yx=k equation for y, (like this: y=kx), it is called a direct variation equation. In a direct variation equation, y varies directly with x. When x increases or decreases, y also increases or decreases by the same proportion.
To find y in a direct variation equation, multiply x by the constant of proportionality, k.
For example: Given the relationship y=7x, the constant of proportionality k=7, so if x=3, then y=3×7 or 21.
Given the same relationship, if x=7, then y=7×7, or 49.
Step-by-step explanation:
Answer:
Yes it is. Y=2.5x
Step-by-step explanation:
So, lets start with bthe first values of the table and work our way down:
2x=5y
Lets just divide both sides by the 2:
x=5/2y
This means that for every 1 x, there should be 5/2y's.
Or, for every 1 x, there should be 2.5ys.
Lets check the next few to see if thats correct:
3x=7.5y
Divide both sides by 3:
x=7.5/3
This means for every one x, there are again, 2.5ys.
Lets check one more just to be sure:
4x=10y
Divide both sides by 4:
x=10/4
This means for everyone one x, y equals 2.5ys, yet again,
So we can conclude that the poprotional relationship between x and y is:
When x equals 1, y=2.5
Or
Y=2.5x
Hope this helps!
A cone has twice the base diameter and three-fourths the height of a cylinder. Can you tell what the relationship between the volume of the cone and the volume of the cylinder is? Explain your reasoning.
Answer:
Equal volumes
Step-by-step explanation:
Given
[tex]h \to[/tex] height of cone
[tex]d \to[/tex] diameter of cone
[tex]H \to[/tex] height of cylinder
[tex]D \to[/tex] diameter of cylinder
Such that:
[tex]d = 2D[/tex]
[tex]h =\frac{3}{4}H[/tex]
Required
The relationship between the volumes
The volume of a cylinder is:
[tex]V_1 = \pi R^2H[/tex]
Where
[tex]R = 0.5D[/tex]
So:
[tex]V_1 = \pi (0.5D)^2H[/tex]
[tex]V_1 = \pi *0.25*D^2H[/tex]
[tex]V_1 = 0.25\pi D^2H[/tex]
The volume of the cone is:
[tex]V_2 = \frac{1}{3}\pi r^2h[/tex]
Where
[tex]r =0.5d[/tex]
[tex]r = 0.5 * 2D[/tex]
[tex]r = D[/tex]
and
[tex]h =\frac{3}{4}H[/tex]
So, we have:
[tex]V_2 = \frac{1}{3}\pi * D^2 * \frac{3}{4}H[/tex]
[tex]V_2 = \frac{1}{4}\pi * D^2H[/tex]
[tex]V_2 = 0.25\pi * D^2H[/tex]
[tex]V_2 = 0.25\pi D^2H[/tex]
So, we have:
[tex]V_1 = 0.25\pi D^2H[/tex]
[tex]V_2 = 0.25\pi * D^2H[/tex]
[tex]V_1 = V_2[/tex]
Answer: : When a cone and cylinder have the same height and radius the cone will fit inside the cylinder. The volume of the cone will be one-third that of the cylinder. If the radius or height are different, then there is no relationship between them.
Step-by-step explanation: