Arestaurant earns $1073 on friday and $1108 on saturday. write and solve an equation to find the amount xx (in dollars) the restaurant needs to earn on sunday to average $1000 per day over the three-day period. write your equation so that the units on each side of the equation are dollars per day.

answer:

the longer leg is opposite the 60, so to get the shorter leg you have to divide by   \sqrt{3}  

18 /   \sqrt{3}   = 6 \sqrt{3}

answer:

5x+2   + 3x-22 = 180

1.   since the angles are supplementary (they form a straight line), they add together to equal 180 degrees

2.   x = 25

3.   aed=127

step-by-step explanation:

since the angles are supplementary (they form a straight line), they add together to equal 180 degrees

5x+2   + 3x-22 = 180

combine like terms

8x -20 = 180

add 20 to each side

8x -20+20 = 180+20

8x = 200

divide by 8 on each side

8x/8 = 200/8

x = 25

aed =5x+2

        = 5(25)+2

        =125+2

        =127

answer:

*assuming that the question should read '8 years less than 3 times danielle's age'*

equation:   3a - 8 = 34, where 'a' = danielle's age

danielle's age (a) = 14

step-by-step explanation:

using key words and phrases from the problem, we can find danielle's age by setting up an equation to solve for 'a'.  

since danielle's aunt is '8 years less than 3 times danielle's age' her aunt's age can be written as:   3a - 8.   we also know her aunt is 34.   so, the equation becomes:

3a - 8 = 34

add 8 to both sides:   3a - 8 + 8 = 34 + 8 or 3a = 42

divide both sides by 3:   3a/3 = 42/3

solve for a:   a = 14, so danielle's age is 14 years old.