when 2(3/5 x + 2/3 y - 1/4 x -1 1/2 y + 3 )is simplified, what is the resulting expression?

Answers

Answer 1

Answer:

Simplifying  the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex] we get [tex]\mathbf{42x-100y-360}[/tex]

Step-by-step explanation:

We need to simplify the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex]

First we will solve terms inside the bracket

[tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex]

Converting mixed fraction [tex]1\frac{1}{2} y[/tex] into improper fraction, we get: [tex]\frac{3}{2}y[/tex]

Replacing the term:

[tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-\frac{3}{2}y +3)[/tex]

Now, taking LCM of: 5,3,4,2 we get 60

Now multiply 60 with each term inside the bracket

[tex]2(\frac{3}{5}x\times60+\frac{2}{3}y\times60-\frac{1}{4}x\times60-\frac{3}{2}y\times60 +3\times60)\\2(3x\times12+2y\times20-1x\times15-3x\times30-3\times60)\\2(36x+40y-15x-90y-180)[/tex]

Now, combine like terms

[tex]2(36x-15x-90y+40y-180)\\2(21x-50y-180)[/tex]

Now, multiply all terms with 2

[tex]42x-100y-360[/tex]

So, Simplifying  the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex] we get [tex]\mathbf{42x-100y-360}[/tex]


Related Questions

What is the answer? Please

Answers

Answer:

i would say the 3rd one

Step-by-step explanation:

Given three points, it is possible to draw a circle that passes through all three. The perpendicular bisectors of a chords always passes through the center of the circle. By this method we find the center and can then draw the circle. This is virtually the same as constructing the circumcircle a triangle.

Please Help! I will give brainliest

Answers

Answer:

-6.3n + 8.6

Step-by-step explanation:

you add the terms together

Answer: -6.3n + 8.6

Step-by-step explanation:

What's the answers to theseeeee help need it bye 12:00

Answers

We were just leaving about this

I NEED HELP PLEASE !!!!

Answers

Answer:

NEVER INTERSECT

Hope this Helps

Determine the value of x.

Answers

Answer:

The value of x is 14.75(2)

Step-by-step explanation:

If the vertices of a quadrilateral lie on the circumference of a circle, then this quadrilateral is a cyclic quadrilateralIn the cyclic quadrilateral, every two opposite angles are supplementary (the sum of their measures is 180°)

In the given figure

∵ The vertices of the quadrilateral BCED lie on the circumference of circle A

→ By using the 1st rule above

BCED is a cyclic quadrilateral

∵ ∠B and ∠E are opposite angles in the cyclic quadrilateral BCED

→ By using the 2nd rule above

m∠B + m ∠E = 180°

∵ m∠B = 6x + 10

∵ m∠E = 81.5°

6x + 10 + 81.5° = 180°

→ Add the like terms on the left side

6x + 91.5 = 180

→ Subtract 91.5 from both sides

∵ 6x + 91.5 - 91.5 = 180 - 91.5

∴ 6x = 88.5

→ Divide both sides by 6 to find x

x = 14.75

Find the highest common factor of 55 and 605

Answers

Answer:

55

Step-by-step explanation:

Factors for 605: 1, 5, 11, 55, 121, and 605

Factors for 55: 1, 5, 11, and 55

So the highest common factor they have is 55.

HCF = 55

Find the slope on the graph

Answers

Answer:

im pretty sure it would be 5/3

Step-by-step explanation:

u go up 5 squares and then over 3

Answer:

[tex]\frac53[/tex]

Step-by-step explanation:

Hello!

Slope is calculated by the formula [tex]\frac{Rise}{Run}[/tex].

Rise is the change in y between two pointsRun is the change in x between two points

The two points I'm going to pick are (0,-1) and (3,4).

Now let's find the changes in x and y.

Change in y (-1 and 4) is 5Change in x (0 and 3) is 3

Plugging it into the formula, you get a slope of [tex]\frac53[/tex].

what are the next 2 terms in the sequence

Answers

Answer:

4 1/4 and 4 3/4

Step-by-step explanation:

its adding 2/4 each time

Answer:

4.25 and 4.75

Step-by-step explanation:

just add 0.50

help me yall like sis

Answers

Answer:

x= 10

Step-by-step explanation:

8x+30=110

8x+30-30=110-30

8x=80

8x/8=80/8

x=10

Answer:

x=10

Step-by-step explanation:

Vertical angles are always congruent, those to angles are vertical angles so they are congruent.

Set them equal to each other:

110=8x+30                 subtract 30 from both sides

80=8x                        divide by 8 on both sides

x=10

Hope this helps :)

Simplify these rational expression. x^4+5x^3-2x^2+1/x^2+1

Answers

Answer:

-5x+4

Remainder: x^2+5x-3

Step-by-step explanation:

I hope this is helpful

Find the probability of this event. Enter each answer as a fraction in simplest form, as a decimal, and as a percent.

You draw one card at random from a shuffled deck of 52 playing cards. The deck has four 13−card suits (diamonds, hearts, clubs, spades).

The card is a diamond or a heart.


The probability expressed as a fraction is:
The probability expressed as a decimal is:
.
The probability expressed as a percent is:


Find the probability of this event. Enter each answer as a fraction in simplest form, as a decimal, and as a percent.


2. You draw one card at random from a shuffled deck of 52 playing cards. The deck has four 13−card suits (diamonds, hearts, clubs, spades).

The card is a diamond or a heart.


The probability expressed as a fraction is:
The probability expressed as a decimal is:
.
The probability expressed as a percent is:

Answers

Answer:

There we go!!!

Easy area question

Need fast

Answers

Answer:

Ah I see it's the same it's a little more complex but I can do this as well.

But I can't type bcoz it will make it slow

so I'll write for this.ß


-2x + 6y - X+5+ 2x - 4y -6

Answers

Answer:

2y-x-1

Step-by-step explanation:

use zero property

(-2x. +2x) =0

=6y-x+5-4y-6

collect like terms

6y-4y=2y

=2y-x+5-6

calculate the difference

+5-6=-1

=2y-x-1

good day :)

Help. I need help with these questions ( see image).
Please show workings.

Answers

9514 1404 393

Answer:

  4)  6x

  5)  2x +3

Step-by-step explanation:

We can work both these problems at once by finding an applicable rule.

  [tex]\text{For $f(x)=ax^n$}\\\\\lim\limits_{h\to 0}\dfrac{f(x+h)-f(x)}{h}=\lim\limits_{h\to 0}\dfrac{a(x+h)^n-ax^n}{h}\\\\=\lim\limits_{h\to 0}\dfrac{ax^n+anx^{n-1}h+O(h^2)-ax^n}{h}=\boxed{anx^{n-1}}[/tex]

where O(h²) is the series of terms involving h² and higher powers. When divided by h, each term has h as a multiplier, so the series sums to zero when h approaches zero. Of course, if n < 2, there are no O(h²) terms in the expansion, so that can be ignored.

This can be referred to as the power rule.

Note that for the quadratic f(x) = ax^2 +bx +c, the limit of the sum is the sum of the limits, so this applies to the terms individually:

  lim[h→0](f(x+h)-f(x))/h = 2ax +b

__

4. The gradient of 3x^2 is 3(2)x^(2-1) = 6x.

5. The gradient of x^2 +3x +1 is 2x +3.

__

If you need to "show work" for these problems individually, use the appropriate values for 'a' and 'n' in the above derivation of the power rule.

Please help desperate due today please help

Answers

Answer should be 26!

Only answer the part where it says her bonus will be______

Answers

Her bonus would be four dollars. I hope this helped!

Answer:

her bonus will be a big paycheck of 99999

please find the x for these ​

Answers

Answer:

x=b-8a/8

x=b+8a/a

x=2-2c/c

So can someone just help me solve this and tell me which terms belong together....ty-

Answers

48, -5, 37, and 5 go together

You earn 4x+12 points after completing x levels of a Vedio game and then lose 2x-5 points. Write an expression that represents the total number of points you have now

Answers

Answer: 2x+17

4x+12-(2x-5)
4x+12-2x+5
2x+17

Suppose y varies directly with x. Write an equation if y = 4 when x = 0.4.

Answers

yes correct
0.04
step by step explanation:
i’m here for the points sorry

Solve the following multi-step equation: 4(2 - 4x) - 3x = 65

Answers

Answer:

x = -3

Step-by-step explanation:

4(2 - 4x) - 3x = 65

Distribute the 4.

8 - 16x - 3x = 65

Combine like terms.

8 - 19x = 65

-19x = 57

Divide by -19 to isolate x.

x = 57/-19

x = -3

Check.

4(2 - 4(-3)) - 3(-3) = 65

4(2 - (-12) + 9 = 65

4(14) + 9 = 65

56 + 9 = 65

65 = 65

The solution of the given linear equation 4(2 - 4x) - 3x = 65 is  -3.

Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.

Example = 2x +4 = 12

here, 4 and 12 are constants and x is variable.

