"Expand the brackets and Simplify"
(pls i need help asap)​

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:

Pounds of noodles made per week = 47 1/2 pounds

Step-by-step explanation:

One pound of pasta noodles can be made using the ingredients shown in the recipe below.

Recipe for Pasta Noodles

Ingredients

3 1/2 cups of flour

4 large eggs

2 teaspoons of olive oil

A chef uses 166 1/4 cups of flour each week to make noodles. How many pounds of noodles does the chef make each week?

28 1/2

47 1/2

53 1/4

55 1/2

Pounds of noodles made per week = Total cups of flour used each week / flour used per pound

= 166 1/4 ÷ 3 1/2

= 665/4 ÷ 7/2

= 665/4 ÷ 2/7

= (665*2)/(4*7)

= 1330/28

= 47.5 pounds

Pounds of noodles made per week = 47 1/2 pounds

Answer:

2ab-87=12 to the 100th times 2ab equals 79 the answer

Step-by-step explanation:

Answer:

No, because z-statistics lies within the critical region.

Step-by-step explanation:

The z value is calculated to determine whether the null hypothesis should be accepted or rejected. The null hypothesis is rejected when the z-value lies outside the critical region. The critical region is determined by the sample data.

Answer:

A) Yes, because the z-statistic lies within the critical region.

Step-by-step explanation:

Next one is B) The claim should be rejected.

Answer:

The  answer is below

Step-by-step explanation:

Yosune walked her dog 5 miles today and plans to walk her dog 2.5 miles every day from now on. The total number of miles walked y can be represented by y = 2.5x + 5, where x is the number days walked after today. a. State the x- and y-intercepts and then graph the equation. b. Interpret the x- and y-intercepts.

Solution:

The equation for a linear function is given by:

y = mx + b; where m is the slope of the function and b is the y intercept.

Given the equation y = 2.5x + 5, the y and x intercept can be found by substituting x = 0 and y = 0. Hence:

a) x intercept is the value of x when y = 0. Therefore:

0 = 2.5x + 5

2.5x = -5

x = -2

y intercept is the value of y when x = 0. Therefore:

y = 2.5(0) + 5

y = 5

b) The x-intercept is at the point (–2, 0). But there cannot be a negative number of days walked, hence the x intercept does not apply in this situation.

The y intercept is at the point (0, 5). This means that Yosune has initially walked her dog 5 miles.

Answer:

the equation of the hyperbola is y^2/12-x^2/4=1

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The ans above is A

Answer:

100% means “100 out of 100” — in other words, everything. So when you say you have 100% confidence in someone, you mean that you have complete confidence in them. But a lot of times, percentages larger than 100% are perfectly reasonable.!

Answer:

"Improper Fraction"

Step-by-step explanation:

An improper fraction is a fraction where the numerator exceeds the denominator. When the percent is over 100%, then technically the numerator is exceeding the denominator when the percentage is converted to a fraction.

Example:

You can go further by making it a proper fraction but that is beyond the current problem we are solving.

Answer:

Step-by-step explanation:

A:(2,7)

H:(4,3)

K:(6,7)

im really guessing here about the order of the pairs

(the ordered pairs are right im just not sure the order i have it in is right please let me know)

Answer:

y=1/4x+5

Step-by-step explanation:

1/4x is your slope you get from graphing

Answer:

your answer will be B. HL Theorem

Step-by-step explanation:

hope it helps you...

Answer:

I=$300

Step-by-step explanation:

P=1500

r=4%=0.04

t=5 years

I=p*r*t

I=1500*0.04*5

I=300

Answer:

Option B.

Step-by-step explanation:

When we have an angle A, in degrees, the coterminal angles are all the angles that can be written as:

B = A + n*360°

Where n is a positive or a negative integer (if n = 0, then B = A, which means that A is coterminal with itself, which is trivial).

Now we want to find two coterminal angles to 117°, such that one is positive and the other negative.

Then we can do:

for the positive one, use n = 1.

B = 117° + 1*360° = 477°

For the negative one, use n = -1

B = 117° - 1*360° = -243°

Then the two angles are 477° and -243°

The correct option is B.

Answer:

Step-by-step explanation:

parimeter of a regular hexagon:6a

therefore

=½×[4×6]×2√3 cm²

simplify parentheses:

=½×24×2√3 cm²

simplify fraction:

=24×√3 cm²

=41.57cm²

Answer:

41.57

Step-by-step explanation:

took the test

Answer:

3.5m

Step-by-step explanation:

A parallelogram has sides 17.3 m and 43.4 m long.

The height corresponding to the 17.3-m base is 8.7 m.

The area of a parallelogram = base × height

= 8.7m × 17.3m

= 150.51m²

Both parallelograms have the same area

Hence, the height, to the nearest tenth of a meter, corresponding to the 43.4-m base is calculated as:

= 150.51m²/43.4m

= 3.4679723502m

Approximately = 3.5m

Answer:

can't see the question properly

Answer:

I think the answer is A bc x is slope and y is y intercept

Answer:

no the one above it

Step-by-step explanation:

because i have had it recently

Answer:

a. f(-12) = 10

b. f(0) = 1

c. f(4) = -2

Step-by-step explanation:

In order to find the function of each of these numbers, you just need to replace them in the function as x and then solve:

a. f(-12) = 1 - 3/4(-12)

 - f(-12) = 1 - (-36/4)

 - f(-12) = 1 + 9

 - f(-12) = 10

b. f(0) = 1 - 3/4(0)

 - f(0) = 1 - 0

 - f(0) = 1

c. f(4) = 1 - 3/4(4)

 - f(4) = 1 - 12/4

 - f(4) = 1 - 3

 - f4) = -2

Answer:

289feet²

Step-by-step explanation:

Area of a rectangle = length x breadth

area of a square = length²

area of the yard that is not covered by the hot tub and fire pit =

Area of the yard - (area of the hot tub + area of the fire pit)

Area of the yard = 20 feet² = 400 feet²

area of the hot tub =  6 feet² x 8 feet² = 48 feet²

area of the fire pit = 7 feet² x 9 feet² = 63 feet²

400 - (48 + 63) = 289 feet²

Answer:

cubic polynomial, monomial

Step-by-step explanation:

Answer:

1 hour and 43 minutes or 103 minutes

Step-by-step explanation:

There are 60 minutes in an hour, so from 10 am to 11 am is 60 minutes. The additional 43 minutes need to be combined with the 60 minutes, which will give you 103 minutes.

Answer:

1 hour and 43 minutes

Step-by-step explanation:

10:00am+ 1 hour = 11:00 am

11:00 am + 43 minutes = 11:43

Hope this helped!! :3

Answer:

The answer is D

Step-by-step explanation:

Down 3 over 1

Step-by-step explanation:

7x-2y-4x+5y(This is what you should do)

Answer:

40%

Step-by-step explanation:

10/25 = 0.4

0.4 into a percentage is 40%

Answer:

40%

Step-by-step explanation:

25/10 = 2/5 = .4 or 40%

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:

A. 86.7

first, the base. length x width.

it's square, so

5.1 x 5.1= 26.01

then the sides. formula for a triangle is base times height divided by 2.

5.1 x 5.95= 30.345 divided by 2 is 15.1725

there are 4 sides, so multiply times 4

4 x 15.1725= 60.69

now, add the base to the sides

26.01 + 60.69= 86.7

Answer:yes!

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

To prove check out this screenshot Mark my answer the brainliest to tell you the 4 math calculators :)

Answer:

Step-by-step explanation: