[tex]\frac{a-3b}{a+2b} = \frac{4}{3}[/tex]

what is the value of a:b??

Answers

Answer 1

Given:

[tex]\sf \dfrac{a\ -\ 3b}{a\ +\ 2b}\ =\ \dfrac{4}{3}[/tex]

To find: The value of a:b.

Answer:

[tex]\sf \dfrac{a\ -\ 3b}{a\ +\ 2b}\ =\ \dfrac{4}{3}[/tex]

Cross-multilpying,

[tex]\sf 3\ \times\ (a\ -\ 3b)\ =\ 4\ \times\ (a\ +\ 2b)\\\\3a\ -\ 9b\ =\ 4a\ +\ 8b[/tex]

Bringing the like terms together,

[tex]\sf 3a\ -\ 4a\ =\ 8b\ +\ 9b\\\\\\-a\ =\ 17b\\\\\\\dfrac{-a}{b}\ =\ 17\\\\\\\dfrac{a}{b}\ =\ -17[/tex]

Therefore, a:b = -17.


Related Questions

i have no idea what the answer, please help me

Answers

Answer:

43°

Step-by-step explanation:

-the interior angle of a triangle always adds up to 180°

- angles that form a straight line always adds up to 180°

- the angle at 75° has the angle of 105° to add up to 180°

- the triangle needs a full degree of 180, but only affs up to 137° (105° + 32°) so you have to subtract the 137° from the total amount you need(180°) which gives you the answer of 43°

Answer:

Step-by-step explanation:

it cant be 73° then it would look about the same size as 75°

and it cant be 15° cause it would look smaller than 32°.

so in my Opinion it looks like it would be 43°.

sorry if its wrong

Anyone know the answer?

Answers

Answer:

4.5

Step-by-step explanation:

4.5 is your answer ....&..&.&.8

Help me do this math problem
C= 59(F−32)

Answers

Answer:

c=59f-1888

f=[tex]\frac{c}{59}+32[/tex]

Step-by-step explanation:

Hope this helps!

When building a car, you can choose from 3 colors, 3 interiors, 3 sound systems, 3 kinds of tires, and 3 seat coverings. How many combinations are possible if you are making two distinct cars?

Answers

There are 455 combinations possible

Evaluate the algebraic expression 6g - 11 for g = – 5

Answers

Answer:

Step-by-step explanation:

6g - 11=(6 x -5) - 11

=-30 - 11

=-41

1. Which expressions are equivalent
to 16?
Select each correct expression.

Answers

Answer:

1^16

8^2

16^1

Step-by-step explanation:

These are the answers because they equal up to 16 like the question asks.

1x16= 16  (1^16)

8x8= 16 (8^2)

16x1= 16 (16^1)

Solve for
x
2
(
x

7
)
=
x

2

Answers

first you distribute the 2 to the x and -7 so that would equal 2x and -14. then you subtract x by both sides. then you would have x-14=-2 you want to get rid of the -14 on the left side so you would need to add it to both sides and you would get x=12

NEED HELP ASAP!!!
Carlos and his family are driving to California for vacation. The trip is 1,146 miles and they drive at an average speed of 56 mph. Which equation would give the number of miles remaining until they reach their destination, M, in terms of h, the number of hours they have driven? А. M= 1,146 + 56h
B. M= 56 - 1,146h
C. M= 56 + 1,146h
D. M= 1,146 - 56h​

Answers

Answer:

D. M = 1,146 - 56h

Step-by-step explanation:

I beleive that this answer is the most reasonable because we arent adding miles to the trip we are taking away. Also subtracting from 56 would result in a negative answer and that really doen't make sense because they still have more miles to travel before they reach their destination.

Andre shot three arrows and they landed at (-5,4),(-8,7),and(1,6). What is his Total score? Explain your reasoning

Answers

I've attached the graph showing the colored regions of the archery target.

The scores for the colored regions are;

Yellow: 10 points

Red: 8 points

Blue: 6 points

Green: 4 points

White: 2 points

Answer:

16

Step-by-step explanation:

From the graph, At coordinate of (-5,4), the colored region is blue which means a score of 6 points.

From the graph, At coordinates of (-8,7), the colored region is red which means a score of 8 points

From the graph, At coordinates of (1,6), the colored region is white which means a score of 2 points

Thus, total score = 6 + 8 + 2 = 16

Step-by-step explanation:

Here are the scores for landing an arrow in the colored regions of the archery target.  

