Ink rode his bike at a steady rate of 15 miles per hour for 2 1/2 hours. what distance did he travel?

Answers

Answer 1
Answer:

Answer:

37.5 miles

Step-by-step explanation:


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What is the value of x in the equation (x + 12) = (x + 14) – 3?

Answers

Answer:  There is NO value of 'x' in the given equation.

Step-by-step explanation:  We are given to find the value of 'x' in the equation below:

(x+12)=(x+14)-3~~~~~~~~~~~~~~~~~~~~(i)

Finding the value of 'x' in equation (i) means to find the value of 'x' for which the equation is TRUE.

The solution is as follows:

(x+12)=(x+14)-3\n\n\Rightarrow x+12=x+14-3\n\n\Rightarrow x+12=x+11\n\n\Rightarrow x-x=11-12\n\n\Rightarrow 0=-1,

which can NEVER be true.

So, the given equation has NO solution.

Thus, there is NO value of 'x' in the given equation.

(x + 12) = (x + 14) - 3

subtract 12 from each side

x = x + 14 - 3 - 12

Now if we subtract x from each side we see that x - x = 0.  Combine the terms left over and we have -1, so

0 = -1

The answer is NO SOLUTION

What is he reciprocal of 3

Answers

1/3 because reciprocal is the opposite
THE RECIPROCAL IS 1/3..............

Simplyfy the expression 4x+(15x+y) -11y​

Answers

Steps to solve:

4x + (15x + y) - 11y​

~Remove parenthesis and combine like terms

4x + 15x + y - 11y​

19x - 10y

Best of Luck!

Answer:

(64x -11)/y

Step-by-step explanation:

Multiply 4x into the parenthesis.

60x + 4xy -11y

Divide by y.

(60x + 4x -11)/y

(64x -11)/y

How do I solve this?

Answers

Answer:

Step-by-step explanation:

To find the values of a and b, we can use the given information and apply the properties of rectangles and parallel lines.

First, let's calculate the area of the rectangle PQRS. We are given that the area is 84 cm², and since PQRS is a rectangle, its area is equal to the product of its length and width. Therefore, we can set up the equation:

Length × Width = 84

Next, we know that XY is parallel to PS. This means that the length of XY is equal to the length of PS. Since the length of PS is a + b cm, we can write:

Length of XY = a + b

Now, we are given that the area of PXYS is 21 cm². Using the same logic, the area of PXYS is equal to the product of its length and width, so we can set up another equation:

Length of XY × Width of XY = 21

Since the width of XY is 9 cm (given as RY), we can substitute the values into the equation:

(a + b) × 9 = 21

Simplifying this equation, we get:

9a + 9b = 21

Now, we have two equations:

1) Length × Width = 84

2) 9a + 9b = 21

To solve these equations simultaneously, we need to rearrange equation 1) to solve for either length or width. Let's solve for length:

Length = 84 / Width

Substituting in the value of width from equation 2), we get:

Length = 84 / (9a + 9b)

Now, we can substitute this expression for length into equation 2):

(84 / (9a + 9b)) × (9) + 9b = 21

Simplifying this equation, we get:

84 + 9b = 21(9a + 9b)

Expanding, we get:

84 + 9b = 189a + 189b

Combining like terms, we get:

-180b = 189a - 84

Dividing by -180, we get:

b = (189a - 84) / -180

We have found the expression for b in terms of a.

To find the value of a, we can substitute this expression for b into equation 2):

9a + 9((189a - 84) / -180) = 21

Simplifying this equation will give us the value of a.

Please note that without specific numerical values or additional constraints, it is not possible to determine the exact values of a and b. However, by solving the equations as shown above, we can express the values of a and b in terms of each other.

(3x + 2) (2x - 5) = ax² + kx + n .
What is the value of a - n + k ?

Answers

(3x + 2) (2x - 5)=ax^2+kx+n \n \n =3x\cdot 2x - 3x\cdot 5 +2\cdot 2x - 2\cdot 5=\n \n=6x^2-15x+4x-10=\n \n=6x^2-11x-10\n \n a=6, \ n=-10 , \ k=-11 \n \na - n + k = 6-(-10)+(-11)=6+10-11= 5

How many hydrogen atoms are there in 5 molecules of CHCl3

Answers

Step-by-step explanation:

Each molecule has  ONE hydrogen atom

  so FIVE molecules would have FIVE hydrogen atoms