The freshman and sophomore classes at morristown high school are decorating floats for the school parade. the freshmen have already spent $307 on their float, plus they need to buy floral sheeting that costs $69 per roll. the sophomores, who have spent $342 so far on theirs, still need to purchase vinyl grass at $68 per roll. both classes plan to buy the same number of rolls, since they have the same area to cover. how many rolls will each class be buying?

each class would buy 35 rolls.

Step-by-step explanation:

Let x represent the number of rows of either floral sheeting or vinyl glasses that each class would buy.

The freshmen have already spent $307 on their float, plus they need to buy floral sheeting that costs $69 per roll. This means that the total cost of buying x floral sheetings would be

307 + 69x

The sophomores, who have spent $342 so far on theirs, still need to purchase vinyl grass at $68 per roll. This means that the total cost of buying x vinyl grass would be

342 + 68x

Since they are buying the same number of rolls to cover the same area, then

307 + 69x = 342 + 68x

69x - 68x = 342 - 307

x = 35

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.

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.