Matt is five years older than twice his cousin andy’s age. the sum of their ages is less than 35.

let x represent andy's age.

which inequality represents andy’s possible age?

a.) 0< x≤25, b.) 0< x< 25, c.) 0< x< 10, d.)0< x≤10

i think it's c, am i correct?

Answer : 0<x<10

Matt is five years older than twice his cousin Andy’s age. The sum of their ages is less than 35.

Let x represent Andy's age and y represents Matt's age

Matt's age = 2*Andy's age + 5

y = 2x +5 > first equation

The sum of their ages is less than 35.

So x + y < 35

Replace y by 2x+5

x + y < 35

x + 2x + 5 < 35

3x + 5 < 35 ( subtract 5 on both sides)

3x < 30 ( divide by 3 on both sides)

x < 30

age cannot be negative . so we take x from 0 to 30

Andy’s possible age is 0<x<10

$3720

step-by-step explanation:

taxable income = $31000

as per the 2018-2019 us tax bracket, the tax rate is 12% for an individual whose taxable income is between $9,526 to $38,700.

so, the tax to be paid by him = 12% of 31000

= 0.12 * 31000     [12% converted to decimal as 0.12]

= $3720