The value 60 is the LCM of 3, 4 and 5.
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Explanation:
LCM = lowest common multiple
To find the LCM, we list out the prime factorization of each number
3 = 3*14 = 2*25 = 5*1Ignoring the factors of 1, we have the unique primes of 2, 3, 5. There are 2 copies of '2', one copy of '3', and one copy of '5'. So we multiply this out to get 2*2*3*5 = 4*15 = 60
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If she had 60 apples, and wanted to give them to 3 friends, then each friend gets 60/3 = 20 apples
If instead, she had 4 friends, then each friend gets 60/4 = 15 apples.
Or if she had 5 friends, then each friend gets 60/5 = 12 apples.
For any of those three cases, there are no leftovers or remainders.
Any multiple of 60 will work (eg: 120 or 180), but 60 is the smallest such number that allows her to divide the apples this way without any leftovers.
Answer:
60
Step-by-step explanation:
60 / 3 = 15
60 / 4 = 20
60 / 5 = 12
They all divide evenly.
Find measure of angles B, E, D and C and the length of BC.
Triangle ABC ~ Triangle DEF. Measure of angle A = 30 degrees and measure of angle F = 65 degrees. AB=20, DE = 35, EF= 28.
Answer:
< B = 180-30-65=85°
< E = 85°
< D = 30°
< C = 65°
BC = 20/35 × 28 = 16
Answer:
<D = 30
< C = 65
<B = <E = 85
16 = BC
Step-by-step explanation:
ABC ~ Triangle DEF
<A = <D = 30
< C = <F = 65
Since they are similar triangles
A+ C + B = 180 since the angles of a triangle = 180
30+65+B =180
95+ B = 180
<B = 180 -95 = 85
<B = <E = 85
The triangles are similar so the sides are proportional
AB BC
---- = ---------
DE EF
20 BC
---- = ---------
35 28
Using cross products
20*28 = 35 BC
Divide each side by 35
20*28/35 = 35/35 BC
16 = BC
Solve for x in this equation.
7^3x-17 = 49^x
Answer:
X = 17
Step-by-step explanation:
If you created equivalent expressions with equal bases that should be the answer.
As runners in a marathon go by, volunteers hand them small cone shaped cups of water. The cups have the dimensions shown. Abigail sloshes \dfrac23 3 2 start fraction, 2, divided by, 3, end fraction of the water out of her cup before she gets a chance to drink any. What is the volume of water remaining in Abigail's cup?
Answer:
Volume of water remaining in Abigail's cup = 25.12 cm³
Step-by-step explanation:
As runners in a marathon go by, volunteers hand them small cone shaped cups of water. The cups have the dimensions radius 3 cm and height 8 cm. Abigail sloshes 2/3 of the water out of her cup before she gets a chance to drink any. What is the volume of water remaining in Abigail's cup? Use 3.14 for Pi
Volume of a cone cup = πr²h/3
Radius, r = 3 cm
Height, h = 8 cm
Pi, π = 3.14
Volume of a cone cup = πr²h/3
= (3.14 * 3² * 8) / 3
= (3.14 * 9 * 8) / 3
= 226.08 / 3
= 75.36 cm³
Abigail sloshes 2/3 of the water out of her cup.
What is the volume of water remaining in Abigail's cup
Volume of water Abigail slosh = 2/3 of 75.36 cm³
= 2/3 * 75.36
= 150.72 / 3
= 50.24 cm³
Volume of water remaining in Abigail's cup = Volume of water in the cup - Volume of water Abigail slosh
= 75.36 cm³ - 50.24 cm³
= 25.12 cm³
Volume of water remaining in Abigail's cup = 25.12 cm³
Answer:
25.12
Step-by-step explanation:
I checked in khan
Luis wants to change companies for his phone service. Company SaveMore charges $16 for the initial service plus $0.20 for every 1 text of use.Write an equation that represents the cost of the service, with the cost of the constant number of text, t added After how many texts will the two companies be the same charge for the service?
Answer:
[tex]y = 16 + 0.2t[/tex] --- the equation of SaveMore company
Step-by-step explanation:
Given
SaveMore
[tex]Initial = 16[/tex]
[tex]Additional\ Rate = 0.20[/tex]
Required
Determine the equation
Let
[tex]y \to cost[/tex]
[tex]t \to texts[/tex]
So, we have:
[tex]y = Initial + Additional\ Rate * t[/tex]
[tex]y = 16 + 0.20 * t[/tex]
[tex]y = 16 + 0.2t[/tex]
The equation for the second company is not given. So, the (b) part cannot be correctly answered.
A general solution to the (b) part is:
Assume the equation is:
[tex]y = 10 + 0.4t[/tex]
Next, we equate both
i.e.
[tex]y = y[/tex]
This gives:
[tex]16 + 0.2t = 10 + 0.4t[/tex]
Collect like terms
[tex]0.4t - 0.2t = 16 - 10[/tex]
[tex]0.2t = 6[/tex]
Divide by 0.2
[tex]t = 30[/tex]
Hence, the charges will be the same after 30 texts
these two questions plzz help mee
Write an algorithm to find sum of first ten even numbers?
plz do it ... if you do i will mark brainliest
Answer:
n(n+1)
This is the answer I know
Which equation represents a relationship where y is a nonlinear function
of x?
