Answers
9514 1404 393
Answer:
x = 2
Step-by-step explanation:
As you have indicated, you want to multiply both sides of the equation by 6x.
[tex]\dfrac{1}{x}=\dfrac{1}{6}+\dfrac{1}{3}\qquad\text{given}\\\\\left(\dfrac{1}{x}\right)\cdot6x=\left(\dfrac{1}{6}+\dfrac{1}{3}\right)\cdot6x\qquad\text{multiply by 6x}\\\\6=x+2x\qquad\text{simplify}\\\\6 = 3x\qquad\text{collect terms}\\\\\dfrac{6}{3}=x\qquad\text{divide by the coefficient of $x$}\\\\\boxed{x=2}[/tex]
_____
Additional comment
The denominator on the left is x. The least common denominator on the right is 6. To clear fractions, you can multiply by the product of these values: 6x. Doing this gave us the one-step linear equation 6 = 3x.
As with any operation performed on an equation, the operation must be performed on both sides of the equation. Here, we multiply both sides by 6x. It is a bit unconventional and confusing to show that multiplication as you have shown it in your figure. Usually, it would be shown as in the 2nd line of the solution, above.
Related Questions
what is seven over four as a mixed number?
Answers
Answer:1 3/4
Step-by-step explanation:
Answer:7/4=1 3/4
Step-by-step explanation:
it is like this,7,we can think of 8,which would 2,but it is 7,so we drop down to 1 whole.Then we have 3 remaining,which makes 1 and 3/4
Question 3(Multiple Choice Worth 2 points)
Write the equation 4x – 3y = 12 in the form y = mx + b.
Oy = t - 4
o
y = 3x – 12
o
IN
Y
ft +4
Oy = -x - 4
Answers
Answer:
y = [tex]\frac{4}{3}[/tex] x - 4
Step-by-step explanation:
Given
4x - 3y = 12 ( subtract 4x from both sides )
- 3y = - 4x + 12 ( divide terms by - 3 )
y = [tex]\frac{4}{3}[/tex] - 4 ← in the form y = mx + b
two complementary angels are in the ratio 4:5, find the angles.
Answers
Answer:
1 st angle = 40
2 nd angle= 50
Step-by-step explanation:
let 1 st angle be 4x and 2 nd angle be 5x4x +5x =90 9x =90 x=90/9 x= 10Answer:
First angle = 40
Second angle = 50
Step-by-step explanation:
let 1st angle be 4x and 2nd angle be 5x
4x + 5x = 90 [Complementary means the sum of angles is 90]
=> 9x = 90
=> x = 90/9
=> x = 10
First angle = 4x = 4(10) = 40
Second angle = 5x = 5(10) = 50
Help plsssssssssssssssssss
Answers
2. 7/5 More than
3. 2/3Less than
If the number is less than a 1, it’s going to be less. If the number is greater than 1 it will be more. I’m this case, you can just look at what’s being multiple and apply that rule- so just excuse the 7/75.
solve for x in the equation:
x^2 - x = 20
Answers
cuz 5^2=25
25-5=20
simplify (1+x)^3/2-(1+x)^1/2
please explain with steps
Answers
Answer:
Step-by-step explanation:
[tex]\sqrt{(1+x)^3} -\sqrt{1+x} \\\\=(1+x)*\sqrt{1+x} -\sqrt{1+x} \\\\=\sqrt{1+x} (1+x-1)\\\\=x\sqrt{1+x} \\\\[/tex]
( show your work ) The banner that football players run through is 18 feet high and 30 feet long. How much paper is needed to
construct a banner ?
Answers
Answer:
540 square feet worth of paper
Step-by-step explanation:
This is an area problem. Area is length multiplied by width. The provided length is 30 feet and the provided width is 18 feet. When they are multiplied, you get 540 square feet. Note that the height is the width in this context because if you laid the banner down, 18 would be the width. The banner is being held up, so the 18 feet is called the height.
please help me with this question
Answers
Show that 3x^2 -2x + 1 is always greater than 0.
