Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
let n be the number , then
[tex]\frac{1}{6}[/tex] n + [tex]\frac{1}{3}[/tex] = [tex]\frac{2}{3}[/tex] n
multiply through by 6 ( the LCM of 6 and 3 ) to clear the fractions
n + 2 = 4n ( subtract n from both sides )
2 = 3n ( divide both sides by 3 )
[tex]\frac{2}{3}[/tex] = n
Answer:
[tex]{\mathsf {n=\frac{2}{3}}}[/tex]
Step-by-step explanation:
In word problems like this, you have to break down the problem description into math form
This is an equation description so we need a variable to work with. Let's call this variable n
1/6th of this number can be translated to:
[tex]\displaystyle \mathsf {\frac{1}{6}n}[/tex]
1/6th of this number plus one-third translates to:
[tex]\displaystyle \mathsf {\frac{1}{6}n} + \frac{1}{3}[/tex]
1/6th of this number, plus one-third returns two-thirds of that number
returns is just a fancy way of saying equal to.
So returns two-thirds of that number translates to
= two-thirds of that number
Two-thirds of the number is
[tex]\displaystyle \mathsf {\frac{2}{3}n}[/tex]
So putting all this together we get the equation
[tex]\displaystyle \mathsf {\frac{1}{6}n} + \frac{1}{3} = \frac{2}{3}\mathsf n[/tex]
We have to now solve for the equation.
Bring all the n terms to the left side and the constant(1/3) to the right to solve for n
[tex]\displaystyle \mathsf{ Subtract\:}\frac{1}{3}\mathsf {\:from\:both\:sides}[/tex]
[tex]\mathsf {\frac{1}{6}n+\frac{1}{3}-\frac{1}{3}=\frac{2}{3}n-\frac{1}{3}}[/tex]
Simplify to get
[tex]\mathsf {\frac{1}{6}n=\frac{2}{3}n-\frac{1}{3}}[/tex]
Subtract [tex]\mathsf {\frac{2}{3}}[/tex] from both sides
[tex]\mathsf {\frac{1}{6}n-\frac{2}{3}n=\frac{2}{3}n-\frac{1}{3}-\frac{2}{3}n}[/tex]
Simplify to get
[tex]\mathsf{\frac{1}{6}n-\frac{2}{3}n= -\frac{1}{3}}[/tex]
The left side term is [tex]\mathsf {\frac{1}{6}n-\frac{2}{3}n}[/tex]
Factor out the common term [tex]n[/tex]:
[tex]\mathsf {n\left(\frac{1}{6}-\frac{2}{3}\right)}[/tex]
[tex]\mathsf {\frac{1}{6}-\frac{2}{3}=-\frac{1}{2} }[/tex]
So we get our equation as
[tex]\mathsf {-\frac{1}{2}n=-\frac{1}{3}}[/tex]
Multiply both sides by -2 to get
[tex]\boxed {\mathsf {n=\frac{2}{3}}}[/tex]
plz helps me i need help on dis question
Answer: 24oz - $2.59
Step-by-step explanation: 3.29/32= 0.1028
2.59/24= 0.1079
what does “pi” equal?
Answer:
here!
Step-by-step explanation:
"In decimal form, the value of pi is approximately 3.14."
hope this helps! :)
Answer:
pi equal 3.141492654 ................. and more but that is the standard answer
Step-by-step explanation:
Which expression is equivalent to: n + 2n - 0.28n
A. 3n - 1.28
B. 2.72n
C. 3.28n
D. 2.6n - 1
PLEASE HELPP
How many kilograms are in 242,000 milligrams?
Answer:
.242 Kilograms
Step-by-step explanation:
To convert milligrams to kilograms multiply the value by .000001 or move the decimal mark 6 places to the left.
Answer:
0.242 kg
Step-by-step explanation:
divide the mass by 1e+6
can someone help me with 3x+5=11
3x+5=11
3x=6
x=2
Answer is x=2 Hope this helps
HELP, I NEED IT ASAP!!!!!!!!!!!
Which conversions involve multiplying by a positive power of 10? Select all that apply.
(1.) 6 kiloliters = ___ centiliters
(2.) 800 meters = ___ hectometers
(3.) 0.8 dekameters = ___ decimeters
(4.) 13 hectograms = ___ milligrams
A 2-column table with 7 rows. Column 1 has entries kilo, hecto, deka, unit, deci, centi, milli. Column 2 has entries 1,000, 100, 10, 1, 0.1, 0.01, 0.001.
Answer:
its A C D
Step-by-step explanation:
did it on edg and got it right
Answer:
it is 1,3 and 4
Step-by-step explanation:
Which expression is equivalent to - 1/3 (3x - 1/2)?
