Evaluate and simplify the following complex fraction.

Evaluate And Simplify The Following Complex Fraction.

Answers

Answer 1

Answer:

Thus,

[tex]\frac{\frac{2}{3}}{\frac{4}{-9}}=-\frac{3}{2}[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{\frac{2}{3}}{\frac{4}{-9}}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}[/tex]

[tex]=\frac{\frac{2}{3}}{-\frac{4}{9}}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}[/tex]

[tex]=-\frac{\frac{2}{3}}{\frac{4}{9}}[/tex]

[tex]\mathrm{Divide\:fractions}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}[/tex]

[tex]=-\frac{2\cdot \:9}{3\cdot \:4}[/tex]

[tex]=-\frac{18}{12}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:6[/tex]

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

Thus,

[tex]\frac{\frac{2}{3}}{\frac{4}{-9}}=-\frac{3}{2}[/tex]


Related Questions

HELP THIS IS TIMED
2/11z-5/11z+4-1/11z-8
simplify plssss i can give reward

Answers

Answer:

-145/88z+4

Step-by-step explanation:

Answer: -4/11z - 4

Step-by-step explanation: We can combine like terms to simplify the expression 2/11z - 5/11z + 4 - 1/11z - 8. The terms 2/11z, -5/11z, and -1/11z are like terms because they all have the same variable part z. When we add them together, we get (2 - 5 - 1)/11z = -4/11z. The constants 4 and -8 are also like terms. When we add them together, we get 4 + (-8) = -4. So the simplified expression is -4/11z - 4.

Given the system of equations, what is the solution?

2x + y = -1

x - y = -5

{(-2, 3)}
{(-8, -3)}
{(2, 7)}

Answers

Answer:

Its b trust me

Step-by-step explanation:

I did the work lol

Answer:

y = 9/2 or 4.5

Step-by-step explanation: hope this helps :)

x-y= -5   So what you do here is isolate the variables

+y     +y      

x = -5+y

After you do this you input the equation as x

2x+y = -1

2(-5+y) = -1

-10 + 2y = -1

+ 10         +10

2y = -9

/2      /2

y =  9/2 or 4.5

examine the variety of shapes below if a shape has shading then find the area of the Shaded region ​

Answers

only the last figure (i.e figure e) is shaded

The shaded region is a triangle

Area of a triangle

= ½ × b × h

= ½ × 14 × 5

= ½ × 70

= 35yd²

Help plzzzzzzzzzzzzzz ​

Answers

Answer:

∠P

Step-by-step explanation:

∠P is between NP and PE

pls answer this question its for a test grade

Answers

Answer:

h

Step-by-step explanation:

Kyle used 15 centimeters of tape to wrap 3 presents. How much tape will Kyle need in all if he has to wrap 5 presents? Assume the relationship is directly proportional.

?centimeters

Answers

Answer:

25

Step-by-step explanation:

PLEASE HELP ME!!!!! NEED HELP ASAP!!!!!

Answers

I think the answer is A

Mia and Evette played a game in which they scored 10 points for each correct answer and lost 20 points for an incorrect answer. Mia answered 7 questions correctly and 3 questions incorrectly. What was Mia's overall score? *

Answers

Answer:

Mia's score is 10

Step-by-step explanation:

Mia and Evette played a game in which they scored 10 points for each correct answer and lost 20 points for an incorrect answer. Mia answered 7 questions correctly and 3 questions incorrectly. What was Mia's overall score? *

We are told that:

Correct points = 10 per answer

Incorrect points = 20 per answer

Mia answered 7 questions correctly and 3 questions incorrectly.

Hence:

7 (10) + 3(20)

= 70 points - 60 points

= 10 points

Mia's score is 10

HELP ASAP PLZ What value of d makes the equation (3d – 2) = }(d + 5) true?​

Answers

1 Remove parentheses.

3d-2=d+5

2 Add 22 to both sides.

3d=d+5+2

3 Simplify  d+5+2  to  d+7.

3d=d+7

4 Subtract d from both sides.

3d-d=7

5 Simplify  3d-d to  2d.

2d=7

6 Divide both sides by 2.

7/2=d

7 Flip sides.

d=7/2

(Optional decimal form)

d=3.5

So 7/2 or 3.5

Brainliest if correct please help

Answers

Answer:

it is F

Step-by-step explanation:

carrots and beans combined is 11 and corn is 11

F is the correct one

what is 29503.488rounded two decimal places​

Answers

Answer:29503.49

Step-by-step explanation:

Answer:

29503.49

Step-by-step explanation:

since the number in the thousandths place is greater than four, you round the number in the hundredths place up to the number that would come after that. In this case, 8 rounds up to 9

Timmy the Elephant received an 87.5% on his math test. How many questions were on the test if he got 35 questions right?

Answers

Answer:

40

Step-by-step explanation:

35/40 in percentage is 87.5%

PLEASE HELP, THANK YOU (-:

Answers

Answer:

1 mile per hour

Step-by-step explanation:

Diego has $11 and begins saving $5 each week toward buying a new phone. At the same time that Diego begins saving, Lin has $60 and begins spending $2 per week on supplies for her art class.

