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3 years ago

9x+3=3x+9Slove for x?

2 answers:

8 0

Let's review:
<span><u>Inverse Operations:</u>
</span>Inverse Operations are operations which undo each other!
I'll give the following Inverse Operations in this form.

Operation -> Inverse Operation

Addition -> Subtraction
Subtraction -> Addition

Multiplication -> Division
Division -> Multiplication

That's all of them we'll need to know to solve this problem!

9x + 3 = 3x + 9

First Step!: Move all of the variables to once side (Numbers with x in them). (Prioritize the lower one so we won't need to work with negative numbers) Subtract 3x on both sides (Subtract, because the number is positive)

9x - 3x + 3 = 3x - 3x + 9

3x - 3x = 0

9x - 3x + 3 = 9

Move the 3 to the right by subtracting it on both sides.

9x - 3x + 3 - 3 = 9 - 3

3 - 3 = 0
9 - 3 = 6

9x - 3x = 6

Subtract like terms. (Just like you would subtract 9 - 3). Note that they are only like terms, because they both have the same variables (x) that are the same power (1).

6x = 6

Divide 6 on both sides to get your answer.

6x/6 = 6/6

The 6's cancel out and we are left with 1 on the left AND right, because 6/6 = 1.

x = 1

Plug x in to check.

9(1) + 3 = 3(1) + 9

9 + 3 = 9 + 3

Those are definitely equal!

I hope that helped. If it did then consider giving me the brainliest answer. Thanks.

Alex Ar [27]3 years ago

7 0

9x + 3=3x + 9....so 9x-3x=: 3 = -3x+9 and then you minus 9 from 3 and it equals to -3=-3x and then you divided -3 by -3 equals
=1 negative divided by a negative "always" a positive. so the answer is (positive one)

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Answer:

The first piece is 5 inches long, while the second is 15 inches and the third one is 20 inches.

Step-by-step explanation:

To determine the length of the 3 pieces, knowing that the total of the board is 40 inches, and that the second measures 3 times more than the first and the third measures 4 times more than the first, the following equation must be performed:

X + 3X + 4X = 40

8X = 40

X = 40/8

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Therefore, the first piece is 5 inches long, while the second is 15 inches and the third 20 inches.

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3 years ago

Velvet fabric costs $11.49 a yard. Yvette buys 9.3 yards. Yvette's estimated cost of the velvet is

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Answer:

$99

Step-by-step explanation:

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3 years ago

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4 years ago

The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airp

motikmotik

Answer:

The 95% confidence interval for the population mean rating is (5.73, 6.95).

Step-by-step explanation:

We start by calculating the mean and standard deviation of the sample:

$M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{50}(6+4+6+. . .+6)\\\\\\M=\dfrac{317}{50}\\\\\\M=6.34\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{49}((6-6.34)^2+(4-6.34)^2+(6-6.34)^2+. . . +(6-6.34)^2)}\\\\\\s=\sqrt{\dfrac{229.22}{49}}\\\\\\s=\sqrt{4.68}=2.16\\\\\\$

We have to calculate a 95% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=6.34.

The sample size is N=50.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

$s_M=\dfrac{s}{\sqrt{N}}=\dfrac{2.16}{\sqrt{50}}=\dfrac{2.16}{7.071}=0.305$

The degrees of freedom for this sample size are:

$df=n-1=50-1=49$

The t-value for a 95% confidence interval and 49 degrees of freedom is t=2.01.

The margin of error (MOE) can be calculated as:

$MOE=t\cdot s_M=2.01 \cdot 0.305=0.61$

Then, the lower and upper bounds of the confidence interval are:

$LL=M-t \cdot s_M = 6.34-0.61=5.73\\\\UL=M+t \cdot s_M = 6.34+0.61=6.95$

The 95% confidence interval for the mean is (5.73, 6.95).

4 0

4 years ago

Al can wash a car in 60 minutes, and bill can wash a car in 30 minutes. cathy can wash a car in 20 minutes. how long, in minutes

choli [55]

B) 36

To figure this out you need to average the numbers. To average them you add them all up and divide by how many are there.
(60+30+20)/3
(90+20)/3
110/3
36

3 0

4 years ago