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Zielflug [23.3K]
3 years ago
5

20. Write an equation in slope-intercept form for the line that has a slope

Mathematics
1 answer:
lukranit [14]3 years ago
3 0

Answer:

y = 2/3x -5

Step-by-step explanation:

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How many different 5​-letter radio station call letters can be made a. if the first letter must be Upper C comma Upper X comma U
Lady_Fox [76]

Answer:

a) 1,518,000

b) 2,284,880

c) 60,720

Step-by-step explanation:

a) a. if the first letter must be Upper C comma Upper X comma Upper T comma or Upper M and no letter may be​ repeated?

We draw 5 boxes, and based on that we will see the total possible cases. There are 26 alphabets

The first box should have C or X or T or M .No letter may be repeated.

Any                    Any             Any                 Any                    Any

5 alphabets    of the            of the              of the                 of the

C,X , T , M      remaining     remaining       remaining          remaining

                   25 alphabets   24 alphabets   23 alphabets   22 alphabets

Therefore; total possible call letters = 5 × 25 × 24 × 23 × 22 = 1,518,000

b)

The first box should have C or X or T or M Repeats as allowed

Any                    Any             Any                 Any                    Any

5 alphabets    of the            of the              of the                 of the

C,X , T , M      remaining     remaining       remaining          remaining

                   26 alphabets   26 alphabets   26 alphabets   26 alphabets

Therefore Total possible call letters = 5 × 26 × 26 × 26 × 26 = 2,284,880

c)   The first box should have   C,X , T , M  and end with S

So the last place if fixed, and we now have 25 alphabets. The first box can go in 5 ways. The next box then will have only 24 letters to choose from, as the first box has taken a letter and the last box already has S in it. Repetition not allowed

Any                    Any             Any                 Any                       S

5 alphabets    of the            of the              of the                  is fixed

C,X , T , M      remaining     remaining       remaining           here

                   24 alphabets   23 alphabets   22 alphabets  

Therefore Total possible call letters = 5 × 24 × 23 × 22  × 1 =  60,720

3 0
3 years ago
A car travels 80 miles on 5 gallons of gas. How many gallons of gas
dalvyx [7]

Answer:

7 gallons

Step-by-step explanation:

Step 1:

80 : 5 = 112 : x

Step 2:

80x = 560

Answer:

x = 7

Hope This Helps :)

5 0
3 years ago
Does this graph show a function? Explain how you know.
Bess [88]

Answer:

a. no the graph fails the vertical line test

4 0
3 years ago
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(c + 3) - 2c - (1 - 3c) = 2 what is this answer to this problem?
Eddi Din [679]
(c+3)-2c-(1-3c)=2
c+3-2c-1+3c=2
2c+2=2
2c=0
c=0
6 0
3 years ago
Helpie plzzzzzzzzzzzz my teacher really hate me ig
Lyrx [107]

Answer:

-8x-6 or -8x+-6.

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
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