Answer:
-x+1/6
Step-by-step explanation:
Multiply -1/3 x 3x=-1x or -x
Multiply -1/3 x -1/2= 1/6
what is the percent of 45% of $432
Answer:
45% of 432 is 194.4
Step-by-step explanation:
Answer:
I'm not too sure what your question is asking, I'm guessing you want to know what 45% of $432 is
45% of $432 is $194.4
Step-by-step explanation:
% basically means out of 100 so 45% is 45 out of 100:
45/100(432)
19440/100
194.4
which point is on the graph of f(x) = 6x?
answer: (1,6)
Games-R-Us offers a video game rental program with a monthly fee of $10 plus $2 per game rental. Games2Go charges a $2 monthly fee plus $4 per game. Given the same to stores Games-R-Us and Games2Go, how many games would you have to rent from each company to have your total cost be the same amount?
Answer:
4 games
Step-by-step explanation:
Let the number of games rented from both be represented by: g
For Games - R - Us
Games-R-Us offers a video game rental program with a monthly fee of $10 plus $2 per game rental.
$10 + $2 × g
= 10 + 2g
For Games2Go
Games2Go charges a $2 monthly fee plus $4 per game.
$2 + $4 × g
= 2 + 4g
Hence,
Games-R-Us = Games2Go
10 + 2g = 2 + 4g
Collect like terms
10 - 2 = 4g - 2g
8 = 2g
g = 8/2
g = 4 games
Therefore, number of games you would have to rent from each company to have your total cost be the same amount is 4 games
2.85 tons when rounded to the nearest hundrenth
Answer:
Hundredth is expressed as 1/100 0r 0.01. Rounding off of 2.85 tons = 3.00 tons
Step-by-step explanation:
The table below shows the the total cost of admittance for a basketball game,y, for x students
Answer:
The 2nd one
Step-by-step explanation:
help. answer is not D
Answer:
It would be C or B
Step-by-step explanation:
can't be A because A is 0 and there is no way you could be able to draw 0 lines so it would most likely be C
What is the axis of symmetry of a quadratic and how is it related to its vertex?
Answer:
It goes through the vertex
Step-by-step explanation:
The axis of symmetry is an imaginary line that runs vertically or horizontally through the vertex depending on which way the parabola or hyperbola is facing.
Brainliest please.
Can I plz plz plz get some help
Solving 2x + 6 = 3x - 8, what is the move that will result in 2x = 3x - 14?
Answer:
6 from 2x+6=3x-8 goes to right side and becomes -6 so -6+(-8)= -14
Step-by-step explanation:
2x+6=3x-8
2x=3x-8-6
2x=3x-14
2x-3x=-14
-x=-14
x=14
Elsa and two of her closest friends went out to dinner to celebrate Elsaś birthday. The bill for dinner totaled $74.80. If they decided to leave a 20% tip, what was the amount paid by each person in Elsaś party before taxes?
Answer:
$29.92
Step-by-step explanation:
Step one:
given data
The bill for dinner totaled $74.80
Then the tip is 20%
Required
The amount paid by each person after the tip was added to the cost of the dinner
Step two:'
the amount of the tip is
=20/100*74.80
= 0.2*74.80
=$14.96
The total is 14.96+74.80
=$89.76
The number of persons including the celebrant is = 3
so each person will pay
=89.76/3
=$29.92
What is the value of x in the equation 3 - 2x= -1 5x?
Answer:
x = -2
Step-by-step explanation:
Simplifying
2x + -5x = 3x + 12
Combine like terms: 2x + -5x = -3x
-3x = 3x + 12
Reorder the terms:
-3x = 12 + 3x
Solving
-3x = 12 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
-3x + -3x = 12 + 3x + -3x
Combine like terms: -3x + -3x = -6x
-6x = 12 + 3x + -3x
Combine like terms: 3x + -3x = 0
-6x = 12 + 0
-6x = 12
Divide each side by '-6'.
x = -2
Simplifying
x = -2
The computer has rendered 960 kpx of a garden scene and renders 60 kpx more pixels each
minute.
After how many more minuted will the scenes have the same amounts rendered?
Identify the x-intercept and y-intercept
Answer:
x: -6, y: -2
Step-by-step explanation:
look at the graph, I hope this is the x and y of the lines. It says the answers, but just identify it.
Answer:
(- 6, 0 ) and (0, - 2 )
Step-by-step explanation:
The x- intercept is the value of x on the x- axis where the line crosses.
Here x = - 6 ← x- intercept or (- 6, 0) in coordinate form
The y- intercept is the value of y on the y- axis where the line crosses.
Here y = - 2 ← y- intercept or (0, - 2 ) in coordinate form
HELP PLEASEEEE PLEASEEEEE
A scientist records the motion of a dolphin as it jumps from the water. The function`h\left(t\right)=-8t^{2}+32t` models the dolphin’s height in feet above the water after t seconds.
What is the most reasonable domain for this situation? Explain your answer.
Answer:
34
Step-by-step explanation:
3esw
Answer:
The domain is 0≤t≤4
Step-by-step explanation:
The domain for this function should not include any negative t values (since that would mean the time is negative) and it should not include any t values where the height is negative (since a negative heigh doesn't make sense in the context of this problem). The t values between 0 and 4 are the only t values where both of these conditions are met.
