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Zolol [24]
3 years ago
6

.

Mathematics
1 answer:
Llana [10]3 years ago
6 0
The answer to your question is $720
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If an arithmetic sequence has a4 = 107 and a8 = 191, what is a₁?<br>PLEASE HELP ME​
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\text{nth term of  an arithmetic sequence,}\\\\a_n = a_1 + (n-1)d\\\\a_4 = a_1 +3d=107~~~......(i)\\ \\a_8=a_1+7d = 191~~~......(ii)\\\\\\\text{(ii) -(i):}\\\\~~~~~~a_1+7d-a_1-3d = 191 -107\\\\\implies 4d = 84\\\\\implies d = \dfrac{84}4\\\\\implies d= 21\\\\\text{Substitute d= 21  in eq~(i):}\\ \\~~~~~ a_1 +3(21) =  107\\\\\implies a_1 + 63 = 107\\\\\implies a_1 = 107-63\\\\\implies a_1 =44

3 0
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Write an equation that can be used to solve the problem. Then answer the question asked. A group of college students are volunte
svp [43]

Answer:

Required equation : \frac{1}{t}=\frac{1}{3}+\frac{1}{9}

Together they can paint the same room in 2.25 hours or 2 hours 15 minutes.

Step-by-step explanation:

It is given that Dale Horton can paint a certain room in 3 hours.

One hour woks of Dale Horton = 1/3

Kathy Garcia can paint the same room in 9 hours.

One hour woks of Kathy Garcia = 1/9

Let together they can paint the same room in t hours.

One hour woks of both = 1/t

\frac{1}{t}=\frac{1}{3}+\frac{1}{9}

\frac{1}{t}=\frac{3+1}{9}

\frac{1}{t}=\frac{4}{9}

After reciprocal we get

\frac{t}{1}=\frac{9}{4}

t=2.25

1 hour = 60 minutes.

0.25 hour = 15 minutes.

Therefore, together they can paint the same room in 2.25 hours or 2 hours 15 minutes.

4 0
3 years ago
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