Question 1: (2.2, -1.4). Question 2: (1.33, 1). Providing a detailed analysis, the equations for the given lines are specified as (1) passing through points (0, 2.5) and (2.2, 1.4), and (2) through (0, -3) and (2.2, -1.4). We are tasked with locating a common solution or intersection of these equations. This leads to finding x = 2.2, and consequently y = -1.4. Therefore, the solution set is (2.2, -1.4). For question 2, the equations yield a solution of (1.33, 1).
Answer:
840
Step-by-step explanation:
As the arrangement matters, we apply the permutations formula to find the solution.
Permutations formula:
The count of possible arrangements of x items chosen from a total of n items is defined by this formula:
For this problem:
Jose occupies the first seat.
The other four can be arranged among the remaining 7 family members. Thus
Hence, the final answer is:
840
The bathtub's depth measures 18 inches
It takes 2 minutes to fill 3 inches of the bathtub
Subsequently
The remaining depth needed for filling with water = (18-3) inches
= 15 inches
The time needed to fill the remaining 15 inches of the bathtub = (15*2)/3 minutes
= 30/3 minutes
= 10 minutes
Therefore, John is right in believing that it will require an additional 10 minutes to fill the tub to the brim at the same rate.
Hope this clarifies things!
21 minutes. Step-by-step explanation: Considering the following: Using CITY STREET: The duration to drive to the nearest bowling alley is 45 minutes, which is 0.75 hours. The travel speed is 30 miles per hour. Switching to FREEWAY: the travel speed here is 65 miles per hour. Assuming both routes cover the same distance, the time required on the FREEWAY will be as follows: The distance calculated using the city route results in 30 mph = distance / 0.75 hour, giving a distance of 22.5 miles. As the distance remains consistent: Time taken on the FREEWAY = distance / speed, which results in 22.5 / 65 = 0.3461538 hours. Converting to minutes = 0.3461538 × 60, which rounds to approximately 21 minutes.
The total perimeter of the school crossing sign measures 102 inches.
To find the length of each side, knowing the number of sides is necessary.
If it has 5 sides, dividing 102 by 5 results in 20.4 inches per side.
If it has 4 sides, dividing 102 by 4 gives a side length of 25.5 inches.
So, the side length depends on how many sides the sign has.