Yellow: 10 points

Red: 8 points

Blue: 6 points

Green: 4 points

White: 2 points

Andre shot three arrows and they landed at (-5,4),(-8,7),and(1,6). What is his Total score? Explain your reasoning

A. 14

B.16

C. 5

D 12

Answer: the answer is A. 14 i took the test and i got it wrong because i put B. 16 because of the answers of this question but the correct answer is A. 14

please correct me if i am wrong

I WILL BRAINLIEST !!!

Mike is mixing paint for his walls. He mixes
1/6 gallon blue paint and
4/9 gallon green paint in a large container.

What fraction represents the total amount of paint Mike mixes?

Answers

Answer:  11/18

=======================================================

Explanation:

We need to add the fractions, but first we need to get each fraction to have the LCD (lowest common denominator) of 18

18 is the LCM of the denominators 6 and 9

The fraction 1/6 turns into 3/18 when multiplying top and bottom by 3

The fraction 4/9 turns into 8/18 after multiplying top and bottom by 2

Therefore,

(1/6) + (4/9) = (3/18) + (8/18) = (3+8)/18 = 11/18

So Mike has a total of 11/18 of a gallon of paint when combining the two given amounts 1/6 a gallon of blue paint and 4/9 of a gallon of green paint.

anyone know this? cuz i'm confused

Answers

Answer:

y =37

x=12

z=131

Step-by-step explanation:

The angles of the left triangle are 59, 84 , y

They sum to 180

59+ 84+ y = 180

143 +y = 180

y = 180-143

y =37

The angles of the right triangle are 104,64,x

They sum to 180

104+64+x

168+x=180

x = 180-168

x=12

The angles of the middle triangle are x,y,z

They sum to 180

x+y+z

12+37+z = 180

49+z =180

z = 180-z

z=131

You know that the total measure of the angles in a triangle is 180 degrees.

You can use this to find angles x and y.

The angles of one of the triangles are x, 104, and 64. This means x would be 12.

104+64+x = 180

x = 180-104-64

x = 12

Use this same method to find y. The angles of the triangle y is in are 84, 59, and y. This means y is 37.

84+59+y = 180

y = 180-84-59

y = 37

Now you have x and y. The angles x, y, and z share one triangle. You can use this to find z.

x+y+z = 180

You know that x is 12 and y is 37.

12+37+z = 180

z = 180-12-37

z = 131

So...

x = 12

y = 37

z = 131

4.139=4+ ?/100+?/1000

Answers

4.139=4+1/10+3/100+9/1000

sean has to face a big problem but he becomes stronger as a result which saying best summarizes the change in Sean?
A.A switch in tie saves nine
B.be careful what you wish for
C.pride comes before a fall
D.every cloud has a silver lining
Please help me I WILL give brainless <33

Answers

Answer: D. every cloud has a silver lining

The cloud represents a dark, scary, or sad moment. This is in contrast to the sun which metaphorically represents energy and happiness. The cloud sometimes covers up the sun to cover up those happy moments so to speak.

Despite the cloud being present, there's a silver lining to the cloud which represents some positive aspect a person didn't expect to happen. In this case, the problem allows Sean to get stronger. So this is an opportunity for his growth.

heeeeeeeelllllllppppppppp

Answers

64 dollars is the sale price:))))

Answer:

Easy its 64

Step-by-step explanation:

Next time put the eqation in a calculator it will give you the answer trust me

You just found out you have to have a cavity filled! UGH! The dentist
office informs you that a filling usually costs $150, but that sometimes it
can vary but that it will only vary AT MOST $20. What is the range of cost
you can expect to pay for your filling?

Answers

Answer:

It could be anywhere from $130-$170

What is the general form of the equation 2x+3y=9

Answers

Answer:
y=-2x/3+3

Explanation:
2x+3y=9
-2x -2x

3y=-2x+9
3y/3= -2x/3+9/3
y=-2x/3+3

Hope this helps!!

helpppppppppppppppppp​

Answers

y+9=-4(x+2)
y+9=-4x-8


Final answer: 4x+y=-17

PLEASE HELP I NEED IT I WILL MARK BRAINLIEST

Answers

Answer:

y = (1/12)x^2

Step-by-step explanation:

The vertex of this parabola is halfway between (0, 3) and the directrix, y = -3; that is, it's at (0, 0).

The applicable equation for this vertical parabola is 4py = x^2, where p is the distance between the vertex and the focus.  Here that distance is p = 3.

Thus, 4py = x^2 becomes 4(3)y = x^2, or 12y = x^2, or y = (1/12)x^2.

Have  a good day!

-Millie

Please help this is due today!

