Unit 1: rational numbers
solve it! : school supplies
the parent teachers association (pta) at your school donate school supplies to increase student
creativity and student success in the classroom. your teacher would like you to create kits that include
one package of colored pencils, one glue stick, and one ruler. when you receive the supplies, you notice
the colored pencils are packaged 12 boxes to a case, the rulers are packaged 30 to a box, and glue
sticks are packaged 4 to a box.
ikit - 1pk of pencils, iglue and one ruler
glue
4/box
colored pendis
12/box
rulers
30/box

i believe your answer is 99.7% of 7-year-old children are between 46.6 inches and 49.5 inches tall.

1

x = 1

step-by-step explanation:

0 ÷ x = 0

0 ÷ 1 = 0

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