O x = -6y
O y = IxI- 3
O 3x + 4y = 8
O 4x - 3y + 2 = 8x-5y+12929
Step-by-step explanation:
if you use the online graphing calculator it will help you
what is the relationship between vectors u={1,0} and v={0,-3}?
Answer: Hi, your answer would be
C) The vectors are orthogonal because the angle between them is 90°.
A North American river otter wants to cross the North Saskatchewan river. It can swim at a speed of 2.75 m/s. In that location, the distance directly across the river is 45.0 m and the current velocity is 2.5 m/s.
a) How much time does the otter take to get to the other side, if it points directly across the river?
Answer:
time=16.3 sec
Step-by-step explanation:
let time taken be x
speed=distance/time taken
2.75=45/x
2.75x=45
x=45/2.75
x=16.36
x=16.3 seconds
The time taken is 16.3 seconds.
What is speed?Speed = Distance/Time
This informs us how slowly or quickly an object moves. It defines the distance traveled divided by the time brought to cover the distance. Speed stands directly proportional to distance and inversely proportional to Time.
Let x be the time taken
speed = distance/time taken
2.75 = 45/x
2.75x = 45
x = 45/2.75
x = 16.36
x = 16.3 seconds
Therefore, the time taken is 16.3 seconds.
To learn more about speed
https://brainly.com/question/21904438
#SPJ2
Find a round to the nearest tenth a 150 12 10cm c a=?cm
Answer:
[tex]Using~ the ~ law~ of ~sinse:-[/tex][tex]\frac{a}{SinA} =\frac{b}{SinB}[/tex][tex]\frac{a}{Sin150}[/tex][tex]=\frac{b}{SinB}[/tex][tex]a=\frac{10~sin~150}{Sin~12}[/tex][tex]a=[24] ~cm[/tex]-----------------------hope it helps..have a great day!!There is a 15% chance it will snow and a 15% chance it will rain. What is the probability that it will be a dry day (meaning that it will neither snow nor rain)? HELP PLS
Answer:
70%, obviously
Step-by-step explanation:
15 + 15 = 30, 100 - 30 = 70
Which equation represents a proportional relationship that has a constant of proportionality equal to 2?
y = x + 2
y = x/2
y = 2 x
y = 2
pls hurry
tan145+tan85/1-tan145*tan85 as asingle funciton
Answer:
Step-by-step explanation:
Tan 145 = - 0.7002
Tan 85 = 11.43
Tan 145 + tan 85 = 10.7298
1 - tan(145)* tan(85) = 9.003
(Tan(145) + Tan(85)) / (9.003)
= 10.73 / 9.003
= 1.1918
I misread the question. If you mean
(Tan145+tan85) /1-tan145*tan85 (brackets are really important here)
then the answer is
Tan(145 + 85)
= Tan(230)
= 1.1918
I need help with first question ??
Answer:
Slope = 3
Step-by-step explanation:
Slope formula
(y2 - y1) / ( x2 - x1)
Where the x and y values are derived from the coordinates
Choose any two given ordered pairs and plug them into the formula
The points chosen may vary but the points I chose were (1,3) and (2,6)
( Note that ordered pairs are written as (x,y))
Next we want to define the variables
x1 = 1
x2 = 2
y1 = 3
y2 = 6
Finally we plug in the values into the slope formula
(6-3) / (2-1)
Subtract top values
3/(2-1)
Subtract bottom values
3/1
Simplify
slope = 3
Any answers for this question
Step-by-step explanation:
hear is your both answer
The length of the triangle for the pool table is the twice the sum of 5 and a number. If the rack is equilateral, what is the perimeter, in inches, of the triangle?
Answer:
30 + 6x inches
Step-by-step explanation:
Let the required number be x
If the length of the triangle for the pool table is twice the sum of 5 and a number
L = 2(5+x)
L = 10+2x
Since the triangle is quadrilateral, this means that all sides are equal
Perimeter = 3L
Perimeter = 3(10+2x)
Perimeter = 30+6x
Hence the perimeter, in inches, of the triangle is 30 + 6x inches
How will she know if 5(3x – 6) is equivalent to 15x – 30?
Answer:
By distributing the parenthesis
Step-by-step explanation:
Given
5(3x - 6) ← multiply each term in the parenthesis by 5
= 15x - 30 ← as required
(18)Calculate the volume of this shape
Answer:
108 cm cubed
Step-by-step explanation:
(1/2 of length•height)•width
(1/2 of 6•4)•9
(1/2 of 24) •9
12•9
108
8(2x - 9) = 4(5 + 4x) solve for x
Answer:
No solutions
Step-by-step explanation:
8(2x - 9) = 4(5 + 4x)
Distribute the 8
16x - 72 = 4(5 + 4x)
Distribute the 4.
