Which expression is equivalent to the following complex fraction? StartFraction 2 Over x EndFraction minus StartFraction 4 Over y EndFraction divided by StartFraction negative 5 Over y EndFraction + StartFraction 3 Over x EndFraction StartFraction 3 y + 5 x Over 2 (y minus 2 x) EndFraction StartFraction 2 (y minus 2 x) Over 3 y minus 5 x EndFraction StartFraction 2 (y minus 2 x) (3 y minus 5 x) Over x squared y squared EndFraction StartFraction x squared y squared Over 2 (y minus 2 x) (3 y minus 5 x) EndFraction

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Answer 2

The equivalent expression of the complex fraction is [tex]\frac {2y - 4x}{5x + 3y}[/tex]

What are equivalent expressions?

Equivalent expressions are expressions that have equal values, when compared

The expression is given as:

[tex](\frac 2x -\frac 4y) \div (\frac 5y + \frac 3x)[/tex]

Take LCM

[tex](\frac {2y - 4x}{xy}) \div (\frac {5x + 3y}{xy})[/tex]

Express the quotient as products

[tex](\frac {2y - 4x}{xy}) * (\frac {xy}{5x + 3y})[/tex]

Evaluate the product

[tex]\frac {2y - 4x}{5x + 3y}[/tex]

Hence, the equivalent expression of the complex fraction is [tex]\frac {2y - 4x}{5x + 3y}[/tex]

Read more about equivalent expressions at:

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Related Questions

I need help with this. math ​

Answers

Answer:

x=35

Step-by-step explanation:

Hello There!

The shown angles are supplementary angles meaning that the sum of the two is 180

so

180=2x+43+2x-3

step 1 combine like terms

2x+2x=4x

43-3=40

now we have

180=4x+40

step 2 subtract 40 from each side

180-40=140

now we have

140=4x

step 3 divide each side by 4

140/4=35

4x/4=x

we're left with

x=35

find 5 rational numbers between 3/5 and 2/3​

Answers

This is the required answer <3

No need for explanation

Answers

Answer:

x=7

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

x + 2x + 69 = 90

3x + 69 = 90

3x = 21

x = 7

what is this plzzz help
8(2-4y)+5y(6-3)

Answers

Answer:

8(2-4y)+5y(6-3)

16-32y+30y-15

16-2y-15

16-15-2y

1-2y

Did they Ask you to simplify or to solve it ?

Which multiplication problem us modeled on the number line?

2(-4)
4(2)
2(4)
4(-2)

Answers

Answer:

2(-4)

Immediately, we can narrow it down to the first and last answer choices, since the product is negative. Since there are 4 arrows going left on the number line, the answer to this problem is 2(-4).  

2(4) is the answer bro

What is the area? Please help

Answers

Answer:

24 hhbhbbb;bbbbhhhjjjjdjdhdbdbbdbdhd

Answer: 61

Area of Square = [tex]7^{2}[/tex]

7 x 7 = 49

Area of Triangle = 1/2 (4) (3)

1/2 (4) (3) = 6

49 + 6 + 6 = 61

How many hundredths are in the number 2912.468

Answers

200s are in the number

NEED HELP ASAP!!!!

One side of a trapezoid has been extended and the dotted line forms a right angle with the extended line. Use this information to find m∠p.
A. 65°
B. 75°
C. 115°
D. 155°

Answers

The answer is C. Add 25 and 90 together and you should get 115. Then subtract that from 180 to get the miss angle brains P which is 65. Subtract 65 from 180 bc angle P and 60 make a straight line (180°). You should end up w/ 115

Answer:

C. 115

Step-by-step explanation:

got it right on edg. pls mark brainliest

Which expression represents the perimeter of a rhombus with diagonal lengths 8a and 10a?

Answers

Answer:

4a[tex]\sqrt{x}[/tex]41

Step-by-step explanation:

12*2+9x2= Perimeter.

The perimeter P of rhombus is given as

[tex]\rm\bold{ P = 4\sqrt{41}a }[/tex]

The diagonals of rhombus bisect each other at right angles and it has same perimeter as that of a square.

