Answer:
D. a complex sentence
Step-by-step explanation:
A. is incorrect because it does not include a conjunction to connect the two sentences.
B. is incorrect because the sentence is not asking a question.
C. is incorrect because the sentence includes two sentences.
D. is correct because a complex sentence includes and independent clause(elizabeth likes to trek with her friends during the weekend) and a dependent clause( which is also a great way to socialize and stay fit)
Answer:
37.25, 35.5, 33.75, <u>32</u>, <u>30.25</u>.
Step-by-step explanation:
Subtract the first term from the second term:
35.5 - 37.25 = -1.75
Subtract the second term from the third term:
35.5 - 33.75 = -1.75
The common difference is -1.75.
To find each subsequent term, add the common difference to the current term.
33.75 + (-1.75) = 32
32 + (-1.75) = 30.25
Answer:
37.25, 35.5, 33.75, <u>32</u>, <u>30.25</u>.
1 yard is 3 feet.
18/3 = 6
Therefore, the actual ratio is 6 yards to 5 yards. Getting rid of like terms, we find that the simplest form ratio is 6:5
Answer:
<h3>
There is a constant of variation in the equation and it is 750. This means that the amount olivia earns increases by $750 every week.</h3>
Step-by-step explanation:
Given the equation y = 750x which represents the number of dollars y Olivia earns in x weeks, from the equation, it can be inferred that the number of dollars olivia earns is DIRECTLY PROPORTIONAL to the number of weeks. This relationship is therefore a direct variation.
In direct variation, increase in a variable will lead to corresponding increase in the other variable and vice versa by a factor known as the constant of variation.
For example if y is directly proportional to x, it is written mathematically as shown;



where k is the constant of proportionality.
comparing the general expression above with the equation in question,
y = 750x
k = 750
Therefore we can conclude that there is a constant of variation in the equation and it is 750. This means that the amount olivia earns increases by $750 every week.
The distance between Layana's house and store is 4 units.
<u>Explanation:</u>
Given:
Coordinates of Layana's house = 
Coordinates of the store = 
It can also be written as:
Coordinates of Layana's house =
Coordinates of the store =
The distance between the house and the shop is:

On substituting the value we get:

Therefore, the distance between Layana's house and store is 4 units.