Mathematics, 12.11.2020 05:10 makk60

Solve each equation. For each step. Identify the property used. 14 + 3n = 8n - 3(n-3)
22x + 11 = 4x - 7

(P. S. The properties that the problem is asking for are the properties of equality. Division property of equality, etc, etc.)

Answers: 2

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Answers

Answer from: emmie50

Solution of 14 + 3n = 8n - 3(n-3) => x = 5/2

Solution of 22x + 11 = 4x - 7 => x=-1

Step-by-step explanation:

We will solve the equations one by one

So,

14 + 3n = 8n - 3(n-3)

Applying Distributive property

$14 + 3n = 8n - 3n+9\\14+3n = 5n+9$

Subtraction property of equality (Subtracting 14 from both sides)

$14+3n-14 = 5n+9-14\\3n = 5n-5$

Subtraction property of equality (Subtracting 5n from both sides)

$3n-5n = 5n-5-5n\\-2n = -5$

Division property of equality (Dividing both sides by -2)

$\frac{-2n}{-2} = \frac{-5}{-2}\\n = \frac{5}{2}$

Second Equation:

22x + 11 = 4x - 7

Subtraction property of equality (Subtracting 11 from both sides)

$22x + 11-11 = 4x - 7-11\\22x = 4x-18$

Subtraction property of equality (Subtracting 4x from both sides)

$22x-4x = 4x-18-4x\\18x = -18$

Division property of equality (Dividing both sides by 18)

$\frac{18x}{18} = \frac{-18}{18}\\x = -1$

Hence

Solution of 14 + 3n = 8n - 3(n-3) => x = 5/2

Solution of 22x + 11 = 4x - 7 => x=-1

Answer from: Quest

answer: the two figures are congruent.

step-by-step explanation: they're congruent because figure efgh is reflected across the x and y axis but it was also rotated.

hope it !

(02.05 mc) determine if the two figures are congruent and explain your answer.

Answer from: Quest

answer:

payment just for service

→

87.12

payment for service including tax

→

94.09

explanation:

service only with 20% tip

→

72.6

(

100

)

87.12

in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the

service

−−−−−−

so technically the answer is

→

72.6

(

100

)

87.12

however, the intention of the question provider may have been that your answer is to be

87.12

(

100

)

94.09

to 2 decimal places.

payment just for service

→

87.12

payment for service including tax

→

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge

→

72.60

20% tip

100

72.60

14.52

−−−−−−

←

add

87.12

tax

100

87.12

6.97

−−−−−

←

add

94.09

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Solve each equation. For each step. Identify the property used. 14 + 3n = 8n - 3(n-3)
22x + 1...

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