if a/3=b/2 what are the following ratios? 3a-3b/a-b

Answers

Answer 1

Answer:

[tex]\dfrac{3a-3b}{a-b}=\dfrac{3}{1}[/tex]

Step-by-step explanation:

[tex]\text{Given}\\\\\dfrac{a}{3}=\dfrac{b}{2}\qquad|\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup\cdot\dfrac{a}{3\!\!\!\!\diagup}=3\cdot\dfrac{b}{2}\\\\a=\dfrac{3b}{2}[/tex]

[tex]\text{Substitute to}\ \dfrac{3a-3b}{a-b}:\\\\\dfrac{3\cdot\frac{3b}{2}-3b}{\frac{3b}{2}-b}=\left(\dfrac{9b}{2}-3b\right):\left(\dfrac{3b}{2}-\dfrac{2b}{2}\right)=\left(\dfrac{9b}{2}-\dfrac{6b}{2}\right):\left(\dfrac{3b-2b}{2}\right)\\\\=\left(\dfrac{9b-6b}{2}\right):\dfrac{b}{2}=\dfrac{3b\!\!\!\!\diagup}{2\!\!\!\!\diagup}\cdot\dfrac{2\!\!\!\!\diagup}{b\!\!\!\!\diagup}=\dfrac{3}{1}[/tex]

Other method:

[tex]\dfrac{3a-3b}{a-b}=\dfrac{3(a-b)}{a-b}\qquad|\text{cancel}\ (a-b)\\\\=\dfrac{3}{1}[/tex]


Related Questions

Is y=3x-8 proportional

Answers

Step-by-step explanation:

YES! HOP THIS HELPS

I think sooooooooooo

WILL MARK BRAINLEIST PLEASE HELP

Answers

Answer:

-8 is the real answer

Step-by-step explanation:

use the slope-intercept form to graph y=3/5x-3

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Answer:

Step-by-step explanation:

Help me plzplzplzplz1

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Answer:

The answer is 400 when you round it off to the nearest hundred.

Dissolution of 2Y +9 equals four is

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Answer:

11

Step-by-step explanation:

I need help with this question ASAP

Answers

It would be the first, third, fifth, and sixth one
.
Hope this helps :)

what is 10m-2?
Variables are really hard for me so if anyone can help me with this problem that would be really great

Answers

Answer:

tytyty

Step-by-step explanation:

Rotate ELMO 270° clockwise about the origin.

What are the coordinates of E’?
a. (1, 1)
b. (-1, 1)
c. (-1, -1)
d. (1, -1)

Answers

The answer is in fact D

can someone answer this

Answers

Answer: It's obviously D.

Step-by-step explanation:

I think it’s C because there’s no value so it would be a variable

Which inequalities have the solution set graphed on the
number line? Check all that apply.
O x2 -1.5
Oxs -1.5
D -1.5 SX
D -1.5 2 x
Oxs -2.5
O x 25
25 2x

Answers

Answer:

B,C

Step-by-step explanation:

The Bigtown football team outscored its opponents 5:2 last season.
If their opponents scored 38 points, how many points did Bigtown
score?

Answers

Step-by-step explanation:

5:2 add to find total ratios 7

opponents=2/7=38

bigtown=5/7=95

Answer: The big town team scored 95 points.

Step-by-step explanation: Given that the big town football  team outscored its opponents 5:2 last season and their opponents scored 38 points.

We are to find the points scored by big town team.

Let 5x and 2x represents the points scored by big town team and their opponents.

Then, according to the given information, we have

2r = 38

r = 38/2

r = 19

Therefore, the points scored by big town team is given by

5 X 19 = 95.

Thus, the big town team scored 95 points.

Identify the slope-intercept form and the graph of the line described by the equation 2x−y=7.

Answers

answer :
2x - y = 7
-y = -2x + 7
y = 2x - 7 <— slope-intercept form

I really need the help?

Answers

Answer:

a=c because opposite vertices are always equal to one another

Step-by-step explanation:

Noah says that to find 20% of a number he divides the number by 5. For example, 20% of 60 is 12, because 60÷5=12. Does Noah’s method always work? Explain why or why not.

Answers

Answer:

yes

Step-by-step explanation:

because if you divide what you said its will have a sum

unit 1 test algebra 2

Answers

6) (-7,4) D or (4)

7) -7,0,5 A or (1)

8) 3x +5 C or (3)

9) 2 B or (2)

6) The solution set of the equation x² + 8x - 15 = 5x + 13 is {-7, 4}.

7) The zeroes of the expression 2x (x - 5) (x + 7) are {-7, 0, 5}.

8) The expression (x + 5) (x + 8) + (x + 5)(2x - 3) can be written as a product of (x + 5) and (3x + 5).

9) There are 2 integer solutions on the interval 0 ≤ x ≤ 10 for the equation x³ - 5x² + 2x + 13 = 5.

We have,

6)

x² + 8x - 15 = 5x + 13

Rearranging the equation:

x² + 8x - 5x - 15 - 13 = 0

x² + 3x - 28 = 0

Now, factorize the quadratic equation:

(x + 7)(x - 4) = 0

Setting each factor equal to zero:

x + 7 = 0 or x - 4 = 0

Solving for x:

x = -7 or x = 4

7)

2x (x - 5) (x + 7) = 0

Setting each factor equal to zero:

2x = 0 or x - 5 = 0 or x + 7 = 0

Solving for x:

x = 0 or x = 5 or x = -7

8)

(x + 5) (x + 8 + 2x - 3)

Simplifying the expression inside the parentheses:

(x + 5) (3x + 5)

9)

x³ - 5x² + 2x + 13 = 5

Substitute each integer value from 0 to 10 into the equation and count the number of solutions.

Substituting each integer value,

x = 0,

x³ - 5x² + 2x + 13 = 5

0 - 0 + 0 + 13 = 5

13 = 5

Not true.

Similarly,

x = 2,

x³ - 5x² + 2x + 13 = 5

8 - 20 + 4 + 13 = 5

25 - 20 = 5

5 = 5

True.

x = 4,

x³ - 5x² + 2x + 13 = 5

64 - 80 + 8 + 13 = 5

85 - 80 = 5

5 = 5

True.

There are two integer solutions:

x = 2 and x = 4.

Therefore,

The solution set of the equation x² + 8x - 15 = 5x + 13 is {-7, 4}.

The zeroes of the expression 2x (x - 5) (x + 7) are {-7, 0, 5}.

The expression (x + 5) (x + 8) + (x + 5)(2x - 3) can be written as a product of (x + 5) and (3x + 5).

There are 2 integer solutions on the interval 0 ≤ x ≤ 10 for the equation x³ - 5x² + 2x + 13 = 5.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ4

Does someone know the answers to question 12 and 13 ??? GIVING 30 POINTS

Answers

Answer:

Step-by-step explanation:

For 12 if its a parrell line then the slope of the two lines have to be the same. Since the slope is 3/5 then the answer is A because the slope in A is  also 3/5

for 13 if its perpendicular, then the slope has to be the opposite sign and flipped. so for example if its a negative then the slope has to be a positive and if the slope is 1/2 you have to flip it which is 2/1 and 2/1 equals 2.

so in this one if the slope is 3/5 we have to flip it making it 5/3 and the opposite of a positive is a negative so it would be -5/3, so the answer is C.

Answer:

12. A

13. C

Step-by-step explanation:

12. to be parallel needs same slope

13. to be perpendicular flip slope and if positive change to negative

tan y+cot y= sec y x csc y
prove the identity
(y is the variable)

Answers

Answer:

Step-by-step explanation:

tany+coty =

[tex]\frac{siny}{cosy} + \frac{cosy}{siny}[/tex]·

[tex]\frac{sin^{2}y + cos^{2}y }{cosysiny}[/tex]

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

[tex](secy) (cscy)[/tex]

So how are 1/2 and 4/8 Similar?

Answers

Answer:They both equal 1 half

Step-by-step explanation:To put it a lil more simply, 1/2 = 0.5 and 4/8 also = 0.5

Answer:

1/2 is 4/8. 1/2 is just 4/8 but simplified. So 12/36 simplified is 1/3, 24/48 is 1/2

8а +а – 3 = 6а – 2а - 3

Answers

Answer:

a=0

Step-by-step explanation:

Answer: a=0

Step-by-step explanation:

8a+a−3=6a−2a−3

Step 1: Simplify both sides of the equation.

8a+a−3=6a−2a−3

8a+a+−3=6a+−2a+−3

(8a+a)+(−3)=(6a+−2a)+(−3)(Combine Like Terms)

9a+−3=4a+−3

9a−3=4a−3

Step 2: Subtract 4a from both sides.