Is there a week when they have the same amount of money? How much do they have at that time?

Answers

Answer:

Let x represents the week and y represents the amount of money.

As per the given statement:

Diego has $11 and begins $5 each week toward buying a new phone.

⇒               ......[1]

It is also given that Lin $60 and begins spending $2 per week.

⇒               ....[2]

when they have the same amount.

equate [1] and [2] we get;

Add both sides 2x we get;

Subtract 11 from both sides we get;

Divide both sides by 7 we get;

x = 7

Substitute the value of x = 7 in [1] we have;

Therefore, at x= 7 week they have the same amount of money and they  have the amount at that time, $ 46

Step-by-step explanation:

In an xy-coordinate system, Line l has a slope of –3. If the points (2, 16) and (5, t) are on Line l, what is the value of t?

Answers

Answer:

25 i think

Step-by-step explanation:

30 points!!! I think. Anyways, what’s your favorite thing to do with your mom.

Answers

My mom is rly toxic and doesn’t have a relationship w me anymore but I used to like to go shopping w her at the mall and we would get lunch and have a good time.

Answer: My favorite thing to do with my mom is either go shopping with her or cooking yummy desserts, like cookies, brownies, Etc...

The downside is that my mom get's really annoyed with me so i don't really go shopping especially with all this Coronavirus stuff going on.... And also what's your favorite thing to do with your mom???

Thank you so much!!! :D Stay safe and have a great day/night!!! :D

-21+(-59) what is the answer

Answers

Answer:

-80

Step-by-step explanation:

a carton of orange juice contains 540ml a special offer carton contains an extra 35% how many millilitres are in the special offer carton?

Answers

540mL x .35 = 189 mL
189 mL + 540 mL = 729 mL

The carton contains 729 mL.

What is the Fraction?

Fractions represent equal parts of a whole or a collection. Fraction of a whole: When we divide a whole into equal parts, each part is a fraction of the whole.

How to solve it?

We have.

540mL x .35 = 189 mL

189 mL + 540 mL = 729 mL

The carton contains 729 mL.

Learn more about Fractions:

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Write the equation of the line that passes through the points (0, -3) and (-4,1).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Step-by-step explanation:

I'm going to explain this in standard slope intercept form (y=mx+b) because it is easiest for this situation. I will also include converting it to point slope form. I will also show how to do straight into point slope form if you find that more helpful.

First thing is to identify difference in x and y in both points. From point 1 to point to, the x changes -4 and the y changes +4. We can rapresent this in rise over run fraction

[tex] \frac{4}{ - 4} = - 1[/tex]

So the slope is -1 because the slope is the simplified rise over run fraction.

Our next step is to find the y-intercept. This is easy because the first point is the y-intercept, so -3 is our y-intercept.

Now we know the equation.

[tex]y = - x - 3[/tex]

All we have to do now is convert it into point-slope form. So here is point slope form: y + y1 = m(x + x1). Y1 is the y-intercept and m is the slope.

[tex]y - 3 = - 1(x + x1)[/tex]

So x1 is the x intercept, so to find this you find the x value when y is 0. You can do this by using the standard form I've done because it is easiest.

[tex]0 = - x - 3 \\ x = - 3[/tex]

So when y is 0, then x is -3. Here is the complete point slope form of the line.

[tex]y - 3 = - 1(x - 3)[/tex]

-----------------------------------------------------

To put the line directly into point slope for you need to find the slope, y-intercept, and x-intercept and place the values in accordingly. If you aren't given the y-intercept and x-intercept straight away it can be difficult for some putting it directly in point slope form. That is why I recommend putting it into standard form then point-slope form.

Answer:

y=-1x-3

Step-by-step explanation:

First, you have to find the slope using the formula I attached. Using this formula, you will subtract the second y from the first y, which is 1-(-3) for this problem. That equals 4, so that will be the numerator of the slope. Next, you have to subtract the second x from the first x, which is -4-0 for this problem. That equals -4, so that will be the denominator for this slope. the fraction now is [tex]\frac{4}{-4}[/tex], which is -1. The slope is -1. The current equation looks like this: y=-1x+b. Now we can solve for b, or the y-intercept. To do this, you have to use the x and y of one of the coordinates, it doesn't matter which one, the answer will be the same. Use the first one, for example. The x is 0 and the y is -3, so the our equation to find b is -3=-1(0)+b, which is -3=0+b, which is -3=b, or b=-3. So now we know what b is. Now we have to two components we need to write the equation, the slope (-1) and the y-intercept (-3). Now we can write the equation. y=-1x+(-3), or y=-1x-3.

Evaluate 9-5+(48/2)x5x7+6

Answers

Answer:850

Step-by-step explanation:

I hope it helps

Sumalee and Scott each improved their yards by planting daylilies and ivy. They bought their
supplies from the same store. Sumalee spent $93 on 6 daylilies and 3 pots of ivy. Scott spent
$196 on 13 daylilies and 6 pots of ivy. Find the cost of one daylily and the cost of one pot of ivy.

