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

Which set of ordered pairs represents y as a function of X? a{(-9, 2), (0, 6), (1, -2), (-3, 6)} b{(-1,0), (4, 3), (-7, -3), (-1, -8)} c{(3, 2), (-4,-2), (3, 1), (-4,1)} d{(5, 4), (2, 3), (1, 1), (2,4)}​

Answers

A is your answer

Explanation:

When dealing with functions, x’s never repeat.

Games Galore Super Store buys the latest video game at a wholesale price of $58.00. The markup rate at Game’s Galore Super Store is 40%. You use your allowance to purchase the game at the store. How much will you pay, not including tax?

Answers

Answer:

Step-by-step explanation:

30 + .40(30) =  30(1 + .40)  = 30(1.4)  = $42

Find the value of x for which d ||m.

Answers

Answer:

29

Step-by-step explanation:

marking brainliest if correct
Solve the PROPORTION
3/4 = 1/2y
y=

Answers

Answer:

y=1 1/2 (fraction)

or

y=1.5 (decimal)

Step-by-step explanation:

We want to get y alone, so we need to get rid of the 1/2 in front of it. To do that we can multiply each side by 2 since 1/2 + 1/2 = 1.

3/4= 1/2y

multiply each side by 2

To multiply 3/4 by 2 you need to multiply the numerators and then multiply the denominators

2•3=6 & 4 • 1 =4

6/4

simplify

y=1 1/2

(If you need it in decimal form it would be y=1.5)

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

Is 3.1141141114 rational or irrational?

Answers

stops or repeats, the number is rational. does not stop and does not repeat, the number is irrational.

please help asap!! thank you :)

Answers

Answer:

About 3800

Step-by-step explanation:

Help please it is math

Answers

B is incorrect. I may be using the wrong word, but addition and multiplication are commutative, so the numbers can be added in any order or multiplied in any order and you’d still get the same sum or product. However, you can’t do this with subtraction or division as the difference or quotient will be different.

What is the value of x

Answers

Answer: The answer is 130 Degrees

Step-by-step explanation:

it is 130 degrees! hope this helps

PLEASE HELP ME I NEED THE ANSWER!!!!!!!!!!!!!

The floor of an elevator in a building is 30 feet above ground level. It travels down to the lower level of the building, where the floor is 10 feet below ground level. What distance has the elevator’s floor traveled?

Answers

Answer:

40 feet

Step-by-step explanation:

You have to add the 30 feet above to the 10 feet below to get 40

Your Answer is the elevator traveled 40 Feet.

airplane a traveled 1273 miles in four hours.For airplane b y=621 x/2 represents rate of speed over the same four hours wichair plane traveled at a faster rate and by what factor?round to the nearest hundredth

Answers

Answer: Airplane A by a scale factor of 1.02

Step-by-step explanation:

Airplane A: 1273/4=318.25

Airplane B: Rate is the slope of equation, 621/2=310.5

So,

318.25/310.5=1.0249

Airplane 'a' is faster than airplane 'b' by a factor of  1.03 times.

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, An airplane 'a' traveled 1273 miles in four hours.

∴ The airplane 'a' traveled (1273/4) = 318.25 miles per hour.

For airplane b y = (621x)/2 + 0b represents the rate of speed over the same four hours

∴ The rate of change per hour for airplane 'b' is (621/2) = 310.5 miles.

So, airplane 'b' is faster than airplane 'a' by a factor of (318/25/310.5) = 1.0257 = 1.03 times.

learn more about lines and slopes here :

https://brainly.com/question/3605446

#SPJ6

Select the correct answer. If we divide the polynomial by , what will be the remainder?

Answers

Answer:

we don't see the questions that goes for the selections

Any help is appreciated!!

Answers

Answer:

Step-by-step explanation:

600,000,000

Answer:

[tex]1.872 \times {10}^{13} [/tex]

Step-by-step explanation:

Simply multiple the values listed

[tex]3.12 \times {10}^{5} \\ \times 6 \times {10}^{7} [/tex]

You can just multiply the values and keep it in scientific notation. No reason to multiply all if it to find the answer.

[tex]18.72 \times {10}^{12} [/tex]

Now we have to put it into scientific notation, simply move the decimal to the left by 1 and add to the exponenet by 1.

[tex]1.872 \times {10}^{13} [/tex]

Jason needs to save at least $200 by the end of the summer. He already has $40, and he has 8 weeks to save. Which inequality can he use to decide how much he needs to save each week?

Answers

Step-by-step explanation:

y=mx+b

200 = 8x + 40

Rearrange,

x = 160/8 = 20

He would need to save $20 a week

200= 20 × 8 + 40

Answer:

8x + 40 ≥ 200At least $20 each week

Step-by-step explanation:

Target amount = at least $200Jason already has = $40Time = 8 weeksSaved amount each week = x

Required inequality:

8x + 40 ≥ 2008x ≥ 160x ≥ 160/8x ≥ $20

Give another name for CD PLEASE HELP!!!

Answers

Answer:

CED

Step-by-step explanation:

I hope this helps you

40 POINTS I WILL AWARD BRAINLIEST
Make up an equation that has one real solution and one imaginary solution. State the solutions.

