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2 years ago

14

Sam is 5 years older than Mike. In 6 years, Mike will be 7 more than half of Sam's age. How old is Sam now?

1 answer:

9966 [12]2 years ago

5 0

The Correct answer is B.18

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Calculate the arithmetic sequence in which a9=17 and the common difference is d=-2.1

jek_recluse [69]

Answer:

$S_{31}=71.3$

Step-by-step explanation:

The nth term of an arithmetic sequence is given by the formula,

$U_n=a_1+(n-1)d$

We were given that the 9th term is $17$ .

$\Rightarrow 17=a_1+(9-1)(-2.1)$

$\Rightarrow 17=a_1+(8)\times(-2.1)$

$\Rightarrow 17=a_1-\frac{84}{5}$

$\Rightarrow 17+\frac{84}{5}=a_1$

$\Rightarrow a_1=\frac{169}{5}$

The sum of the first n-terms is given by the formula,

$S_n=\frac{n}{2}(2a_1+(n-1)d)$

To find $S_{31}$ , we substitute $n=31$ , $a_1=\frac{169}{5}$ and $d=-2.1$ .

$\Rightarrow S_{31}=\frac{31}{2}(2(\frac{169}{5}+(31-1)(-2.1))$

$\Rightarrow S_{31}=\frac{31}{2}(2(\frac{169}{5}+(30)(-2.1))$

$\Rightarrow S_{31}=\frac{31}{2}(\frac{23}{5})$

$\Rightarrow S_{31}=\frac{713}{10}$

$\Rightarrow S_{31}=71.3$

The correct answer is D

8 0

3 years ago

Read 2 more answers

Which is the correct way to write three and one-tenth of a milliliter as an Arabic number?

Leya [2.2K]

we have that
<span>three and one-tenth------> 3 1/10--------> (3*10+1)/10--------> 31/10-----> 3.1

the answer is 3.1 ml</span>

4 0

3 years ago

72/63 in simplest form

Viktor [21]

$\frac{72}{63}$
Divide both the numerator and denominator by 9 to get;
$\frac{8}{7}$
Convert the improper fraction to a mixed number;
$\frac{8}{7} =1 \frac{1}{7}$

3 0

2 years ago

40% of Michelle's monthly earnings goes to her rent payment. If Michelle is paid $3,200 every month, How much does she pay in re

Andrej [43]

Answer:

$ 1,280 hope that helps

8 0

2 years ago

Read 2 more answers

75, 75, 68, 11, 81, 69, 83, 13, 83<br> Calculate the range.

Fudgin [204]

Answer:

72

Step-by-step explanation:

The greatest number in this set is 83

The smallest number is 11

We subtract the greatest from the smallest number in a set to find the range

83-11=72

8 0

2 years ago

Read 2 more answers