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JulijaS [17]
3 years ago
8

A white-tailed deer can sprint at speeds up to 30 miles per hour. American bison can run at speeds up to 3,520 feet per minute.

Which animal is faster and by how many miles per hour? There are 5,280 feet in one mile
Mathematics
1 answer:
CaHeK987 [17]3 years ago
7 0

Answer:

Step-by-step explanation:

This is asking for the answer in miles per hour, so the one we will convert is the bison's speed, currently in feet per minute.  Keep in mind that

5280 feet = 1 mile and

60 minutes = 1 hour

and set up the equivalencies for each using the factor label method learned first in chemistry, most likely:

\frac{3520ft}{minute}*\frac{1mile}{5280ft}*\frac{60minutes}{1hour}=

When it is set up this way, the feet label cancels and so does the minute label, leaving us with miles per hour.  Multiply straight across the top and then dividde that product by 5280 to get an answer of

40 miles per hour

This means that the bison is faster by 10 miles per hour than the deer.

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There are five identical blue books, two identical green books, and three identical black books. How many different patterns can
dsp73

Answer:

2520 patterns

Step-by-step explanation:

In 'n' 10!  ways, books can be arranged. But, there are also 5! permutation of blue books 'n1', 2! permutation of identical green books 'n2', and 3! permutation identical black books 'n3'.

Therefore, for non identical arrangements:

\frac{n!}{n1!n2!n3!}

\frac{10!}{5!2!3!} = 2520

Therefore, the books can be arranged on a shelf in 2520 patterns

8 0
3 years ago
What’s the answer the multiple choice is there to please don’t guess
Anit [1.1K]
<h3>Answer: Point E is located at (2, 3)</h3>

====================================

Explanation:

The sequence PQRST has T as the last letter.

The sequence ABCDE has E as the last letter

The two letters T and E pair up or they correspond. So T will rotate to land on point E. Or T will rotate to point E's location.

Point T is at location (-3,2). So x = -3 and y = 2.

-------

Use the rule

(x,y) ---> (y, -x)

which is the rule we use when we rotate any point 90 degrees clockwise around the origin. We swap the x and y coordinates, then change the sign of the second coordinate (after the swap happens).

This means,

(-3, 2) ----> (2, -(-3)) = (2, 3)

or simply

(-3, 2) ---> (2, 3)

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3 years ago
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