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3 years ago

27+9s=-36 solve for s.

2 answers:

8 0

Subtract 27 from both sides because we want s by itself
9s = -63

Now to get the s by itself divide 9 from both sides

And you get -7

forsale [732]3 years ago

5 0

The answer is s=-7
first subtract 27 and get -63
next divide both sides by 9 and get your answer -7

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30 points!!<br> What is the sum of the first six terms of the series?<br> 48 - 12 + 3 - 0.75 +...

Lunna [17]

Answer:

The sum of the first six terms is 38.39

Step-by-step explanation:

This is a geometric sequence since the common difference between each term is $-\frac{1}{4}$

Thus, $r=-\frac{1}{4}$

To find the sum of first six terms, we need to find the fifth and sixth term of the sequence.

To find the fifth term:

The general form of geometric sequence is $a_{n}=a_{1} \cdot r^{n-1}$

To find the fifth term, substitute $n=5$ in $a_{n}=a_{1} \cdot r^{n-1}$

$\begin{aligned}a_{5} &=(48) \cdot\left(-\frac{1}{4}\right)^{5-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{4} \\&=(48)\left(\frac{1}{256}\right) \\a_{5} &=0.1875\end{aligned}$

To find the sixth term, substitute $n=6$ in $a_{n}=a_{1} \cdot r^{n-1}$

$\begin{aligned}a_{6} &=(48) \cdot\left(-\frac{1}{4}\right)^{6-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{5} \\&=(48)\left(-\frac{1}{1024}\right) \\a_{5} &=-0.046875\end{aligned}$

To find the sum of the first six terms:

The general formula to find Sn for $|r|$ is $S_{n}=\frac{a\left(1-r^{n}\right)}{1-r}$

$\begin{aligned}S_{6} &=\frac{48\left(1-\left(-\frac{1}{4}\right)^{6}\right)}{1-\left(-\frac{1}{4}\right)} \\&=\frac{48\left(1-\frac{1}{4096}\right)}{1+\frac{1}{4096}} \\&=\frac{48(0.95)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{47.9904}{5} \\&=38.39\end{aligned}$

Thus, the sum of first six terms is 38.39

5 0

3 years ago

Publix sells apples and oranges for $0.79 per pound. Marc puts 1.2 pounds of oranges in his cart then adds some apples. The tota

finlep [7]

Answer:

Step-by-step explanation:

you have to multiply .79 to both a and 1.2. A is wrong because it's saying we need to multiply .79 to 1.2lb. which is the weight of oranges and the total cost of apples and oranges which is 6.27.

4 0

3 years ago

Two planes leave an airport the same time and travel in opposite directions. one plane averages 300 miles per hour, and the othe

vekshin1

In 3 hours, the two planes will be 2,700 miles apart.

If in one hour, the planes get 900 miles apart, it will take 3 hours to become 2,700 miles apart.

《----- and -----》 Indicatethe planes moving in opposite directions.

The number indicate the distance traveled.

The amount of times the number is repeated indicates the amount of hours flown (ex.: 50+50+50+50 would indicate 4 hours flown because there are 4 50s in the sequence).

So
《-----300 + 600-----》
=900 miles in one hour

《------300+300 and 600+600-----》
=1,800 miles in 2 hours

《-----300+300+300 and 600+600+600-----》
=2,700 miles in 3 hours

5 0

4 years ago

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The recipe for mint chocolate ice cream requires 2 1/4 cups of cream for 5 people. You need ice cream for 15. How much cream do

Yuki888 [10]

Answer:

6 3/4

Step-by-step explanation:

if 15 servings are required then you would need to times the amount required by 3. so

2 1/4 x 3=6 3/4

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3 years ago

Can someone help me? I’ll reward brianalist + points

gregori [183]

Answer:

A , 3

Step-by-step explanation:

25K = 75

k = 75/25, k = 3

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3 years ago