From this property stated above we can formulate  side of rhombus is below in equation (1)

Side and  diagonals of rhombus have following relation

[tex]\rm Let \; the \; side \; of\; rhombus = s\\Length\; of \; first \; diagonal = 8a\\ Length\; of \; second \; diagonal = 10a\\\\According \; to \; the \; identity\; for\; area \; of\; rhombus \\ s^2 = (p/2)^2 +(q/2)^2 ....(1) \\where \; p \; and\; q \; are\; the \; diagonals.[/tex]

so

[tex]\rm s^2 = (10a/2)^2 + (8a/2)^2\\s^2 = 25a^2 + 16a^2 = 41 a^2 \\s= \sqrt{41}a ......(2)[/tex]

Equation (2) represents side of rhombus

So the perimeter P of rhombus is given as

[tex]\rm P = 4\times s[/tex]

[tex]\rm\bold{ P = 4\sqrt{41}a }[/tex]

The perimeter P of rhombus is given as

[tex]\rm\bold{ P = 4\sqrt{41}a }[/tex]

For more information please refer to the link below

https://brainly.com/question/24438053

What is the slope and y-intercept of the line y = 3x - 7?
Group of answer choices

The slope of the line is -7, and the y-intercept is (0, 3).

The slope of the line is 3, and the y-intercept is (0, -7).

Plz help ASAP!!!!
The slope of the line is -3, and the y-intercept is (0, 7).

The slope of the line is 7, and the y-intercept is (0, -3).

Answers

Y = mx + b
m = slope, b = y intercept
Given m = 3, b = -7
The slope is 3
The y intercept is (0,-7)
hello!

[tex]==================================[/tex]

the given equation is written in slope-intercept form, which looks like so:

[tex]\pmb{y=mx+b}[/tex]

where

[tex]\pmb{m}[/tex] is the slope of the line

[tex]\pmb{b}[/tex] is the y-intercept of the line

in order to determine the slope & the y-intercept, just look at the equation:

[tex]\pmb{y=3x-7}[/tex]

slope: [tex]\pmb{3}[/tex]

y-intercept: [tex]\pmb{-7}[/tex] or ( [tex]\pmb{0, -7}[/tex])

[tex]===================================[/tex]

note:-

Hope everything is clear; if you need any more explanation, kindly let me know.

1 point
1. A square with an area of 300 in? must have side lengths that are
between: *
A. 17 and 17.5 inches
B. 18 and 20 inches
C. 15 and 16 inches
D. 14.5 and 15 inches
227 18
1 point

Please help have to turn in by 2:30

Answers

Answer:

I would say the answer is A because its closest to the number 300

Step-by-step explanation:

i hope i helped if its wrong im sorry

For the area of a square, you only need one side length to find the area. Then you take that length and multiply it by itself. It A) 17 to 17.5 inches because it meets the 300 range. you can check by multiplying each number by itself

c. What is the percent change from $33 to $30?

Answers

Answer:

-9.09 is the correct answer

Answer:

-9.09%

Step-by-step explanation:

question is in picture i forgot how to do this and my sister is working on it rn anyone help?

Answers

Answer:

it's A.

Step-by-step explanation:

so basically an open circle means < or >

a closed circle (the filled in one) means greater/least than or equal to

the sign > with an equal sign under it

hope this helps I forgot too for a minute lol

For the​ function, find the points on the graph at which the tangent line is horizontal. If none​ exist, state that fact. SHOW WORK PLEASE!

Answers

9514 1404 393

Answer:

  A. (-√2, 3+(4√2)/3), (√2, 3-(4√2)/3)

Step-by-step explanation:

The tangents are horizontal where the derivative is zero. The derivative of the given function is ...

  y' = x² -2

This is zero when ...

  0 = x² -2

  2 = x²

  ±√2 = x . . . . x-values where the derivative is zero

__

The corresponding y-values are ...

  y = (1/3x² -2)x +3

  y = (1/3(2) -2)(±√2) +3 = 3 ∓ (4√2)/3

The turning points are (-√2, 3+(4√2)/3) and (√2, 3-(4√2)/3).

