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sertanlavr [38]
3 years ago
13

Help me please justify each step 9x/4=-9 9x=-36 x=-4

Mathematics
2 answers:
Nesterboy [21]3 years ago
6 0

\dfrac{9x}{4}=-9\ \ \ |\text{Multiplication Property of Equality}\\\\4\cdot\dfrac{9x}{4}=4\cdot(-9)\\\\9x=-36\ \ \ \ |\text{Division Property of Equality}\\\\\dfrac{9x}{9}=\dfrac{-36}{9}\\\\x=-4

aleksandrvk [35]3 years ago
3 0

Answer:

The justification is mentioned below.

Step-by-step explanation:

Given equation,

\frac{9x}{4}=-9

Multiply both sides by 4 ( multiplicative property of equality ),

\frac{9x}{4}\times 4 = -9\times 4

9x=-36

Divide both sides by 9 ( division property of equality )

\frac{9x}{9}=\frac{-36}{9}

x=-4

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What property is used in the second step of solving the inequality below?
Taya2010 [7]

Answer: Addition Property

Step-by-step explanation:

The difference between steps one and two is that the -9 is added to the other side to isolate 5x. (added- addition property)

5 0
3 years ago
laws of Sines with find the angle. Find each measurement indicated. Round your answers to the nearest tenth. Part 4​
lukranit [14]

Answer:

10. Not enough information

11. B ≈ 12.0°

12. A ≈ 34.1°

Step-by-step explanation:

10. Not enough information

11.

We need to use the Law of Sines, which states that for a triangle with lengths a, b, and c and angles A, B, and C:

\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}

Here, we can say that AB = c = 38, C = 128, and AC = b = 10. Plug these in to find B:

\frac{b}{sinB} =\frac{c}{sinC}

\frac{10}{sinB} =\frac{38}{sin128}

Solve for B:

B ≈ 12.0°

12.

Use the Law of Sines as above.

\frac{a}{sinA} =\frac{b}{sinB}

\frac{23}{sinA} =\frac{28}{sin(43)}

Solve for A:

A ≈ 34.1°

6 0
3 years ago
What is the estimate of 32034
PSYCHO15rus [73]
The estimate is 32,000.
7 0
3 years ago
The owner of a busy coffee shop wanted to see if it was worth keeping tea on the menu. She logged the number of cups of tea she
Nimfa-mama [501]

Answer:

mean = 7

median = 7

range = 9

mid range = 7.5

Step-by-step explanation:

3, 5, 6, 7, 7, 9, 12

Range is the difference between the highest and lowest values of a set of observations

Range = highest value - lowest value

12 - 3 = 9  

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order

3, 5, 6, 7, 7, 9, 12

median = 7

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

(6 + 12 + 5 + 7+  7 + 3 + 9) / 7 = 7

Mid range = (highest value + lowest value) / 2

(12 + 3) / 2 = 7.5

8 0
3 years ago
27 over X =3 and 5y = 35 what is the value of <br> X• Y?
diamong [38]

Answer:

63

Step-by-step explanation:

\frac{27}{x} = 3

divide, 27 ÷ 3

you'll get 9, so

x = 9

Next part

5y = 35

divide both sides by 5 to isolate y,

5y ÷ 5 = 35 ÷ 5

=

y = 7

So

x = 9 and y = 7

Then let's add the numbers to our equation ( x × y)

9 × 7

=

63

7 0
3 years ago
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