While on vacation, craig bought a pair of sunglasses for $15.98, a hat for $7.99, 5 postcards, and a beach towel. the beach towel cost $0.50 more than half of the price of the sunglasses. craig gave the cashier $40.00 and got $3.59 in change. each postcard cost the same, how much did each postcard cost?

Each postcard cost $0.79

Step-by-step explanation:

Craig bought various items at a particular price let us represent the items as follows:

pair of sunglasses = $15.98

Hat = $7.99

Let the price of each postcard = a

Total price of 5 postcards =$5a

Beach towel = 0.50 + 1/2 ×  15.98 = $8.49

He gave the cashier $40 and got a change of $3.59. That means he paid 40-3.59 = $36.41  for the whole goods he bought.

Total amount of goods bought can be computed as

15.98 + 7.99 + 5a + 8.49  = 36.41

32.46  + 5a = 36.41

5a = 36.41 - 32.46

5a = 3.95

divide both side by 5

a = 3.95/5

a = 0.79

Each postcard cost $0.79

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

tap for more

m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.