The hypotenuse of a right triangle measures 20 cm and one of its legs measures 11
cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

2.96cm just round to the nearest tenth
2.96!? not sure! have a good day

You put a fence around the dog pen and fill it with gravel. The fence costs $1.50 per foot. One bag of gravel covers 4 square feet and costs $3.50. How much do you spend?

Answers

$124.00 (36ft of fencingx1.50=$54)(area 80 ft/4=20 bagsx 3.50 = $70) 54 + 70 = $124.00

If a triangular and rectangular fence is put around the dog pen and fill it with gravel. The cost of fence is $1.50 per foot, and cost of one bad of gravel is $3.50. The total amount spend is $218.5

What is rectangle?

"Rectangle is a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square."

What is triangle?

"A triangle is a polygon with three edges and three vertices."

The given figure contains a rectangle and a triangle.

Length of rectangle = 10 ft

Breadth of rectangle = 8 ft

Area of rectangle = length × breadth

Area of rectangle = 10 × 8 = 80 ft.

Base of triangle = 8 ft.

Height of triangle = 3 ft.

Area of triangle = [tex]\frac{1}{2}[/tex]× base × height

Area of triangle = [tex]\frac{1}{2}[/tex]×8×3 = 12 ft.

Total area of fence = Area of rectangle + Area of triangle

Total area of fence = 80 + 12 = 92 ft.

Cost of one foot of fence = $1.50

Cost of 92 foot of fence = $1.50 × 92

Cost of 92 foot of fence = $138

4 square feet is covered by = 1 bag of gravel

1 square feet is covered by = [tex]\frac{1}{4}[/tex] bag of gravel

92 square feet is covered by = [tex]\frac{1}{4}[/tex]×92 = 23 bags of gravel

Cost of 1 bag of gravel = $3.50

Cost of 23 bags of gravel = $3.50 × 23 = $80.5

Total amount spend = $138 + $80.5 = $218.5

Hence, total amount spend is $218.5

To learn more about rectangle and triangle here

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#SPJ2

Find the volume of the composite figure at the right.

Answers

Answer:

715.6 in^3

Step-by-step explanation:

Step 1:

multi. 10x6x8

=480

Step 2:

v=1/2 xPIE (5)^2 x6

= 235.6

Step 3:

480 + 235.6

= 715.6

I need help pleaseeee​

Answers

Answer:

3  x=59  4. x= 23

Step-by-step explanation:

#3 the angles are vertical angles, so they are congruent

#4 the angles together equal 117. If one angle is 94, the other is 117-94

Find the value of x and justify your answer

Answers

Answer:

a.

2x+4x+3x=180 sum of interior angle of the triangle is 180

9x=180

x=180/9=20

b.

x-20+x+10+x-20=180sum of interior angle of the triangle is 180

3x-30=180

3x=180+30

x=210/3=70

c.x+10+x+20+x=180 linear pair

3x+30=180

3x=180-30

x=150/3=50

Answer:

The picture is kinda blurry so I hope I've got it right.

a) x = 20°

b) x = 70°

c) x = 50°

Step-by-step explanation:

a) 2x + 3x + 4x = 180°

9x = 180°

x = 50°

b) (x - 20°) + (x - 20°) + (x + 10°) = 180°

3x - 30° = 180°

3x = 210°

x = 70°

c) (x + 10°) + (x + 20°) + x = 180°

3x + 30° = 180°

3x = 150°

x = 50°

Given the system of equations, what is the solution? x + 2y = 11 x - 2y = -1 o(-5, -3)} O [(1,1)] O [(5.3)]​

Answers

Answer:

2.2 results in a true equation, 2.2 is a solution to the equation.

Step-by-step explanation:

Step 1. Substitute the number for the variable in the equation.

Step 2. Simplify the expressions on both sides of the equation.

Step 3. Determine whether the resulting equation is true.

