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mart [117]
3 years ago
7

A map is drawn to a scale of 1:50000.The distance between long mountain and plaine des papayes is 17.5 cm on the map.find the ac

tual distance in km.
Mathematics
1 answer:
timofeeve [1]3 years ago
7 0

Answer:

8.75 km.

Step-by-step explanation:

You can set up a ratio of the map to the actual distance of \frac{1}{50000}.

Then, this ratio can be used to cross multiply and divide to get an equivalent ratio for the distance:

\frac{1}{50000}=\frac{17.5 cm}{x cm} By cross-multiplying we have x (in centimeters) = 17.5×50000. This tells us that x = 875,000 cm.

However, the answer asks for the distance in kilometers, so we need to convert it. There are 100,000 centimeters in a kilometer, so by dividing: 875000÷100000=8.75 kilometers.

You might be interested in
Find the perimeter of a towel thay measures 2 feet by 3/4 foot
levacccp [35]
A typical towel is the shape of a rectangle.
Rectangles have 2 opposite pairs of congruent (equal) sides.
To find perimeter, find the sums of all the sides.

The measures of the towel's sides are:
2 feet
2 feet
3/4 foot
3/4 foot

Add these together to find the perimeter.

2 + 2 + 0.75 + 0.75 = 5.5

The perimeter of the towel is 5.5 feet.

Hope this helps!
:)
7 0
3 years ago
A phone sells for $137.99. It is now on sale for 1/10 off the original price. Tom has a coupon for an extra 5% off the sale pric
vlabodo [156]

Answer: Tom will pay $20.01 lesser than the original price.

Step-by-step explanation:

The original price of the phone is $137.99. It is now on sale for 1/10 off the original price. This means that the discount on the original price is 1/10 × 137.99 = 13.799. The new price will be the original price - the discount.

The new price is 137.99 - 13.799 = $124.191

Tom has a coupon for an extra 5% off the sale price. It means that Tom would pay 5% off $124.191. The amount that Tom would pay will be

124.191 - (5/100 × 124.191) = 124.191 - 6.20955 = $117.98

The difference between the original price and the price that Tom will pay is

137.99 - 117.98 = $20.01

7 0
3 years ago
A survey of 1,000 men and women asked, "Do you earn over $50,000 per year?" The table below shows the responses for males and fe
Effectus [21]

Based on the data, it is found that "being female" and "earning over $50,000" are not independent events. the correct answer is option D.

<h3>What is probability?</h3>

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Two events, A and B are independent, if:

P(A \cap B) = P(A) P(B)

In this problem, the events are:

  • Event A: Being female.
  • Event B: Earning over $50,000.

Out of the 1000 people, 450 are female, hence:

P(A) = \dfrac{450}{1000} = 0.45

850 earn over $50,000, hence:

P(B) = \dfrac{850}{1000} = 0.85

375 are women who earn over $50,000, hence:

P(A \cap B)  = \dfrac{375}{1000} = 0.375

The multiplication of the probabilities is:

P(A \cap B)  = 0.45(0.85} = 0.3825

Therefore based on the data, it is found that "being female" and "earning over $50,000" are not independent events. the correct answer is option D.

To know more about probability follow

brainly.com/question/24756209

#SPJ1

3 0
2 years ago
Marcus wants to determine how age and weight are related to exercise preference in his town. He selects a simple random sample o
mario62 [17]

Answer:

He will be unable to tell whether a difference in exercise preference is related to a difference in age or to a difference in weight

Step-by-step explanation:

age could be a factor to exercise as well as weight so both affect the outcome so he has two samples

3 0
3 years ago
Alice's goal is to have $30 in her account. She starts with $24.60 from washing cars. She spends $8.25 at the movies. Then she e
bazaltina [42]
24.60 - 8.25 + 11.50 = 30

16.35 + 11.50 = 30

27.85 <span>≠ </span>30

Alicia does not have $30, she needs to earn 2.15 more dollars
3 0
4 years ago
Read 2 more answers
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