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eimsori [14]
3 years ago
15

2. Identify the property of equality that justifies the missing step to solve the given equation

Mathematics
1 answer:
marin [14]3 years ago
3 0

Answer:

Subtraction property of equality

Step-by-step explanation:

Given the equation;

2x + (x+5) = 41

open the parenthesis;

2x+x + 5 = 41 (Associative property)

3x+5 = 41

Subtract 5 from both sides

3x + 5 = 41

3x + 5- 5 = 41 - 5 (Subtraction property of equality)

3x = 36

Divide both sides by 3;

3x/3 = 36/3

x = 12 (Division property of equality)

Hence the required property is Subtraction property of equality

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Answer:

0.0398 dollars

Step-by-step explanation:

We are told in the question that

An apple picker in China earns an average wage of 45 cents per hour.

Mathematically

1 hour= 45 cents............ Equation 1

An apple picker can harvest about 2.0 bushels of apples each hour.

Mathematically

2.0 bushels = 1 hour ..............Equation 2

We are told that each bushel contains about 126 apples

1 bushel = 126 apples

2 bushels =

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Combining Equation 1 and 2 together,

We can say

An apple picker in 1 hour harvests 2 bushels of apples which is 252 apples and is paid 45 cents

1 hour = 2 bushels of apples

1 hour = 252 apples

1 hour = 45 cents

Hence we can say fro harvesting 252 apples, an apples picker is paid 45 cents

Mathematically,

252 apples = 45 cents

One gallon of apple juice requires 40 apples

We are to calculate the labor cost of one gallon of apple juice in dollars

If : 252 apples = 45 cents

40 apples = X cents

Cross Multiply

40 × 25 = 252 × X

X = (40× 25) ÷ 252

X = 3.984063745 cents

Hence the labor cost of 40 apples = 3.984063745 cents

Approximately = 3.98 cents

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3.98 cents =

= 3.98/100

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Therefore, the labor cost of one gallon of apple juice in dollars is 0.0398 dollars.

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Answer:

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Step-by-step explanation:

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