Joan spend half of her paycheck going to the movies. she washed the family car and earned 7 dollars. what is her weekly paycheck if she ended up with 18 dollars?

her weekly allowance is $16

Step-by-step explanation:

Let x represent Joan's weekly paycheck.

Joan spent half of her paycheck going to the movies. This means that the total amount that she spent at the movies is x/2. The amount that she is left with would be

x - x/2 = x/2

She washed the family car and earned 7 dollars. This means that the total amount left with her is

x/2 + 7

if she ended with 18 dollars, it means that

x/2 + 7 = 18

x/2 = 18 - 7 = 11

x = 2 × 11 = $22

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

14.29%

step-by-step explanation: