Subtract 350 from both sides then divide both sides by 25.
(c-350)/25 = h
Given that Trent's watch runs at half the speed it should run, this implies that
for every hour passed, his watch moves by half an hour.
Hence, for every half-hour passed, Trent's watch moves by 15 minutes.
Hence, when the real time is 10:30 am, Trent's watch will show 9:15 am.
Answer:
140
Step-by-step explanation:
To construct a subset of S with said property, we have two choices, include 3 in the subset or include four in the subset. These events are mutually exclusive because 3 and 4 can not both be elements of the subset.
First, let's count the number of subsets that contain the element 3.
Any of such subsets has five elements, but since 3 is already an element, we only have to select four elements to complete it. The four elements must be different from 3 and 4 (3 cannot be selected twice and the condition does not allow to select 4), so there are eight elements to select from. The number of ways of doing this is
.
Now, let's count the number of subsets that contain the element 4.
4 is already an element thus we have to select other four elements . The four elements must be different from 3 and 4 (4 cannot be selected twice and the condition does not allow to select 3), so there are eight elements to select from, so this can be done in
ways.
We conclude that there are 70+70=140 required subsets of S.
Answer:
∠ 5 = 49°, ∠ 6 = 131°
Step-by-step explanation:
∠ 5 and 49° are corresponding angles and are congruent, then
∠ 5 = 49°
∠ 5 and ∠ 6 are adjacent angles and are supplementary, sum to 180° , that is
∠ 6 + ∠ 5 = 180°
∠ 6 + 49° = 180° ( subtract 49° from both sides )
∠ 6 = 131°
Answer:
Step-by-step explanation:
<h3>Table 1</h3>
- x- values change 1 to 4
- y- values change inconsistently and repeat at -2
This is <u>not</u> a linear function
<h3>Table 2</h3>
- x- values change 1 to 4
- y- values change consistently, with common difference of -2
<u>This is a linear function</u>
<h3>Table 3</h3>
- x- values change 1 to 4
- y- values change inconsistently, the difference is not common
This is <u>not</u> a linear function
<h3>Table 4</h3>
- x- values change 1 to 4
- y- values change inconsistently, the difference is not common
This is <u>not</u> a linear function