Joey is at the supermarket buying bananas. Bananas cost $0.55 per pound and Joey has a coupon for $0.75 off his purchase. If his final total is $3.65, how many pounds of bananas did he buy? (a) write a variable and tell what it represents (b) write an equation to represent this situation (c) solve and explain why your answer makes sense.

Joey bought 8 pounds of bananas.

Step-by-step explanation:

Given,

Cost of bananas per pound = $0.55

Coupon = $0.75

Final total = $3.65

(a) write a variable and tell what it represents

Let,

x be the pounds of banana bought by Joey.

(b) write an equation to represent this situation

Cost per pound * Number of pounds - Coupon = Final Total

0.55x - 0.75 = 3.65

(c) solve and explain why your answer makes sense.

Adding 0.75 on both sides

Dividing both sides by 0.55

We will put x=8 in Eqn 1 to check;

Therefore,

Joey bought 8 pounds of bananas.

i think 5 miles per hour

step-by-step explanation:

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