A jar holds 16 ounces of honey. A cook is going to make two recipes. One of the recipes calls for 2.5 ounces of honey, and the other calls for 4.25 ounces of honey. After the cook has made those two recipes, how many ounces of honey will be left in the jar?

There is 9.25 ounces of honey left

Step-by-step explanation:

We have an expression:

16-2.5-4.25

This is based on the facts the cook has 16 ounces of honey and uses 2.5 and 4.25 ounces of honey.

16-2.5-4.25

16-6.75

9.25

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

step-by-step explanation: