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3 years ago

Choose which reasoning process is shown in the following example. Explain your answer.

Mathematics

2 answers:

PilotLPTM [1.2K]3 years ago

8 0

Answer:

adding

Step-by-step explanation:

tino4ka555 [31]3 years ago

7 0

Answer:

Step-by-step explanation:

When you deduct something it means an intelligent reasoning based on given information for prediction.

In the above case we have a given formula from which we can deduct the facts .

We see a general statement is given from there we get a specific value.

By the way the formula given meant n(n+2)/ 2

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During the first hour of operation the farm stand owner sold 15% of the apples he had. On the second hour he sold 20% of the rem

liraira [26]

Answer:

3.825 kg apples.

Step-by-step explanation:

Let x kg be the amount of apples stand owner had initially.

We have been given that during the first hour of operation the farm stand owner sold 15% of the apples he had. Then the amount of sold apples will be:

$\text{The amount of sold apples during 1st hour}=\frac{15}{100}x=0.15x$

$\text{The amount of remaining apples after 1st hour}=x-0.15x$

$\text{The amount of remaining apples after 1st hour}=0.85x$

On the second hour he sold 20% of the remaining apples. So the amount of sold apples on the second hour will be 20% of 0.85x.

$\text{The amount of sold apples during 2nd hour}=0.85x*\frac{20}{100}$

$\text{The amount of sold apples during 2nd hour}=0.85x\times 0.20$

$\text{The amount of sold apples during 2nd hour}=0.17x$

During the second hour 25.5 kg of apples were sold, so we can set up an equation as:

$25.5=0.17x$

$\frac{25.5}{0.17}=\frac{0.17x}{0.17}$

$150=x$

So, stand owner had initially 150 kg of apples.

$\text{The amount of remaining apples after 2nd hour}=0.85x-0.17x$

$\text{The amount of remaining apples after 2nd hour}=0.68x$

On the third hour he sold 25% of the remaining apples. So the amount of sold apples on the 3rd hour will be 25% of 0.68x

$\text{The amount of sold apples during 3rd hour}=0.68x*\frac{25}{100}$

$\text{The amount of sold apples during 3rd hour}=0.68x*0.25$

$\text{The amount of sold apples during 3rd hour}=0.17x$

$\text{The amount of remaining apples after 3rd hour}=0.68x-0.17x$

$\text{The amount of remaining apples after 3rd hour}=0.51x$

As remaining apples were sold 5% more each following hour.

$\text{The amount of sold apples during 4th hour}=0.51x*\frac{5}{100}$

$\text{The amount of sold apples during 4th hour}=0.51x*0.05$

$\text{The amount of sold apples during 4th hour}=0.0255x$

Let us substitute x=150 into above equation we will get,

$\text{The amount of sold apples during 4th hour}=0.0255*150$

$\text{The amount of sold apples during 4th hour}=3.825$

Therefore, 3.825 kg of apples were sold during the 4th hour.

7 0

3 years ago

It takes 20 minutes to drive to a mall at 30 mph. How long in minutes will it take to drive to the mall at 40 mph?

makvit [3.9K]

At a speed of 40 mph, it would take 15 minutes to drive to the mall

The first step to take in order to determine the answer is to determine the distance driven to the mall. This information is not given so it has to determined.

Distance = speed x total time

speed = 30 mph.
time = 20 minutes

Speed is measured in hours, while time is measured in minutes. Both data has to be converted to the same time measurement

To convert time to hour, divide by 60 = 20 / 60 = 1/3

Distance = 1/3 x 30 = 10 m

The second step is to use the distance determined in the previous step to determine the time it would take to travel at a speed of 40 mph

Time = Distance / Average Speed

10 / 40 = 1/4 hours

To convert hours to minutes, multiply by 60 :1/4 x 60 = 15 minutes

In order to determine the time that it would take to drive to the mall, first determine the distance to the mall. Use the distance and speed to determine the time

A similar question was solved here: brainly.com/question/14391898?referrer=searchResults

6 0

2 years ago

Jordan is another employee at the same coffee shop. He has worked there longer than Gabe and earns $3 more per hour than Gabe. C

Mademuasel [1]

We need a picture of the table

6 0

3 years ago

On a road map 1<br> inch represents<br> 1,500 miles. How<br> many miles<br> represent 4 inches?

tiny-mole [99]

Answer:

6000 miles

Step-by-step explanation:

1 in = 1500 miles

4 in = ___ miles

We simply just multiply 1500 and 4

1500 x 4 = 6000

4 in = 6000 miles

3 0

3 years ago

What is the value of the discriminant? 4x2+15x=3x-9

Ray Of Light [21]

Answer:

Step-by-step explanation:

Use the values of a , b , and c to find the discriminant.

8 0

3 years ago