on a math test it took Keira 30 minutes to do 6 problems. Heath finished 18 problems in 40 minutes. did the students work at the same rate? explain your reasoning.

Answer:

16.8°C

Step-by-step explanation:

Given :The daily high temperature of Elk Creek drops by 1.2°C every day.

To Find:What is the net change in the daily high temperature after two calendar weeks?

Solution:

Since we are given that The daily high temperature of Elk Creek drops by 1.2°C every day.

1 week = 7 days.

So, 2 weeks = days

Temperature drops per day = 1.2°C

So, temperature drops in 14 days =

Hence the net change in the daily high temperature after two calendar weeks is 16.8°C.

Answer:

16.8

Step-by-step explanation:

The pitch or slope of a roof is defined as the ration of rise and half of the span. In equation we can write:

Half-Span equals the run. So we can define the Pitch as:

Rise = 8 feet

Run = Half of span = 15 feet

Using the values in the above formula, we get:

Therefore, the pitch (or slope) of the roof in simplest form is 8/15

Pitch is normally defined as the vertical rise of a roof for ever 12 feet increase in its horizontal run. The above fraction shows the vertical rise is 8/15 for each 1 feet increase in the horizontal run. So if we simply multiply the the above fraction by 12, we will get the pitch in standard units.

So,

Pitch = 8/15 x 12 = 6.4

Therefore, the pitch of the roof will be 6.4

Answer:

14 and 10

Step-by-step explanation:

The ratio of the 2 numbers = 7x : 5x

The sum of the 2 numbers is 24, hence

7x + 5x = 24

12x = 24 ( divide both sides by 12 )

x = 2

7x = 7 × 2 = 14

5x = 5 × 2 = 10

Thus the numbers are 14 and 10