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3 years ago

Help 6,000 ÷ 20 - 34 × 8 + 12 ×9

Mathematics

1 answer:

Strike441 [17]3 years ago

5 0

The answer to your question is 136, pretty self explanatory

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What is the 9th term of the following geometric sequence? 7/9,-7/3,7,-21,63 ??????

dmitriy555 [2]

Given:

The geometric sequence is:

$\dfrac{7}{9},\dfrac{-7}{3},7,-21,63,...$

To find:

The 9th term of the given geometric sequence.

Solution:

We have,

$\dfrac{7}{9},\dfrac{-7}{3},7,-21,63,...$

Here, the first term is:

$a=\dfrac{7}{9}$

The common ratio is:

$r=\dfrac{a_2}{a_1}$

$r=\dfrac{\dfrac{-7}{3}}{\dfrac{7}{9}}$

$r=\dfrac{-7}{3}\times \dfrac{9}{7}$

$r=-3$

The nth term of a geometric sequence is:

$a_n=ar^{n-1}$

Where, a is the first term and r is the common ratio.

Substitute $a=\dfrac{7}{9},r=-3,n=9$ to find the 9th term.

$a_9=\dfrac{7}{9}(-3)^{9-1}$

$a_9=\dfrac{7}{9}(-3)^{8}$

$a_9=\dfrac{7}{9}(6561)$

$a_9=5103$

Therefore, the 9th term of the given geometric sequence is 5103.

5 0

3 years ago

I need helpWith this problemFor my grandson. I did get some help but need more. Thank you!

Pani-rosa [81]

Step 1:

Percent is part of 100.

Step 2

First part:

60 units split into 80% and 20%

$\begin{gathered} 80\text{ \% of 60 units = }\frac{80}{100}\text{ }\times60\text{ = 48} \\ 20\text{ \% = 12} \end{gathered}$

Second part

12 units = 40 %

$\begin{gathered} 40\text{ \% = 12 units } \\ 60\text{ \% = }\frac{60\times12}{40}\text{ = 18 units} \end{gathered}$

Third part

30 % = 18 units

$\begin{gathered} 30\text{ \% = 18 units} \\ 70\text{ \% = }\frac{18\text{ }\times\text{ 70}}{30}\text{ = 42 units} \end{gathered}$

Fourth part

75 % = 42 units

$\begin{gathered} 75\text{ \% = 42 units} \\ 25\text{ \% = }\frac{25\text{ }\times\text{ 42}}{75}\text{ = 14 units} \end{gathered}$

Final answer

14 + 42 = 56 units

The length of the bottom diagram = 56 units

5 0

1 year ago

Join the z o o m if you wanna p7QgRS

katrin [286]

Answer:

thx

Step-by-step explanation:

3 0

2 years ago

Look at rectangle DEFG shown below. What is its area? 32 54 60 99

sergey [27]

60Answer:

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Caroline is building a circular fence for her basil garden. She used 29.8 feet of fencing for the fence. What is the radius of t

Rama09 [41]

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Given :

Circumference = 29.8

$\\$

To find:

$\\$

Radius of circle

$\\$

Solution:-

$\\$

We know:-

$\rm circumference = 2\pi r$

$\\ \\$

So:-

$\looparrowright \sf circumference = 2\pi r$

$\\$

$\looparrowright \sf 29.8= 2\pi r$

$\\$

$\looparrowright \sf 29.8= 2 \times \dfrac{22}{7} \times r$

$\\$

$\looparrowright \sf \dfrac{298 \times7}{22 \times 2 \times 10} = r$

$\\ \\$

$\looparrowright \sf \dfrac{149 \times7}{22 \times 10} = r$

$\\ \\$

$\looparrowright \sf \dfrac{1043}{220} = r$

$\\$

$\looparrowright \sf r = 4.74$

⭒━━━━━━⭑━━━━━━⭒

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7 0

2 years ago

Help 6,000 ÷ 20 - 34 × 8 + 12 ×9​

Help 6,000 ÷ 20 - 34 × 8 + 12 ×9