A gardener can care for the Green's property in 5 hours. If his helper assists him, they can complete the job in 4 hours. How lo

Answer:

We would recommend the Country Route as its travel time is consistently estimated between 15 and 18 minutes.

Step-by-step explanation:

Jean lives approximately 10 miles away from the college where she plans to attend a summer class lasting ten weeks. She has two primary routes available, one that traverses the city and another that goes through the countryside.

Jean has set up a randomized trial in which she flips a coin each day to determine her travel route, collecting data from five days for both.

Country Route - 17, 15, 17, 16, 18 (in minutes)

City Route - 18, 13, 20, 10, 16 (in minutes)

Next, we need to evaluate which route is superior for Jean.

The data indicates that the Country route has timing ranging from 15 to 18 minutes, suggesting she will typically arrive within this timeframe.

Conversely, the City route timings show significant variation with a minimum of 10 minutes and a maximum of 20 minutes, indicating uncertainty regarding her arrival time.

Hence, it is advisable for her to select the Country route.

Answer:

The student should have divided the amount after the discount by the percentage expressed as a decimal.

Step-by-step explanation:

To tackle this, we can utilize ratios. For instance, 4 1/2 kg of olive oil costs $27. Therefore, the price for 1 kg of olive oil can be represented as follows: x = (27 * 1) / 4.5 which simplifies to x = 27/4.5. This calculation results in a cost of $6 per kilogram. Hope this is of assistance!

Answer:

B

Step-by-step explanation:

If two quantities have a direct variation, their graph will originate from the point of intersection at the origin.

Among all graphs, only Nikiya's intersects the origin, thus the answer is B.

The equation representing the circle centered at (-27, 120) that passes through the origin is:

Solution:

The general equation of a circle is expressed as:

Where,

(a, b) denotes the center of the circle

r signifies the radius

Given the center as (-27, 120)

Thus;

a = -27

b = 120

Considering it intersects the origin, meaning (x, y) = (0, 0)

Substituting (a, b) = (-27, 120) and (x, y) = (0, 0) into the equation

Input = 15129 and (a, b) = (-27, 120) into the equation

Hence, the equation characterizing the circle is determined