Answers

Answer:

The cost of one daylily is $10 and the cost of one pot of ivy is $11

Step-by-step explanation:

To solve the question we will form a system of equations

Assume that the cost of 1 daylily is x and the cost of 1 pot of ivy is y

∵ Sumalee spent $93 on 6 daylilies and 3 pots of ivy

→ Multiply x by 6, y by 3, then add the products and equate the sum by 93

6x + 3y = 93 ⇒ (1)

∵ Scott spent $196 on 13 daylilies and 6 pots of ivy

→ Multiply x by 13, y by 6, then add the products and equate the sum by 196

13x + 6y = 196 ⇒ (2)

Now we have a system of equations to solve it

→ Multiply equation (1) by -2

∵ -2(6x) + -2(3y) = -2(93)

-12x - 6y = -186 ⇒ (3)

→ Add equations (2) and (3)

(13x + -12x) + (6y + -6y) = (196 + - 186)

∴ x + 0 = 10

x = 10

→ Substitute the value of x in equation (1) to find the value of y

6(10) + 3y = 93

∴ 60 + 3y = 93

→ Subtract 60 from both sides

∵ 60 - 60 + 3y = 93 - 60

∴ 3y = 33

→ Divide both sides by 3

y = 11

The cost of one daylily is $10 and the cost of one pot of ivy is $11

[tex]4−16÷4+4²[/tex]

Answers

Answer:

16

Step-by-step explanation:

[tex]4−16÷4+4² \\ \\ = 4 - \frac{16}{4} + 16 \\ \\ = 4 - 4 + 16 \\ \\ = 16[/tex]

I need help. If you can, thank you.

Answers

Answer:

Y = 2x + 1

Step-by-step explanation:

Hope this helps. Pls give brainliest.

Y =2x +1 there hope it’s helps

Muriel says she has written a system of two linear equations that has an infinite number of solutions. One of the equations of the system is 3y = 2x – 9. Which could be the other equation? 2y = x – 4.5 y = y equals StartFraction 2 over 3 EndFraction x minus 3.x – 3 6y = 6x – 27 y = y equals StartFraction 3 over 2 EndFraction x minus 4.5.x – 4.5

Answers

Answer:

B is correct

Step-by-step explanation: an infinite number of solutions means a coincident line...it is the same line

3y = 2x - 9...divide by 3

y = 2/3x - 3...hmm...same line as answer choice b....they are coincident lines and have infinite solutions

Answer:

the answer is B).

Step-by-step explanation:

someone deleted my answer:(

write Luke earned commission on each pair of jeans he sold. Luke sold $342 worth of jeans and made $112. Approximately what is Luke's commission rate?

whoever answers this first gets 15 points and a brainliest!

Answers

230 is his commission rate

Please help!

Select the correct answer from each drop-down menu.
On a horizontal number line, -6 is located to the [blank] of -4. So, -6 is [blank] than -4.

First blank- left, right,
Second blank- greater, less,

CORRECT ANSWER GET'S BRAINLIEST!

Answers

Answer:

To the "LEFT", so -6 is "LESS"

Step-by-step explanation:

-6 < -4

(0,0) (-4,-4) (2,-4) graph the image of this triangle after a dilation with a scale factor of 2 centered at the origin​

Answers

Answer:

The image coordinates are:

A'(0, 0)

B'(-8, -8)

C'(4, -8)

The graph of the image coordinates attached below.

The image triangle A'B'C' is illustrated in green color.

Step-by-step explanation:

Let the points of a triangle be

A(0,0) B(-4,-4) C(2,-4)

We need to determine the graph of the image of this triangle after a dilation with a scale factor of 2 centered at the origin.

As scale factor > 0, thus the image will be enlarged.

A dilation by a scale factor of 2 centered at the origin means the coordinates of the image can be obtained by multiplying the original coordinates with 2.

Next, the rule of dilation by a scale factor of 2 is given by

Dilation: (x, y)  →  (2x, 2y), centered at (0, 0)

P(x, y)  → P' (2x, 2y)

A(0, 0) → A' (2(0), 2(0)) → A'(0, 0)

B(-4, -4) → B' (2(-4), 2(-4)) → B'(-8, -8)

C(2,-4) → C' (2(2), 2(-4)) → C'(4, -8)

Therefore, the image coordinates are:

A'(0, 0)B'(-8, -8)C'(4, -8)

The graph of the image coordinates attached below.

The image triangle A'B'C' is illustrated in green color.

Find the value of x. Show your work with proper statements and notation. P e MQ.

Answers

Answer:

32+46=6x

96=6x

X=16

After solving the equation, the value obtained for x will be equal to 16°.

What is an equation?

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the information obtained in from the given figure,

The given angles are,

∠ m = 32°

∠ N = 64°

Then, the equation form will be,

32° + 64° = 6x

6x = 96°

x 96/6

x = 16°

To know more about equation:

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Select Correct Answer From Drop Down Menu

Answers

Answer:

Solution  (-3, -5)

systems or linear equations

y = x - 2

y = 3x + 4

Step-by-step explanation:

-2,-2 ( 0,4

Which statement identifies a mistake Anna made if any

Answers

Answer:

she didn't make a mistake.Her answer is correct

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