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creativ13 [48]
3 years ago
6

Liner systems of equations

Mathematics
1 answer:
Virty [35]3 years ago
3 0

Answer:

8 years

Step-by-step explanation:

x years later type A and type B will have the same height

Type A = Type B: 10  + (8/12)*X  = 6 + (14/12)*X

multiply 12 each side

120 + 8x = 72 + 14x

14x - 8x = 120 - 72

6x = 48

x = 8

check: A: 10 x 12 + 8 x 8 = 184

            B: 6 x 12 + 14 x 8 = 184

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7 0
3 years ago
Professor shepherd weighed two pieces of metal for an experiment. the piece of iron weighed 7/12 of a pound and the piece of alu
Ira Lisetskai [31]

Answer:

The iron weighed 1/12 pound more than the aluminum.

Step-by-step explanation:

The weight of the aluminum is given as 1/2 pound. But that can also be written as 6/12 pound.

This is a subtraction problem (subtracting fractions...so also a common denominator problem)

In order to subtract fractions you have to get a common denominator.

7/12 - 1/2

= 7/12 - 6/12

= 1/12

The iron is 1/12 pound heavier than the aluminum.

6 0
2 years ago
Alden has 5 siblings. His sister is 5 years older than he is and 3 times as old as his second sister. Alden's brother is 4 years
salantis [7]

Answer:Alden is 13 years old

Step-by-step explanation

Let x represent Alden's age.

Let y represent the age of his sister.

Let z represent the age of his second sister.

His sister is 5 years older than he is and 3 times as old as his second sister. This means that

y = x + 5

y = 3z

Alden's brother is 4 years younger than his second sister. It means that his brother's age is

z - 4

His brother is 2. It means that

z - 4 = 2

z = 2 + 4 = 6

y = 3z

y = 3 × 6 = 18

Substituting y = 18 into y = x + 5, it becomes

18 = x + 5

x = 18 - 5 = 13

8 0
3 years ago
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