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swat32
3 years ago
12

Which value of "a" would make the following statement true? 6(2x+a)=12x+30

Mathematics
2 answers:
Serga [27]3 years ago
8 0

Answer:

A) 5

Step-by-step explanation:

6(2x+a)=12x+30

6*2x+6*a=12x+30

12x+6x=12x+30

6a=12x+30-12x

6a=30

a=30/6

a=5

sweet-ann [11.9K]3 years ago
7 0

Answer: A is the answer

Step-by-step explanation:

If you plug in a variable for x (I did 2) and then plug in 5 (which is A) here is what you get-

6(2*2+5)=12*2+30

6*9=24+30

54=54

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Answer:

The price of T-shirts before the sale = 42 euros

The price of scarves before the sale = -77/2 euros

Step-by-step explanation:

The cost of the items Zina buys from the store initially are;

Two scarves and three T-shirts for 49 euros

The reduction in the price of scarves a week later during sales = 1.5 euros

The reduction in the price of T-shirts a week later during sales = 2 euros

The items Zina bought for 40 euros at the reduced price of the sales opportunity are;

Four scarves and five T-shirts for 40 euros

Let 'x' represent the initial price of a scarf and let 'y' represent the initial price of a T-shirt, we  have;

2·x + 3·y = 49...(1)

4·(x - 1.5) + 5·(y - 2) = 40...(2)

Expanding equation (2) gives;

4·x - 6 + 5·y - 10 = 40

4·x + 5·y = 40 + 6 + 10 = 56

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By multiplying equation (1) by 2 and subtracting the result from equation (3), we get;

4·x + 5·y - 2 × (2·x + 3·y) = 56 - 2 × 49 = -63

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x = (49 - 3 × 42)/2 = -77/2

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(However, if the had bought the 4 scarves and 5 T-shirts during sales at 70 euros, we get;

The price of T-shirts before the sale = 12 euros

The price of scarves before the sale = 6.5 euros.

The allowable total price for the reduced 4 scarves and 5 T-shirts is between 66 and about 82 for both initial prices to be +ve)

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