A machine takes 5.4 hours to make 9 parts. At that rate how many parts can the machine make in 25.8 hours

Answer:

C.7

Step-by-step explanation:

The world consists of a continuous expanse of land.

This land is categorized into various regions referred to as the continents.

There are seven continents on Earth, which are as follows:

1) Asia

2) Africa

3) North America

4) South America

5) Antarctica

6) Europe

7) Australia.

To solve this question, follow the steps outlined below:

1. Since 1 yard equals 36 inches, to convert 50 yards to inches involves:

2. If he is standing 50 yards away from the school, and the map indicates that the school is 34 inches away from him, when it shows 3 inches the actual distance is:

3. If you express this back in yards:

Consequently, the answer is: 158.82 inches or 4.41 yards.

Answer:

B. (x + 16) + (6x − 4) = 180

Step-by-step explanation:

The Theorem of Cyclic Quadrilaterals states that in any quadrilateral located within a circle, the angles opposite to each other will sum to 180 degrees. Therefore, the conclusion can be drawn:

∠A + ∠C = 180° leading to (x + 16) + (6x - 4) = 180°

∠B + ∠D = 180° which equates to x + (2x - 16) = 180°

Answer:

D. R(x) = 850x +9600

Detailed explanation:

Selling 10 additional machines increased revenue from $18100 to $26600, which reflects an increase of...

... $26,600 minus $18,100 equals $8,500

This indicates that revenue rose by $8500 divided by 10, which equals $850 per machine.

Only one option contains this value:

... D. R(x) = 850x+9600

_____

Verification

R(10) = 850·10 +9600 = 8500 +9600 = 18,100.... Correct

R(20) = 850·20 +9600 = 17000 +9600 = 26,600.... Correct

_____

Comments on choice selection

In multiple-choice scenarios, it's often not required to solve the entire problem accurately. Generally, it's enough to identify the single number that distinguishes the correct from the incorrect options.

In reality, problems are seldom multiple-choice. One must go through the process thoroughly and determine whether the answer is accurate.

Here, we delved deep enough to find the slope, representing the revenue gain when one unit increase in sales occurs. Different methods can determine the intercept. One such method is to identify the value that aligns revenue with one of the "x" values:

... R(10) = 850·10 +b = 18100

... b = 18100 -8500 = 9600

therefore...

... R(x) = 850x +9600

We can verify this answer by calculating R(20) as shown previously.