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3 years ago

Find S12 for the series 2 + 5 + 8 +...

2 answers:

7 0

Hi, I'm pretty sure by S12 you mean the sum of all the 12 terms in the series 2 + 5 + 8 + .....

Then, first you find the pattern:
5 -2 = 3
8 -5 = 3
This is an arithmetic series with a common difference of 3. Next, we find the last term, or the 12th term.

A12 = A1 + (n - 1)d
A12 = 2 + (12 - 1)3
A12 = 35

Since, we know the first and last terms of the series, we could find the sum by this formula:

S = (n/2)*(A1 + A12)
S = (12/2) * (2 + 35)
S = 222

The answer is 222.

olga55 [171]3 years ago

4 0

2+5+8+11+14+17+20+23+26+29+32+35

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If gas costs $3.15 per gallon, how many whole gallons of gas could you buy with $27.00?

Volgvan

Answer: 8 whole gallons.

Step-by-step explanation: If you have only $27.00 and you need to buy gas, but each gallon is $3.15, then you just need to divide your total amount ($27.00) by your cost per gallon ($3.15), and you will get about 8.6 gallons, however this question asks for how many WHOLE gallons you can get, so all you need to do is round down to fit your budget, leaving money for only 8 whole gallons.

WORK: ($27.00) / ($3.15) = 8.6 gallons

4 0

2 years ago

Read 2 more answers

Can some one do all these questions for me.

Zielflug [23.3K]

Which questions can you please send a link? :)

6 0

3 years ago

Jane has a circular garden with a diameter of 16 feet if one bag of fertilizer covers 30 ft.² how many bags will she need to cov

AleksAgata [21]

Answer:

She need 7 bags to cover the garden

Step-by-step explanation:

Diameter of circular garden = 16 feet

Radius of circular garden = $\frac{16}{2} = 8 feet$

Area of circular garden = $\pi r^2 = \frac{22}{7} \times 8^2 =200.96ft^2$

30 sq.feet covered by no. of bags = 1

200.96 sq.feet covered by no. of bags = $\frac{200.96}{30}=6.69$

Hence She need 7 bags to cover the garden

5 0

3 years ago

Real World Scenario:

iragen [17]

The distance of a train from the city depends on the speed, the time of

travel, and direction of motion of the train.

Correct responses:

Distance Train A is from the city: 750 - 75·t

Distance Train B is from the city: 50·t

After six hours, the two trains are the same distance from the city

At that time both trains will be 300 miles away

1) From the time of departure of Train B to just before 6 hours after Train B's departure; 0 ≤ t < 6 hours

2) At time period, t > 6 hours

3) 250 miles

<h3>Method used to find the above response</h3>

Given:

The distance of train A from the city = 750 miles

Speed of train A = 75 mph

Time at which Train B leaves the city = When Train A is 750 miles from the city

Speed of Train B = 50 mph

Solution:

The equations are;

Distance of Train A from the city is; x₁ = 750 - 75·t

Distance of Train B from the city is x₂ = 50·t

When the train are the same distance from the city, we have;

750 - 75·t = 50·t

750 = 50·t + 75·t = 125·t

Therefore;

$t = \mathbf{\dfrac{750}{125}} = 6$

The time it takes the two trains to be the same distance from the city is 6 hours.

Which gives;

After 6 hours, the two trains are the same distance from the city.

The distance the trains will be after 6 hours is therefore;

750 - 75 × 6 = 300

The distance of the trains from the city after 6 hours = 300 miles

Therefore, we have;

At that time both trains will be 300 miles away

1) The time period Train A is further from the city is before the first 6 hours elapse; 0 hours ≤ t < 6 hours

2) The Train B is further from the city after 6 hours of its departure from the city; t > 6 hours

3) The distance of Train A from the city after 4 hours is given as follows;

x₁ = 750 - 75 × 4 = 450

x₁ = 450 miles

The distance of Train B from the city after 4 hours is; x₂ = 50 × 4 = 200

x₂ = 200 miles

Therefore;

The distance between the trains after 4 hours = 450 miles - 200 miles = 250 miles

Learn more about distance and time relationship equation here:

brainly.com/question/10804931

3 0

2 years ago

What is the distance between the points (5, 9) and (–3, 9)?

katrin2010 [14]

Here's link to the answer:

tinyurl.com/wpazsebu

7 0

3 years ago