Mitch needs to purchase soft drinks for a staff party. he is trying to figure out if it is cheaper to buy the 12-pack of soda or the 20-pack of soda. the 12-pack of soda costs $3.99, and the 20-pack of soda costs $5.48.
i. which pack should mitch choose?
ii. what is the difference in cost between single cans of soda from each of the two packs?

i)20-pack of soda bottles

ii) 0.0585

Step-by-step explanation:

i)Cost each soda in 12-pack of soda =

= $0.3325

cost each soda in 20-pack of soda =

=$0.274

since, cost of each soda is cheaper for 20-pack soda, Micht needs to purchase the same.

ii)  the difference in cost between single cans of soda from each of the two packs= $(0.3325- 0.274)= $0.0585

=$0.0585

a) Mitch should choose second one

b) $ 0.06 (approx)

Step-by-step explanation:

Cost of 12- pack of soda Cups= $3.99

Cost of 1 pack of soda cup= $

Cost of 1 pack of soda cup= $ 0.33(approx)

Cost of 20- pack of soda Cups= $5.48

Cost of 1 pack of soda cup= $

Cost of 1 pack of soda cup= $ 0.27(approx)

The cost of later one is cheaper than first one.

1) Mitch should choose 20- pack of soda cups costs $5.48

2) Cost of first soda cup= $ 0.33

   Cost of second soda cup= 0.27

     Difference= 0.33 -0.27

       Difference= 0.06

Hence, the difference in cost between single cans of soda from each of two pack is approx $ 0.06

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.

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