Solve the problem using the guess-and-check method.

A company has determined that the number of items it sells varies inversely as the price of the item. If 20,000 items can be sol

mestny [16]

Let N be the number of items sold and p the price.
Since the variation is inverse, then the relation between N and p is:
$N=k\dfrac{1}{p}$
For N=20000 and p = $9.5, we get the formula:
$20000=k\dfrac{1}{9.5}\\p=20000\times9.5=190000$
If p = 8.75, then the number of items sold can be computed using the formula:
$N= 190000\dfrac{1}{8.75}=21714 \text{ total items}$

6 0

2 years ago

Simplify: 6 + √27 / 3

Ray Of Light [21]

Answer:

6 + √27 / 3

6+ (3√3/3)

6+√3

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Calvin works at a facility which processes apples. It costs the facility $0. 68 to make either a jar of applesauce or a bottle o

NNADVOKAT [17]

The number of bottles the facility requires to sell when it breaks is given by

a system of two simultaneous equations.

When the facility breaks even, it would have sold 77,579 bottles of apples juice.

Reasons:

The cost to make a jar of applesauce or a bottle of apple juice = $0.68

Number of jars of applesauce to be sold foe every 2 bottles of apple juice = 3 jars

The selling price for a jar of applesauce = $2.20

Selling price for a bottle of apple juice = $3.15

Annual overhead cost excluding production cost = $368,500

Required: Number of bottles of apple juice sold by the facility when it breaks even annually.

Solution:

Let J represent the number of bottles of apple juice sold, and let S represent the number of jars of apple sauce, by excluding the production cost, we have;

(3.15 - 0.68)·J + (2.2 - 0.68)·S = 368,500

S : J = 3 : 2

Which gives;

$\displaystyle \frac{S}{J} = \mathbf{ \frac{3}{2}}$