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2 years ago

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A store sells four 1 1/8-pound ears of corn in a package for $3.59. The expression 3.59p represents the cost of the corn for a n

umber of packages. What does the variable p represent? PLZZ HELPP
a. The number of ears of corn purchased

b. The cost of one package of corn

c. The number of packages of corn purchased

d. The cost of one ear of corn

2 answers:

Dominik [7]2 years ago

3 0

The answer would be c. the number of packages of corn purchased

ElenaW [278]2 years ago

3 0

Answer:

c. The number of packages of corn purchased.

Step-by-step explanation:

We have been given that a store sells four 1 1/8-pound ears of corn in a package for $3.59. The expression $3.59p$ represents the cost of the corn for a number of packages.

Since the cost of each package of corn is $3.59 and $3.59p$ represents the cost of 'p' packages of the corn. So 'p' represents the number of packages of corn purchased.

Upon looking at our given choices, we can see that option C is the correct choice.

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Determine formula of the nth term 2, 6, 12 20 30,42

nalin [4]

Check the forward differences of the sequence.

If $\{a_n\} = \{2,6,12,20,30,42,\ldots\}$ , then let $\{b_n\}$ be the sequence of first-order differences of $\{a_n\}$ . That is, for n ≥ 1,

$b_n = a_{n+1} - a_n$

so that $\{b_n\} = \{4, 6, 8, 10, 12, \ldots\}$ .

Let $\{c_n\}$ be the sequence of differences of $\{b_n\}$ ,

$c_n = b_{n+1} - b_n$

and we see that this is a constant sequence, $\{c_n\} = \{2, 2, 2, 2, \ldots\}$ . In other words, $\{b_n\}$ is an arithmetic sequence with common difference between terms of 2. That is,

$2 = b_{n+1} - b_n \implies b_{n+1} = b_n + 2$

and we can solve for $b_n$ in terms of $b_1=4$ :

$b_{n+1} = b_n + 2$

$b_{n+1} = (b_{n-1}+2) + 2 = b_{n-1} + 2\times2$

$b_{n+1} = (b_{n-2}+2) + 2\times2 = b_{n-2} + 3\times2$

and so on down to

$b_{n+1} = b_1 + 2n \implies b_{n+1} = 2n + 4 \implies b_n = 2(n-1)+4 = 2(n + 1)$

We solve for $a_n$ in the same way.

$2(n+1) = a_{n+1} - a_n \implies a_{n+1} = a_n + 2(n + 1)$

Then

$a_{n+1} = (a_{n-1} + 2n) + 2(n+1) \\ ~~~~~~~= a_{n-1} + 2 ((n+1) + n)$

$a_{n+1} = (a_{n-2} + 2(n-1)) + 2((n+1)+n) \\ ~~~~~~~ = a_{n-2} + 2 ((n+1) + n + (n-1))$

$a_{n+1} = (a_{n-3} + 2(n-2)) + 2((n+1)+n+(n-1)) \\ ~~~~~~~= a_{n-3} + 2 ((n+1) + n + (n-1) + (n-2))$

and so on down to

$a_{n+1} = a_1 + 2 \displaystyle \sum_{k=2}^{n+1} k = 2 + 2 \times \frac{n(n+3)}2$

$\implies a_{n+1} = n^2 + 3n + 2 \implies \boxed{a_n = n^2 + n}$

6 0

1 year ago

Does anyone know how to do this? And can you also help me with this problem, thank you :)

GenaCL600 [577]

<span>Multiply equation(2) with 4 so that coefficient of become same in both the equations(You can make coefficient of y same and can follow the following procedure.)
</span><span>* Subtract (3) from (1)
* </span>Divide both sides by -19
*Subtract 21 from both sides.
*Divide both sides by 4
so the solution is x= 3 and y= -7
Hope I helped you :)

6 0

3 years ago

An animal shelter wants their ratio of dogs to cats to be 3:2. If the animal shelter has 78 dogs, how many cats should they have

OleMash [197]

The simplest way to do this is to set up equivalent fractions. So, you'd do:

$\frac{3}{2}$ = $\frac{78}{x}$ and then solve for x.

x=52

4 0

3 years ago

How do you write 982% as a fraction, mixed number, or whole number in simplest form?

koban [17]

I think one of the answers would be 9.82

8 0

3 years ago

Read 2 more answers

Please help me:

Tasya [4]

Answer:

6 units

Step-by-step explanation:

This coordinate is a three dimensional coordinate, which involves positive and negative x,y, and z axis.

The y axis is from left to right, i.e from negative to positive.

So 6 unit left is = -6 but it explains moving left .

Thank you

3 0

2 years ago