What property can justify each statement (pic included) i will give 20

emmasim [6.3K]

To make a profit of $10, the box should sell out for $30+$10=$40. Divided by 50 bars, that's 80 cents per bar.

6 0

3 years ago

Is the relationship shown by the data linear? How can you tell if it is or is not? If so, model the data with an equation.

yuradex [85]

Hello from MrBillDoesMath!

Answer: The relationship is linear. The equation is y = 2x + 19

Discussion:

When x changes from -7 to -5 ( and increment of of +2), y changes from 5 to 9 ( an increment of +4). When x changes from 5 to -3 (an increment of +2) , y changes from 9 to 13 (an increment of +4)... and so on.....

So far, when x changes by 2, y changes by 4. This means the data falls on a line (so is linear). In fact,

(change in y) / (change in x) = 4/2 = 2 = slope of line.

so y = 2x + b. As the line passes through the point ( -7, 5)

5 = 2 (-7) + b or

5 = -14 + b or ( adding 14 to both sides)

5 + 14 = 19 = b.

Hence the equitation the line is y = 2x + 19

Thank you,

MrB

6 0

3 years ago

Arrange 31/40, 78%, 0.7 in ascending order

Setler [38]

It would be first 31/40,0.7,78%

It might be wrong

5 0

3 years ago

Read 2 more answers

a coin is taken at random froma purse that contains one penny, 2 nickels, 4 dimes, and 3 quarters. let x be the value of the dra

algol [13]

Answer:

x = 12.6 pennies

Step-by-step explanation:

total number of coins = 1 + 2+ 4 + 3 = 10 coins

P(penny) = $\dfrac{1}{10}$

P(nickels) = $\dfrac{2}{10}$

P(dimes) = $\dfrac{4}{10}$

P(quarters) = $\dfrac{3}{10}$

hence average value of the coin

x = Penny x P(Penny) + nickel x P(nickel) + dimes x P(dimes) + quarters x P(quarters)

nickels = 5 pennies dimes = 10 ; and quarters = 25 pennies

$x = 1 \times \dfrac{1}{10} + 5\times \dfrac{2}{10} +10\times \dfrac{4}{10} + 25\times \dfrac{3}{10}$

x = 0.1 + 1 + 4 + 7.5

x = 12.6 pennies

hence, the average pennies for the first draw is equal to x = 12.6 pennies

6 0

3 years ago

Mrs. Jackson put a total of $10,000 into two accounts one account earns 6% simple annual interest the other account earns 6.5% s

kozerog [31]

Answer:

The money invested in account at 6 % rate is $ 9230.77

The money invested in account at 6.5 % rate is $ 769.23

Step-by-step explanation:

Given as :

The total amount saves in two account = $ 10,000

The two rate of interest are 6 % and 6.5 % at simple interest

The interest earn at 6 % rate = $ 632

The interest earn at 6.5 % ate = $ 50

Now, Let The amount deposit at 6 % rate = $ x

And The amount deposit at 6.5 % rate = $ 10,000 - $ x

<u>From Simple Interest method</u>

Simple Interest = $\dfrac{\textrm principal \times \textrm Rate\times \textrm time}{100}$

or, At 6.5 % rate

$ 50 = $\dfrac{\textrm (10,000 - x ) \times \textrm 6.5\times \textrm 1}{100}$

or, 10000 - x = $\frac{5000}{6.5}$

Or, 10000 - x = 769.23

∴ x = 10000 - 769.23

I.e x = $ 9230.77

So , At 6.5 % the amount deposit = 10,000 - 9230.77 = $ 769.23

So, At 6 % The amount deposit = $ 9230.77

Hence The money invested in account at 6 % rate is $ 9230.77

And The money invested in account at 6.5 % rate is $ 769.23 Answer

7 0

4 years ago