Suppose you used a computer to find out if 1147 was a prime number. Which numbers would you tell the computer to divide by?

Subtract 3 from the sum and then divide by 2. One number is 5 and the other is 8.

The correct response is:

3 inches rise for every foot in length

Explanation:

To derive the rate of change, we need to compute the difference in height and the difference in distance. The rate of change is expressed as rise/run, or

(change in height)/(change in length).

The respective heights at the specified points are 18 inches and 12 inches, resulting in a change of 18-12 = 6 inches.

The corresponding lengths at those points are 6 feet and 4 feet, yielding a change of 6-4 = 2 feet.

This implies our rate of change is (6 inches)/(2 feet), which simplifies to (3 inches)/(1 foot), indicating a rise of 3 inches for each foot of incline on the driveway.

Answer:

The answer to this question is C: (72,24).

Step-by-step explanation:

According to the information provided:

The price of one cap is $5

The price of one t-shirt is $10

Let x represent the number of caps sold

Let y represent the number of t-shirts sold

The drama club aims to raise at least $500 for their trip.

Hence, we can establish the inequality as follows:

The number of caps sold x (times) price of one cap + number of t-shirts y (times) price of one t-shirt ≥ (greater than or equal to) 500

Inequality: 5x + 10y ≥ 500 (The greater than or equal to symbol indicates the drama club needs at least $500 for the journey.Next, we need to ascertain the number of caps and t-shirts sold.

- We can eliminate

two

of the options which are

the two answers containing negatives

because we understand that multiplying a positive by a negative yields a negative, which is unacceptable. (Thus, Options A and D are not valid.)Now we will substitute x and y into our inequality equation (5x + 10y ≥ 500)B) x = 65 caps, y = 17.5 t-shirts ------> 5(65) + 10(17.5) = 500 results in $500

YOU MAY THINK THIS IS THE ANSWER, BUT! if you look closely at variable y, it indicates they sold 17.5 t-shirts; however, consider how can you sell 17.5 t-shirts?

Thus, this option is also invalid!

C) x = 72 caps, y = 24 t-shirts ------> 5(72) + 10(24)=

$600

which exceeds the required $500 that they needed. Therefore, the correct choice for this question is C, indicating they sold 72 caps and 24 t-shirts, accumulating $600.

The answer is C since 24-3=21, followed by 21/1.50=14 

Response:

0.16 acres for each sheep

Explanatory steps:

With a total of 40 acres allocated to 250 sheep, you would calculate the area per sheep by dividing the total acres by the sheep count. This can be represented as:

40/250 =....