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tatiyna
3 years ago
14

Find the 59th term of the following arithmetic sequence. 15, 23, 31, 39

Mathematics
1 answer:
m_a_m_a [10]3 years ago
4 0

15~~,~~\stackrel{15+8}{23}~~,~~\stackrel{23+8}{31}~~,~~\stackrel{31+8}{39}~~,~~...~\hspace{10em}\stackrel{common~difference}{d=8} \\\\[-0.35em] ~\dotfill\\\\ n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\stackrel{\textit{term position}}{59}\\ a_1=\stackrel{\textit{first term}}{15}\\ d=\stackrel{\textit{common difference}}{8} \end{cases} \\\\\\ a_{59}=15+(59-1)8\implies a_{59}=15+472-8\implies a_{59}=479

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Anton [14]

We are required to find the total milligrams if medicine the hospital can get from the three companies.

The total quantity of medicine the hospital can get from the three companies is 2.75 milligrams

There are there companies:

Company A

Company B

Company C

Company A = 1.3 milligrams

Company A is 0.9 milligrams more than Company C's

A = 0.9 + C

1.3 = 0.9 + C

1.3 - 0.9 = C

0.4 = C

C = 0.4 milligrams

Company A is also twice the difference between the weight of

Company B's supply and Company C's

A = 2(B - C)

1.3 = 2(B - 0.4)

1.3 = 2B - 0.8

1.3 + 0.8 = 2B

2.1 = 2B

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B = 2.1/2

B = 1.05 milligrams

Therefore,

A + B + C

= 1.3 + 1.05 + 0.4

= 2.75 milligrams

Read more:

brainly.com/question/24562139

4 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=5x%20-%2010%20%5Cleqslant%2020" id="TexFormula1" title="5x - 10 \leqslant 20" alt="5x - 10 \le
OlgaM077 [116]
The answer is x = 6
Explanation:
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3 years ago
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Margaret [11]

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This computes directly what 105% of x will be.


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This takes x (which is 100%) and adds 5% of x to it.

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3 years ago
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Naddik [55]
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3 years ago
Find the missing number so that the equation has no solutions.<br> x - 18 = -3x - 8
Wewaii [24]

Answer: x = 5/2

Step-by-step explanation:

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