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gulaghasi [49]
3 years ago
6

What is the 100th term of the arithmetic sequence below? 4, 11, 18, 25

Mathematics
1 answer:
galina1969 [7]3 years ago
8 0

Answer:

a₁₀₀ = 697

Step-by-step explanation:

The nth term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 4 and d = a₂ - a₁ = 11 - 4 = 7 , then

a₁₀₀ = 4 + (99 × 7) = 4 + 693 = 697

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Miguel collected aluminum cans for recycling. He collected a total of 150 cans. If 58% of the cans he collected were soda cans h
Romashka-Z-Leto [24]

Given:

• Total number of cans collected = 150

,

• Percent of cans that were soda = 58%

Let's find the number of other cans he collected.

To find the number of other cans, since the percent of soda is 58%, let's find the pecent of other cans.

Percent of other cans = 100% - 58% = 42%

The percent of other cans collected was 42%.

Now, to find the number of other cans collected, let's find 42% of the total number of cans collected 150.

We have:

42\text{ \% }\ast150\Longrightarrow0.42\times150=63

Therefore, the number of other cans collected is 63 cans.

ANSWER:

63 cans

4 0
1 year ago
In the given triangle ABC, find DE. answers: 20 5 10 2.5
adell [148]

Answer:

5

Step-by-step explanation:

Let's call the length AD y.

\dfrac{x+2}{y}=\dfrac{8x-14}{2y} \\\\\\2(x+2)=8x-14 \\\\\\2x+4=8x-14 \\\\\\4=6x-14 \\\\\\6x=18 \\\\\\x=3 \\\\\\DE=x+2=3+2=5

Hope this helps!

5 0
3 years ago
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vredina [299]

Answer:

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Step-by-step explanation:

7 0
3 years ago
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a pyramid with a square base that is 9 cm on a side has a height of 10 cm the volume of the pyramid is
Zanzabum

\bf \textit{volume of a pyramid}\\\\
V=\cfrac{1}{3}Bh~~
\begin{cases}
B=area~of\\
\qquad its~base\\
h=height\\[-0.5em]
\hrulefill\\
B=\stackrel{9\times 9}{81}\\
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4 0
3 years ago
Jeffery and carrie deposit 800.00 into an savings account which earns 4%interest compounded quarterly they want to use the money
tekilochka [14]

Answer:

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Step-by-step explanation:

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<u>Number of compounds:</u>

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<u>Saving amount at the end of 2 years:</u>

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3 0
3 years ago
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