A furniture manufacturer produces chairs and sofas. Each chair requires 10 yards of fabric, and each sofa requires 20 yards of f

Answer:

When both computers collaborate, the task will be completed in 24 minutes

Step-by-step explanation:

Given the following conditions:

There are two computers; the slower model can send all company emails in 60 minutes.

The faster unit manages to perform the same task in 40 minutes

To determine the LCM of 40 and 60

LCM (40, 60) = 120

To evaluate the efficiency of both computers

Let x represent the efficiency of the faster model and y stand for the efficiency of the slower model

x = 120/40 = 3

y = 120/60 = 2

Hence, adding them gives x + y = 3 + 2 = 5

Consequently, the combined efficiency of both computers working in tandem = x + y = 5

To calculate the time required for both to finish the job together

time = 120/5 = 24 minutes

Answer: The one who read the 15 pages prior read the most.

Step-by-step explanation:

Step-by-step explanation: Since the number P(t) increases proportionally to the number of individuals unaware of the product, we establish that initially, nobody is aware of the product at the campaign's start and that 50% are aware after 50 days of advertisements. Thus, we determine: P(0) = 0 and P(50) = 1,500,000, leading to a first-order ordinary differential equation. The integrating factor must be calculated and both sides of the equation manipulated accordingly. Hence, upon integrating and solving, we arrive at the equation modeling the number of people (in millions) aware of the product over time.

Answer:

25%

Step-by-step explanation:

George has a wealth that is 33% (%) greater than Pete's. Let’s assume Pete's wealth percentage is 100%.

Thus, George's wealth percentage = 100% + %

                                                           = %

                                                           = 133%

To find out how much poorer Pete is compared to George, we can calculate;

                                                           = ÷ × 100

                                                           = × × 100

                                                           = 0.25 × 100

                                                           = 25%

Pete is 25% less wealthy than George.

Jada intends to provide milk and nutritious cookies at a gathering for her book club. She has planned to offer 12 ounces of milk and 4 cookies for each participant. With her included, the total number of club members is 15. Each package of cookies has 24 cookies and is priced at $4.50. A gallon of milk has 128 ounces and costs $3. Let n denote the club members, m for the ounces of milk, c for the cookies, and b for Jada's budget in dollars. Identify all equations that could represent the relevant quantities and constraints in this scenario.

â m = 12(15)

n refers to the club members

b. 3m + 4.5c = 6

c. 4n =

m stands for ounces of milk

& 44.50) = C

c indicates the cookies

e b=2(3) + 3(4.50)

b denotes Jada's budget in

currency

The equations applicable for representing the quantities and constraints in this scenario are:

a) m = 12(15)

c)4n = c

e) b = 2(3) + 3(4.50)

Detailed explanation:

Jada is set to provide milk and nutritious cookies for her book club meeting

She plans to prepare 12 ounces of milk and 4 cookies for each individual

She has 15 members in total

A pack of cookies contains 24 cookies and costs $4.50

A gallon of milk has 128 ounces and costs $3

Designate the total members by n

Ounces of milk = m

The number of cookies = c

Jada's budget in dollars = d

y = 12(15)

Each individual will receive 4 cookies

4n = c

As one pack contains 24 cookies

She requires = 15 × 4 = 60 cookies

60 ÷ 24 = 2.5

Thus, she would need to purchase 3 packs of cookies

She needs = 15 × 12 = 180 ounces of milk

A gallon of milk contains 128 ounces

180 ÷ 128 = 1.406

She will need to acquire 2 gallons of milk

It's noted: from the prompt

Each gallon of milk costs $3

Each package of cookies costs $4.50

b serves as Jada's dollar budget

b = 2(3) + 3(4.50)

<pThe relevant equations that could signify the quantities and constraints in this scenario are:

Options a, c and e are valid