16x - 72 = 20 + 16x
Add 72 to both sides
16x = 92 + 16x
Subtract 16x from both sides
0 = 92
0 does not equal 92 therefore there are no solutions
Answer:
No solution
Step-by-step explanation:
8(2x - 9) = 4(5 + 4x)
Simplify
8(2x−9).
Start simplifying.
0+0+8(2x−9)=4(5+4x)
Simplify by adding zeros.
8(2x−9)=4(5+4x)
Apply the distributive property.
8(2x)+8(−9)=4(5+4x)
Multiply 2 by 8.
16x+8(−9)=4(5+4x)
Multiply 8 by −9.
16x−72=4(5+4x)
Simplify
4(5+4x).
Apply the distributive property.
16x−72=4×5+4(4x)
Multiply 4 by 5.
16x−72=20+4(4x)
Multiply 4 by 4.
16x−72=20+16x
Move all terms containing x to the left side of the equation.
Subtract 16x from both sides of the equation.
16x−72−16x=20
Combine the opposite terms in
16x−72−16x.
Subtract 16x from 16x.
0−72=20
Subtract 72 from 0.
−72=20
Since −72 ≠ 20, there are no solutions.
Hope it is helpful...The domain of u(x) is the set of all real values except 0 and the domain of v(x) is the set of all real values except 2. What are the restrictions on the domain of (u circle v) (x)?
Answer:
A≈1075.21
d Diameter
37
d
r
r
r
d
d
C
A
Using the formulas
A=
π
r
2
d=
2
r
Solving forA
A=
1
4
π
d
2
=
h1
4
π
37
2
≈
1075.21009
Step-by-step explanation:
Melissa has a spray paint that covers about 6,500 square centimeters. Can melissa apply two coats of paint to the entire sculpture?
Answer:
This question cannot be solved. It does not say anything about a statue in the first sentence and it doesn't give you the area of the statue.
Step-by-step explanation:
Answer:
Actually, in my math book I had that question. The answer was yes, I don’t remember why, but there was a picture included of the sculpture.
Step-by-step explanation:
You have to find the surface area of the cube and the surface area of the cylinder, but you don’t count the faces (circles). Then you total them, and find your answer. You do 6,500 times 2.
in Lisa’s school, 53% of students take a bus to school, 38% go the bus riders were late one snowy morning. 25% of students who don’t take a bus to school were not late that morning. What percent of students who do not take the bus was late that morning?
Answer:
I got 53% but I'm not sure
Step-by-step explanation:
if 53% of students take the bus, then 47% of students DON'T.
25% (the percent of non-riding students who were late) of 47 is about 53%
¿Numeros entre 0,1 y 0,5?
Answer:
0.2
0.3
0.4
Step-by-step explanation:
I NEED THIS ANSWER PLEASE LAST QUESTION FOR EXAM PLEASE SHOW WORK
Answer:
x = 8
Step-by-step explanation:
b². b⁵ = b¹⁵/ bˣ
b²⁺⁵ = b¹⁵⁻ˣ
2 + 5 = 15 - x
7 = 15 - x
x = 15 - 7
x= 8
[tex](5^{3})^{-3}[/tex] pls
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]( { {5}^{3} })^{ - 3} \\ \\ which\:means \:that \: {5}^{3}\: is \:multiplied \:thrice\: with\: itself\\ \\ = {5}^{3 \times - 3} \\ \\ = {5}^{ - 9} \\ \\= \frac{1}{ {5}^{9} } \\ \\ = \frac{1}{5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5} \\ \\ = \frac{1}{1953125} [/tex]
Note:-
[tex]( { {a}^{m} })^{n} = {a}^{m \times n} [/tex]
[tex]{a}^{ - m} = \frac{1}{ {a}^{m} }[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
How many kilograms are equivalent to 5 pounds?
Answer: the answer is 2.25 kg
Step-by-step explanation:
x=3, and y=-4: -5(x-2) + 3y
Answer:
-17
Step-by-step explanation:
Substitute 3 for x and -4 for y
-5(x-2) + 3y
-5 ( 3 - 2 ) + 3 * -4
-5 * 1 + 3 * -4
-5 - 12
-17
please help !!! 5 minutes !!!
Answer:
Step-by-step explanation:
2 is the correct answer
Answer:
4
Step-by-step explanation:
The answer is the LCM of all the denominators (Least Common Multiple)
All the denominators: 4, 2, 4
The LCM of this set of denominators is 4.
The answer is 4.
Check: [tex]-\frac{3}{4} m-\frac{1}{2} =2+\frac{1}{4} m[/tex]
[tex]-\frac{3}{4} m(4)-\frac{1}{2}(4) =2(4)+\frac{1}{4} m(4)==-3m-2=8+m[/tex]
write the set builder form of
{1, 1/4, 1/9, 1/16, 1/25}
If it takes star 1/2 a can of sauce to cover 3/4 of a pizza,compute the unit rate in terms of cans of sauce per pizza