Is 8 a unique solution to the equation 3(x-6) =

3x/4

Answers

Answer 1

Answer:

yes

Step-by-step explanation:

3(x - 6) = [tex]\frac{3x}{4}[/tex] ( multiply both sides by 4 to clear the fraction )

12(x - 6) = 3x , distribute left side

12x - 72 = 3x ( subtract 3x from both sides )

9x - 72 = 0 ( add 72 to both sides )

9x = 72 ( divide both sides by 9 )

x = 8

x = 8 is the only solution and is therefore unique

Answer 2

Answer:

8

Step-by-step explanation:


Related Questions

What is the approximate area of a circle with a diameter of 10in

Answers

Answer:

A≈78.54in²

Step-by-step explanation:

Can I have brainliest pls?

The sales tax in your city is 8.8\%8.8%8, point, 8, percent, and an item costs \$63$63dollar sign, 63 before tax.
How much tax would you pay on that item?
Round to the nearest hundredth or cent.

Answers

Answer:

68.54 dollars is you answer you would do 63 times .088 and add 63 to your answer

Step-by-step explanation:

Find the area of the triangle.
8 in.
12 in.
in
?
The area of the triangle is

Answers

Answer:

48 in²

Step-by-step explanation:

Hello!

Area of a Triangle: [tex]A = \frac12 b*h[/tex]

Given that the base and height are 8 and 12, we can plug it into the formula to solve for the area.

Find the area[tex]A = \frac12 b*h[/tex][tex]A = \frac12 (8*12)[/tex][tex]A = \frac12 (96)[/tex][tex]A = 48[/tex]

The area of the triangle is 48 in².

[tex]\huge\text{Hey there!}[/tex]


[tex]\huge\textbf{Formula for finding area of triangle:}[/tex]

[tex]\mathsf{\dfrac{1}{2}\times \bold{b}ase\times \bold{h}eight}[/tex]


[tex]\huge\textbf{Your equation should look like:}[/tex]
[tex]\mathsf{\dfrac{1}{2}\times 8 \times 12}[/tex]


[tex]\huge\textbf{Making it easier to solve:}[/tex]

[tex]\mathsf{\dfrac{1}{2}\times 8 \times 12}[/tex]

[tex]\mathsf{= \dfrac{1}{2}\times \dfrac{8}{1} \times \dfrac{12}{1}}[/tex]

[tex]\mathsf{= \dfrac{1\times8\times 12}{2\times1\times1}}[/tex]

[tex]\mathsf{= \dfrac{8\times 12}{2\times1}}[/tex]

[tex]\mathsf{= \dfrac{96}{2}}[/tex]

[tex]\mathsf{= \dfrac{96\div 2}{2\div 2}}[/tex]

[tex]\mathsf{= \dfrac{48}{1}}[/tex]

[tex]\mathsf{= 48\div1}[/tex]

[tex]\mathsf{= 48}[/tex]


[tex]\huge\textbf{Therefore, your \boxed{answer} should be:}[/tex]

[tex]\huge\boxed{\frak{48\ in^2}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

Amy buys 16 envelopes for 14p each and pays with a £5 note.
How much change does she get?
Give your answer in pounds, £.

Answers

Answer:

  £2.76

Step-by-step explanation:

The cost of Amy's purchase is ...

  16×(£0.14) = £2.24

Her change from £5.00 is ...

  £5.00 -2.24 = £2.76 . . . . Amy's change

the deer population in georgia was 450,000 in 2010, and the population doubles every 5 years. in what year will the deer population in georgia reach 1 million

Answers

Answer:

We know that in 2020 the population of deer will be 900,000 based on the given numbers. In another 5 years the population will be over 1 million (1,350,000) in order to calculate when it will reach 1 million we need to see how much growth is gained per year. I believe to obtain that information we will need to divide 450,000 by 5 that equals 90,000 a year. So if I’m 2020 the population of deer will be 900,000 than add 90,000 until you reach your 1 million marker. In this case 2021 would be 990,000 thousand so 2022 would be 1,080,000. So your answer should be year 2022. Hope that helps

What is the y-coordinate of the y-intercept of function d(x) ? y=-8(X-(5/2) (X+3)

Answers

Answer:

(0,60)

Step-by-step explanation:

I hope I plugged in your equation the right way as you typed it, but this is where the line meets the y coordinate, (0,60)

The temperature at 6 am was −3°C. By lunch time the temperature had risen by 5°C. What was the temperature at lunch time?

