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Maru [420]
2 years ago
11

Solve the proportion for x. 2/9=3/(x+2)

Mathematics
2 answers:
attashe74 [19]2 years ago
7 0

Answer:

x as a fraction: 11\frac{1}{2}

Step-by-step explanation:

Variable x cannot be equal to −2 since division by zero is not defined. Multiply both sides of the equation by 9(x+2), the least common multiple of 9,x+2.

2 ( x+ 2) = 9 x 3

Use the distributive property to multiply 2 by x + 2.

2x + 4 = 9 x 3

Multiply 9 and 3 to get 27.

2x + 4 = 27

Subtract 4 from both sides.

2x = 27 - 4

Subtract 4 from 27 to get 23.

2x = 23

Divide both sides by 2.

x = \frac{23}{2}

Simplify

11\frac{1}{2}

Hope it helps and have a great day! =D

~sunshine~

barxatty [35]2 years ago
4 0

Answer:

x=\frac{23}{2}

Step-by-step explanation:

Hi there!
We are given the following proportion:

\frac{2}{9} =\frac{3}{x+2}, and we want to solve it for x

To solve proportions, we can cross-multiply; in other words, we can multiply the terms in the numerator of one proportion with the terms in the denominator of the second proportion.

This is a property that where if you have the proportion \frac{a}{b} =\frac{c}{d}, it can also be represented as ad=bc
So let's cross multiply; multiply 2 by x+2, and multiply 9 by 3. Then, set them equal to each other.

2(x+2)=9*3

Multiply

2x+4=27
Subtract 4 from both sides

2x=23

Divide both sides by 2

x=\frac{23}{2}
The answer can be left as that.
Hope this helps!

If you wish to solve a similar problem for practice, take a look here: brainly.com/question/24355081

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Y = 4x – 18<br> y = -5x +9
adelina 88 [10]

Answer:

(3, -6)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)
  • Terms/Coefficients
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y = 4x - 18

y = -5x + 9

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em> [2nd Equation]:                                                                           4x - 18 = -5x + 9
  2. [Addition Property of Equality] Add 5x on both sides:                                   9x - 18 = 9
  3. [Addition Property of Equality] Add 18 on both sides:                                   9x = 27
  4. [Division Property of Equality] Divide 9 on both sides:                                  x = 3

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Substitute in <em>x</em> [1st Equation]:                                                                           y = 4(3) - 18
  2. Multiply:                                                                                                             y = 12 - 18
  3. Subtract:                                                                                                            y = -6
5 0
2 years ago
Read 2 more answers
Use the regression calculator to compare the teams’ number of runs with their number of wins. a 2-column table with 9 rows. colu
-Dominant- [34]

The equation of the trend line is ŷ = 0.15x - 23.21

<h3>How to determine the average rate of change of the trend line?</h3>

The points are given as:

hr =>808, 768, 655, 684, 637, 619, 613, 609, 563

w =>  93, 94, 66, 81, 86, 75, 61, 69, 55.

Using a graphing calculator, we have the following calculation summary:

  • Sum of X = 5956
  • Sum of Y = 680
  • Mean X = 661.7778
  • Mean Y = 75.5556
  • Sum of squares (SSX) = 50569.5556
  • Sum of products (SP) = 7547.1111

The regression equation is represented as:

ŷ = bX + a

Where:

b = SP/SSX

b = 7547.11/50569.56

b = 0.14924

a = MY - bMX

a = 75.56 - (0.15*661.78)

a  = -23.20961

This gives

ŷ = 0.14924X - 23.20961

Approximate

ŷ = 0.15x - 23.21

Hence, the equation of the trend line is ŷ = 0.15x - 23.21

Read more about trend lines at:

brainly.com/question/2589459

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What can you predict regarding the probability of the
natka813 [3]

Answer:

The frequency does not change with more trials

Step-by-step explanation:

To predict: the probability of the coin landing heads up

Solution:

Probability refers to the chances that an event will occur in an experiment. The value of probability lies between 0 and 1. 0 indicates impossible event and 1 indicates a sure event. The probability of an event can not be greater than 1.

When a coin is tossed, there are two possible outcomes: heads (H), tails (T).

In case of the probability of the coin landing heads up, the frequency does not change with more trials.

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3 years ago
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6 0
3 years ago
How is it going to tell me the answer
Anon25 [30]
I dont know man you gotta ask a question
7 0
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