What would the budget be if he gets $44,000 annually. these are his expenses per month: $1,200 for rent. $600 for food. $350 for transportation. $150 for utilities. $300 for insurance. $400 for taxes. im just confused on how to find out what the budget is so i can find the percent.

Step-by-step explanation:

$1200+$600+$350+$150+$300+$400=$3000

=12*$3000=$36000

rent= 1200*100/3000=40%

food=600*100/3000=20%

trans=350*100/3000=11.7%

utilities=150*100/3000=5%

insurance=300*100/3000=10

taxes=400*100/3000=13.3%

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)