An example is : (x-3)(x+sqrt2)
Solution : x=3 x=-sqrt2

Answers

Answer:

y=x=b=a=s

Step-by-step explanation:

a=s=d=a=s=d=a

(8x-3y)(8x+3y) solve the following​

Answers

Answer:

64x^2-9y^2

Step-by-step explanation:

hope this helps, have a good day!

pls answer this is due today its science. I give brainliest

Answers

Maybee the third one

Step-by-step explanation:

Item 8
POSSIBLE POINTS: 11.11
In math class, the teacher asked students to randomly select a card and roll a number cube. There were 6 yellow cards, 4 blue, 8 red and 7 green cards. The number cube was numbered 1 through 6. What was the probability of choosing a green card and rolling an odd number?


14%

24%

48%

36%

Answers

Answer:

24% is the answer

Step-by-step explanation:

-7-2/3x=6

what is x
pls tell me quickly

Answers

Answer:

x = -39/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Exact Form: x=-(39)/(2)

Mixed Form: x=-19(1)/(2)

A fish is swimming at a vibrant rate toward the ocean floor. The equation y=-7x-3 can be used to represent this distinction, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming. Which statement best describes the depth of the fish,given this equation.

A.From a starting position of 7 meters below sea level, the fish is descending 3 meters per second.

B.From a starting position of 7 meters below sea level, the fish is ascending 3 meters per second .

C.From a starting position of 3 meters below sea level, the fish is descending 7 meters per second.

D.From a starting position of 3 meters below sea level, the fish is ascending 7 meters per second.

Answers

Answer:

C. From a starting position of 3 meters below sea level, the fish is descending 7 meters per second.

Answer:

C

Step-by-step explanation:

y = -7x - 3 is a linear function that follow y = mx+b. M is the slope or rate. Here m = -7 so the fish descends 7 meters per second. B is the y-intercept or starting position. Here the starting position is -3 so the fish starts 3 feet below sea level.

3b+2
The sub for b is 14

Answers

Answer:

44

Step-by-step explanation:

I'm assuming you're meant to multiply so I did 3(14)+2 and it gave me 44 :)

Answer:

so it should be 44

Step-by-step explanation:

So the sub for b is 14 so substitute the b to 14

Then 3(14) they are multiplying so multiply them should equal 42

Then add the 2 the answer should be 44

I hope that you understoood!

Jason invests money in an account paying simple interest. He invests $160 and no money is added or removed from the investment. After one year, he has $164.80. What is the simple percent interest per year?

Answers

Answer: 1.03% Explanation: Divide the amount of money after 1 year by his original investment.

Answer:

The answer is 3%

Step-by-step explanation:

1.) $160 divided by $164.80 = 1.03

2.) 1.03 x 100 = 103

3.) 103 - 100 = 3

4.) 164.80 - 160 = 4.80

5.) 4.80 divided by 160 = 0.03

6.) 0.03 x 100 = 3%

Which of the following could NOT be the measures of the angles of a triangle?
A. 600-60°-60°
O B. 70°-50-70°
OC. 40°-400-100°
D. 30°-120°-30°

Answers

the angles of a triangle always equals 180 degrees, so all of them cant be the measure of the angles of a triangle except for D

4. A couple has 4 children. What is the probability that they have at least 2 girls?

Answers

6/16 or 3/8 unless you mean percentage

Ms. Sakai rode her bike 7.25 miles on Friday. She then rode 12.3 miles on Saturday and then 7.3 miles on Sunday. How many total miles did she ride over those three days?

Answers

Answer:26.85 miles

Step-by-step explanation: 7.25+12.3+7.3=26.85

PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

y=1/5x +80 so the slope is 1/5

the two points i used were(50,90) and (0,80)

One sixpack of soda has six cans. How many cans are there in six sixpacks of soda?
On the double number line below, fill in the given values, then use multiplication or
division to find the missing value:
cans
sixpacks of soda
There are
cans in 6 sixpacks of soda. Submit Answer

Answers

Answer:

36 cans

Step-by-step explanation:

6*6=36

Answer:

36

Step-by-step explanation:

6+6+6+6+6+6=36

A line passes through the points (-10, -3) and (-5, 1). What is the slope of the line?

Answers

Answer:

m= 4/5

Step-by-step explanation:

use the formula (y2 - y1)/ (x2 - x1)

(-10, -3) (-5, 1)

1-( -3)/-5-( -10)= 4/5

Its 8:20, you add 175 minutes to the time. What time is it?

Answers

Answer:

12

Step-by-step explanation:

Answer:

12:00

Step-by-step explanation:

2x 22/7 x 35 x 100
Plz tell me fastttt

Answers

Answer:

22000

Step-by-step explanation:

[tex]2 \times \frac{22}{7} \times 35 \times 100[/tex]

35 is divisible by 7. So reducing 35 by 7 gives 5.

[tex] = > 2 \times 22 \times 5 \times 100[/tex]

Lets multiply 2 & 5 for making the calculation easy.

[tex] = > 22 \times 10 \times 100 = 22000[/tex]

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