the fastest a human has ever run is 27 miles per hour. how many miles per minute did the human run

Answer:

12 R11 or 12 11/12

Step-by-step explanation:

Answer:

Option D.

Step-by-step explanation:

The given expression is [tex](5.5\times 10^{-6})-(3.7\times 10^{-7} )[/tex]

We have to write it in the simplified form.

[tex](5.5\times 10^{-6})-(3.7\times 10^{-7} )[/tex]

= [tex](5.5\times 10^{-6})-(0.37\times 10^{-6} )[/tex]

= (5.5 - 0.37)×[tex]10^{-6}[/tex]

= 5.13×[tex]10^{-6}[/tex]

Option D will be the answer.

The possible number of rows that Brooke could set up are 2, 5, 7, 10, and 14.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Let x be the number of rows. There is not room for more than 20 rows:

x ≤ 20

Since all rows must be equal, when we divide 70 by x, we must get a whole number. So, we must find all divisors of 70 smaller or equal to 20 and they are: 2, 5, 7, 10, and 14.

So, the possibilities are:

2 rows with 35 chairs in each row

5 rows with 14 chairs in each row

7 rows with 10 chairs in each row

10 rows with 7 chairs in each row

14 rows with 5 chairs in each row

Therefore, the possible number of rows that Brooke could set up are 2, 5, 7, 10, and 14.

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"Your question is incomplete, probably the complete question/missing part is:"

Brooke has to set up 70 chairs in equal rows for the class talent show. but, there is not room for more than 20 rows. what are the possible number of rows that Brooke could set up.

Answer:

[tex]\frac{1}{2^{10}}=2^{-10}[/tex]

Step-by-step explanation:

[tex]\frac{1}{1024}[/tex]

To get the expression with negative exponent , we need to convert the number 1024 in exponential form

[tex]1024= 2^5 \cdot 2^5= 2^{10}[/tex]

Replace the denominator by 2^10

[tex]\frac{1}{2^{10}}[/tex]

Now we apply exponential property

[tex]\frac{1}{a^m} =a^{-m}[/tex]

[tex]\frac{1}{2^{10}}=2^{-10}[/tex]

negative exponent other than -1 is [tex]\frac{1}{2^{10}}=2^{-10}[/tex]

Answer:

3,5,6,7,9

These are the answers

The swimming pool will contain 482 gallons of water after 6 hours.

To find out how many gallons of water the pool will contain after 6 hours, we can use the formula: Volume = initial volume + rate of change * time. In this case, the initial volume is 500 gallons, the rate of change is -3 gallons per hour, and the time is 6 hours.

Using the formula, we have: Volume = 500 + (-3 * 6) = 500 - 18 = 482 gallons.

Therefore, the pool will contain 482 gallons of water after 6 hours.

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Part 1: Pizza and tacos will be served on the same day again in 11 school days.

Part 2: No, pizza and tacos will not be served on the same day in 21 school days because 21 is not divisible by the LCM of 4 and 3, which is 12.

Part 1: To find the number of school days until pizza and tacos are served on the same day again, we need to find the least common multiple (LCM) of 4 and 3, which represents the cycle length for both pizza and tacos.

Find the least common multiple (LCM) of 4 and 3.

LCM(4, 3) = 12

Subtract 1 from the LCM to find the number of school days until pizza and tacos are served on the same day again.

Number of school days = LCM(4, 3) - 1

Number of school days = 12 - 1

Number of school days = 11

Therefore, pizza and tacos will be served on the same day again in 11 school days.

Part 2: To determine if pizza and tacos will be served on the same day in 21 school days, we need to check if 21 is divisible by the LCM of 4 and 3, which is 12.

Divide 21 by the LCM of 4 and 3.

21 ÷ 12 = 1, with a remainder of 9

Since the remainder is not 0, pizza and tacos will not be served on the same day in 21 school days.

Explanation: The cycle of pizza and tacos being served on the same day repeats every 12 school days (LCM of 4 and 3). If the number of school days is divisible by 12, then pizza and tacos will be served on the same day. However, since 21 is not divisible by 12 (it has a remainder of 9), pizza and tacos will not be served on the same day in 21 school days.

Complete question:

Part 1: Pizza is served in the school cafeteria every fourth school day. Tacos are served every third school day. Both pizzas and tacos are served today. In how many school days will pizza and tacos be served on the same day again? Part 2: If the pattern continues, will pizza and tacos be served on the same day in 21 school days? Explain why or why not.

Answer:

Option C is correct that is  ∠ERT and ∠MRC are vertically opposite.

Step-by-step explanation:

Vertical angles are the angles that are exactly opposite to each other in crossed lines.

Here, ∠ERT and ∠MRC are the two angles that are  vertically opposite.

Therefore, Option C is correct.  

Rest all three option A,B and D are discarded.

An expression like (3+5) × (4-1) is a combination of numbers and at least one operation. The expression can be simplified by performing the operations in the parentheses first, then applying the multiplication operation.

An expression like (3+5) × (4-1) is a combination of numbers and at least one operation. In this expression, the numbers 3, 5, 4, and 1 are combined using the addition and subtraction operations. The addition operation is represented by the symbol '+', and the subtraction operation is represented by the symbol '-'. The expression can be simplified by performing the operations in the parentheses first, then applying the multiplication operation:

(3+5) × (4-1) = 8 × 3 = 24

The annual interest rate is 6% and this can be determined by using the formula of simple interest and also by using the given data.

Given :

The formula of the simple interest can be used in order to determine the annual interest rate.

The formula of the simple interest is given by:

A = P(1 + rt)

where A is the final amount, P is the principal amount, r is the rate of interest, and t is the time in years.

Now, substitute the values of the known terms in the above formula.

520 + 156 = 520(1 + 5r)

Simplify the above expression in order to determine the value of 'r'.

676 = 520(1 + 5r)

1.3 = (1 + 5r)

0.3 = 5r

r = 0.06

Now, multiply by 100 in order to determine the percentage.

r = 0.06 [tex]\times[/tex] 100

r = 6%

So, the annual interest rate is 6%.

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The  Statement 3: "There are exactly 30 more girls than boys". is absolutely true.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

The ratio of the number of boys to the number of girls at Liam's school is 4:5 and there are 270 students at his school.

4x + 5x = 270

9x = 270

x= 30

Then, Total boys = 4(30) = 120

Total girls = 5(30) = 150

We can see that Clearly, (Number of girls) > (Number of boys)

Difference =  (Total girls) - (Total boys)

= 150-120

= 30

Hence, The  Statement 3: "There are exactly 30 more girls than boys". is absolutely true.

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Answer:

[tex] 664 \frac{47}{50}  [/tex]

Step-by-step explanation:

Let's first add 16/25 with 3/10. To do that, we look for the least common multiple between 25 and 10, which is 50 and we put it in the denominator. Then, we have to compute (50/25)*16, which is equal to 32, and add it to (50/10)*3, which is equal to 15  

[tex] \frac{16}{25} + \frac{3}{10} = \frac{32 + 15}{50} = \frac{47}{50} [/tex]

On the other hand, to the non-fraction terms, we just add them. So, 632 + 32 = 664

Finally, the result  is 664 47/50

The first 5 multiples of 18 is = 18 ,  36 , 54 , 72 , 90

The factors of 18 are = 1 , 2 , 3 , 6 , 9 and 18

What are Factors of a Number?

Numbers that divide an original number evenly or precisely are known as its factors. A factor is a whole number that can divide a larger number in two equal parts. A factor is a number that divides another number, leaving no remainder

Given data ,

Let the number be A = 18

Now ,

The factors of 18 are = 1 , 2 , 3 , 6 , 9 and 18

The factor pairs of 18 is given by

Factor pairs are the two numbers that, when multiplied, give the number 18.

Therefore, pair factors of 18 are (1,18), (2,9), and (3,6)

The prime factorization of 18 is  

Prime Factorization of 18 = 2 × 3²

The first 5 multiples of 18 is = 18 ,  36 , 54 , 72 , 90

Hence , first 5 multiples of 18 are 18 , 36 , 54 , 72 , 90 and the factors of 18 are 1 , 2 , 3 , 6 , 9 and 18

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