How u solve these I don’t get it :h

How U Solve These I Dont Get It :h

Answers

Answer 1

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 percent is 2 minutes 24 seconds of 1 hour


Pls explain with steps​

Answers

..........................

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

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.

( 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 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 :)

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

This answer is x= -6

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.

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:

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:

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

(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

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:

please help me with this question

Answers

The answer is mr meters long on the right

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

find the value of x and y​

Answers

The answer is in the above picture.

solve for x in the equation:
x^2 - x = 20

Answers

X=5
cuz 5^2=25
25-5=20

Express 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:

https://brainly.com/question/13199883

#SPJ6

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^_^

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

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= 10

Answer:

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

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

The answer is 5 5 dollar bills

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

You subtract the cost of the paper goods from the budget first 65-37.5, which equals 27.5, then you divide 27.5 by. 75, which equals 36.6 repeated, but you can't buy half a set of cutlery, so it's just 36.

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

#SPJ2

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).

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
Зу — 3x = 21
PLS HELP ASAP

Answers

Answer:

y = x + 7

Step-by-step explanation:

3y - 3x = 21

3y/3 - 3x/3 = 21/3

y = x + 7

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 units

Step-by-step explanation:

Since B is the midpoint, we have:

AB = BC = AC/2

Substitute and solve for x:

x + 5 = (3x - 6)/23x  - 6 = 2x + 103x - 2x = 10 + 6x = 16

Find BC:

BC = AB = 16 + 5 = 21

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 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

Help plsssssssssssssssssss

Answers

1. 4/4 Equal to
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.

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]

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:

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