PLEASE HELP!! ASAP NOWWWW Two races that a student runs every year are the 1492​-mile race in his hometown and the ​-meter race in his college town. Complete parts​ (a) through​ (d) below.
PLEASE HELP!! ASAP NOWWWW Two races that a student runs - 1

Answers

Answer 1
Answer:

Answer:

College town race is 31% of the home town race.

Step-by-step explanation:

Length of hometown race = 3 miles

Length of college town race = 1492 meters

Since 1 meter = 0.0006214 miles

Therefore, 1492 = 0.93 miles

Percentage of college town race to the hometown race,

= \frac{\text{College town race}}{\text{Home town race}}* 100

= (0.93)/(3)* 100

= 31%

Therefore, the college town race is 31% of the home town race.

Answer 2
Answer:

The college town race is approximately 46.31% of the hometown race in length.

First, let's convert both race distances to a common unit of measurement. We'll convert the 2-mile hometown race to meters since the college town race is already in meters.

1 mile is approximately equal to 1609.34 meters. So, the 2-mile hometown race is:

2 miles * 1609.34 meters/mile = 3218.68 meters

Now, we can calculate the length ratio between the college town race and the hometown race:

College Town Race Length: 1492 meters

Hometown Race Length: 3218.68 meters

To find the percentage of the college town race length compared to the hometown race length, we can use the following formula:

(Length of College Town Race / Length of Hometown Race) * 100

(1492 meters / 3218.68 meters) * 100 ≈ 46.31%

So, the college town race is approximately 46.31% of the length of the hometown race.

To know more about percentage here

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How many times does 4 go into 55

Answers

Answer:

13

As a decimal its 13.75

Hope this helps!!

Answer:

13 times

Step-by-step explanation:

4 * 13 is 52 and 55 - 52 is 3 if you add 4 to 52 it would be 56 not 55

An oilfield contains 6 wells that produce a total of 1,800 barrels of oil per day. For each additional well that is drilled, the average production per well decreases by 25 barrels per day. Required:
How many additional wells should be drilled to obtain the maximum amount of oil per day?

Answers

Answer:

The additional wells for maximum amount of oil per day is 3 wells.

Step-by-step explanation:

Given;

initial number of wells, n = 6

total production, T = 1800

average production per well, = 1800/6 = 300 barrels per day

Let the additional well = y

total number of wells after optimization = 6 + y

new production per well = 300 - 25y

new total production = (6+y)(300-25y)

t = 1800 - 150y + 300y - 25y²

t = 1800 + 150y - 25y²

dt / dy = 150 -50y

for maximum value, dt/dy = 0

150 - 50y = 0

50y = 150

y = 150 / 50

y = 3

Therefore, the additional wells for maximum amount of oil per day is 3 wells.

Final answer:

By setting up the equation of the total daily oil production and finding its maximum, we learn that approximately 13 additional wells should be drilled to maximize the daily oil production.

Explanation:

To find out how many additional wells should be drilled to obtain the maximum

amount of oil

per day, we must firstly set up an equation to represent the situation. The total daily oil production is equal to the number of wells multiplied by the daily production per well. Given the conditions in the question, we can express this as:

Total daily oil production = (6 + x) * (1800 - 25x)

where x represents the number of additional wells that should be drilled. In order to find the maximum of this function, we would have to differentiate this equation and set the derivative equal to 0 then solve for x. This would be up to the individual's level of mathematical experience. However, one can use a financial calculator or a graphic calculator to find the maximum and get approximately 13 additional wells.

Learn more about Maximizing oil production here:

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In a large Introductory Statistics lecture hall, the professor reports that 55% of the students enrolled have never taken a Calculus course, 32% have taken only one semester of Calculus, and the rest have taken two or more semesters of Calculus. The professor randomly assigns students to groups of three to work on a project for the course. What is the probability that the first groupmate you meet has studied a) two or more semesters of Calculus?
b) some Calculus?
c) no more than one semester of Calculus?

Answers

Answer:

a) There is a 13% probability that a student has taken 2 or more semesters of Calculus.

b) 45% probability that a student has taken some calculus.

c) 87% probability that a student has taken no more than one semester of calculus.

Step-by-step explanation:

We have these following probabilities:

A 55% that a student hast never taken a Calculus course.

A 32% probability that a student has taken one semester of a Calculus course.

A 100-(55+32) = 13% probability that a student has taken 2 or more semesters of Calculus.

a) two or more semesters of Calculus?

There is a 13% probability that a student has taken 2 or more semesters of Calculus.

b) some Calculus?

At least one semester.

So there is a 32+13 = 45% probability that a student has taken some calculus.

c) no more than one semester of Calculus?

At most one semester.

So 55+32 = 87% probability that a student has taken no more than one semester of calculus.

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

Fill in the blanks to express the quantities given in ratio language. Ratios must beexpressed in simplest form.
Number of Miles Driven in a Week:
Person Hurry and answer need a answer right at this moment
Miles
Annabelle 24
Scarlett
56
Daniel
40
Kylie
8
For every
y miles Annabelle drove, Daniel drove miles.
Submit Answer

Answers

Answer:

I think it's 1.67 miles

Step-by-step explanation:

24:40    

1 /24 = x/40

24x/24 = 40/24

1 = 1.67 miles

I hope this helps?

For every 1 mile Annabelle drove, Daniel drove 1.67 miles.

I may be wrong.

Probably am...

Find x. Round to the nearest tenth if needed.

Answers

Answer:

x = 16

Step-by-step explanation:

Use that the addition of all internal angles of a triangle must add up to 180, and the fact that the two given triangles are similar:

51 + 65 + 4 x = 180

combine and solve for "x"

116 + 4 x = 180

4 x = 180 - 116

4 x = 64

x = 64 / 4

x = 16

Answer:

x = 16

Step-by-step explanation:

A triangle is 180 degrees. Since two of the angles are congruent to each other, the third angle must be congruent as well. This means that the third measure for both triangles is 4x. Knowing all of this, we can solve for x:

65 + 51 + 4x = 180

116 + 4x = 180

4x = 64

x = 16

When you convert 3,500,000,000,000 to scientific notation, the exponent

Answers

Answer:

The exponent is positive, and the exponent is 12

Step-by-step explanation: