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ser-zykov [4K]
2 years ago
7

Casey has n nickels. Megan has 4 times as many nickels as Casey has. Write and expression for the total number of nickels Casey

and Megan have. Then simplify the expression.
Mathematics
1 answer:
AnnyKZ [126]2 years ago
6 0

Step-by-step explanation:

Let n be the number of nickels that Casey has.

We are told that Megan has 4 times as many nickels as Casey has, therefore, the number of nickels that Megan has will be 4*n.

Now we will add the amounts of nickels that Casey and Megan have to find the total amount of nickels.

\text{Total number of nickels Casey and Megan have}=n+4*n

Therefore, the expression n+4*n will represent the total number of nickels that Casey and Megan have .

Upon combining like terms we will get,

\text{Total number of nickels Casey and Megan have}=(1+4)n

\text{Total number of nickels Casey and Megan have}=5n

Therefore, Casey and Megan have 5n nickels.

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MA_775_DIABLO [31]

Answer:

x^6/27y^12

hope this helps.

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3 years ago
Last year,Landon School had $127,657 available for scholarships. This year, the school has $141,509 available. About how much mo
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141509 - 127657 = 13852
Answer = $13,852
3 0
3 years ago
Can somebody help me <br> -2(x+5)
Anika [276]

Answer: -2x - 10

Steps: -2(x+5)

Apply the distributive law [ a(b + c) = ab + ac ]:

a = -2,  b = x,  c = 5

-2x + (-2) × 5

Apply minus/plus rules: -2x - 2 × 5

Multiply the numbers: 2 × 5 = 10

-2x - 10

Plz mark brainliest:)

5 0
2 years ago
PLEASE ANSWER FAST!! THANK YOU :)
Makovka662 [10]

Answer:

option 1 both statements are true

Step-by-step explanation:

Prove by PMI -- Principle of Mathematical  Induction

1) n³ + 2n

n= 1 , 1³ +2*1 = 1+2 = 3 = 3*1   ---->divisible by 3

n = 2 ; 2³ + 2*2 = 8+4 = 12  = 3*4  ----> is divisible by 3

Assume that It is valid for n = k ;  

k^{3}+2k = 3*m -----(I) , for all m ∈ N

We have to prove for n =k +1 , the statement is true.

n = k+1, (k+1)^{3}+2(k +1) =k^{3}+3k^{2}+3k +1 +2k +2

                                           = k³ + 3k² + 3k + 3 + 2k

                                           =  k³ +  2k + 3k² + 3k + 3

                                           = 3m + 3 (k² + k + 1)

                                          = 3(3 + [k² + k + 1] ) is divisible by 3

Therefore, this statement is true

2) 5^{2n}-1\\

n=1 ; 5^{2}-1 = 25 -1 = 24 divisible by 24\\\\n = 2 ; 5^{2*2}-1 = 5^{4}-1 = 625 - 1 = 624 divisible by 24

This statement is also true

3 0
2 years ago
8x-5/6x<br> Find all real numbers for which the rational expression is undefined
REY [17]

9514 1404 393

Answer:

  • as written: none
  • perhaps intended: 0

Step-by-step explanation:

The expression written here is interpreted according to the Order of Operations as ...

  8x -(5/6)x

This reduces to (7 1/6)x, which is defined for all real numbers.

__

Maybe you intended the expression ...

  (8x -5)/(6x)

This expression is undefined where its denominator is zero, at x = 0.

5 0
2 years ago
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