Algebra- you make a large pot of soup. you freeze the soup in small and medium containers. a small container holds 4 ounces and a medium container holds 6 ounces. the soup can fill 6 small containers and 10 medium containers. a. write an equation in standard form that models the possible combinations of small and medium containers that the soup can fill. b. graph the equation from part (a) c. find four possible combination.

A. Let us say that:

s = number of small containers

m = number of medium containers

From the given data, the total volume of soup is:

total soup = 4 ounces * 6 + 6 ounces * 10 = 84 ounces

So the equation is:

4s + 6m = 84

B. We rewrite the equation explicit to one variable, here we choose s:

4s = 84 – 6m

s = 21 – 1.5m

Then we assign several values for m starting at 0 to get the corresponding value of s then plot the graph. See the graph attached.

C. From the graph, we choose the pair of s and m that are whole numbers. The four possible combinations are:

21 small containers, 0 medium containers

15 small containers, 4 medium containers

9 small containers, 8 medium containers

3 small containers, 12 medium containers

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."

answer: yard ramps with a level off platform are typically 36 feet long. truck, rather than at an angle, enabling access to those pallets at the very back of the truck. if you are using your yard ramp to convert a loading dock into a drive-in door, we even at 60 inches (5 feet) high and a 30 foot ramp, the slope of the ramp will be less

step-by-step explanation: