A grocery store manager is ordering eggs. She orders a box of eggs
with 5 trays. Each tray has 6 packs of 6 eggs each. How many eggs are
in the box?

Answer:

Development costs: $2757

Promotion costs: $3155

Step-by-step explanation:

This might seem like a two-variable problem, but in actuality it's not - because the demand function is a sum of two components, each being independent and using only one variable, we can solve for the two separately.

Moreover, the price per unit and cost per unit is constant, so each product yields exactly $80 ($210 - $130).

Let's solve separately.

We need to maximize:

$80 * 160y/(y+4) - 1000y = $12800 * y/(y+4) - $1000*y

$80 * 170x/(x+7) - 1000x = $13600 * x/(x+7) - $1000*x

Let's go:

$12800 * y/(y+4) - $1000*y = $12800 * (1 - 4/(y+4)) - $1000y = $12800 - $51200/(y+4) - $1000*y

we analyze the derivative. $12800 is a constant, so we can skip it. Derivative of 1/(y+4) is -(y+4)^-2, derivative of $1000y is $1000.

deriv = $51200/(y+4)/(y+4) - $1000

We find the changepoints by analyzing $51200/(y+4)/(y+4) - $1000 = $0. We don't need to worry about y+4 = 0 because we cannot spend negative money on development/advertisement.

(y+4)^2 = $51.2

y+4 ~= 7.155417528 (or -y-4 = 7.1554... but it doesn't make sense because negative budget so we don't analyze).

y ~= 3.155417528

lastly, we should check that it's actually a maximum there - but it is, the original function goes to negative infinity.

rounding $1000y to the nearest dollar gives us $3155

Let's do the same for x:

$13600 * x/(x+7) - $1000*x = $13600 * (1 - 7/(x+7)) - $1000x = $13600 - $95200/(x+7) - $1000*x

deriv = $95200/(x+7)/(x+7) - $1000

$95200/(x+7)/(x+7) - $1000 = $0

(x+7)^2 = 95.2

(x+7) ~= 9.75704873412

x ~= 2.75704...

rounding $1000x to the nearest dollar yields $2757

Answer:

330cm²

Step-by-step explanation:

CSA of a cylinder = 2πrh

(r = d/2 = 21/2 = 10.5 cm)

Putting the values of 2πrh;

2 x 22/7 x 10.5 x 5

2 x 22 x 1.5 x 5 *(10.5/7 = 1.5)

330 cm²

Answer:x=4/3y+8

Step-by-step explanation:

Step 1: Add 4 to both sides.

Step 2: Divide both sides by 1/2.

Answer:

3x-4y =24

Step-by-step explanation:

hope this helped xoxo

Answer:

income:

6+5+4= 15

expenses:

10+3= 13

15-13= 2 dollars

Answer:

x ≈ 12.8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

Angle θ = 58°

Opposite Leg = x

Adjacent Leg = 8

Step 2: Solve for x

33x33=1089

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hope it helps

Answer:

363

Step-by-step explanation:

33x33=1089

[tex]\sqrt[3]{1089}[/tex] = 363

Answer:

10 meters

Step-by-step explanation:

Answer:

ten meters

Step-by-step explanation:

2x5=10

Answer:

120 units^2

Step-by-step explanation:

1/2bh

In this scenario rotate the triangle and you get 10 as the base and 24 as the height

1/2*10*24

12*10=120

Answer:

6,240 unit squared is the answer

Answer:

3

Step-by-step explanation:

2x+4=10

2(3)+4=10    2*3 = 6

6+4=10

10 = 10

Answer:

JH = 97.9

Step-by-step explanation:

25/12 = x/47

12x = 1175

x = 97.917

Let the students with B(s) be x.

So, the students with C should 10 more than x = x + 10

Total students = 50

=> students with B + students with C = 50

=> x + (x + 10) = 50

=> 2x + 10 = 50

=> 2x = 50 - 10 = 40

=> x = 40/2 = 20

Thus,

students with B = x = 20

students with C = x + 10 = 20+10= 30

Number of students who had a B are 20.

And, Number of students who had a C are 30.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

There are 50 students who had grades of B or C.

There were 10 more students with C’s than B’s.

Now,

Let number of students who had grade B = x

So, The number of students who had grade C = x + 10

So, we can formulate;

x + (x + 10) = 50

x + x + 10 = 50

2x + 10 = 50

2x = 50 - 10

2x = 40

x = 20

Thus, The number of students who had grade B = x

                                                                          = 20

So, The number of students who had grade C = x + 10

                                                                       = 20 + 10

                                                                       = 30

Therefore, Number of students who had a B are 20.

And, Number of students who had a C are 30.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Answer:

x = 3. y= 9

Step-by-step explanation:

2x +3 = -2x +15

4x = 12

x = 3

y 2(3) + 3 = 9

Reorder from least to greatest.

4, 4, 6, 6, 6, 8, 10, 15, 15

                /\

                 |

Median is the middle number.

This would be 6.

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hope it helps

Answer:

first one

Step-by-step explanation:

all the others are lower than 3/4 or .75

Answer:

A'(4, -3) ; T'(-1, 4)

Step-by-step explanation:

Multiply the coordinates by 1/2, or divide them by 2 to get the new points.

A(8, -6) ⇒ A'(4, -3)

T(-2, 8) ⇒ T'(-1, 4)

Answer:

[tex]46 - 6 \sqrt{5} [/tex]

Step-by-step explanation:

hope it helped

Answer:

1. 250%

2. 975%

3. 420%

4. 730%

Hope that helps!

Answer:

2.3,7,127

Step-by-step explanation:

a₁ = 2

a₂ = 2² - 1 = 3

a₃ = 2³ - 1 = 7

a₄ = 2⁷ - 1 = 127

Answer:

f−1(x) = [tex]\frac{4x}{6}[/tex]

Step-by-step explanation:

f(x) = 0.25(6)x, find f−1(x).

f(x) = 0.25(6)x

f(x) = [tex]\frac{6}{4}[/tex]x = [tex]\frac{6x}{4}[/tex]

f(x) = y

y =  [tex]\frac{6x}{4}[/tex]

Substitute y for an x & x for a y

x = [tex]\frac{6y}{4}[/tex]

Multiply both sides by 4

4( x ) = 4( [tex]\frac{6y}{4}[/tex] )

4x = 6y

Divide both sides by 6 to solve for y

[tex]\frac{4x}{6}[/tex] = y

y = [tex]\frac{4x}{6}[/tex]

so f−1(x) = [tex]\frac{4x}{6}[/tex]

Answer:

theta = 210°

Step-by-step explanation:

To convert we radians to degrees all we have to do is multiply the radians by π/180:

radians * (180 / π) = degrees

((7π) / 6) * (180 / π) = 210°

Answer:

Cry about it wah wah wahhhhhhhh

Step-by-step explanation:

Answer:

[tex] cos(45 - \alpha ) - \sin(45 - \alpha )[/tex]

Answer:

452.16

Step-by-step explanation:

Simple, To the center is 6 and we are trying to find the circumference, So 6 x 6 = 36 then multiply it by pi (3.14) and we get 113.04 and it rotates 4 times so then we need to multiply 113.04 x 4 which is 452.16

Answer:

Step-by-step explanation:

despacito

Answer:

34.5

Step-by-step explanation:

11.50*3 = 34.5