( This is an Additional Math Question )
Answers
Answer:
3x^2 -2x + 1 =3(x^2-2/3x+1/3)=3(x-1/3)^2+2/9*3= 3(x-1/3)^2+2/3
(x-1/3)^2 is greater or equal to zero
3(x-1/3)^2 is greater or equal to zero
and 2/3 is greater than zero
So there sum is greater than zero
Proved
Step-by-step explanation:
3x^2 -2x + 1 =3(x^2-2/3x+1/3)
Consider x^2-2/3x+1/3
Remember that (a-b)^2 =a^2-2ab+b^2
x^2=a^2
a=x
-2/3x= -2*x*b
b=1/3
S0 (x-1/3)^2= x^2-2/3x+1/9
x^2-2/3x+1/3= x^2-2/3x+1/9+1/3-1/9= (x-1/3)^2+2/9
3x^2 -2x + 1 =3(x^2-2/3x+1/3)=3(x-1/3)^2+2/9*3= 3(x-1/3)^2+2/3
(x-1/3)^2 is greater or equal to zero
3(x-1/3)^2 is greater or equal to zero
and 2/3 is greater than zero
So there sum is greater than zero
Proved
What is the vertex of the parabola with the equation y=15x2+2x−8?
Answers
Answer:
a =15, b=2
Axis of Symmetry = [tex]\frac{-b}{2a}[/tex]
[tex]=\frac{-2}{2 * 15}[/tex]
= [tex]-\frac{1}{15}[/tex]
To find the y-value for the vertex sub in the axis of symmetry for x
[tex]y=15(-\frac{1}{15} )^{2}+2(-\frac{1}{15} )-8\\\\=-\frac{121}{15}[/tex]
∴ Vertex [tex](-\frac{1}{15}, -\frac{121}{15} )[/tex]
Step-by-step explanation:
PLEASE HELP TURNING A SENTENCE INTO A EQUATION
44 is the product 4 and Greg's height. Use the variable g to represent Greg's height
Answers
Step-by-step explanation:
do you happen to have a photo reference your sentence is a bit confusing
Answer:
44 = 4 · g OR g · 4 = 44
Step-by-step explanation:
So first we need to know what a variable is...
A variable is an unknown number in a math sentence
Knowing that we can write the equation.
"44 is the product 4 and Greg's height. Use the variable g to represent Greg's height"
Since we do not know Greg's height that is what we will use variable g to substitute it.
"44 is the product 4 and g"
Now all we have to do is convert this into an equation
(Note: Whenever you see product of something know that it means that you need to multiply)
So your final answer is...
44 = 4 · g
(Explanation: Since it says 44 is the product of then it means it is the answer so we will put an equal sign)
Hope this helps :)
Please help me out solve it and tell me how you got that answer so I can understand please!
Answers
The solution for s in the given equation is [tex]s = C-nD[/tex]
The question seems to be incomplete
Here is the complete question:
Solve for s in this equation [tex]D= \frac{C-s}{n}[/tex] Depreciation.
To solve for s, that means we should make s the subject of the equation
From the given equation,
[tex]D= \frac{C-s}{n}[/tex]
To solve for s, first multiply both sides by n to clear the fraction
We get
[tex]n\times D= n \times \frac{C-s}{n}[/tex]
Then,
[tex]nD = C - s[/tex]
Now, add s to both sides
[tex]nD + s= C - s+s[/tex]
[tex]nD+s = C[/tex]
Then, subtract nD from both sides
[tex]nD-nD+s = C-nD[/tex]
∴ [tex]s = C-nD[/tex]
Hence, the solution for s in the given equation is [tex]s = C-nD[/tex]
Learn more here: https://brainly.com/question/21406377
find the value of x and y
Answers
The answer is in the above picture.
8. What value added to x2
8x would complete the square?
-4
16
64
-16
Answers
Answer:
16
Step-by-step explanation:
x^2 -8x
Take the coefficient of x
-8
Divide by 2
-8/2 = -4
Square it
(-4)^2 = 16
Add 16
HelpITS DUE TMR PLZ HELP AHHHHHHHHH
Answers
Answer:
A. 1.50 x 12 = 13.5 for 12 gallons
B. i dont know sorry
C. 12.60 divided by 1.50 = 8.4 gallons
Step-by-step explanation:
Christine received a $15.00 gift card or a photo center. She used it to buy prints that cost 7 cents each. The remaining balance, B ( in dollars), on the card after buying x prints is given by the following function. B (x) = 15.00-0.07x. what is the remaining balance of the card if Christine bought 40 prints
Answers
Answer:
Remaining balance is $12.2
Step-by-step explanation:
see all steps in picture.
Jessica paid $170 for an item that was originally priced at $260. What percent of the original price
did Jessica pay? Round your answer to the nearest tenth of a percent. Jessica paid
% of
the original price.
Answers
Answer:
260x = 170
x=170/260 * 100% = 65.4 %
Step-by-step explanation:
what percent is 2 minutes 24 seconds of 1 hour
Pls explain with steps
Answers
..........................
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
Зу — 3x = 21
PLS HELP ASAP
Answers
y = x + 7
Step-by-step explanation:
3y - 3x = 21
3y/3 - 3x/3 = 21/3
y = x + 7
there are initially 1000 bacteria in a culture. The number of bacteria double each hour. the number of bacteria N present after t hours is given by N=1000 (2)t. how long will it take the culture to increase to 30,000 bacteria.
Answers
Answer:
FREEEEEEE POINTSSSSSSS
Step-by-step explanation:
Given function, r(x) = x/3, determine value of x for when r(x) = - 2
Answers
Answer:
x = -6
Step-by-step explanation:
r(x) = -2
x/3 = -2
x = -2 * 3 = -6
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Find the coordinates of the point 7/10 of the way from A to B.
Answers
Answer:
The coordinates are (6.5, 1.7).
Step-by-step explanation:
The difference between A and B's x-coordinate is 15. 7/10 of this is 10.5, which added to -4 gives us an x-coordinate of 6.5.
The difference between A and B's y-coordinate is 11. 7/10 of this is 7.7, which added to -6 gives us a y-coordinate of 1.7.
Therefore, the coordinates are (6.5, 1.7).
PLS HELP WILL MAKE FIRST RIGHT ANSWER GETS BRAINLIEST
Answers
Step-by-step explanation:
17. 2(a+3b)-3(4a+b)
2a+6b-12a-3b
2a-12a+6b-3b
-10a+3b
correct answer is B.-10a+3b
18. simplify (,3a³-7a²+a)+(-6a³+4a²+8)
3a³-6a³-7a²+4a²+8+a
-3a³-3a³+a+8
correct answer is D. -3a³-3a³+a+8
solve the equation
5(2x + 8) = - 33 +53
Answers
Answer:
5(2x + 8) = –33 + 53
10x + 40 = –33+53
10x= –33+53–40
10x = –20
x = –20/ 10
x = – 2
I hope I helped you^_^
Janet has a $65 budget to buy paper goods and plastic cutlery for an impromptu birthday party. She determines that the paper goods will cost $37.50. How many sets
of cutlery can she purchase if each set costs $0.75?
Answers
Final answer 36.
Janet can purchase 36.67 sets of cutlery if each set costs $0.75.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation.
Janet has $65 to spend on paper goods and cutlery, and the paper goods will cost $37.50,
So, she has $65 - $37.50 = $27.50 remaining to spend on cutlery.
Each set of cutlery costs $0.75,
So, Janet can purchase sets of cutlery :
⇒ $27.50 / $0.75
Apply the division operation, and we get
⇒ 36.67
Since it's not possible to buy a fraction of a set, Janet can only buy 36 sets of cutlery.
