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
Product of mean = Product of extreme
Dividing both sides by 35;
The length of pathway is 10 inches on map.
Keywords: Ratio, proportion
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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.
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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next three terms
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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Chose exactly 2 answers.
A)4x-12
B)3x-4
C)3(2x-6)
D)4(x-5)