if a(2x-3) = bx+5 then the solution for x in terms of a and b is

Answers

Answer 1

Answer:

x=(3a+5)/(2a-b)

Step-by-step explanation:

We spread the a to the 2x and -3 first,

2ax -3a= bx+5 5ax

By adding 3a, we pass the -3a over

2ax=bx+5+3aa bx+5+3aa

We'll pass the bx over the bx, then

2ax-bx=5+3aa-bx=5

Now we will party like this on the left side,

5+3a) x(2a-b)=5+3a)

Everything we have to do to find x is to separate both sides by (2a-b)

x=(3a+5)/=(3a+5)/ (2a-b)

Answer 2

Answer:

x = (5 + 3a)/(2a - b)

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Step-by-step explanation:

Step 1: Define equation

a(2x - 3) = bx + 5

Step 2: Solve for x

Distribute a:                              2xa - 3a = bx + 5Add 3a on both sides:             2xa = bx + 5 + 3aSubtract bx on both sides:      2xa - bx = 5 + 3aFactor out x:                             x(2a - b) = 5 + 3aIsolate x:                                   x = (5 + 3a)/(2a - b)

Related Questions

What is the GCF for each set of numbers 15 and 35. show ur work

Answers

15
3 x 5 or 5 x 3
35
5 x 7 or 7 x 5
So the answer is 5
GCF= 5
Factors of 15: 1,3,5,15, Factors of 35: 1,5,7,35

7X+9= - 75
Find out X​

Answers

Answer:

x= -12

Step-by-step explanation:

7x + 9=-75

     -9 = -75

  7x =  -84

Garrett was given a sculpture that needs to have lights put around the outside only. How many inches of lights will be needed?

Answers

Answer:

204 in

Step-by-step explanation:

I can't really explain this other than that you have to add all the sides and the outside of this shape. For the hypotenuse you use the formula [tex]a^2+b^2=c^2[/tex]. Now just fill in what you know.

[tex]12^2+9^2=x^2\\144+81=x^2\\225=x^2\\x=15[/tex]

So we have:

length: 12in

base: 9in

hypotenuse: 15in

So now we do 12+15+9+15+12+15+9+15+12+15+9+15+12+15+9+15. Once we do all that we get 204 in.

Help me please fast ​

Answers

Answer:

Step-by-step explanation:

[tex]\frac{5}{x-3}+\frac{2}{x+1}=3 \\\\\frac{5(x+1)+2(x-3)}{(x-3)(x+1)} =3\\\\5x+5+2x-6=3(x-3)(x+1)\\\\7x-1=3(x^2+x-3x-3)\\\\7x-1=3(x^2-2x-3)\\\\7x-1=3x^2-6x-9\\\\0=3x^2-6x-7x-9+1\\0=3x^2-13x-8[/tex]

Hence proved!

At the indicated point find (a) the slope of the curve and (b) an equation of the tangent line.
f(x)= 6x at (-2,-3)

Answers

Answer:

Slope of the Curve: [tex]f'(x)=\frac{-6}{x^2}[/tex]

Equation of Tangent Line: y + 3 = -3/2(x + 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)  

x₁ - x coordinate y₁ - y coordinate m - slope

Calculus

The definition of a derivative is the slope of the tangent line.

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Quotient Rule: [tex]\frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]

Step-by-step explanation:

Step 1: Define

[tex]f(x)=\frac{6}{x}[/tex]

Step 2: Take Derivative

Quotient Rule:                    [tex]f'(x)=\frac{0(x)-6(1)}{x^2}[/tex]Multiply:                              [tex]f'(x)=\frac{0-6}{x^2}[/tex]Subtract:                             [tex]f'(x)=\frac{-6}{x^2}[/tex]

Step 3: Find Instantaneous Derivative

Substitute in x:                     [tex]f'(x)=\frac{-6}{(-2)^2}[/tex]Exponents:                           [tex]f'(x)=\frac{-6}{4}[/tex]Simplify:                               [tex]f'(x)=\frac{-3}{2}[/tex]

This value shows the slope of the tangent line at the exact value of x = 2.

