-13m = 78 (Find the value of m)

The known facts are: every animal possesses 2 eyes. Each cow has 4 legs, and every hen has 2 legs. Let's denote the number of cows as x and the number of chickens as y. According to the question, the total number of eyes is 162. Therefore, the equation can be framed as 2x + 2y = 162, simplifying to x + y = 81 (1). Additionally, the total number of legs is 270, leading to the equation 4x + 2y = 270, simplifying to 2x + y = 135 (2). By subtracting equation (1) from equation (2), we get x = 54. Substituting the value of x into equation (1) gives 54 + y = 81, leading to y = 27. Thus, to sum it up, total number of animals: cows = 54, chickens = 27.

Answer:

How much is the rent? And how many clothes does she want to buy?

Step-by-step explanation:

Given that,

Julia completes a 20-mile bike ride in 1.2 hours.

The distance Julia covers is 20 miles and her time taken is 1.2 hours.

Therefore, Julia's speed = = 16.67 mph

Katie finishes the same 20-mile ride in 1.6 hours.

Katie’s distance is 20 miles and her time is 1.6 hours.

Hence, Katie's speed = = 12.5 mph

To determine how much faster Julia rides compared to Katie, subtract Katie’s speed from Julia’s speed.

Thus, 16.67 mph minus 12.5 mph equals 4.17 mph, approximately 4.2 mph.

Consequently, Julia cycles 4.2 mph faster than Katie.

Answer:

Step-by-step explanation:

Step 1

Calculate the slope of the dashed line

The slope between two points is computed with the formula:

We consider

(-3,1) and (0,3)

and substitute into it:

Step 2

Determine the equation of the dashed line in slope-intercept form:

The equation we established is:

---> associated problem

Substituting yields:

Step 3

Establish the inequality corresponding to the graph

Given that it is represented by a dashed line, the area to the left of this line is shaded.

Thus,

Refer to the attached diagram for enhanced understanding of the problem.