A coffee distributor needs to mix a(n) Tanzanian coffee blend that normally sells for $10.50 per pound with a Rift Valley coffee blend that normally sells for $12.00 per pound to create 70 pounds of a coffee that can sell for $10.99 per pound. How many pounds of each kind of coffee should they mix?

They should mix 13.72 pounds of Rift Valley coffee and 56.28 pounds of Tanzanian coffee.

Step-by-step explanation:

Given:

A coffee distributor needs to mix a(n) Tanzanian coffee blend that normally sells for $10.50 per pound with a Rift Valley coffee blend that normally sells for $12.00 per pound to create 70 pounds of a coffee that can sell for $10.99 per pound.

Now, to find the pounds of each kind of coffee they should mix.

Let the pounds of Tanzanian coffee be

Let the pounds of Rift Valley coffee be

So, total pounds of coffee is:

Now, the total price of coffee per pound is:

Substituting the value of from equation (1) we get:

Subtracting both sides by 735 we get:

Dividing both sides by 2.5 we get:

Rift Valley coffee = 13.72 pounds.

Now, substituting the value of in equation (1):

Tanzanian coffee = 56.28 pounds.

Therefore, they should mix 13.72 pounds of Rift Valley coffee and 56.28 pounds of Tanzanian coffee.

huh? im pretty sure it is in 199

step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places