Doune Punowing:7.

The length of the underground

pathway is 350 miles. If 1 inch

represents 35 miles, what is the

length of the underground pathway

on the map?

Answers

Answer 1
Answer:

The length of pathway is 10 inches on map.

Step-by-step explanation:

Given,

Total distance = 350 miles

According to map,

1 inch = 35 miles

Let, x be the number of inches on map.

Therefore, using proportion;

Inch : mile :: inch : mile

1:35::x:350\n

Product of mean = Product of extreme

35*x=350*1\n35x=350\n

Dividing both sides by 35;

(35x)/(35)=(350)/(35)\nx=10

The length of pathway is 10 inches on map.

Keywords: Ratio, proportion

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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.

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

4.5 , 3.25 , 2 , 0.75
next three terms

Answers

-.5 , -1.75, 3 hope that's what you wanted

What does cm3 mean in maths

Answers

centimeters cubed is what cm3 means its the number times the number times the number
Centimeters cubed so it is volume

What is the greatest common factor of 16 and 64

Answers

16: 1,2,4,8, and 16 

64: 1, 2, 4, 8, 16, 32, and 64

GCF: 16 

The greatest common factor of 16 and 64 is 16.

Given that we need to find the greatest common factor of 16 and 64,

To find the greatest common factor (GCF) of two numbers, such as 16 and 64, we need to determine the largest number that divides both of them without leaving a remainder.

First, let's find the factors of each number:

Factors of 16: 1, 2, 4, 8, 16

Factors of 64: 1, 2, 4, 8, 16, 32, 64

As we can see, both numbers have the factors 1, 2, 4, 8, and 16. The largest number that divides both 16 and 64 without leaving a remainder is 16.

In general, when finding the GCF of two numbers, we look for the common factors they share and choose the largest one.

In this case, since 16 is the largest common factor, it becomes the GCF.

Hence the greatest common factor is 16.

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Answers

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Answers

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