9a−3−4a=4a−3−4a

5a−3=−3

Step 3: Add 3 to both sides.

5a−3+3=−3+3

5a=0

Step 4: Divide both sides by 5.

5a /5= 0/5

Answer: a=0

(hope that was helpful )

THIS IS FOR 60PTS SO ANSWER Explain how you got your answer 4x-20+2x-12=10

Answers

Answer:

x = 0.333...(repeating or .34 if u round)

Step-by-step explanation:

add 4x and 2x= 6x

20- 12 = 8

6x + 8 = 10

  -8      -8

6x = 2

6      6

             

x = 0.333...(repeating or .34 if u round)

Find the slope between (9,-2) and (-1,5)

Answers

Answer:

7/-10

Step-by-step explanation:

subtract

5-(-2) = 7

-1-9 = -10

Answer:

The slope is -0.7 or -7/10

Step-by-step explanation:

For 10 x values decreased, the y values go up 7 values. So the slope is -7/10 or -0.7

I hope that this helps! :)

Which are equivalent equations? Select two correct answers.

d1 = 2Ad2
d1 = d 1 equals StartFraction 2 A Over d 2 EndFraction.
d2 = d 2 equals StartFraction d 1 Over d2 A EndFraction.
d2 = d 2 equals StartFraction 2 A Over d 1 EndFraction.
d2 = 2Ad1

Answers

Answer:

B and D if not sorry

Step-by-step explanation:

Answer:

b and d

Step-by-step explanation:

. Consider the following standards.
MAFS.912.F-BF.1.1b: Combine standard function types using arithmetic operation. For example, build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model. MAFS.912.F-BF.1.1c: Compose functions. For example, if T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon as a function of time, then T(h(t)) is the temperature at the location of the weather balloon as a function of time.
Part A: Describe the difference in combining functions and composing functions.
Part B: Give a real-world example of combining functions.
Part C: Give a real-world example of composing functions.

Answers

Part A:

A combined function is defined by combining with existing functions using addition, subtraction, multiplication or division.

A composite function is created by plugging one function into another.

Part B:

The class is selling sweaters an. the cost of each sweater is 8 dollars. There is a fee to create the design. The class plans to sell the sweaters for 12 dollars.

Part C:

Amy works at a baked goods store. She receivers a weekly salary of 350 dollars and is payed 3 percent commission on weekly sales over 1,500 dollars.

oof that took a while lol

1
Which of the following represents a
fraction that converts to a repeating
decimal with a value less than one?
A) 1/2
B) 4/3
C) 9/10
D) 479

Answers

Answer:

479

Step-by-step explanation:

It’s D Have Ah Good Day

Please help me and make sure to round the answers to the nearest hundred. I’ll give you brainiest!

Answers

Answer:

add 2 zeros at the end of all of them

Step-by-step explanation:

[{(-72)÷(-2)}2-(-7)]x(-10)

Answers

Answer:

-790

Step-by-step explanation:

Answer:

-5040

Step-by-step explanation:

Start inside out.

1) -72/-2=36 now this is still inside the braces so you have to multiply times 2

2)36*2= 72 and now remember that negative times negative is positive

3)72*7=504

multiplies times -10= -5040

You can also think about this another way

(-72/-2)(2) the two's go away and you stay with -72/-1, wich is equal to 72 and then multiply that by 7 and them times -10.

I'M GIVING BRAINLIEST
I just need help with the equation, you don't have to solve it

Answers

Answer:

OOF

Step-by-step explanation:

Answer: i don't actually know, sorry but i need to get my points so i'm typing this.

Step-by-step explanation: none

0x + 8 = 5x - 3 What is X?

Answers

Answer:

x= 11/5 OR 2.2

Step-by-step explanation:

Answer: x= 2.2

Step-by-step explanation:

0x+8=5x-3

    +3     +3

0x+11=5x

5    5   5

x=2.2

Are 3/5 and 18/32 equivalent ratios? Explain how you know (be specific). If you just say yes or no you will not get full credit. *

Answers

Answer:

No they are not equivalent,

Step-by-step explanation:

3 x 6 is 18 and 5 x 6 is 30,  not 32 so it is non-equivalent

⚠️ PLEASE I WANNA FINISH

Answers

Answer:

m = 0.666667*​x+​1 is the answer

Step-by-step explanation:

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