Recently a small college had an enrollment of 1342 students and 215 faculty. What was the student-Faculty ratio for this college? Write your answer as both a mixed number in the simplest form and a decimal rounded to the nearest hundredth.

Answers

Answer 1
Answer: Answer=6.24 or 6 6/25

1342 students 215 faculty

1342/215=6.24 students per faculty

6.24=6 24/100
6 24/100 can be simplified to 6 6/25

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A store bought 9 cases of lightbulbs in May and 8 cases in June. There are 58 lightbulbs in each case. How many lightbulbs did the sore buy altogether??

Answers

do 58 x 9 and 58 x 8 then add them up. 
58 x 9 = 522 and 58 x 8 = 464
522 + 464 = 986
So the store bought 986 light bulbs in total.

Main Street and Washington Avenue meet at a right angle. A large park begins at this corner. Joe's school lies at the opposite corner of the park. Usually Joe walks 1.2 miles along Main Street and then 0.9 miles up Washington Avenue to get to school. Today he walked a straight path across the park and returned home along the same path. What is the difference in distance between the two round trips?

Answers

Joe walked a distance of 1.5 miles across the park to get to school.

And the difference in their 2 round trips is 1.2 miles.

What is Pythagoras' theorem?

Pythagoras' Theorem states that the square of the hypotenuse side of a right-angled triangle is equal to the sum of the squares of the other two sides.

We can use the Pythagorean theorem to find the distance that Joe walked today.

Let's call this distance d.

Since Joe walked a straight path across the park, the distance he covered can be represented by the hypotenuse of a right triangle, with Main Street and Washington Avenue as the legs.

Now,

d² = 1.2² + 0.9²

d² = 1.44 + 0.81

d² = 2.25

d = 1.5

Therefore, Joe walked a distance of 1.5 miles across the park to get to school.

To find the difference in distance between the two round trips, we can subtract the distance that Joe usually walks from the distance he walked today, and double the result, since he has to walk back home.

Hence,

2 × (-1.5 + 1.2 + 0.9) = 1.2 miles

Therefore, the required distance is 1.2 miles.

To learn more about the Pythagoras theorem;

brainly.com/question/343682

#SPJ3

Here is my work:
Distance is 1.2 miles
:-)

729 = __ to the 3rd power

Answers

the answer is 9 because 9 to the second power is 81 and 81*9 = 729 :)))
i hope this is helpful 
have a nice day 

Jenna lives 4 3/10 miles from school. She estimates that she travels 4×2×5 or 40 miles each week. Is her estimate an overestimate or an underestimate?

Answers

It would be an over estimate the answer should be
4 3/10 x 7 = 30 1/10 or
4 3/10 x 5 = 20 1/2
hope this helps
It will be an underestimate the answer is 43 I hoped that helped?

Solve 6x=9 can some one help rally need it

Answers

Answer:

x=1.5

Step-by-step explanation:

you divide 9 by 6 to get x

9÷6=1.5

A porch has the shape of a quarter circle with a diameter of 5 ft. What is the approximate area of the porch, rounded to the nearest square foot? Use 3.14 to approximate pi. The answer I got is 4.9ft

Answers

area of a quarter circle = ( pi x r^2 ) / 4
(3.14 x 2.5^2) /4 = 4.9 feet