write an equation for the following problem

Answer:

[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]

Step-by-step explanation:

Given

[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27}[/tex]

Required

Solve

Change / to *

[tex]\frac{3x + 8}{36 - 2x} * \frac{3x^2 - 27}{27x^2 + 72x}[/tex]

Factor out 3

[tex]\frac{3x + 8}{36 - 2x} * \frac{3(x^2 - 9)}{3(9x^2 + 24x)}[/tex]

[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{(9x^2 + 24x)}[/tex]

Factorize:

[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{3x(3x + 8)}[/tex]

Cancel out 3x + 8

[tex]\frac{1}{36 - 2x} * \frac{(x^2 - 9)}{3x}[/tex]

Factorize:

[tex]\frac{1}{2(18 - x)} * \frac{(x^2 - 9)}{3x}[/tex]

Combine

[tex]\frac{x^2 - 9}{2*3x(18 - x)}[/tex]

[tex]\frac{x^2 - 9}{6x(18 - x)}[/tex]

Express the numerator as a difference of two squares

[tex]\frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]

Hence:

[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]

Answer:

105

Step-by-step explanation:

Answer:

7 penguins are in the water.

21 penguins in all.

Step-by-step explanation:

14 penguins on the rocks.

Half of them equals 7 are in the water swimming.

7 + 14 = 21

7 penguins are in the water.

21 penguins in all.

The number of penguins in water = 7 penguins

The total number of penguins  = 21 penguins

Word problems in mathematics involve a crucial understanding of solving real-life cases with the use of arithmetic operations.

From the information given:

Thus, the number of penguins in water = 7 penguins

The total number of penguins overall = penguins in water + penguins on the rock

The total number of penguins overall = 7 + 14

The total number of penguins overall = 21 penguins

Learn more about word problems here:

https://brainly.com/question/25693822

Answer:

18 is 14% of 128.5714

Step-by-step explanation:

it's 77.78

Step-by-step explanation:

14: 18*100 =

(14*100): 18 =

1400: 18 = 77.78

Now we have: 14 is what percent of 18 = 77.78

Question: 14 is what percent of 18?

Percentage solution with steps:

Step 1: We make the assumption that 18 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$x.

Step 3: From step 1, it follows that $100\%=18$100%=18.

Step 4: In the same vein, $x\%=14$x%=14.

Step 5: This gives us a pair of simple equations:

$100\%=18(1)$100%=18(1).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{18}{14}$100%x%=1814

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{14}{18}$x%100%=1418

$\Rightarrow x=77.78\%$⇒x=77.78%

Therefore, $14$14 is $77.78\%$77.78% of $18$18.

Answer:

2(3)-8

=-2

45-4.5

=40.5

32+2(4)-7

=33

Answer:

1.x37

2.66y

3.59g

Step-by-step explanation:

so you divied and subtract

you do the same

but add for the last

Answer:

42

Step-by-step explanation:

25+2(12)-7

25 + 24 - 7

49 - 7

42

[tex] \huge \color{Red} Answer: [/tex]

[tex]25 + 2(3 \times 4 ) - 7 = [/tex]

[tex]25 + 2 \times 12 - 7 = [/tex]

[tex]25 + 24 - 7 = [/tex]

[tex]49 - 7 = 42[/tex]

[tex] \huge \color{Blue} Explaination: [/tex]

First, Multiply the numbers inside the parentheses.

Second, Also Parentheses is also a Multiply sign so Multiply 12 and 2.

Third, Follow the left to right rule so add 25 and 24.

Lastly, Subtract the last number.

[tex] \large \color{Purple} Rules \: of \: PEMDAS:[/tex]

If you see a Parentheses do them first then Exponent next Multiplication and so forth.

[tex] \large \color{Green} PEMDAS \: stands \: for:[/tex]

Answer:

12am

Step-by-step explanation:

Add 6 hrs to 6pm, you will get 12am

Answer: 12

Step-by-step explanation:

Answer:

4th dot

Step-by-step explanation:

because

Answer:

x = -3

Step-by-step explanation:

using the slope formula y2 - y1/x2 - x1 = 1 so

-6 - 1 / x - 4 = 1, so -7/-7 = 1 so x has to be -3 to make the bottom = -7

Answer:

4.66666666667.

Step-by-step explanation:

3+5+6=14, and 14 divided by 3 (the number of numbers given) is 4.66666666667.

Answer: -6 ≤ x < 4

Step-by-step explanation:

Open circles on a graph mean that that point is not included

Filled in circles on a graph mean that that point is included

As a result, the end point (-6, -6) is included while (4, 8) is not

The domain is all possible x-values so the graph can be anywhere from:

-6 ≤ x < 4

Note that there are no possible values for the x-value of 4

Answer:

C

Step-by-step explanation:

Answer:

Perimeter = 82 units

Step-by-step explanation:

Find:

Perimeter

Computation:

Unknown height = 13 + x

So,

25² = x² + 24²

x = 7

So,

Unknown height = 13 + 7

Unknown height = 20 unit

Perimeter = 25 + 24 + 13 + 20

Perimeter = 82 units

Answer:

42 = C (y ≤ 2)

43 = G (-x + 4x - 2)

44 = B (Its axis of symmetry is x = 14)

45 = H (x = 2)

Answer:

25 degrees

Step-by-step explanation:

70 degrees times 2 to get 140 for the outside arc on the left, then add 140 plus 90 plus 80 to get 310, then do 360-310 to get 50, then divide that by 2 to get angle RTV which is 25 degrees.

Answer:

Rodger and Trish will finish the homework together for 30 hours. x=30

Step-by-step explanation:

This is a very simple problem. Its an lcm problem (lcm means lowest common multiple)

To find the lcm you must find the common number the two numbers 5 and 6 share which is 30. Hope that helps, sorry your having a bad day. (i am too bad days suck)

6    5

12   10

18   15

24   20

30   25

       30

And the file the other person shows never work, they are bots (robots) who waste your time answering your questions and waste your brainly points. ugh it gets to annoying.

Roger and Trish can finish 11x/30 of the homework if they work together for x hours.

An expression is combination of variables, numbers and operators.

Let the total amount of work in the math homework is 1.

In one hour, Roger can finish 1/6 of the work, and Trish can finish 1/5 of the work. So, working together for one hour, they can finish:

(1/6) + (1/5)

= (5/30) + (6/30)

= 11/30 of the work.

If they work together for x hours, then they will finish:

x × (11/30) = 11x/30

of the work in x hours.

Therefore, Roger and Trish can finish 11x/30 of the homework if they work together for x hours.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ3

Answer:

i think it's 10%

Step-by-step explanation:

Answer:

A=4

B=3

C=2

D=1

Step-by-step explanation:

Answer for A:

[tex]a = \frac{5 - 3b}{2} [/tex]

Answer for B:

[tex]b = \frac{5 - 2b}{3} [/tex]

Answer:

[tex]a = b + 5[/tex]

hope it helps.

Answer:

True

Step-by-step explanation:

Answer: the answer is true sorry if its wrong

Step-by-step explanation:

have a nice day buddy

Answer:

w=8

Step-by-step explanation:

i took the k12 test

Step-by-step explanation:

babababababababbababavavabababababa

Answer:

[tex]Volume = 960in^3[/tex]

Step-by-step explanation:

Given

Empty Tank

[tex]Length = 24in; Width=10in; Height = 12in[/tex]

When filled with water, the height is:

[tex]Height = 8in[/tex]

Required

Determine how many more cubic inches needed

First, we calculate the difference between the height of the tank and the height of the water.

[tex]H = 12in - 8in[/tex]

[tex]H = 4in[/tex]

The volume of water to full the tank is then calculated as:

[tex]Volume = Length * Width * H[/tex]

[tex]Volume = 24in * 10in * 4in[/tex]

[tex]Volume = 960in^3[/tex]

Answer:

the last one

Step-by-step explanation:

[tex]\sqrt[3]{64}[/tex] and  [tex]16^{3/2}[/tex] expressions have the greatest value.

What is square root and cube root of a number?

Square root of a number results a number that when square, gives us the previous number.

Similarly, cube root of a number results a number that when cubed, gives us the previous number.

Here, [tex]\sqrt[3]{64}[/tex]² = ∛(64 × 64) = ∛(8 × 8 × 8 × 8 × 8 × 8) = 8 × 8 = 64

[tex]16^{3/2}[/tex] = 4³ = 64

[tex]\sqrt[3]{8^{4} }[/tex] = ∛(8 × 8 × 8 × 8) = ∛(64 × 64) = ∛(4 × 4 × 4 × 4 × 4 × 4) = 4 × 4 = 16

√(16²) = √(16 × 16) = 16

Therefore, [tex]\sqrt[3]{64}[/tex]² and [tex]16^{3/2}[/tex] have the greatest value.

Learn more about square root and cube root of a number here: https://brainly.com/question/9664917

#Tag #SPJ2

Answer:

A) $840

Step-by-step explanation:

15•40 gives us how much money he makes a week normally

divide the result, 600, by 5 to find out how much he makes a day normally which is $120

now that we know how much he normally makes a day we can double $120 to $240 to show how much he makes on holiday days

so he makes $120 normally and $240 on holiday

120•3= 360

240•2= 480

then add

360+ 480= $840

hope this helps <3

Answer:

20

Step-by-step explanation:

20 pints because your convert 10 quarts into pints

Answer:

i think 100 pints

Answer:

1. 20

2. 35

3. 20

4. 20

Step-by-step explanation:

Are u serious..... ඩඩඩඩඩඩඩ