Therefore, she can purchase 36.67 sets of cutlery.
To learn more about the division operation click here :
brainly.com/question/25870256
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One-sixth of the smallest of three consecutive even
integers is three less than one-tenth the sum of the
other even integers. Find the integers. this
#49 with work pleasee
Answers
Answer:
The three even, consecutive integers are 72, 74, and 76.
Step-by-step explanation:
Let a be the first even integer.
Then the other two consecutive integers, b and c, will be represented by:
[tex]\displaystyle b = a + 2 \text{ and } \\ \\ c = b + 2 = (a + 2) + 2 = a + 4[/tex]
One-sixth of the smallest (that is, a) is three less than one-tenth the sum of the other two even integers (that is, b and c).
Therefore:
[tex]\displaystyle \frac{1}{6} a = \frac{1}{10}\left( b +c\right) - 3[/tex]
Solve for a. Substitute:
[tex]\displaystyle \frac{1}{6} a =\frac{1}{10}\left((a+2)+(a+4)\right) - 3[/tex]
Simplify and solve for a:
[tex]\displaystyle \begin{aligned} \frac{1}{6} a &= \frac{1}{10}(2a + 6) - 3 \\ \\ \frac{1}{6} a &= \frac{1}{5} a + \frac{3}{5} - 3\\ \\ -\frac{1}{30} a &= -\frac{12}{5} \\ \\ a &= 72\end{aligned}[/tex]
Hence, the first even integer is 72.
Therefore, the two other consecutive even integers must be 74, and 76.
In conclusion, the three even, consecutive integers are 72, 74, and 76.
Mike paid $6 for a fruit drink, $10 for a sandwich, $3 for chips, and $5 for dessert. Mike can only pay with 5 dollar bills will he need to cover the total amount?
Answers
B is the midpoint of AC. If AB = x + 5 and AC = 3x - 6, find BC.
Answers
Hey there! I'm happy to help!
We see that at AB is halfway across our line. We see that AC is the total line.
So, to find the other half, we have to subtract AB from AC, which will give us the value of BC.
We first will subtract our x values.
3x-x=2x
And then we subtract our numbers.
-6-5=-11
So, BC is 2x-11.
Have a wonderful day and keep on learning! :D
Answer:
21 unitsStep-by-step explanation:
Since B is the midpoint, we have:
AB = BC = AC/2Substitute and solve for x:
x + 5 = (3x - 6)/23x - 6 = 2x + 103x - 2x = 10 + 6x = 16Find BC:
BC = AB = 16 + 5 = 21Express as a trinomial.
(x + 6)(2x + 4)
Answers
Answer:
2x²+16x + 24
Step-by-step explanation:
(x + 6) ( 2x + 4)
x ( 2x + 4) + 6 ( 2x + 4)
2x² + 4x + 12x + 24
2x² + 16x + 24
Hope this helps
The polynomial function [tex](x + 6)(2x + 4)[/tex] expressed as a trinomial is [tex]2x^2 + 16x + 24[/tex].
Given data:
The polynomial function is represented as A.
Now, the value of [tex]A=(x + 6)(2x + 4)[/tex].
On simplifying the equation:
From distributive property to multiply the terms:
[tex]A=x * 2x + x * 4 + 6 * 2x + 6 * 4[/tex]
[tex]A=2x^2 + 4x + 12x + 24[/tex]
On simplifying the equation:
[tex]A=2x^2 + 16x + 24[/tex]
Hence, the trinomial is [tex]2x^2 + 16x + 24[/tex].
To learn more about polynomial equations, refer:
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(c+ d4)2 – (c + d), if c= -1 and d = 2
Answers
Answer:
224
Step-by-step explanation:
If c = 1 and d = 2:
(-1³ + 2⁴)² - (-1 + 2)³
(-1 + 16)² -(1)³
(15)² -1
225 -1
224