The price of gasoline purchased varies directly with the number of gallons of gas purchased. If 23 gallons are purchased for $37.90, what is the price of purchasing 20 gallons? Let x represent the number of gallons purchased, and let y represent the total price. Round your answer to two decimal places if necessary.

the price of purchasing 20 gallons is $32.96

Step-by-step explanation:

If two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding increase in the other variable. Also, a decrease in the value of one variable would cause a corresponding decrease in the other variable.

Let x represent the number of gallons purchased, and let y represent the total price.

Given that y varies directly with x, if we introduce a constant of proportionality, k, the expression becomes

y = kx

If y = $37.9 when x = 23 gallons, then

37.9 = 23k

k = 37.9/23

Therefore, the direct variation equation is

y = 37.9x/23

When x = 20 gallons, then

y = 37.9 × 20/23

y = $32.96

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

24

step-by-step explanation:

if it takes 8 pounds to make 12 divide 12 by 8 and you get 1.5, 1.5 x 16 = 24