He walks 7.5 miles in 3 hours. What is his speed?

Answers

Answer 1
Answer:

The speed of the person walking 7.5 miles in 3 hours will be 2.5 miles per hour.

Speed is defined as the fraction of the distance travelled by the object and the time taken by the object.

To calculate the speed at which he is walking, we can use the formula:

Speed = Distance ÷ Time.

Let's break down the steps:

Given information:

  • Distance: 7.5 miles.
  • Time: 3 hours.

Apply the formula:

Speed = Distance ÷ Time.

Speed = 7.5 miles ÷ 3 hours.

Calculate the speed:

Speed = 2.5 miles per hour.

Therefore, his speed is 2.5 miles per hour.

To know more about speed follow

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Answer 2
Answer: 2.5 mph

You just divide 7.5 by three.

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Which shows a correct order to solve this story problem? Allie, Serena, and Mikala went to the movies. They spent a total of $30.90 for their movie tickets and $8.50 each for popcorn and drinks. The total tax for the tickets and snacks was $3.96. They split all the costs evenly. How much did each girl pay? A. Step 1: Add $30.90 and $8.50. Step 2: Add the tax to that amount. Step 3: Divide by 3. B. Step 1: Calculate the price of 1 ticket. Step 2: Divide the total tax by 3. Step 3: Add the amounts from Steps 1 and 2 to $8.50. C. Step 1: Add the price of the tickets and the amount spent on food. Step 2: Add the amount of the tax. Step 3: Divide that total by 2.
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All numbers that are evenly divisible by both 6 and 14 are also divisible by which of the following numbers? A. 8 B. 12 C. 21 D. 28

Gaby has a total of 36 coins in her piggy bank. If the only coins in the bank are nickels and quarters, and add upto $6, how many of each coin are in her piggy bank?

Answers

Answer:

21 quarters = 5.25

15 nickel. = .75

Step-by-step explanation:

21 + 15 = 36

5.25 + .75 = 6.00

Answer:

21 and 15

Step-by-step explanation:

Cos2a=1-2sin^2a for all values of a.

Answers

cos2a= cos^(2) a- sin^(2) a \n but \ cos^(2) a + sin^(2) a=1 \n i.e. \ cos^(2) a=1- sin^(2) a
Therefore,
cos2a=1- sin^(2) a- sin^(2) a \n =1-2 sin^(2) a

true (just did this on apex)

Subtract.
(3x - 8) - (x2 - 5x - 2)

Answers

Answer:

  -x^2 +8x -6

Step-by-step explanation:

Distribute the minus sign and collect terms.

  (3x -8) -(x^2 -5x -2)

  = 3x -8 -x^2 +5x +2

  = -x^2 +8x -6

The sum of a number and its square is 42. Which equation can be used to find the two numbers for which this is true?x^2 + x = 42
x^2 + 2x = 42
x^2 + x + 42 = 0
x^2 + 2x + 42 = 0

Answers

Answer:

The correct answer is x^2 + x = 42.

Step-by-step explanation:

First, we need to declare the unknown, as usual we will use x for the number. Then, the square of the number will be x^2. Following the order of the statement we have that x + x^2 =42. Here we have ‘‘translated’’ the term the sum in the mathematical operation of addition. Moreover, we convert the fact that the sum of a number and its square is 42 in a equality. This is the explanation of the equation x + x^2 =42.

Finally, using that the addition is commutative we have that x^2+x=42.  

x^2 + x = 42

sum indicates addition
a number = x
it's square = x^2

The graph of a function never has two different points with the same x-coordinate because.. A. the graph of a function cannot be a straight line. B. each input value is mapped to a single output value. C. each input value is mapped to more than one output value. D. the graph of a function is a vertical line.

Answers

The best answer to the question that is being stated above would be letter B. The graph of a function never has two different points with the same x-coordinate because the input value of each of the points is mapped to a single output value in the graph. 

Answer:  The correct reason is (B) each input value is mapped to a single output value.

Step-by-step explanation:  The given statement is:

"The graph of a function never has two different points with the same x-coordinate."

We are to select the correct reason for the above statement.

The definition of a FUNCTION is as follows:

In simple language, a function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

That is, if y = f(x) is a function of a variable 'x', then we have

x_1=x_2~~~~\Rightarrow f(x_1)=f(x_2).

(A) The first statement is "the graph of a function cannot be a straight line."

The statement is false. For example, let us consider y = x + 2. Obviously, it is a function because every value of 'x' will result in only one value of 'y'.

Also, the graph here will be a straight line as shown in the attached figure (1).

(B) The first statement is "each input value is mapped to a single output value."

The statement is true according to the definition of a function.

(C) The third statement is "each input value is mapped to more than one output value."

The statement is false by the definition of a function.

(D) The fourth statement is "the graph of a function is a vertical line."

The statement is false. For example, if we consider the vertical line x = 2. Then, we see from the attached figure (2) that the points (x, y) = (2, 1), (2, 0), (2, 3), etc. all lie on the line.

This shows that one input value leads to infinitely many values of 'y'. Hence, this vertical line cannot be the graph of a function.

Thus, (B) is the correct statement.

Which function below represents the arithmetic sequence 3, 7, 11, 15...? a) f(n) = 4 + 3(n - 1)

b) f(n) = 4 + 3n

c) f(n) = 3 + 4n

d) f(n) = 3 + 4(n - 1)

Answers

d) f(n) = 3 + 4(n-1)

3 = 1st term
4 = common difference among the terms
n = term number you are looking for.

To check: 3, 7, 11, 15, ...

f(1) = 3 + 4(1-1) = 3 + 4(0) = 3 + 0 = 3
f(2) = 3 + 4(2-1) = 3 + 4(1) = 3 + 4 = 7
f(3) = 3 + 4(3-1) = 3 + 4(2) = 3 + 8 = 11
f(4) = 3 + 4(4-1) = 3 + 4(3) = 3 + 12 = 15

Answer:

its d

Step-by-step explanation: