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Serhud [2]
2 years ago
8

Which expression is equivalent to 15 + 3x

Mathematics
1 answer:
alexgriva [62]2 years ago
6 0

Answer:

A. 3(5+x)

Step-by-step explanation:

if you multiply both 5 and x by 3(outside the parentheses), 3•5 is 15, and 3•x is 3x

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The squirrel could store 48 nuts in a hiding place. If there were 768 nuts to hide, how
Dmitrij [34]

Answer:

16 hiding places

Step-by-step explanation:

768/48

=16

nuts hided/storing the nuts

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3 years ago
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Please help, this is due soon :[
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Answer:

7,8,9,10

Step-by-step explanation:

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3 years ago
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Mitch is replacing all the light bulbs in his home with energy efficient LED light bulbs. How many packages of 4 will he need to
lapo4ka [179]
C) 22

86/4 = 21.5
*5 Or more, raise the score*
(rounds to 22)
you should have 2 lightbulbs left over but you would be 2 lightbulbs short if you were to get 21 packages as opposed to 22
6 0
3 years ago
Let P(n) be the statement that n! < nn where n is an integer greater than 1.
Ira Lisetskai [31]

Answer: See the step by step explanation.

Step-by-step explanation:

a) First, Let P(n) be the statement that n! < n^n

where n ≥ 2 is an integer (This is because we want the statement of P(2).

In this case the statement would be (n = 2): P(2) = 2! < 2^2

b) Now to prove this, let's complet the basis step:

We know that 2! = 2 * 1 = 2

and 2^2 = 2 * 2 = 4

Therefore: 2 < 4

c)  For this part, we'll say that the inductive hypothesis would be assuming that k! < k^k for some k ≥ 1

d) In this part, the only thing we need to know or prove is to show that P(k+1) is also true, given the inductive hypothesis in part c.

e) To prove that P(k+1) is true, let's solve the inductive hypothesis of k! < k^k:

(k + 1)! = (k + 1)k!  

(k + 1)k!  < (k + 1)^k  < (k + 1)(k + 1)^k

Since k < k+1 we have:

= (k + 1)^k+1

f) Finally, as the base and inductive steps are completed, the inequality is true for any integer for any n ≥ 1. If we had shown P(4)

as our basis step, then the inequality would only be proven for n ≥ 4.

6 0
2 years ago
After a weekend at the beach, Lisa has $274 less than she had when she left. The equation that represents this situation is e=s−
Anon25 [30]
Well that's easy it basically tells you all you gotta do is plug in the numbers 

"E" is what you're trying to find out so you don't know that one it stays the same. 

"S" is the amount of money she started with and it says she started with $500 

And then she has $274 less than she started with. 

E = 500 - 274 

E= 226

She is left with $226 after her weekend at the beach. 

~Hope it helped~ 



6 0
2 years ago
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