Acoffee merchant wants to make 6 pounds of a blend of coffee costing five dollars per pound. the blend is made using a six dollar per pound grade coffee and a three dollar per pound grade of coffee. how many pounds of each of these grades should be used?

We should use 4 pounds of $6 coffee and 2 pounds of $3 coffee for the blend.

Step-by-step explanation:

The blend should,

Cost = $5

Weigh = 6 pounds.

Lets take the weight of $6 coffee as pounds

And lets take the weight of $3 coffee as pounds.

Lets write an equation for the weight of the blend,

<---------- 1st equation.

=

= <---------- 2nd equation

We can substitute to x in 1st equation from 2nd equation,

⇒

=

=

=

We can substitute y value to 2nd equation to find x,

⇒

==

Therefore, we should use 4 pounds of $6 coffee and 2 pounds of $3 coffee for the blend.

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.

step-by-step explanation: