Answer:
319 pages and a half
Step-by-step explanation:
Answer:
12x + 4z
Step-by-step explanation:
Given: 2/3 (18x + 6z)
Multiply the fraction 2/3 into each term
()*18x + ()*6z
x + z
12x + 4z
Which of the following correctly shows the steps to solve this equation?
Step 1: 6x − 10 = 1; Step 2: 6x = 11
Step 1: 6x − 5 = 1; Step 2: 6x = 6
Step 1: 5x − 3 = 1; Step 2: 5x = 4
Step 1: 5x − 7 = 1; Step 2: 5x = 8
The option that shows the steps to solve the given equation is A) and this can be determined by using the arithmetic operations.
Given :
Linear Equation -- 2(3x − 5) = 1
The following steps can be used in order to evaluate the given linear equation:
Step 1 - The arithmetic operations can be used in order to evaluate the given linear equation.
Step 2 - Write the given linear equation.
2(3x − 5) = 1
Step 3 - Multiply 2 by (3x - 5) in the above equation.
6x - 10 = 1
Step 4 - Add 10 on both sides in the above expression.
6x - 10 + 10 = 1 + 10
6x = 11
Step 5 - Divide both sides by 6 in the above equation.
x = 11/6
From the above steps, it can be concluded that the correct option is A).
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Answer:
Step-by-step explanation:
To draw the plan of the class foundation using a scale of 5m to 4cm, you'll need to create a scaled-down representation of the room, including the door and windows. Here are the steps to draw the plan:
1. Determine the size of your drawing area. Since the scale is 5m to 4cm, you need to calculate the dimensions of your drawing area.
Length of the class: 20m
Breadth of the class: 10m
Using the scale, for every 5 meters in reality, you will represent it as 4 centimeters in your drawing. So, you'll need a drawing area that can accommodate these dimensions, and the scale conversion.
Length of drawing area = (20m / 5m) * 4cm = 16cm
Breadth of drawing area = (10m / 5m) * 4cm = 8cm
Therefore, your drawing area should be approximately 16cm by 8cm.
2. Draw the outline of the class: Using a ruler and a pencil, draw a rectangle with dimensions 16cm by 8cm to represent the classroom. This rectangle represents the foundation of the class.
3. Draw the door: The door is 8 meters long and 4 meters wide. Using your scale, you'll represent it as 4cm by 2cm in your drawing. Draw a rectangle within the classroom rectangle to represent the door. The top edge of the door should align with one of the longer sides of the classroom.
4. Draw the windows: The windows are 5 meters long and 3 meters wide. Using your scale, you'll represent each window as 4cm by 2.4cm in your drawing. Place the windows where they would be on the classroom walls, leaving space between them and the door.
5. Label the drawing: You can label the door and windows to indicate their dimensions if needed.
b)1
c)-5
d)-10
The solution is Option A.
The value of x in the equation 4x - 5 = -6x + 15 is x = 2
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be = A
Now , the value of equation A is
4x - 5 = -6x + 15 be equation (1)
Now , on simplifying the equation , we get
4x - 5 = -6x + 15
Adding 6x on both sides of the equation ,we get
10x - 5 = 15
Adding 5 on both sides of the equation , we get
10x = 20
Divide by 2 on both sides of the equation, we get
x = 20/10
x = 2
Therefore , the value of x is 2
Hence , The value of x in the equation 4x - 5 = -6x + 15 is x = 2
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