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3 years ago

Find the common difference of the arithmetic sequence 4,10,16

1 answer:

8 0

common difference (d) of an arithmetic sequence is equal to the the difference of two consecutive terms of the sequence,

so,

=》

$d = 10 - 4$

=》

$d = 6$

hence, the common difference of given AP is 6

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A maple syrup producer has a booth at a Sunday farmer's market. The producer sells organic maple syrup by the pint. To get custo

Neporo4naja [7]

Answer:

See Explanation

Step-by-step explanation:

Given

$Price = 29.50 + 13.50(p - 2)$

The question has missing details. However, I will solve on a general term.

A possible question could be to find the cost of purchasing (say 10 bottles).

To do this, we simply substitute 10 for p.

So:

$Price = 29.50 + 13.50(p - 2)$

$Price = 29.50 + 13.50(10 - 2)$

$Price = 29.50 + 13.50 * 8$

$Price = 29.50 + 108$

$Price = 137.50$

i.e. $137.50 for 10 pint bottles

Another possible question is to calculate the number of pint bottles that amount to (say $70).

To do this, we simply substitute 70 for Price.

So:

$Price = 29.50 + 13.50(p - 2)$

$70 = 29.50 + 13.50(p - 2)$

Collect like terms

$70 - 29.50 = 13.50(p - 2)$

$40.5= 13.50(p - 2)$

Divide both sides by 13.50

$3= p - 2$

Add 2 to both sides

$3 + 2 = p - 2 + 2$

$5 = p$

$p = 5$

i.e. $70 will buy 5 pint bottles

Use this explanation to find solution to your question

6 0

3 years ago

Hannah is at the supermarket to buy carrots and potatoes. If she buys 2 pounds of carrots and 3 pounds of potatoes, it will cost

zhenek [66]

Answer:

Carrots cost $ 1.75 a pound which is more than potatoes cost.

Step-by-step explanation:

Let,

Carrots cost $ x per pound and potatoes cost $ y per pound.

Buying 2 pounds of carrots and 3 pounds of potatoes will cost her

$ $(2\times x + 3\times y)$

and

Buying 4 pounds of carrots and 4 pounds of potatoes will cost her

$ $(4\times x + 4\times y)$

According to the question,

$(2\times x + 3\times y) = 8$ -----(1)

$(4\times x + 4\times y) = 13$ -----(2)

multiplying (1) by 2 we get,

$(4\times x + 6\times y) = 16$ -----(3)

Deducting (2) from (3) we get,

$2\times y = 3$

⇒ $y = \frac{3}{2} = 1.5$ ------------------(4)

Putting value of y in (1) we get,

$(2\times x = 8 - 3\times 1.5) = 3.5$

⇒ $x =\frac{3.5}{2} = 1.75$ ------------(5)

8 0

4 years ago

For any real number c, sqrt c^2 = A. I B. ? C. c D. 1

SVEN [57.7K]

Answer:

option A. |c| is the answer.

because sqrt of any number is always positive. that's why we add the modulas symbol around the interger.

7 0

2 years ago

Graph the linear equation y= 1/2x

Nat2105 [25]

Answer:

Some points on the graph are (0,0), (2,1), (-2,-1), and (4,2)

5 0

3 years ago

Which of the below descriptions shows a possible HAMILTON PATH?

tatiyna

Answer:

none of the above

Step-by-step explanation:

A Hamilton path is one that visits each node exactly once. In a graph with 6 nodes, the path length must be exactly 6.

Only one answer choice is of length 6: ADEFBC. However, it includes travel from F to B, which path does not exist in the graph shown. Hence the only viable choice is not an answer.

_____

Some possibilities include ...

DECBAF

DABCEF

3 0

3 years ago