Answer:
5040,56
Step-by-step explanation:
We have to construct pass words of 4 digits
a) None of the digits can be repeated
We have total digits as 0 to 9.
4 digits can be selected form these 10 in 10P4 ways (since order matters in numbers)
No of passwords = 10P4
= 
b) start with 5 and end in even digit
Here we restrain the choices by putting conditions
I digit is compulsorily 5 and hence only one way
Last digit can be any one of 0,2,4,6,8 hence 5 ways
Once first and last selected remaining 2 digits can be selected from remaining 8 digits in 8P2 ways (order counts here)
=56
Answer:
The equation that represents the number of tickets that Josiah can buy with $45.50
3 + 8.50x = 45.50
The number of number of tickets that Josiah can buy with $45.50 is 5 ticketa
Step-by-step explanation:
Let the number of tickets be represented by x
Tickets are $8.50 plus he must play Fangalingo a $3 transaction fee for purchasing the tickets online.
The equation that represents the number of tickets that Josiah can buy with $45.50
$3 + $8.50 × x = $45.50
3 + 8.50x = 45.50
Solving further for x
3 + 8.50x = 45.50
8.50x = 45.50 - 3
8.50x = 42.50
x = 42.50/8.50
x = 5
Hence, the number of number of tickets that Josiah can buy with $45.50 is 5 ticketa
<span>In
4 weeks, it dropped 3 feet in total.
The unit rate of this is 3 feet / 4 weeks
If we simplify this into days, this will be the solutions
=> 4 weeks has (4 * 7) 28 days in total, so we need to divide 3 feet by 28
days to get the simplified unit rate.
=> 3 feet / 28 days
=> .107 feet / day.
So the water drops .107 feet per day and in 4 weeks the total of 3 feet.</span>
1. sqrt(98) = 7 sqrt(2)
2. sqrt(y^6) = y^3
3. sqrt(a^7) = a^7/2
4. sqrt(12x^3y^2) = 2xy sqrt(3x)
5. sqrt(36x^2y^4) = 6xy^2
6. sqrt(48ab^3) = 4b sqrt(3ab)
7. sqrt(10a^5b^2) = a^2b sqrt(10a)
8. sqrt(20x^3y^10 = 2xy^5 sqrt(5x)
Answer:
15 answers
Step-by-step explanation:
To solve this question we need to set up an equation.
Let's name the number of incorrect answers x.
<u>We can set up an equation that's essentially:</u>
(Points for correct answer)*(number of correct answers)+(points for incorrect answer)*(number of incorrect answers)=final score
When we plug in our numbers and variables it looks like this:
5(3)+(-2x)=-15
Simplify
15-2x=-15
Subtract 15 from both sides
-2x=-30
Divide both sides by -2
x=15
This means Smitha attempted 15 wrong answers, and that there were 18 questions in total.
