Two customers went to a restaurant to buy drinks and tacos. Each drink costs the same amount, and
each taco costs the same amount.
● The first customer paid $21.12 for 3 drinks and
6 tacos.
● The second customer paid $30.91 for 4 drinks
and 9 tacos.
What is the cost in dollars of each drink?

the cost for each drink = $2.54

Step-by-step explanation:

The statement formed a simultaneous equation :

3x + 6y = $21.12

4x + 9y = $30.41

solving simultaneously,you have that ; x = 2.54, y = 2.25

in 1995, potato plants were taken into space aboard the space shuttle columbia.

step-by-step explanation:

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt