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3 years ago

5

The store had 520 customers this week and 780 customers last week. What is the percent of change for the 2 weeks and was it an i

ncrease or a decrease?

1 answer:

mr_godi [17]3 years ago

8 0

It’s a 33.3333% decrease in customers

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Problem 3.2.14a<br><br> Show that 2^2x+1 +1 is divisible by 3.

elena-s [515]

Answer:

The given expression is divisible by 3 for all natural values of x.

Step-by-step explanation:

The given expression is

$2^{2x+1}+1$

For x=1,

$2^{2(1)+1}+1=2^{3}+18+1=9$

9 is divisible by 3. So, the given statement is true for x=1.

Assumed that the given statement is true for n=k.

$2^{2k+1}+1$

This expression is divisible by 3. So,

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

For x=k+1

$2^{2(k+1)+1}+1$

$2^{2k+2+1}+1$

$2^{(2k+1)+2}+1$

$2^{2k+1}2^2+1$

Using equation (1), we get

$(3n-1)2^2+1$

$(3n)2^2-2^2+1$

$(3n)2^2-4+1$

$(3n)4-3$

$3(4n-1)$

This expression is also divisible by 3.

Therefore the given expression is divisible by 3 for all natural values of x.

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3 years ago

The difference between seven times a number and eight more than four times the number

Nookie1986 [14]

A difference is the result of a subtraction.

Call the number n.

"seven times a number": 7n

"eight more than four times the number": 4n + 8

"The difference between seven times a number and eight more than four times the number": 7n - (4n + 8)

Answer: 7n - (4n + 8)

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Answer: 125/168

Explanation

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2. Multiple Choice. Gary says, “I chose a number. I multiplied it by 5 and then

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Answer:

The answer would be B

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A bag contains green tokens and black tokens. There are 24 green tokens in the bag. The ratio of green tokens to black tokens is

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3 years ago