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kramer
2 years ago
13

In an arithmetic sequence, the seventh term is −9 and the nineteenth term is 39.

Mathematics
1 answer:
fomenos2 years ago
6 0

Answer:

d = 4

Step-by-step explanation:

a7 = -9

a19 = 39

We know the formula for an arithmetic sequence is

an = a1+d(n-1)

Using the givens:

a7 = -9 = a1 +d(7-1)

a19 = 39 =a1 +d(19-1)

Subtracting these equations

-9 = a1 +d(6)

39 =a1 +d(18)

------------------------

-48 = 0 -12 d

Divide by -12

4 =d

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Mandy is selling pancakes and waffles at her diner. On Monday she sold a total of 300 pancakes and waffles. If she charges $3 pe
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Answer:

Mandy sold 250 pancakes and 50 waffles.

Step-by-step explanation:

From the information given, you can say that the sum of pancakes and waffles is equal to 300:

x+y=300

Also, the statement indicates that she charges $3 per pancake, $1 per waffle, and made a total of $800 and you can express this as:

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You have the following equations:

x+y=300 (1)

3x+y=800 (2), where:

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x=300-y (3)

Then, you can replace (3) in (2):

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