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lisabon 2012 [21]
3 years ago
13

Max bought a package of hamburger that weighs 5 1/3 pounds. He needs 1/3 of that amount for a recipe.

Mathematics
1 answer:
boyakko [2]3 years ago
5 0
1.5 pounds would be the answer,
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Help? I can't seem to understand arithmegic sequence.
katrin2010 [14]

A sequence \{a_n\} is arithmetic if the difference between consecutive terms is some fixed number, regardless of which pair of consecutive terms you pick out of the sequence.

For example, the following sequences are arithmetic:

1, 2, 3, 4, 5, 6, ... (difference = 1)

-25, -20, -15, -10, -5, ... (difference = 5)

2. Carla's sequence is not arithmetic, because the differences between consecutive terms are all different:

13 - 11 = 2

17 - 13 = 4

25 - 17 = 8

She can adjust the sequence by changing the last two numbers to 15 and 17, since this makes the difference fixed:

13 - 11 = 2

15 - 13 = 2

17 - 15 = 2

and so on.

3. The sequence

45, 48, 51, 54, ...

is arithmetic with difference 3 between terms. Recursively, we can write the nth term, a_n, in terms of the previous, (n-1)th term, a_{n-1}:

a_n=a_{n-1}+3

By this definition, we can just as easily write the (n-1)th term in terms of the (n-2)th term:

a_{n-1}=a_{n-2}+3

Then, substituting this into the previous equation, we have

a_n=(a_{n-2}+3)+3=a_{n-2}+2\cdot3

We can continue this process to write a_n in terms of a_1:

a_{n-2}=a_{n-3}+3\implies a_n=a_{n-3}+3\cdot3

a_{n-3}=a_{n-4}+3\implies a_n=a_{n-4}+4\cdot3

and so on. (You might notice that the subscript of the term on the right side, and the number of 3s being added, together sum to n.) The pattern continues down to

a_n=a_1+(n-1)\cdot3

The first term in this sequence is a_1=45, so we have

a. a_n=45+3(n-1)=42+3n

where n=1,2,3,\ldots.

b. You can fill in the blanks by just adding 3 to the previous term:

45, 48, 51, 54, <u>57</u>, 60, <u>63</u>, 66, 69, ...

Then, using the formula found in (a), the 15th term of the sequence is

a_{15}=42+3\cdot15=87

4 0
3 years ago
Jorge swam a total of 173 minutes during 3 days. He swam the same number of
qwelly [4]

Answer:

60

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
If f(x) = 6x2+2, then what is the slope of f(x) at x = 4?
lesya [120]
6(4)^2 + 2
= 6(16) + 2
= 96 + 2
= 98
4 0
3 years ago
Round 672,641 to the nearest ten thousand.
sattari [20]

Answer:

673,000 i think hope this helps have a nice day please give me brainliest if correct :))

Step-by-step explanation:

7 0
3 years ago
Mary’s dog weighs 32 pounds. The veterinarian says this breed of dog typically weighs about 13 kg. How many kilograms is Mary’s
Lana71 [14]
1kg is approximately 2,2 pounds
32÷2,2= 14,5kg
now you just need to subtract both numbers and you know how much she's above the typical weight.

14,5kg-13kg=1,5kg

so Mary's dog is 1 ,5kg above the typical weight
6 0
3 years ago
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