the total cost. The total cost for 35 brochures is $41.45. The total cost for 65 brochures is $55.55.
Step 1: Write the ordered pairs (35, 41.45) and (65, 55.55).
Step 2: Find the slope. m = StartFraction 55.55 minus 41.45 Over 65 minus 35 EndFraction = 0.47
Step 3: Find the y-intercept to write the equation in slope intercept form. y minus 55.55 = 0.47 (x minus 35). Y minus 55.55 = 0.47 x minus 16.45. y = 0.47 x + 39.1.
Which explains the error that Lila made?
Lila made in error in Step 1 by reversing the ordered pairs.
Lila made an error in Step 2 by not using the slope formula.
Lila made an error in Step 3 when she did not use the x- and y-coordinates from the same ordered pair.
Lila made an error in Step 3 when she did not use the distributive property correctly when multiplying.
There is no explanation that Lila made an error. This question seems to be asking for an explanation of the steps taken, not for identifying errors.
tell me the awnser your supposed to be smart dude
Based on the given information and steps provided, there is no indication that Lila made any errors. Therefore, the correct answer is that Lila did not make any errors.
incorrect
I apologize for the confusion. Based on the information given, the error that Lila made is that she reversed the ordered pairs in Step 1. The correct ordered pairs should be (35, 41.45) and (65, 55.55), which will result in a positive slope.
The graph shows the amount of water that remains in a barrel after it begins to leak. The variable x represents the number of days that have passed since the barrel was filled, and y represents the number of gallons of water that remain in the barrel.
A graph titled Water Supply with number of days on the x-axis and gallons of water left on the y-axis. A line goes through points (6, 33) and (15, 15).
What is the slope of the line?
–2
Negative one-half
StartFraction 7 Over 16 EndFraction
StartFraction 39 Over 30 EndFraction
Using the formula for slope, which is rise over run, we can calculate the slope of the line using the two points provided.
Rise = change in y = 15 - 33 = -18
Run = change in x = 15 - 6 = 9
Slope = rise/run = -18/9 = -2
Therefore, the slope of the line is -2. Answer: -2.
What is the equation of the linear function represented by the table?
x
y
–5
14
–2
11
1
8
4
5
y = negative x + 9
y = negative x + 13
y = x + 13
y = x + 9
We can use the provided points to find the slope and y-intercept of the equation in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
To find the slope, we can use any two points. Let's use the first and last points:
Slope = (5 - 14)/(4 - (-5)) = -9/9 = -1
To find the y-intercept, we can substitute one of the points and the slope into the slope-intercept form and solve for b:
8 = (-1)(1) + b
b = 9
Therefore, the equation of the linear function represented by the table is:
y = -x + 9
The correct answer is y = negative x + 9.
Identify the correct property of equality to solve each equation.
3 + x = 27
x
6
= 5
To solve the equation 3 + x = 27 to find the value of x, we can use the property of equality known as subtraction property of equality:
3 + x = 27
Subtract 3 from both sides:
3 + x - 3 = 27 - 3
x = 24
Therefore, the value of x is 24.
To solve the equation x/6 = 5 to find the value of x, we can use the property of equality known as multiplication property of equality:
x/6 = 5
Multiply both sides by 6:
(x/6) * 6 = 5 * 6
x = 30
Therefore, the value of x is 30.
The correct property of equality used to solve the first equation is subtraction property of equality, and the correct property of equality used to solve the second equation is multiplication property of equality.
Use a property of equality to solve this equation:
4.5x = 18
We can use the property of equality known as division property of equality to solve this equation.
4.5x = 18
Divide both sides by 4.5:
(4.5x)/4.5 = 18/4.5
x = 4
Therefore, the value of x is 4.
The solution is x = 4.
Mr. Williamson bought 4 boxes of chewy granola bars and 5 boxes of crunchy granola bars. Each box contained the same number of granola bars. He took all 72 granola bars to the class picnic. How many granola bars were in each box?
Let x represent the number of granola bars in each box.
Step 1: Write an equation.
Step 2: Identify and combine like terms.
Step 3: Use the properties of equality and inverse operations to solve the equation.
Step 1: Write an equation.
The total number of granola bars is the sum of the number of granola bars in the chewy and crunchy boxes. Since each box contains the same number of granola bars, let's call the number of granola bars in each box x.
Total number of granola bars = 4x + 5x
Total number of granola bars = 9x
We also know that the total number of granola bars is 72.
9x = 72
Step 2: Identify and combine like terms.
In this equation, there is only one term, which is 9x.
Step 3: Use the properties of equality and inverse operations to solve the equation.
To solve for x, we need to isolate the variable by dividing both sides of the equation by 9:
9x/9 = 72/9
x = 8
Therefore, there were 8 granola bars in each box.
Each box contained 8 granola bars.
Follow the steps to solve this equation:
−2x + 6x − 8 = 12
Step 1: Combine like items.
Step 2: Undo the subtraction.
Step 3: Undo the multiplication.
4x − 8 = 12
4x − 8 + 8 = 12 + 8
4x = 20
4
4
x =
20
4
x =
Step 1: Combine like items.
-2x + 6x - 8 = 12 can be simplified as 4x - 8 = 12 by adding the like terms -2x and 6x.
Step 2: Undo the subtraction.
Adding 8 to both sides, we get:
4x - 8 + 8 = 12 + 8
4x = 20
Step 3: Undo the multiplication.
Since 4x means 4 times x, we can undo the multiplication by dividing both sides by 4:
4x/4 = 20/4
x = 5
Therefore, the solution to the equation -2x + 6x - 8 = 12 is x = 5.
Which would be used to solve this equation? Check all that apply.
mr001-1.jpgmr001-2.jpgStartFraction p Over 3 EndFraction = 12mr001-4.jpg
To solve the equation (p/3) = 12, we can use the following property of equality and an inverse operation:
- Multiplication Property of Equality
- Division Property of Equality
We can apply the multiplication property of equality by multiplying both sides of the equation by 3 to isolate p:
(p/3) = 12
(p/3) * 3 = 12 * 3
p = 36
Therefore, the value of p is 36.
So, the correct options are:
- Multiplication Property of Equality
- Division Property of Equality