K(x)=12(1+1)^x,k(3)
Show how you got the answer step by step
2933445 + 9398988989
Answer:
9,401,922,434
Step-by-step explanation:
Answer:
the answer its 9.401.922.434
I hope helps you and if you want and consider you can give me a brainly crown
The graph of the cube root parent function y = RootIndex 3 StartRoot x EndRoot is translated to form f(x) shown on the graph.
On a coordinate plane, a cube root function goes through (negative 7, 0), has an inflection point at (negative 6, 1), and goes through (2, 3).
The graph of the cube root parent function y = RootIndex 3 StartRoot x EndRoot is translated to form f(x) shown on the graph.
On a coordinate plane, a cube root function goes through (negative 7, 0), has an inflection point at (negative 6, 1), and goes through (2, 3).
Which equation represents f(x)?
f(x) = RootIndex 3 StartRoot x + 6 EndRoot + 1
f(x) = RootIndex 3 StartRoot x minus 6 EndRoot + 1
f(x) = RootIndex 3 StartRoot x + 6 EndRoot minus 1
f(x) = RootIndex 3 StartRoot x minus 6 EndRoot minus 1
The translation of the parent function is:
g(x) = ∛(x + 6) + 1
How do translations work?There are two types of translations, these are:
Horizontal translation:
For a function f(x), a horizontal translation of N units is written as:
g(x) = f(x + N)
If N is positive, the translation is to the left.If N is negative, the translation is to the right.Vertical translation:
For a function f(x), a vertical translation of N units is written as:
g(x) = f(x) + N
If N is positive the translation is upwards.If N is negative the translation is downwards.Here we start with the parent function:
f(x) = ∛x
And we apply two translations such that:
g(x) = ∛(x + a) + b
Such that:
g(-7) = 0
g(2) = 3
Then we have the system of equations:
∛(-7 + a) + b = 0
∛(2 + a) + b = 3
From the options, the only ones that make the first option true are:
g(x) = ∛(x + 6) + 1
Such that when evaluated in x = -7 we get:
g(-7) = ∛(-7 + 6) + 1 = ∛(-1) + 1 = 0
When evaluated in x = 2 it gives:
∛(2 + 6) + 1 = ∛(8) + 1 = 2+ 1 = 3
So the only option that meets these conditions is:
g(x) = ∛(x + 6) + 1
Which is a translation to the left of 6 units and up 1 unit.
If you want to learn more about translations, you can read:
https://brainly.com/question/17586310
Answer:
A) f(x) = RootIndex 3 StartRoot x + 6 EndRoot + 1
Step-by-step explanation:
I Just take the test
PLZ dont ignore me! I need help on this :(
Write an expression and then evaluate.
Answer:
60
Step-by-step explanation:
replace a and y with their numbers
(4+6+7+3)3
add the numbers in the bracket first
4 + 6 + 7 + 3 = 20
multiply by 3
20 x 3 = 60
ginger and matt have a total of $124.00 dollars. ginger has 1$2.00 more than 3/4 of the amount matt has. how much money does ginger have? How much does matt have?
The amount of money that Matt has will be $64.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Ginger and matt have a total of $124.00 dollars. Ginger has $12.00 more than 3/4 of the amount Matt has.
Let x be the amount that Ginger has and y be the amount that Matt has. Then the equations will be
x + y = 124 ...1
x = (3/4)y + 12 ...2
From equations 1 and 2, then we have
(3/4)y + 12 + y = 124
(7/4)y = 112
y = $64
Then the amount that Ginger has will be
x = (3/4)64 + 12
x = 48 + 12
x = $60
The amount of money that Matt has will be $64.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ1
How does the number line below represent the product of a positive number and a negative number? Drag words and numbers to explain. Each tile may be used once, more than once, or not at all. A number line from negative 5 to 0. Start at 0. Count back three times, each time by negative 1 point 5. End at negative 4 point 5. – 1.5– 3– 4.5positivenegative The number line shows 3 • = – 4.5. The number line shows three groups of a number, which results in a product.
Answer:
I cannot see the number line mentioned here, but I'll explain how you multiply negative and positive using tiles and number line.
To multiply positive and a negative nunber, for instance, 2(–3), you'll think of it as 2 groups of negative one in three's. Using tiles you have
–1 –1
–1 –1
–1 –1
Two groups of negative one in three's, adding that up we have 6.
Using number line. See 2(–3), for instance, as moving twice in intervals of –3. If I am to multiply that, starting from 0, if I move once, I'll land at –3, if I move one more time, I'll land at –6. Since I am to move twice, that's the required answer.
What’s the answer thank you
Answer:
C
Step-by-step explanation:
Division can be done by "cross multiplying", or multiplying the first equation by the reciprocal of the second equation.
In answer c, the first term remains the same, but the second is the reciprocal of the original. Also, the operator has changed from division to multiplication, so C is the correct answer.
A laptop is on sale for 18% off the original price of $450. What is the sale price?
Answer: 369
Step-by-step explanation:
This is becuase 18% of 450 is 81, and 18% off means you subract the 81 leaving 369.