an expression that is equivalent to 60x+28y.

Step-by-step explanation:

Hey there!

[tex]\tt{\dfrac{\dfrac{1}{x^2} + \dfrac{2}{y}}{\dfrac{5}{x} - \dfrac{6}{y^2}}}[/tex]

So, what we can do here is first take the Least Common Multiple here, on both Numerator and Denominator.

[tex]\tt{\dfrac{\dfrac{y + 2y^2 (1)}{x^2 y (2)}}{\dfrac{5y^2 - 6x (3) }{xy^2 (4)}}}[/tex]

[The number in brackets is for the next step :-

When we will further simplify it, we will multiply 1st with 4th and 2nd with 3rd.

[tex]\tt{\dfrac{y + 2y^2 \times xy^2 }{x^2 y \times 5y^2 - 6x }}[/tex]

[tex]\tt{\dfrac{y + 2y^2 \times y }{x \times 5y^2 - 6x }}[/tex] is the framed answer.

Answer:

[tex]\frac{y(y+2x^2)}{x(5y^2-6x}[/tex]

Step-by-step explanation:

Lets do the numerator and denominator seperately:

Numerator:

1/x^2 + 2/y

Find common denominator and add these 2 fractions:

This is x^2y (I just multiplied the 2 denominators together’

Now, do what you have done to x^2 to make it x^2y, ie. multiplied by y, to the 1. This = y

And do what you have done to y to make it x^2y, ie. multiplied by x^2, to the 2. This = [tex]2^{2}[/tex]

Now, arrange all numbers we have found into the correct order in the fraction. This is:

[tex]\frac{y+2x^{2}}{x^{2} y}[/tex]

Denominator:

5/x - 6/y^2

Find the common denominator  and subtract these two fractions:

This is xy^2

Now, do what you have done to x to make it xy^2, ie. multiply by y^2, to the 5. This = 5y^2

And do what you have done to the y^2 to make it xy^2, ie. multiply by x, to the 6, this is = 6x

Now, arrange all the numbers we have found into the correct order in the fraction

[tex]\frac{5y^{2}-6x}{xy^2}[/tex]

Now that we have the numerator and the denominator, we can solve the equation.

The original question asks us to divide the 2 fractions, so:

[tex]\frac{y+2x^{2}}{x^{2} y}[/tex]  divided by [tex]\frac{5y^{2}-6x}{xy^2}[/tex]

For the division of fractions, you just have to multiply the inverse of the 2nd fraction by the first, so

[tex]\frac{y+2x^{2}}{x^{2} y}[/tex] x [tex]\frac{xy^2}{5y^2-6x}[/tex]

Use cross multiplication to simplify the above expression to:

[tex]\frac{y(y+2x^2)}{x(5y^2-6x}[/tex]

Hope this helps, sorry its long ...

Answer:

Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept). Watch this video to learn more about it and see some examples. Created by Sal Khan.

Step-by-step explanation:

pls give me brainless

Answer: 214 ft^2

Step-by-step explanation:

A=πr^2

3.14(8.25)^2

3.14(68.0625)

213.71625

rounded to the nearest square foot: 214

Answer:

y is 6 times x for the first set

not proportional for the next

Step-by-step explanation:

Answer:

55cm

Step-by-step explanation:

Answer:

A. 0

Step-by-step explanation:

use discriminant. discriminant value is negative so 0 solutions

Answer:

acute

Step-by-step explanation:

Answer:

1:40

Step-by-step explanation:

because there are two red continuous so double the no. of total marbles.

Answer:

48 cm

Step-by-step explanation:

If it's square and the area is 144, then the sides are each 12cm (a = l x w, 144 = 12 x 12)

12cm x 4 sides = 48cm

Answer:

48

Step-by-step explanation:

The area is 144 cm².

A = s²

144 = s²

[tex]\sqrt{144\\}[/tex] = s

12 = s

photo frame is a square.

perimeter of a square = 4 * s

P = 4 *s

P = 4 (12)

P = 48

Answer:

the volume of the cylinder is 785 units^2

Step-by-step explanation:

The computation of the volume of the cylinder is shown below:

Given that

The diameter is 10 units

So, the radius is half of the diameter i.e. 5 units

The height would be twice of the radius i.e. 10 units

Now the volume of the cylinder is

=πr^2h

r denotes the radius

And h denotes the height

= 3.14 × 5^2 × 10

= 785 units^2

Hence, the volume of the cylinder is 785 units^2

Answer:

440,000!!! LOL

Step-by-step explanation:

Answer:

440,000

Step-by-step explanation:

I got 440,000 as an answer because I did

400,000

+40,000

________

440,000

You could work from the ones to the hundred thousandths.

First add the zeros, then work to the thousandths. 0+0=0, 0+0=0,0+0=0,0+0=0,0+4=4, 4+0=4.

Therefore, 400,000+40,000=440,000.

Answer: 2.49 s

Step-by-step explanation:

Given

Rock is dropped from a height of [tex]h=100\ ft[/tex]

Using the equation of motion [tex]h=ut+\frac{1}{2}at^2[/tex]

here, [tex]u=0[/tex] (Rock is dropped)

[tex]a=g[/tex]

Putting values

[tex]\Rightarrow 100=0+\dfrac{1}{2}gt^2\\\\\Rightarrow t^2=\dfrac{2h}{g}=\dfrac{2\times 100}{32.2}\\\\\Rightarrow t=\sqrt{6.211}=2.49\ s[/tex]

Answer:

V = 40

Step-by-step explanation:

Volume of a Pyramid:

V = 1/3bh

Given:

b = 10

h = 12

Work:

V = 1/3bh

V = 1/3(10)(12)

V = 40

Answer:

-5, -3, 9, 11, 15, 22

Step-by-step explanation:

idrk how to explain

Answer:

1.01 or 1.0

Step-by-step explanation:

Answer:

a = -7/17

Step-by-step explanation:

Add -4a to -2a

This makes -6a. Then you add 6a to the left to cancel it out, but you must also add 6a to the right of the =

Then you have -7 = 17a

Divide 17 from both sides and you have -7/17 = a

Step-by-step explanation:

y-15=x^2+10x

y-15+25=x^2+10x+25

y+10=(x+5)^2

Answer:

22 units

Step-by-step explanation:

Answer:

There are 50 students in total in the school play, acting and working behind the scene.

Step-by-step explanation:

Since the statement indicates that 30% of the scholars are working as stagehands, you can subtract this from 100% that represents the total amount of student in the school play to find the percentage that are actors and actresses:

100%-30%=70%

Now, as you know that 70% of the students are actors and actresses and the statement indicates that they are 35, you can use a rule of three to find the amount of students that represent 100%:

70%    →    35

100%   →     x

x=(100*35)/70

x=50

According to this, the answer is that there are 50 students in total in the school play, acting and working behind the scene.

Answer:

Dan made more money last month

Step-by-step explanation:

15/100  10/100 Make into decimal's and Dan's is still higher

Answer:

See the solutions below

Step-by-step explanation:

First note that the opposite side of a parallelogram are equal, hence;

For Parallelogram FIRE

fi = re

ef = ir

Given

fi = (3x-5)cm

ir = (2y -7)cm

re = (x+7)cm

ef = (y+3)cm\

a) If fi = re, then;

3x - 5 = x+7

3x - x = 7+5

2x = 12

x = 12/2

x = 6

b) Since FI = 3x - 5

FI = 3(6) - 5

FI = 18 - 5

FI = 13cm

c) Also ef = ir

y+3 = 2y - 7

y - 2y = -7-3

-y = -10

y = 10

d) EF = y+3

EF = 10 +3

EF =13cm

e) Perimeter of the parallelogram = FI + IR + RE + EF

Perimeter of the parallelogram = 13cm + 13 + 13cm + 13cm

Perimeter of the parallelogram = 52cm

Answer:

4x^2 - 12x +9

Step-by-step explanation:

The figure is a square.

the area of a square is = side^2

area = (2x-3)^2 = 4x^2-12x +9

thanks to rule of the square of a binomial, we can skip this passage:

(2x-3)(2x-3) = 4x^2-6x-6x+9 =4x^2-12x +9

Answer:

4x²−12+9

Steps:

2x(2x−3)−3(2x−3)

4x²−6−3(2x−3)

4x²−6x−6x+9

4x²−12x+9

Answer:

B 1296

Step-by-step explanation:

Area of a rectangle = Length × Width

Area of a triangle = [tex]\frac{1}2[/tex] × Base × Height

3 sides are rectangles with the measurements of (9mm by 21mm)

So 3(9 × 21) = 567mm^2

6 sides are rectangles with the measurements of (9mm by 9mm)

So 6(9 × 9) = 486mm^2

1 side is a rectangle with the measurements of (9mm by 15mm)

So (9 × 15) = 135mm^2

2 sides are triangles with unknown, but equal bases.

To calculate the base, you subtract 9 from 21:   21 - 9 = 12mm

Therefore the base = 12mm

The other measurement can be found by looking to the left of the triangle (9mm from the side)

So   2([tex]\frac{1}2[/tex] × 12 × 9) = 108mm^2

Add the sides up:

567 + 486 + 135 + 108 = 1296 mm^2

Answer:

I get 24...... ....... .......

Answer:

please give me brainlist and follow

Step-by-step explanation:

42 ÷ w = 7 for w = 6. First, Shaylee must substitute ( ) for ( ). To simplify, Shaylee must divide ( ) by ( ) .