The table shows the prices for the same cereal, sold in different weights. Which size box is the best buy, in terms of price per ounce?

A. 9 oz
B.18 oz
C.28 oz
D.38 oz

(4c + 4d)² =

= (4c)² + 2 * 4c * 4d + (4d)² =

= 16c² + 32cd + 16d²

Answer:

D and E

Step-by-step explanation:

3(23+18)=123

6(18)=108.  6(19)=114.  6(20)=120.  6(22)=132.  6(24)=144

Answer:

-7/3

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The "x" coordinate goes before the y coordinate. For example, it is (x, y)

To solve:

When the x coordinate, or the gasoline used (In gallons) is 1, then we need to find what d is.

On the graph, d = 25 miles per gallon.

So, the answer is B.

Discount = 365*30/100 = $109.5

sales price = 365*70/100 = $255.5

Do you understand what i am doing

Answer:

Step-by-step explanation:

sub y = x - 1 into equation 1

2x + x - 1 = 5

3x = 6

x = 2

sub x = 2 into equation 2

y = 2 - 1

y = 1

Answer:

Expression that represents the sale price of the wedding dress is  

Solution:

Given that, the dress is on sale for 35 % off the regular price

Let the regular price of dress be "w"

To find: Expression that represents the sale price of the wedding dress

Let "s" be the sale price of wedding dress

Sale price = Regular price - discount price

Discount price is given as:

Discount price = 35 % of regular price

Discount price = 35 % of w  

Thus discount price = 0.35w

Expression for the sale price of the wedding dress:

Sale price = Regular price - discount price

s = w - 0.35

s = 0.65

s= 0.65

Thus expression that represents the sale price of the wedding dress is

s=0.56

Answer:

Step-by-step explanation:

use the rule they tell you of  1.5

so (x,y) ⇔1.5(x,y)

w = (2,0)

x = ( 0,2)

y = (-2, 1)

z = (0, -2)

1.5(x,y)

W' = (3,0)

X'= (0, 3)

Y' = ( -3, 1.5)

Z' = (0, -3)

nice :)

Sector area can be found with the formula [tex]A = \frac{\theta}{360} \pi r ^2[/tex] where [tex]\theta[/tex] is the central angle.

r = 8m , [tex]\theta[/tex] = 135º

[tex]A = \frac{135}{360} \pi (8)[/tex] m^2

Arc length formula is [tex]s = 2\pi r (\frac{\theta}{360} )\\[/tex]

[tex]s = 2\pi (8)(\frac{135}{360} )\\[/tex] m

Answer:

I think it is the line F..

Answer:

-4x + 7x - 2y + 7y =

3x + 5y

Step-by-step explanation:

Hope that this helps :)

Answer: x+2 1/4

Step-by-step Explanation: It does not tell you how much you had before they added 2 1/4 cups of water. all you need is a variable to represent the unknow number. A variable is a letter that represents something, A-Z.

Answer:

The answer is "Choice d"

Step-by-step explanation:

Given data:

7 position [tex]5, 10 , 9, 8 , 2 \times 3^3[/tex]

calculating the left most filled by any of D, E, H, G, X

a possible way to fill =5

calculating the next 3 value that will be filled 0 to 10 without any repetition

possible way to fill [tex]=10 \times 9 \times 8[/tex]

calculting the last filled any if set [tex]\{I,V,X\} \ \ or \ \ \{P,Q,R\}[/tex] with repetation

possible way [tex]=2 \times 3^3[/tex]

Total different licence plates [tex]= 5 \times 10 \times 9 \times 8 \times 2 \times 3^3=194400[/tex]

Answer:

1. C(n) = 2.25n + 120

2. R(n) = 3.51n

3. P(n) = 1.26n - 120

1. 96 frozen bananas must be sold in order to make a positive profit.

2. In order to make a profit, I have to sell a minimum of 96 frozen bananas.

Step-by-step explanation:

1. Write a function, C(n), to represent your total costs for the week if you sell n frozen bananas.

Total cost is the addition of total variable cost and total fixed cost. Therefore, the function is as follows:

C(n) = 2.25n + 120

Where 2.25n is the total variable cost while 120 is the total fixed cost.

2. Write a function, R(n), to represent the revenue from the sale of n frozen bananas during the week.

Revenue is equal to selling price per unit multiplied by the number of units sold. Therefore, the function is as follows:

R(n) = 3.51 * n

R(n) = 3.51n

Where 3.51 is the selling price per unit while n the number of units sold.

3. Write a function, P(n), that represents the profits for selling n frozen bananas in a given week.

Profit is equal to total revenue minus total cost. Therefore, the function can be derived as follows:

P(n) = R(n) - C(n)

P(n) = 3.51n - 2.25n + 120

P(n) = 1.26n - 120

1. How many frozen bananas must you sell in order to make a positive profit? Write your answer as a whole number.

This can be obtained by equating the profit function to zero and solve for n as follows:

P(n) = 0 => 1.26n - 120 = 0

Therefore, we have:

1.26n = 120

n = 120 / 1.26

n = 95.2380952380952 frozen bananas

Writing it as a whole number, we have:

n = 95 frozen bananas

However, using this whole number will result in a negative profit by substituting it into the profit function as follows:

P(n) = (1.26 * 95) - 120 = -$0.30

Therefore, n has to be increased by one to 96 which is also a whole number to have a positive profit as follows:

P(n) = (1.26 * 96) - 120 = $0.96

Therefore, 96 frozen bananas must be sold in order to make a positive profit.

2. Complete the following sentence to explain the meaning of #1:

In order to make a profit, I have to sell a minimum of 96 frozen bananas.

Answer:

The null hypothesis is that there is no difference between the mean time it takes an online trained employee or a team-based trained employee to assemble the given part

Step-by-step explanation:

The information the director of the equipment manufacturing company is interested in determining is weather the productivity of assembly line employees is affected by the method used in their training

The total number newly hired employees in the sample = 42

The number of newly hired employees that receive training online = 21

The number of newly hired employees that receive training in a team = 21

The given data of the result of the time it takes an employee to assemble a part is presented as follows;

On-Line 19.4, 16.7, 20.7, 19.3, 21.8, 16.8, 14.1, 17.7, 16.1, 19.8, 16.8, 19.3, 14.7, 16.0, 16.5, 17.7, 16.2, 17.4, 16.4, 16.8, 18.5

Team; 22.4, 13.8, 18.7, 18.0, 19.3, 20.8, 15.6, 17.1, 18.0, 28.2, 21.7, 20.8, 30.7, 24.7, 23.7, 17.4, 23.2, 20.1, 12.3, 15.2, 16.0

The mean time for the of the on-line trained employee, [tex]\overline x_1[/tex] = 17.55714

The standard deviation of the time for the of the on-line trained employee, s₁ = 1.93328

The mean time for the of the team based trained employee, [tex]\overline x_2[/tex] = 19.89048

The standard deviation of the time for the of the team based trained employee, s₂ = 4.5667

The null hypothesis, H₀:  [tex]\overline x_1[/tex] = [tex]\overline x_2[/tex]

The alternative hypothesis, Hₐ:  [tex]\overline x_1[/tex] ≠ [tex]\overline x_2[/tex]

[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]

Therefore, we have;

[tex]t=\dfrac{(19.89048 - 17.55714)}{\sqrt{\dfrac{4.57667^{2}}{21} - \dfrac{1.93328^{2} }{21}}} \approx 2.5776[/tex]

The degrees of freedom, df = n₁ - 1 = 21 - 1 = 20

At 95% confidence level, we have α = 1 - 0.95 = 0.05, and t = 2.086

Therefore, given that the test statistic is larger than the critical 't' value, we reject the null hypothesis. There is sufficient statistical evidence to show that there is a difference between the mean time of assembly value for the on-line trained and team-based employee

Answer:

$49.445 or $49.5 if they round

Step-by-step explanation:

Answer:

$948.45

Step-by-step explanation:

■ Sales tax: $49.45

■ Cost/Price before ST: $899.00

■ Total Cost/Price including ST: $948.45

Answer:

dhkmbhuigago katangina mo

Answer:

hope help you stay happy

100+75+70+x= 360° (sum of interior angles of quadrilateral)

x= 360-245= 115°

Answer:

Player A receives $77.34375 of the sakes

Player B receives $22.65625 of the stakes

Step-by-step explanation:

Given that at the time the game was interrupted, we have;

The number of points player A  has = 7 points

The number of points player B has = 5 points

The amount the first player to score 10 points wins = $100

The number of points remaining for player A to win the game = 3

The number of points remaining for player B to win the game = 5

Therefore, the number of trials remaining for a winner to emerge = 3 + 5 - 1 = 7 trials

We take the probability that Player A wins a point as success

We find the likelihood of Plater A winning by using binomial theory as follows;

[tex]P(S) = \sum\limits_{j=3}^7 \dbinom{7}{3} \cdot \dfrac{1}{2^7} = \dfrac{35}{128} + \dfrac{35}{128} + \dfrac{21}{128} + \dfrac{7}{128} + \dfrac{1}{128} = \dfrac{99}{128}[/tex]

Therefore, given that the likelihood of Player A winning = 99/128

The stakes should be divided such that Player A gets 99/128 share of the stakes while Player B gets 1 - 99/128 = 29/128 share of the stakes

Therefore, Player A gets (99/128) × $100 = $77.34375

Player B gets (29/128) × $100 =  $22.65625

Answer:

12 toppings

Step-by-step explanation:

9x5=45

540/45=12

Answer:

132 m²

Step-by-step explanation:

overall area = 12 m x 12 m = 144 m²

area of path = 1 m x 12 m = 12 m²

144 m² - 12 m² = 132 m²

Answer:

4

This figure has 4 lines of symmetry.

Step-by-step explanation:

Literally, lets not waste anybody's time. Super simple fix, you'll thank me later!

Type in desmos graphing calculator.

a) a total of 677 were not satisfied. Of these 494 made a purchase  494/677

b) a total of 624 made a purchase. Of these 494 were not satisfied 494/624

Answer:

5.0 and 5.1

Step-by-step explanation:

√26 = 5.099019514 , it's from the calculator

Answer:

the square root of 26 must lie between 5 and 6

Step-by-step explanation:

5.099019514