Your are y years old. your sister is 3 years older than you. your uncle is 4 times older than your sister. write and simplify an expression that represents your uncle's age.

4y + 12 years

Step-by-step explanation:

Your age is specified as y years.

Your sister is older than you by 3 years. Expressing sister's age mathematically, it is equal to (y + 3) years

Your uncle's age is four times your sister's age.

Hence uncle's age = \[4* (y+3)\] years

Simplifying, uncle's age = \[(4*y + 4*3)\] years

In other words, uncle's age = \[(4y + 12)\] years

Hence the required age of the uncle can be represented as 4y + 12 years.

step-by-step explanation:

the areas of two similar triangles are 18 cm2 and 8 cm2. one of the sides of the first triangle is 4.5 cm. what is the length of the corresponding side of the other triangle?

step-by-step explanation: given equation a = h(b 1+b 2)

also we are given values of a, h and b 1 as :

a = 16, h = 4, and b 1 = 3.

in order to solve it for b 2, we need to plug the given values of   a, h and b 1 .

therefore, plugging values of   a, h and b 1   in given equation, we get

16 = 4( 3 + b 2)

first dividing both sides by 4, we get

4 = 3 + b 2

subtracting 3 from both sides, we get

4 -3 = 3 -3 + b 2

1 = b 2.