Substitute:                    y + 3 = -3/2(x + 2)

What is X?
Please help

Answers

Answer:

70

Step-by-step explanation:

Given is an isosceles triangle.

Angles opposite to equal sides are equal.

Therefore,

x° + x° + 40° = 180°

2x° = 180°- 40°

2x° = 140°

x°= 140°/2

x° = 70°

x = 70

Stocks that pay little or no cash dividends but are attractive to investors because of expected stock price increases are known as: Multiple Choice Small capital stocks. Mid capital stocks. Growth stocks. Large capital stocks. Income stocks.

Answers

Answer:

Growth stocks.

Step-by-step explanation:

Growth stocks are stocks that pay little or no cash dividends but are attractive to investors.

Given that,
To determine the stocks that pay little or no cash dividends but are attractive to investors because of expected stock price increases.

What is the investment?

Investment is defined as when an individual is spend their money on something that returns him or her higher money than the money they invest.

Here,
In the stocks that pay little or no cash dividends but are attractive to investors because of expected stock price increases are known as growth stocks.

Thus, growth stocks are stocks that pay little or no cash dividends but are attractive to investors.

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HURRY WILL MARK YOU BRAINLIEST RIGHT ANSWER ONLY

Answers

Answer:

b

Step-by-step explanation:

i agree with the person above me

Guys can anyone help me
I will give brainliest :)

Answers

it's ur opinion bro u do it

urgent help ! similar figures use the similarity relationship to find the indicated value

Answers

Answer:

FE = 28 and YZ = 28

Step-by-step explanation:

In similar triangles the ratios of corresponding sides are equal.

(4)

[tex]\frac{BC}{FG}[/tex] = [tex]\frac{BD}{FE}[/tex] , substitute values

[tex]\frac{39}{4x+2}[/tex] = [tex]\frac{42}{5x-2}[/tex] ( cross- multiply )

39(5x - 2) = 42(4x + 2) ← distribute parenthesis on both sides

195x - 78 = 168x + 84 ( subtract 168x from both sides )

27x - 78 = 84 ( add 78 to both sides )

27x = 162 ( divide both sides by 27 )

x = 6

Thus

FE = 5x - 2 = 5(6) - 2 = 30 - 2 = 28

(5)

[tex]\frac{ST}{SZ}[/tex] = [tex]\frac{RT}{YZ}[/tex] , substitute values

[tex]\frac{40}{35}[/tex] = [tex]\frac{3x-7}{2x+2}[/tex] ( cross- multiply )

35(3x - 7) = 40(2x + 2) ← distribute parenthesis on both sides

105x - 245 = 80x + 80 ( subtract 80x from both sides )

25x - 245 = 80 ( add 245 to both sides )

25x = 325 ( divide both sides by 25 )

x = 13

Thus

YZ = 2x + 2 = 2(13) + 2 = 26 + 2 = 28

Following are the solution to the given graph points:

For question 4:

The ratios of equivalent edges of identical triangles are equal (4)

[tex]\to \frac{BC}{FG} = \frac{BD}{FE}[/tex]

Putting given value

[tex]\to \frac{39}{4x+2} = \frac{42}{5x-2}\\\\\to ({39}) ({5x-2}) = ({4x+2}) ({42})\\\\\to 195x -78= 168x+84\\\\\to 195x - 168x=84+78\\\\\to 27x=162\\\\\to x=\frac{162}{27}\\\\\to x=6[/tex]

Therefore,

[tex]\to FE = 5x - 2 = 5(6) - 2 = 30 - 2 = 28[/tex]

For question 6:

[tex]\to \frac{ST}{SZ} = \frac{RT}{YZ}[/tex]

Putting given value

[tex]\to \frac{40}{35} = \frac{3x-7}{2x+2}[/tex]

[tex]\to \frac{40}{35} = \frac{3x-7}{2x+2}\\\\\to 40(2x+2) = (35)(3x-7)\\\\\to 80x +80 = 105x-245 \\\\\to 80+245= 105x-80x\\\\\to 325= 25x\\\\ \to x= \frac{325}{25}\\\\\to x= 13[/tex]

Therefore,  

[tex]\to YZ = 2x + 2 = 2(13) + 2 = 26 + 2 = 28[/tex]

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Easy points! Please help! Thanksss

Answers

Answer:

say no its not a right triangle

Step-by-step explanation:

bc u see the sides

and if u need the value of it its 432

Answer:

No

Step-by-step explanation:

You can check to see if the triangle is a right triangle or not by using the pythagorean theorem, which is a^2+b^2=c^2.

