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rewona [7]
2 years ago
13

Susan needs to walk a total distance of 1/2 of a mile. She has walked 1/8 of a mile so far. How much further does she have to go

? Simplify the fraction if possible.
Mathematics
1 answer:
Zielflug [23.3K]2 years ago
6 0

Step-by-step explanation:

Susan needs to walk a total distance of 1/2 of a mile. She has walked 1/8 of a mile so far. How much further does she have to go? Simplify the fraction if possible.

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Two cities have nearly the same​ north-south line of 110 degrees Upper W. The latitude of the first city is 23 degrees Upper F c
inn [45]

Answer:

CORRECTED QUESTION:

Two cities have nearly the same​ north-south line of 110 degrees Upper W. The latitude of the first city is 23 degrees Upper N, and the latitude of the second city is 36 degrees N. Approximate the distance between the cities if the average radius of Earth is 6400 km.

ANSWER: 1452.11 km

Step-by-step explanation:

Since the two cities both lies on the Northern latitude of the sphere along  the same longitude, we are going to subtract the angles the latitude that each city subtend at the equator.

36 - 23 = 13 degrees   i.e the angles between the with two cities on a cross section the large circle formed by the longitude and its center.

Applying   the formula for the length of an arc on a sector on the large circle  

(∅/ 360) x 2πR

where, ∅ = is the angle between the two cities

R = radius of the Earth.

13/360 x 2 x π x 6400 = 1452.11 km

7 0
3 years ago
I need help with steps of solving this equation.
saveliy_v [14]

Answer:

x = {-1/5, 1}

Step-by-step explanation:

(5x - 2)² - 1 = 8

Add 1 to both sides

(5x - 2)² = 9

Take the square root of both sides

5x - 2 = ±3

------------------------------

<u>Solution I</u> for 5x - 2 = +3

5x - 2 = 3

add 2 to both sides

5x = 5

Divide both sides by 5

x = 1

------------------------------

<u>Solution II</u> for 5x - 2 = -3

5x - 2 = -3

add 2 to both sides

5x = -1

Divide both sides by 5

x = -1/5

-------------------------------

x = {-1/5, 1}

6 0
2 years ago
In a recent 10-year period, the change in the number of visitors in the U.S. National parks was about -11,150,000. What was the
Trava [24]

Answer:

Mean = -1,115,000 per year.

Step-by-step explanation:

Mean = (Σx)/N

The mean is the sum of variables divided by the number of variables

Σx = sum of variable = change in number of visitors over a 10 year period = -11150000

N = number of variables = 10

Mean = (-11150000)/10

Mean = -1,115,000 per year.

Hope this Helps!!!

4 0
2 years ago
What is 8 3/5 + 4 4/5?
dangina [55]

Answer:

67/5 = 13 2/5

Step-by-step explanation:

Step 1: <u>Define/explain.</u>

An easier way to solve this is by changing the mixed fractions to improper fractions.

To do this, multiply the whole number by the denominator, then add the product to the numerator; the denominator remains the same.

Mixed fraction - a fraction with a whole number.

Improper fraction - a fraction with a numerator larger than the denominator.

Step 2: <u>Solve.</u>

8\frac{3}{5} =\frac{43}{5}

4\frac{4}{5} =\frac{24}{5}

From here, add as usual.

\frac{43}{5} +\frac{24}{5} =\frac{67}{5}

Step 3: <u>Conclude.</u>

You can change the improper fraction to a mixed fraction if you'd like.

To do this, divide the numerator by the denominator.

The amount of times the numerator evenly goes into the denominator is the whole number.

The amount of remaining numbers in the denominator.

The numerator remains the same.

\frac{67}{5} =13\frac{2}{5}

I, therefore, believe the answer to this is 13 2/5.

5 0
2 years ago
Select the domain and range<br><br> Will give 100 points
8090 [49]
The domain is (-3,0) U (2,4)
The range is (-2,-1) U (1,2)
7 0
2 years ago
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