Answers

Answer:

2°C

Step-by-step explanation:

just add 5 to -3

-3+5=2  

so ur answer is 2

It is normal for some newborn babies to lose weight in their first week of life. Baby Todd's birth weight was 10 pounds. One week after being born, he is 10% lighter. What is Todd's current weight? pounds Submit

Answers

Answer:

9 pounds

Step-by-step explanation:

100% - 10% = 90%

90% -> .9

[Solving] 10 * .9 = 9

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

9 pounds

Step-by-step explanation:

10% of 10 pounds is 1 pound so baby Todd's current weight is 9 pounds.

Help?????????????????

Answers

Answer:

the first option is the answer

Step-by-step explanation:

How do you get the volume of a 3d object? How could the way to calculate volume help certain people like construction workers?
Me will give brainliest to the person whose answer is the best.

Answers

Answer:

The way to calculate the volume of a 3D object like a cube is by multiplying the length times the width and the height or you could also use base times the height to find the volume. The way to calculate the volume could help construction workers to see how much area the building takes up and a lot of other stuff.

Step-by-step explanation:

4.) You paid $51 for four tickets to a play. What is the unit price?
O $12.75
$12.50
O $13.00
$12.00

Answers

Answer:

$12.75

Step-by-step explanation:

To find the unit price of something divide the cost by the amount of the Item

Here is a scale drawing of a garden.
Tom wants to plant a tree in the garden according to the following rules:
it must be 4 m from A and 2 m from CD.
Place a cross where Tom can plant the tree.

Answers

The location of the tree can be found by taking point A as the origin of

coordinate plane, represented by the drawing area.

Response:

The the graph showing the location where Tom can plant the tree is attached.

Method used to find the location for planting the tree

The area Tom wants to plant the tree in the garden is given by the following rule;

Distance of the tree from A = 4 m

Distance of the tree from CD = 2 m

1 cm in the scale drawing = 2 m

Solution:

Taking point A as the origin, we have;

The location of the tree from point A is given by the radial length, r = 2 cm.

The distance of the tree from the line CD is given by the line, y = 1.5 cm,

given that 1 cm from CD = 1.5 cm from point A

Therefore, we have;

The y-coordinate of the location of the tree is; y = 1.5

Equation of the circular distance from A is; x² + y² = r²

Where;

r = 2

y = 1.5

We have;

x² + 1.5² = 2²

x² = 2² - 1.5² = 1.75

x = √(1.75)

The coordinate of the location of the tree from A is; (√(1.75), 1.5)

Please find attached, the graph showing the location where Tom can plant the tree in relation to point A.

Learn more about the coordinate plane here:

https://brainly.com/question/11252677

What is the dividend when the divisor is 8 and the quotient is 96 with a remainder of 3?
dividend:
Explain how you found the dividend.

Answers

Answer:

13

Step-by-step explanation:

13÷8=96r3 आओऋअःनबभसजहलव

The required dividend would be 765 when the divisor is 8 and the quotient is 96 with a remainder of 3.

What is the Quotient?

A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.

Let the required dividend would be x

The divisor is 8 and the quotient is 96 with a remainder of 3 which is given in the question

As per the given question, the solution would be as:

⇒ x ÷ 8 = 96 r3

⇒ x  + 3 = 96 × 8

⇒ x + 3 = 768

⇒ x = 768 - 3

⇒ x = 765

Therefore, the required dividend would be 765.

Learn more about the quotient here:

brainly.com/question/27796160

#SPJ2

please help me the last question is wrong

Answers

Answer:

                         

Step-by-step explanation:

I WILL GIVE BRAINLIEST TO CORRECT ANSWER
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.
y=−16x^2+146x+137

Answers

Answer:

470.1

Step-by-step explanation:

Since this is a parabola that opens down, the maximum height is where the graph has a horizontal tangent line.

This is where the derivative=0

Since it is a parabola that opens down, we do not need to test the sides of the point where the derivative=0 as the vertex is a local maximum and the only point with a horizontal tangent.

y=[tex]-16x^2+146x+137[/tex]

y'=[tex]-32x+146[/tex]=0

-32x+146=0

x=[tex]\frac{146}{32}[/tex]=[tex]\frac{73}{16}[/tex] This is the x-coordinate of the vertex

Now plug this back into the original equation to find the maximum height.

f(73/16)=[tex]-16(\frac{73}{16})^2+146(\frac{73}{16} )[/tex]+137

=[tex]\frac{-73^2}{16} +666.125+137[/tex]

=-333.0625+666.125+137

=470.0625

To the nearest tenth this is 470.1

Please help and no links :)

Answers

Answer:

sorry I don't know the answer

Gavin has 50 tokens and continues to ride the roller coaster 3 times every hour (the roller costar costs 6 tokens to ride). Gibson has 12 tokens and finds 2 more tokens on the ground each hour. How long until they have the same number of tokens?

Answers

Answer:

have a good day

Step-by-step explanation:

shape it helps Bye

The cost x of the Sennet family’s meal at a restaurant is $172.65, and they tip 20%. Write and use an equation to find the total cost y of the dinner.

Answers

Answer:

the answer would be 196.25

Step-by-step explanation:

The length of the base of an isosceles triangle is x. The length of a leg is 2x-6. The perimeter of the triangle is 38. Find X

Answers

Answer:

x = 10

Step-by-step explanation:

Perimeter of a triangle = the sum of the three sides.    

In an isosceles the legs are equal (2x - 6) and the base is x

Perimeter = (x) + (2x - 6) + (2x - 6)

          38  = 5x - 12

        38 + 12 = 5x

            50 =   5x

              [tex]\frac{50}{5} = \frac{5x}{5}[/tex]

               10 = x

   

A jar contains 450 beans. Of all beans, 1/5 are mung beans and the rest are pinto beans. What is the ratio of mung beans to pinto beans?

PLEASE HELP ME!​

Answers

Answer is  1:4

=======================================================

Explanation:

1/5 of the beans are mung, so 4/5 of the beans are pinto. The two fractions add to 5/5 = 1.

Ignore the denominators and focus on the numerators for each fraction. We have 1 mung and 4 pinto. The values are read in this order to form the ratio 1:4 which is our answer. We cannot reduce this ratio any further.

The order is important because saying 4:1 would mean that we have 4 mung beans and 1 pinto, when it's the other way around.

Side note: The value 450 isn't needed. We could easily change it to any other multiple of 5 and get the same exact answer.

I NEED HELP!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

123

rail fares go up by 10%, and josie’s new season ticket to london costs £1342. calculate how much more she has to pay now than she did before the 10% increase was added

Answers

Answer:

£134.2 more

Step-by-step explanation:

Divide 1342 by 100

Then you get 13.42

Times that by 10 and £134.2 is 10%

What is a quarter of 2770?

Answers

Answer:

692.5

Step-by-step explanation:

Answer:

it's 692.5

I hope it's right

What expressions are equivalent to -6+4q+(-6q)

Answers

Simplified answer:

-6 - 2q

Step-by-step explanation:

-6 + 4q + (-6q)

=> -6 + 4q - 6q

=> -6 + (-2q)

=> -6 - 2q

I think this is the expression. Try to simplify your options and see if one of them equal to -6 - 2q. Hoped this helped.

Jenny played four games of golf. For these games her modal score was 76 and her mean score was 75. Her range of scores was 10. What were her scores for the four games?​

Answers

75 x4=300(total scores)
Modal score is 76, so at least two of the 4 game scores must be 76.
That’s all I’ve got:)

49 kilogram of baking soda costs $2. How much does 1 kilogram of baking soda cost?

Answers

Answer:

4.5

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

4.5

valentina wants to grow out her hair. it grows 0.5 inches per month, and it is currently 9 inches long. write an equation that shows the relationship between that shows the relationship between the number of months that valentina grows out her hair, x, and the length of her hair in inches, y

Answers

Answer:

y=0.5x+9

Step-by-step explanation:

i need some help with simple algebra! using pemdas :p

Answers

Answer:

the answer is 69

Step-by-step explanation:

the step by step explanation is that 2+2+4

pemdas

perenthasy

exponents

multiplication

division

adition

subtraction

Select all that are solutions to the inequality below:
3x - 15 > 3

Answers

Answer:

solutions are all values greater than 6

Step-by-step explanation:

add 15 to each side to get:

3x > 18

divide each side by 3 to get:

x > 6

solutions are all values greater than 6

The graph of the piecewise function f(x) is shown.
1 f(x)

Answers

Answer:

In a word processing document or on a separate piece of paper, use the guide to construct a two-column proof proving that lines l and m are parallel.

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