Hannah is at the supermarket to buy carrots and potatoes. If she buys 2 pounds of carrots and 3 pounds of potatoes, it will cost her a total of $8, and if she buys 4 pounds of carrots and 4 pounds of potatoes, it will cost her a total of $13. How much does a pound of carrots cost?

Potato price = $1.5 / pound ; Carrot price = $1.75 / pound

Step-by-step explanation:

Let price of carrot per pound = c

Let price of potatoes per pound = p

Given :

2c + 3p  = 8   (eqtn A)

4c + 4p = 13 (eqtn B)

Multiplying eqtn A by 2 ;

4c + 6p = 16

4c = 16 - 6p (eqtn Y)

By eqtn B ;

4c = 13 - 4p (eqtn Z)

By eqtn Y & Z ;

16 - 6p = 13 - 4p

16 - 13 = - 4p + 6p

3 = 2p

p = 3 /2

p = 1.5 [Potato price]

Putting p value in eqtn A

2c + 3 (1.5) = 8

2c + 4.5 = 8

2c = 8 - 4.5

2c = 3.5

c = 3.5 / 2

c = 1.75 [Carrot Price]

the answer is 45 i just did it on oddesy ware

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation: