The first digit of the password can be any of the ten digits - 10 possibilities.
A digit cannot be repeated, so the second digit can be any digit except the one you chose for the first digit - 9 possibilities.
The third digit can be any digit except the digits you chose for the first and second digit - 8 possibilities.
Using the rule of product:
There are 720 passwords.
Answer: (3x + 4y)(3x + 4y)
Step-by-step explanation: So you are supposed to "unfoil". So you would find two numbers multiplied together to make 9x^2 which would be 3x. Then you would find two numbers that can be multiplied together to get 16y^2 which would be 4y. To check your work, you do 3x times 3x. Then 4y times 4y. Then 4y times 3x plus 3x times 4y. You get 9x^2 + 24xy plus 16y^2.
Answer:
The money he can save by buying them at Big 5 is $76.80.
Step-by-step explanation:
Given:
Footballs sell for $27.99 each at Sporting Goods.
Footballs sell for $21.59 each at Big 5.
The coach buys a dozen footballs.
Now, to find the amount he save by buying them at Big 5.
So, first we find the cost of footballs at Sporting Goods and at Big 5.
1 Dozen = 12 pieces.
Thus, the cost of footballs at Sporting Goods =
And, the cost of footballs at Big 5 =
Now, to get the amount coach can save by buying them at Big 5, we subtract both the cost as the cost of Sporting Goods is more than the Cost of Big 5:
The amount coach can save by buying them at Big 5 =
Therefore, the amount he can save by buying them at Big 5 is $76.80.
Answer:
The result is 19
Step-by-step explanation:
Step 1: Parenthesizing (5-2)=3
Step 2: Exponentiation 
Step 3: Multiplication and division 3x4=12 and 6/3=2
Step 4: Addition and subtraction 9+12=21, and 21-2=19
21-2
19
The operations are ordered from highest to lowest in the order:
1. Parenthesizing,
2. Factorial,
3. Exponentiation,
4. Multiplication and division,
5. Addition and subtraction.
Hope this helps!
Answer:
lines a and b are parallel. The slopes are -1/3
None of the lines are perpendicular to each other.
Step-by-step explanation:
To figure out if any of the lines are parallel or perpendicular to each other, you have to find the slopes of each line. To find the slope look at the graph find the rise over run for all of the lines:
line a: This line goes down one every time it goes over 3, which can be represented by -1/3
line b: This lines goes down one every time it goes over 3, which can also be written as -1/3
line c: This line goes up 5 every time it goes over 2, which makes the slope 5/2
When two lines are parallel, they have the same slope. Line a and line b have the same slope, so they are parallel.
When two lines are perpendicular, their slopes are negative reciprocals of each other. Since none of the slopes are a negative reciprocal of another slope, we have no perpendicular lines.
Hope this helps :)
