Answer:
37.5 miles
Step-by-step explanation:
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:
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:
which can NEVER be true.
So, the given equation has NO solution.
Thus, there is NO value of 'x' in the given equation.
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
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.
What is the value of a - n + k ?
Step-by-step explanation:
Each molecule has ONE hydrogen atom
so FIVE molecules would have FIVE hydrogen atoms