Question

There are 8 watermelons and 6 apples in the shopping cart. What is the ratio of apples to TOTAL fruits? Explain your answer to receive full credits.

A) 8:6
B) 8:14
C) 6:8
D) 6:14

Question 2:
Jose lifeguards at the local pool.
He worked for 10 hours and he made $150. Another day he worked for 6 hours and made $90.
What is his rate of pay in dollars per hour? You must explain your answer to receive full credit.

A) $15 per hour
B) $25 per hour
C) $10 per hour
D) $30 per hour

Question 2976 (History):
State 5 changes that marked the Agrarian revolution in Britain.

Question 2977 (Mathematics):
Select all the true statements.

The circumcenter can be outside the triangle.
The circumcenter, incenter, centroid, and orthocenter can lie either inside or outside the triangle.
The centroid can be outside the triangle.
The incenter can be outside the triangle.
The orthocenter can be outside the triangle.
Question 2978 (Mathematics):
Which expression is equivalent to (2x^2 + 6x - 3) + (x^2 - 2x - 7)?

A) 3x^2 + 4x - 10
B) 3x^2 + 4x - 2
C) 3x^2 + 4x - 14
D) 3x^2 + 6x - 10

Question 2979 (Literature):
In the beginning of the story, Jonas is looking for a word to describe how he is feeling about the upcoming ceremony of twelve. What is the word that he finally settles on? (The Giver)

Question 2980 (Biology):
The enzymes used in DNA replication and transcription belong to a larger class of molecules known as:

A) RNA
B) Proteins
C) Ion pumps
D) Amino acids

Answer 1

The ratio of apples to total fruits is 6:14. Jose earns $15 per hour as a lifeguard. In the Agrarian Revolution, multiple significant changes such as enclosure laws and agricultural advancements occurred. The circumcenter can be outside the triangle. The equivalent expression for the given polynomials is 3x^2 + 4x - 10. In 'The Giver', Jonas feels apprehensive. The enzymes used for DNA replication and transcription are proteins.

Step-by-step explanation:

To answer the first question regarding the ratio of apples to total fruits, you must first determine the total number of fruits. There are 8 watermelons and 6 apples, making a total of 14 fruits. So, the ratio of apples to total fruits is 6 apples to 14 fruits, which is option D) 6:14.

For question two, to find out Jose's pay rate, we divide the total amount he made each day by the number of hours he worked. On the first day, he made $150 for 10 hours, which is $150/10 = $15 per hour. On the second day, he earned $90 for 6 hours of work, which is $90/6 = $15 per hour. Thus, Jose's rate of pay is A) $15 per hour.

Regarding question 2976 from History, the Agrarian Revolution in Britain saw changes like the enclosure of common lands, the adoption of new agricultural techniques, crop rotation improvements, selective breeding of livestock, and the increased use of machinery.

In question 2977 (Mathematics), the statement that is true is: The circumcenter can be outside the triangle, and this typically occurs in obtuse triangles. The centroid cannot be outside the triangle as it is the center of mass, the incenter always lies inside because it is the center of the inscribed circle, and the orthocenter can be outside in obtuse triangles. The circumcenter, centroid, and orthocenter can all lie on the vertices of a right-angled triangle.

For question 2978 (Mathematics), the equivalent expression to (2x^2 + 6x - 3) + (x^2 - 2x - 7) is found by combining like terms. This results in 3x^2 (2x^2 + x^2) + 4x (6x - 2x) - 10 (-3 - 7), which gives us answer A) 3x^2 + 4x - 10.

Question 2979 (Literature) pertains to The Giver, where Jonas eventually settles on the word 'apprehensive' to describe his feelings about the upcoming Ceremony of Twelve.

Finally, for question 2980 (Biology), the enzymes used in DNA replication and transcription are part of the proteins class, hence the correct answer is B) Proteins.