Solve the system of equations -3x+2y=-3 and -x-y=-11 by combining the equations

Luke's Bakery recently spent a total of $69 on new equipment, and their average hourly operating costs are $15. Their average ho

WINSTONCH [101]

Answer:

It will take the bakery 2.875 hours to make back the amount invested.

The total expenses and receipts, both will = $112.125

Step-by-step explanation:

Given:

Cost of equipment = $69

Operation cost per hour = $15

Average hourly receipts = $39

To find how many hours will it take for the Bakery to make back the amount invested and what would the total expenses and receipts both equal

Solution:

Let the bakery take $t$ hours to make back the amount invested.

Operation cost for $t$ hours in dollars will be = $15t$

Equipment cost = $69

Total expenses in dollars can be given as = $15t+69$

Receipts for $t$ hours in dollars will be = $39t$

Since the bakery makes up the amount invested in $t$ hours, so the amount in expenses must be equal to the total receipts for $t$ hours.

Thus, we have:

$39t=15t+69$

Subtracting both sides by $15t$

$39t-15t=15t-15t+69$

$24t=69$

Dividing both sides by 24.

$\frac{24t}{24}=\frac{69}{24}$

∴ $t=2.875$

So, in 2.875 hours the bakery will be able to make back all the investment.

Total expenses in 2.875 hours will be = $15(2.875)+69=43.125+69=\$112.125$

Total receipts will be the same and can be given as = $39\times 2.875 = \$112.125$

6 0

4 years ago

Find the value of x.

kondor19780726 [428]

Use triangle calculator

8 0

3 years ago

Simplify the expression by combining any like terms. b + 8b

Ann [662]

Answer: 9b

Step-by-step explanation: 8b+1b is the same thing as 8b+b whcih is basically 8+1 which is 9 but since it is attached to the letter b is becomes 9b.

5 0

3 years ago

What is opportunity sampling

Yakvenalex [24]

Answer:

Opportunity sampling is also known as convenience and it can be defined as a sampling technique which typically involves the process of selecting participants from a population of interest (target group) to take part in a research study.

Step-by-step explanation:

In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.

There are various types of sampling used by researchers and these are;

1. Random sampling.

2. Systematic sampling.

3. Stratified sampling.

4. Cluster sampling.

5. Opportunity or convenience sampling.

Opportunity sampling is also known as convenience and it can be defined as a sampling technique which typically involves the process of selecting participants from a population of interest (target group) to take part in a research study.

This ultimately implies that, an opportunity sampling is a non-probability sampling in which a researcher select participants based on their availability for the study.

For example, John a psychologist standing on the street requesting that passersby join in his research study.

6 0

3 years ago

Find the gradient, picture below

hoa [83]

Answer:

$\frac{dy}{dx} = \frac{13}{8}$

Step-by-step explanation:

$y = 2x + 6 {x}^{ - \frac{1}{2} } \\ \frac{dy}{dx} = 2 + 6( - \frac{1}{2}) {x}^{ - \frac{1}{2} - 1 } \\ \frac{dy}{dx} = 2 - 3 {x}^{ - \frac{3}{2} } \\ \frac{dy}{dx} = 2 - \frac{3}{ \sqrt{ {x}^{3} } }$

When x = 4,

$\frac{dy}{dx} = 2 - \frac{3}{ \sqrt{ {4}^{3} } } \\ = \frac{13}{8}$

3 0

3 years ago

Read 2 more answers