Graph the solution of 1/4x≤2. Please use a virtual graph or draw your own.

Answers

Answer:

The solution of [tex]\frac{1}{4}x \leq 2[/tex] is [tex]\mathbf{x\leq 8}[/tex]

Graph of the solution is attached in the figure below.

Step-by-step explanation:

We need to the graph the solution of [tex]\frac{1}{4}x \leq 2[/tex]

First we will solve to find value of x

[tex]\frac{1}{4}x \leq 2[/tex]

Multiply both sides by 4

[tex]\frac{1}{4}x\times 4 \leq 2\times 4 \\x\leq 8[/tex]

So, the solution of [tex]\frac{1}{4}x \leq 2[/tex] is [tex]\mathbf{x\leq 8}[/tex]

Graph of the solution is attached in the figure below.

The graph contains both number line and on graph paper also.

For each offspring genotype in the Punnett square you just completed, determine the phenotype. In other words, what is the predicted fur color and eye color of the offspring? Using your Punnett square from the last step, fill in the predicted fraction for each phenotype in the data table below. (other ppl got it wrong, so here is the answer)

answer:
(predicted fractions)
16/16
0/16
0/16
0/16

(predicted percentage)
100%
0%
0%
0%

Answers

Answer:

(predicted fractions)

16/16

0/16

0/16

0/16

(predicted percentage)

100%

0%

0%

0%

A room in the shape of a rectangular prism measures 15 feet by a feet by 12 feet. Write a simplified expression for the volume (in cubic feet) of th
room

Answers

Answer:

5x3

Step-by-step explanation:

(PLEASE HELP I WILL GIVE BRAINLIEST) Joey received a score of 80% on his math test. He solved 32 problems correctly. How many total problems were on the math test?

Answers

Answer:

40

Step-by-step explanation:

32/80 = 0.4

0.4 x 100 = 40

Answer:

40

Step-by-step explanation:

it just is

Could someone pls help me if you know it thank you!:)

Answers

Answer:

30

Step-by-step explanation:

The full pie chart will equal 100%

So we can add all the percentages together and then subtract that percentage from 100 and whatever's left is the parentage that they attend school.

12+3+5+10+5+35

70

100-70

30

They spend 30% attending school

Don't be afraid to reach out for further assistance. Hope this helps!

Which is the constant of proportionality for the relationship shown in the graph?

Answers

Answer:

COP: 2X

Step-by-step explanation:

K= Y/X

K= 4/2

K= 8/4

K= 12/6

K=16/8

What is the solution to the system of equations? Two-thirds x minus one-third y = negative 2 Negative 2 x + y = negative 6 There is no solution. There are infinitely many solutions. There is only one solution, (2, –2). There is only one solution, (–2, –10).

Answers

Answer:

there no solution

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer both pls. True or false? explain

Answers

Answer:

False

Step-by-step explanation:

It is not because a linear function make a straight line, since it contains [tex]x^{2}[/tex] is is not linear. It creates a parabola.

I think the answer you’re looking for is
- FALSE
-I hope this helps! Enjoy the rest of your day

Help me please!

Correct answer get's brainliest :D

Answers

answer:

step by step explanation:

make all numbers the same decimal,fraction or percentage and then compare

3/8=37.5%

-2.8=20.8%

0.053=5.3%

-2.8%

ascending means from smallest to biggest so the answer would be 0.053

What is the slope of the line that passes through the following g points
(6,3) and (4,-2)

Answers

Answer:

2.5

Step-by-step explanation:

The slope of the line is; [tex]\frac{rise}{run}[/tex] and can be found using the formula;

[tex]\frac{y_{2} - y_{1}}{x_{2}-x_{1}}[/tex]

Given the points;

( 6, 3 ) and ( 4, -2)

Substitute the points in and solve;

[tex]\frac{(-2) - (3)}{(4) - (6)}[/tex]

[tex]\frac{-5}{-2}\\\\\frac{5}{2}\\\\= 2.5[/tex]

Find the coordinates for the midpoint of the segment with endpoints given.
(12, 4) and (-8, 8)
O (2,6)
O (10,6)
O (2, 2)

Answers

Answer:

(2, 6)

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

Coordinates of midpoint are

( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )

~~~~~~~~~~~~~~

(12, 4)

(- 8, 8)

( [tex]\frac{-8+12}{2}[/tex] , [tex]\frac{8+4}{2}[/tex] ) = (2, 6)

Translate the sentence into an equation.
The sum of 3 times a number and 6 is 7.
Use the variable b for the unknown number.

Answers

The answer is 3b+6=7
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