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Eduardwww [97]
2 years ago
8

Find the 51st term of the arithmetic sequence 29, 9, -11,...

Mathematics
1 answer:
mina [271]2 years ago
5 0

Answer:

Step-by-step explanation:

arithmetic sequences can be written as

a_n = a_1 + (n-1)d

29 = a_1 + (1-1)d\\29 = a_1\\9 = 29 + (2-1)d\\9 = 29 + d\\d = -20\\a_n = 29 -20 (n-1)\\a_n = 29 - 20n+20\\a_n = -20n + 49\\\\a_51 = -20(51)  + 49 = -951

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Would i solve this doing 14+5 or 14-5 to get the missing length?
nataly862011 [7]

Answer:

The answer to your question is 10 ft

Step-by-step explanation:

We can observe that all the sides have a length but the first to the left.

Also, we know the corners meet at right triangles, so to calculate the length of the missing side, we must add to sides.

But these sides must be the ones that are in front of it (6 ft and 4 ft)

Then    ? = 6 + 4

               10 ft

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2 years ago
A car travels 80 miles on 5 gallons of gas. How many gallons of gas
dalvyx [7]

Answer:

7 gallons

Step-by-step explanation:

Step 1:

80 : 5 = 112 : x

Step 2:

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Answer:

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Hope This Helps :)

5 0
3 years ago
There are 8 dinner rolls in a package.
masha68 [24]

Answer: 25 packages

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5 0
3 years ago
Read 2 more answers
What is the solution to this system of equations?<br><br><br>4x + 5y = 7<br><br><br>3x – 2y = –12
oksano4ka [1.4K]

Answer:

x = -2 and y = 3

Step-by-step explanation:

It is given that,

4x + 5y = 7    -----(1)

3x – 2y = –12   ----(2)

<u>To find the value of x and y</u>

eq(1) * 3 ⇒

12x + 15y = 21   ----(3)

eq(2) * 4 ⇒

12x - 8y = -48  ---(4)

eq(3) - eq(4) ⇒

12x + 15y = 21   ----(3)

<u>12x - 8y = -48 </u> ---(4)

 0 + 23y = 69

y = 69/23 = 3

Substitute the value of y in eq(1)

4x + 5y = 7    ----(1)

4x + 5*3 = 7

4x = 7 - 15 = -8

x = -8/4 = -2

Therefore x = -2 and y = 3

5 0
2 years ago
Kevin is observing the population of the fish he put into a pond. He built a pond and populated it with 500 fish. The population
LuckyWell [14K]
Given that the number of years should be represented with x, the number of fish in the pond after x years should best be represented with f(x). The equation that would best show the given scenario in the problem above is,
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From the given, 500 is used as the initial population of the fish. 
4 0
3 years ago
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