If so, the number is a solution.

If not, the number is not a solution.

HELP a map has a scale of 1 cm 35 feet use the map distance to find the actual distance

Answers

Answer:

Step-by-step explanation:

13. 35ft * 6cm = 210

14. 35ft * 3.2cm = 112

find the area Square root of 3 and square root of 75

Answers

Answer:0.2

Step-by-step explanation:

Combine

3

and

75

into a single radical.

3

75

Cancel the common factor of

3

and

75

.

Tap for more steps...

1

25

Rewrite

1

25

as

1

25

.

1

25

Any root of

1

is

1

.

1

25

Simplify the denominator.

1

5

The result can be shown in multiple forms.

Exact Form:

1

5

Decimal Form:

0.2

I think it’s 0.2 sorry if I’m wrong

Help me with this!!!

Answers

Answer:

yes

Step-by-step explanation:

Answer: no

Y because I said so

John filled his car gas tank with 21 gallons of gas. He paid $54.39. What was the price of 1 gallon

Answers

Answer:

2.59

Step-by-step explanation:

Divide $54.39 by 21.

Answer:

$2.59/gallon

Step-by-step explanation:

Given that

21 gallons = $54.39

Find the price per gallon.

21/1 = 54.39/price

price = 54.39/21

price per gallon = $2.59 (two Dollars and fifty nine cents)

____________________

#IndonesianPride - kexcvi

help pls , pls pls i will love u

Answers

The first one is D. 12(3x+1)
Is there a 4th option for question 2

Answer:

first one: 4(8x + 5)

second one: 6(4x - 6y)

Step-by-step explanation:

4(8x + 5) = 32x + 12

32x + 12 is not the same as 36x + 12 so therefore, it is not equivalent

24x - 36y = 6(4x - 6y)

watch for signs

im so confused pls help!

Answers

[tex]-\frac{1}{2} *(-\frac{5}{6} )+(-\frac{1}{2} )*\frac{1}{3} \\=\frac{5}{12} -\frac{1}{6} \\=\frac{5}{12} -\frac{2}{12} \\=\frac{3}{12} \\\frac{1}{4}[/tex]

Answer:

it's 5/12 + 1/3

Step-by-step explanation:

you would multiply the -5/6 by -1/2 to get 5/12 since the negative would cancel out

so 5/12 + 1/3 would be the answer.

Also this question doesn't make any sense since you are supposed to simplify the parentheses first.

18 Which expression shows a "7" as a coefficient? Select ALL that apply.
A 2x-7
B 7(x + 9)
C 7x + 8y
D 3x7
E 7 + 5x
F 4x - 7y

Answers

Answer:

B,F, C

Step-by-step explanation:

I belive this because a coefficient a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y).

SOLVE: 1/2 x 1/5 = *

Answers

Answer:

[tex] \frac{1}{10} [/tex]

1

2

×  

1

5

=  

1

10

Result in decimals: 0.1

Calculation steps:

1

2

×  

1

5

=  

1 × 1

2 × 5

=  

1

10

Kate wanted to sell a box of candy bars to raise money for her team. She sells 1/4 of the box at school. And 1/2 of the box to her neighbors. What fraction of the candy bars dose kate still have to sell. Put your answer in simplest form

Answers

Answer: 1/4

Step-by-step explanation:

Fraction of the box of candy bars sold at school = 1/4

Fraction of the box of candy bars sold to neighbor = 1/2

Therefore, the fraction that she has sold already will be:

= 1/4 + 1/2

= 1/4 + 2/4

= 3/4

The fraction of the candy bars that Kate still have to sell will be:

= 1 - 3/4

= 1/4

Kate has 1/4 candy bars left to sell



A heron is perched in a tree 50 feet above sea level. Directly below the heron, a pelican is flying 17 feet above sea level. Directly below the birds is a trout, swimming 23 feet below sea level.



True or False

A. The difference in height between the pelican and the heron is -33 feet.

Answers

Answer:

False

Step-by-step explanation:

This is because there both above sea level and 50-17=33 not -33

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