How do you solve this if you are solving for y<br><br> y=3xy-1

License plates are made using 3 letters followed by 2 digits. How many plates can be made if repetition of letters and digits is

Helga [31]

Answer:

$26^3\times10^2 = 1757600$

option B is correct

Step-by-step explanation:

We have 5 spaces in the license plate:

_ _ _ _ _

we have 26 available letters, and 10 available numbers.

starting with letters:

how many choices do i have to place the 1st letter? 26.

26 _ _ _ _

how many choices do i have to place the 2nd letter? 26 (since we're allowed to repeat letters)

26 26 _ _ _

how many choices do i have to place the 3rd letter? 26

26 26 26 _ _

we've used all the places for letters, (note: the exact position of the letters doesn't matter here, the first letter could've been placed anywhere in _ _ _ _ _, but the amount of possible choices for letters would always be 26).

let's move on to numbers.

how many choices do i have to place the 1st number? 10

26 26 26 10 _

how many choices do i have to place the 2nd number? 10

26 26 26 10 10

we've completed our number plate. Next we'll simply multiply all these numbers to get all the possible arrangements in which numbers and letters can be displayed on a license place.

$26^3\times10^2 = 1757600$

option B is correct

8 0

2 years ago

Alejandra's Tapas Bar offers a menu consisting of $9$ savory and $5$ sweet dishes. You can also get a mix-and-match plate consis

Mariana [72]

Answer:

45

Step-by-step explanation:

Given that the number of savory dishes is 9 and the number of sweet dished is 5.

Denoting all the 9 savory dishes by $p_1, p_2,...,p_9$ , and all the sweet dishes by $q_1,q_2,...,q_5$ .

The possible different mix-and-match plates consisting of two savory dishes are as follows:

There are 9 plates with $q_1$ from sweet plates which are $(q_1, p_1), (q_1, p_2), ..., (q_1,p_9).$

There are 9 plates with $q_2$ from sweet plates which are $(q_2, p_1), (q_2, p_2), ..., (q_2,p_9).$

Similarly, there are 9 plated for each $q_3, q_4$ and $q_5.$

Hence, the total number of the different mix-and-match plates consisting of two savory dishes

$= 9+9+9+9+9= 9\times5=45$

7 0

2 years ago

What is the answer to this equation 5×.4x=10

oksano4ka [1.4K]

The answer to this equation is x=5.

6 0

2 years ago

Read 2 more answers

Elena went to a store where you can scoop your own popcorn and buy as much as you want. She bought 10 ounces of spicy popcorn fo

kramer

Answer:

1 ounce costs 0.25$

Step-by-step explanation:

I have no idea what the question is as there is no question but that's the answer for what I think you wanted to know

6 0

2 years ago

Kurt and Maria's high school is having a newspaper drive.The goal is to collect 3,585 pounds of newspapers. So far, 21% of the g

Novay_Z [31]

Options:

Who is right, and why?

a. Neither Kurt nor Maria is right, because 3,500 should be used instead of 3,600.

b. Kurt is right, because finding 1/5 of 3,600 is not a good way to approximate 21% of 3,585.

c. Maria is right, because finding 10% of 3,600 and multiplying the result by 2 is not a good way to approximate 21% of 3,585.

d. Both Kurt and Maria are right, because 3,585 should be rounded up to 3,600, and 21% of this amount can be approximated by either finding 10% of 3,600 and multiplying the result by 2 or by finding 1/5 of 3,600.

Answer:

d. Both Kurt and Maria are right, because 3,585 should be rounded up to 3,600, and 21% of this amount can be approximated by either finding 10% of 3,600 and multiplying the result by 2 or by finding 1/5 of 3,600.

Step-by-step explanation:

Given

$Goal = 3585$