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4 years ago

What is the solution to this equation? 4x + 16 - x = 22 + 6

Mathematics

2 answers:

Yakvenalex [24]4 years ago

8 0

Answer:

x=4

Step-by-step explanation:

Simplifying

4x + 16 + -1x = 22 + 6

Reorder the terms:

16 + 4x + -1x = 22 + 6

Combine like terms: 4x + -1x = 3x

16 + 3x = 22 + 6

Combine like terms: 22 + 6 = 28

16 + 3x = 28

Solving

16 + 3x = 28

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-16' to each side of the equation.

16 + -16 + 3x = 28 + -16

Combine like terms: 16 + -16 = 0

0 + 3x = 28 + -16

3x = 28 + -16

Combine like terms: 28 + -16 = 12

3x = 12

Divide each side by '3'.

x = 4

Simplifying

x = 4

Hope this helps! And please correct me if I'm wrong so others can have the correct answer.

krok68 [10]4 years ago

6 0

For this case we must solve the following equation:

$4x + 16-x = 22 +6$

We add similar terms on both sides of equality:

$3x + 16 = 28$

We subtract 16 from both sides of the equation:

$3x = 28-16\\3x = 12$

We divide between 3 on both sides of the equation:

$x = \frac {12} {3}\\x = 4$

ANswer:

$x = 4$

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The five-number summary of the ages of passengers on a cruise ship is listed below. Min 1 Q1 20Median 29 Q3 38Max 80 Consider th

Eddi Din [679]

Answer: b. Only statement (ii) is correct.

Step-by-step explanation:

The given five-number summary of the ages of passengers on a cruise ship is listed below.

Min 1 $Q_1$ 20 Median 29 $Q_3$ 38 Max 80

Inter-quartile range = $IQR=Q_3-Q_1=38-20=18$

According to the 1.5(IQR) criterion for outliers : An data value is an outlier if it lies below $Q_1 - 1.5(IQR)$ or above $Q_3 + 1.5(IQR)$ .

Here , $Q_1 - 1.5(IQR) =20-1.5(18)=-7$

$Q_3 + 1.5(IQR)=38+1.5(18)=65$

Since the minimum value> $Q_1 - 1.5(IQR)$ ( ∵ 1 > -7)

It means there is no value below $Q_1 - 1.5(IQR)$ , so there is no low -outlier.

⇒ Statement (i) "here is at least one passenger whose age is a low outlier. " is false.

But the maximum value > $Q_3 + 1.5(IQR)$ (∵ 85 > 65)

It means there are values above $Q_3 + 1.5(IQR)$ .

⇒Statement (ii) "There is at least one passenger whose age is a high outlier" is true.

Hence, the correct answer is b. Only statement (ii) is correct.

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4 years ago

Jason bought 3 dozen eggs from the grocery store to bake some cakes how many eggs did Jason buy?

Snowcat [4.5K]

Answer:

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Step-by-step explanation:

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6 0

3 years ago

Read 2 more answers

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Ksenya-84 [330]

Answer:

10 + 5xy = -80

Step-by-step explanation:

10 + 5xy = ?

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10 + 5xy = 10 + 5(9)(-2)

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antiseptic1488 [7]

For a triangle:
$A=\frac{bh}{2}$
$A=\frac{b \times 7.9}{2}$
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$DC^{2}+23.2^{2}=7.9^{2}$
$DC=21.81$

Thus:
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And:
$Area=\frac{26.9 \times 7.9}{2}=106.26$

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Answer:

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Step-by-step explanation:

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I hope you find this information useful and interesting! Good luck!

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