The ratio of the height to the width of a packaging label is 5 to 19. if the height of the label is 2 inches, what is its width? hint: set up and solve as a proportion and find x.

7.6 inches

Step-by-step explanation:

The ratio of the height to the width of a packaging label is 5 to 19, that is,

h/w = 5/19 [1]

If the height of the label is 2 inches, and its width is unknown (x), that is,

h/w = 2 in/x [2]

We can set up a proportion with [1] and [2],

5/19 = 2 in/x

We use the cross product property of proportions.

5 × x = 19 × 2 in

x = 19 × 2 in/ 5 = 7.6 in

The width is 7.6 inches.

a

step-by-step explanation:

the answer is a

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for