C is always the hypotenuse, which is the longest side of the triangle. So plug in 6 and 8 for a and b and 9 for c. Square them, and if the sum of a and b equals what c is, then it is a right triangle. Otherwise, it is not.

So let's check this triangle.

6^2+8^2= ?

36 + 64 = 100

9^2 is 81.

36 + 64 does not equal 81, so this is not a right triangle.

Emily bought 24 cans of soup for $54. Who paid the same price per can as Emily?
A) Candace bought 12 cans of soup for $26.
B) Ben bought 8 cans of soup for $18.
C) Raul bought 3 cars of soup for $6.
D) Devon bought 6 cans of soup for $14

Answers

Answer:

B

Step-by-step explanation:

as 18 divided by 8 is 2.25

and 54 divided by 24 is 2.25

The required only Ben paid the same price per can as Emily, which is $2.25. Option B is correct.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

To find out who paid the same price per can as Emily, we need to find the price per can for each option and compare it to Emily's price per can.

Emily's price per can:

$54 ÷ 24 = $2.25

Option A:

Candace bought 12 cans of soup for $26.

Price per can:

$26 ÷ 12 = $2.17

Similarly,

Option B:

Price per can = $2.25

Option C:

Price per can = $2.00

Option D:

Price per can = $2.33

We can see that only Ben paid the same price per can as Emily, which is $2.25.

Learn more about arithmetic here:

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20 1/4% of 3
with work plz thx

Answers

Answer:

0.6075

Step-by-step explanation:

Assuming that it is '20 1/4' as said:

20 1/4 = 20.25

(20.25) * 3 = 0.6075

Hope this helps.

Pamela is going on a road trip with some friends. If they drive at an average rate of 60 miles per hour, how far will they travel in 3 1/2 hours?

Answers

Answer:

i think they would at least travel 300 06 18,000 mph i might be wrong so dont bully me

Step-by-step explanation:

Solve this question g(3)=

Answers

Answer:

4

Step-by-step explanation:

Where g is 3, the value is 4.

To find the values, the number in the parentheses tells you the x coordinate of the point. Find the point that corresponds to the coordinate to see where it lines up on the y-axis. The answer is the y-value.

So, another way of looking at is x(3). Where x is 3, y is 4.

Simplify: 5c + 7d - 2c -3d

Answers

Answer:

3c+4d

Step-by-step explanation:

5c-2c=3c

7d-3D=4d

3c+4d

The answer is 3D+4d I hope that this helps you

if you want brainliest give me the correct answer please

Answers

15 miles 3 hours 6 minutes 23 seconds

Learn with an example
Mary cycles 3 kilometers during each trip to work. How many trips will Mary have to make
to cycle a total of 36 kilometers?

Answers

Answer:12

Step-by-step explanation:

36:3=12

12

Explanation:
36 / 3 = 12

answer with the correct answer please6

Answers

Answer:

The slope of the line would be 1/3. The line is going up 1 unit and right 3 units.

Anyone know the movie queen of the south well i wanna be Teresa shes so powerful
156 divided by 4

Answers

Answer:

39

Step-by-step explanation:

Answer:

thats the cheap version of la reina del sur

a mexican series

Max earns $8 per hour working at his dad's automotive shop. He is
saving his earnings to buy a car stereo system that costs $240. Which
graph best represents the problem situation and could be used to
predict the number of hours Max needs to work in order to buy the car stereo system?
у

Answers

Answer:

$94

Step-by-step explanation:

hope this helps

Carlos' monthly office budget is $250. He needs to buy ink cartridges, which cost $40 a piece. he will save at least $50 of his budget for reams of paper. what is the range of ink cartridges he can buy and still have enough money left over for reams of paper?

Answers

Answer:

26

Step-by-step explanation:

yeah

Bruce is in charge of loading a big ship. He
watched his workers load 202 containers of fruit, 197 containers of bottled water, 402 containers of clothing, and 506 containers of wood. Then he realized that 299 of the containers were loaded by mistake, so those were taken off. Bruce works out that 1,606 containers are on the ship now. Does that sound about right?

1. yes

2. no, it is much too high

3. no, it is much too low​

Answers

Answer:

2 if u add the values given you will notice it is high

HELPPPPP!!! PLEASEEEEEEE
Three friends go grocery shopping together, and each buys the same kind of strawberries. Akio buys 2 pounds (lb) and pays $3.00. Gordon buys 3 pounds and pays $4.50. Maria buys 4 pounds and pays $6.00. Identify the graph and unit price that represent the strawberry costs.

Answers

Answer:  $1.5

Step-by-step explanation:

$3.00 divided by 2 pounds is $1.5

$4.50 divided by 3 pounds is $1.5

and $6.00 divided by 4 pounds $1.5

Write each of the following in completely factored form. These will involve slightly more difficult final trinomial expressions 15x^2-110x+120

Answers

Answer: 5⋅(x−6)⋅(3x−4)

Hope this helps!

Answer:

5⋅(x−6)⋅(3x−4)

Step-by-step explanation:

Gabriel is at the grocery store, and wants to figure out his total cost before he gets to the register. He bought 2.5 pounds of apples that are x dollars a pound and 2 bags of lettuce for y dollars each. Gabriel remembers he has a coupon for $2 off his bill.

Gabriel has $30 to pay for the groceries. What simplified expression would represent the amount of change he should receive?
2.5x + 2y + 28
28 – 2.5x – 2y
32 + 2.5x + 2y
32 – 2.5x – 2y

Answers

Answer: The awnser is D

Step-by-step explanation: gabriel has 30 dollars and a 2 dollar off coupon. he can add the coupon to his total amount making 32 dollars. the money he spends on groceries is subtracted from that amount and is left with 32-2.5x-2y.

Answer:

answer is 32-2.5x-2y

Step-by-step explanation:

Help please I don’t understand :(

Answers

You know that the two base angles on the left side are congruent so both sides are 56. Do 56*2; 180-112=68, so you know all of the first triangles angles.On the triangle on the right, you have to do 56+x=180 since you know the other angle. You know the top angle is 124 so the two bottom angles are 28.

x=28

+Rearrange the following formulae to make the letter in red the subject​

Answers

Answer:

where is the formula in this question

can you show us the formula please


A line passes through the point (-9,-8)
and is parallel to the graph y = - 4x + 4.
Write the equation that would represent
this line.

Answers

Answer:

y = -4x - 44

Step-by-step explanation:

Slope-intercept form: y = mx + b

Given equation: y = -4x + 4

Given point: (-9, -8)

To write the equation in slope-intercept form, we need to know the slope(m) and the y-intercept(b).

When two lines are parallel, their slopes are the same. Since the slope of the given line is -4, then the slope of the line parallel to it is also -4.

Now that we know the slope of the line, input the values of the slope and the given point into the equation format and solve for b:

y = mx + b

-8 = -4(-9) + b

-8 = 36 + b

Subtract 36 from both sides of the equation to isolate b:

-8 - 36 = 36 - 36 + b

-44 = b

The y-intercept is -44.

Now that we know the slope and the y-intercept, we can write the equation:

y = -4x - 44

There are 48 girls and 64 boys in the school choir. The choir teacher plans to arrange the students in equal rows. Only girls or boys will be in each row. What is the greatest number of students that could be in each row?

A.16

B.12

C.8

D.4

Answers

Answer:

C.8

Step-by-step explanation:

48+64 = 112

112/14=8

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