The solution of the equation 4(2 - 4x) - 3x = 65 is calculated as:

4(2 - 4x) - 3x = 65

Multiply the expressions inside the brackets,

8 - 16x -3x = 65

8 - 19x = 65

Subtract 8 from both the sides,

-19x = 65- 8

-19x = 53

Divide both side by -19

[tex]x = \dfrac{-53}{19}[/tex]

Thus, the value of x is -3.

Learn more about equations here:

https://brainly.com/question/14686792

#SPJ6

Will give brainliest!!!The measure of an exterior angle of a regular 20​-gon is?

Answers

[tex]\huge\sf{Answer :- }[/tex]

Given :-

Sides of the polygon = 20

To Find :-

Exterior angle of the polygon

Formula :-

Exterior angle of the polygon = ( 360/ n )°

where,

n = number of sides of the polygon ( 20 sides)

Solution :-

By substituting values according to the formula

➙ ( 360/ 20 )°

➥ 18°

Hence, The exterior angle of the polygon is 18°

Answer:

answer of this qn will 360÷20= 18degree

Help !!!
See question in image.
Please show workings .

Answers

Answer:

see explanation

Step-by-step explanation:

Given f(x) then the derivative f'(x) is

f'(x) = lim(h tends to 0 ) [tex]\frac{f(x+h)-f(x)}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{4(x+h)^2-2-(4x^2-2)}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{4(x+h)^2-2-4x^2+2}{h}[/tex]

      = lim( h to 0 ) [tex]\frac{4x^2+8hx+4h^2-4x^2}{h}[/tex]

      = lim( h to 0 ) [tex]\frac{8hx+4h^2}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{4h(2x+h)}{h}[/tex] ← cancel h on numerator/ denominator

      = lim ( h to 0 )  4(2x + h) ← let h go to zero

f'(x) = 8x

If angle A =90 degree , b=1 cm and a =2 cm then solve the following right angled triangle ABC ​

Answers

Answer:

Angle A = 90 degrees, side a = 2.Angle B = 30 degrees, side b = 1.Angle C = 60 degrees, side c = [tex]\sqrt{3}[/tex].

Side c:

If angle A is 90 degrees, side a is the hypotenuse.[tex]c^{2} + b^{2} = a^{2}[/tex] <--- this is NOT the correct way to write the Pythagorean theorem. I changed it to fit the side lengths. Normally, it is [tex]a^{2} + b^{2} = c^{2}[/tex], where c is the hypotenuse. Since a is the hypotenuse, I switched the variables.[tex]c^{2} + (1)^{2} = (2)^{2}[/tex] [tex]c^{2} + 1 = 4[/tex] [tex]c^{2} = 3[/tex][tex]c = \sqrt{3}[/tex]

Finding the angles:

In a 30-60-90 right triangle, the...Shortest leg = xLongest leg = [tex]x\sqrt{3}[/tex] Hypotenuse = 2x In this case, the shortest leg is 1, the longer leg is [tex]\sqrt{3}[/tex] (or [tex]1*\sqrt{3}[/tex]), and the hypotenuse is 2 (or [tex]2*1[/tex]).As a result, this is a 30-60-90 triangle -- angle B is 30 degrees while angle C is 60 degrees.


Mario's plumbing service
Charges $40 to make a house
Call plus $25 an hour.
y=40+25h
Fill in the chart

Answers

Answer:

So, hour 0 and charge is 0. hour 1 is 25, hour 2 is 50, hour 3 is 75, hour 4 is 100 and hour 5 is 125

Step-by-step explanation:

For every hour, add 25 in each box.

If you spin the spinner, what is the probability of the pointer landing in the y section

Answers

Answer:

1/8

Step-by-step explanation:

Cos(A) = ?
13/5
12/5
12/13
5/13

Answers

Answer:

cosA = [tex]\frac{5}{13}[/tex]

Step-by-step explanation:

cosA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{5}{13}[/tex]

A circle has an arc whose measure is 80° and whose length is 88. What is the diameter of the circle?

Answers

Answer:

length of arc=80/360×2πr

88×360=80×2×22/7×r

31680×7/(80×2×22)=r

r=221760/3520=63

diameter=2r=2×63=126

If I got 562 on my 7th grade Math Diagnostic then what grade level am I?

Answers

Answer:

7th grade, I think

I looked it up but I am not 100% sure

Please help fast!!

composition of functions

g(x)=2x-5 h(x)=x^2-2

find g(h(-8))

Answers

Answer:

g(h(- 8)) = 119

Step-by-step explanation:

Evaluate h(- 8), then substitute the result obtained into g(x), that is

h(- 8) = (- 8)² - 2 = 64 - 2 = 62, then

g(62) = 2(62) - 5 = 124 - 5 = 119

G (h(-8)) = 118

Hope this helps
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