Answer:
Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.
Step-by-step explanation:
Remember that:
- Two lines are parallel if their slopes are equivalent.
- Two lines are perpendicular if their slopes are negative reciprocals of each other.
- And two lines are neither if neither of the two cases above apply.
So, let's find the slope of each equation.
The first basketball is modeled by:

We can convert this into slope-intercept form. Subtract 3<em>x</em> from both sides:

And divide both sides by four:

So, the slope of the first basketball is -3/4.
The second basketball is modeled by:

Again, let's convert this into slope-intercept form. Add 6<em>x</em> to both sides:

And divide both sides by negative eight:

So, the slope of the second basketball is also -3/4.
Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.
Answer:
22 cookies
Step-by-step explanation:
A dozen items means 12 number of items.
Number of cookies brought by Sherry = No. of containers multiplied by number of cookies in one container
= 2
6 = 12
Number of cookies brought by Sally = A dozen cookies = 12
Number of cookies brought by Sandy = 2
Number of cookies brought by Sherry, Sally and Sandy together = 12 + 12+2 = 26
Total number of cookies to be brought = 4 dozen = 48 cookies
Number of cookies to be brought by Harry = Total number of cookies to be brought - Number of cookies brought by Sherry, Sally and Sandy together
48 - 26 = <em>22 cookies</em>
Answer:
$2.05
Step-by-step explanation:
$8/4 notebooks= $2
.20/4=.05
________________
$2.05
When finding the percent difference between two numbers, there are two ways you can do this.
1. The first way is how to calculate the percentage INCREASE of two numbers:
-The formula is Increase / Original Number × 100 = % increase
Step 1: Find out the difference between the two numbers you're comparing. New number - Original number = Increase.
Step 2: Divide the increase by the original number and then multiply your answer by 100. (If your answer is a negative number, then it is a percent decrease, not a percent increase.)
2. The second way is how to calculate the percentage DECREASE of two numbers:
Step 1: Find out the difference between the two numbers you're comparing. Original number - New number = Decrease.
Step 2: Divide the decrease by the original number and then multiply your answer by 100. Decrease ÷ Original Number × 100
= % Decrease. (If your answer is a negative number, then is is a percent increase, not a percent decrease.)