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Strike441 [17]
3 years ago
7

the first term of an arithmetic sequence is 4 and the fifth term is 16 what is the 9th number in the sequence

Mathematics
1 answer:
dangina [55]3 years ago
4 0

Answer:

The 9th number is 28.

Step-by-step explanation:

Represent the common difference by d and the first term by f.

We can then write a formula for the nth term of this arithmetic sequence as follows;

a(n) = f+d(n-1)

We are told that the fifth term is 16; therefore, a(5) = 4+d(5-1) = 16.  We need to solve this equation for d.

Performing the indicated multiplication:  4 + 4d = 16.

Subtracting 4 from both sides:  4d = 12

Isolating d by dividing both sides by 4:  d = 3

Then the general formula for this sequence is a(n) = 4 + 3(n-1).

The 9th number in this sequence is thus a(9) = 4 + 3(9-1), or

a(9) = 4 + 3(8) = 28

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On Monday, it took 5 builders 3 in a half hours to build a wall.
mrs_skeptik [129]

Answer:

£83.70

Step-by-step explanation:

→ First step is to find the amount of hours it takes for one builder

We know it takes 5 builders 3\frac{1}{2} hours so 1 builder would take 5 × 3\frac{1}{2} which is \frac{35}{2} hours so it takes one builder 17.5 hours to builder a wall

→ Now we know how long one work takes we need to find out the time for 2 builders

1 builder = 17.5 hours

2 builders = 17.5 ÷ 2 = 8.75 hours

So 2 builders take 8.75 hours

→ We know that each builder is paid £9.30 for each or part hour they work so

9.30 hourly pay rate × 9 hours work of work = £83.70

Each worker will be paid £83.70

6 0
3 years ago
Help on three and four please
irina [24]

Answer:

20.4 mpg

Step-by-step explanation:

To find gas milage you simply do the # of miles divided by the # of gallons:

# of Miles= 306

# of Gallons= 15

You do \frac{306}{15} and then you would get the answer of 20.4.

So your final answer will be 20.4 mpg

Hope that helped!

8 0
3 years ago
In a triangle, one side length is 4 feet and another side length is 7 feet. Which answers are possible lengths for the third sid
Nuetrik [128]

Answer:

3

Step-by-step explanation:

You might just think that I subtracted but on the triangle the last side is the base which is always smaller.

7 0
3 years ago
Someone please help me with number 4
AVprozaik [17]
The answer is 10√3 because
10√3 is equal to approximately 17.32051 and the formula for finding the area of a square is length multipled by width so 10√3 x 10√3 is equal to 300 or 17.32051 x 17.32051 is equal to 300
8 0
3 years ago
How many square inches does an 11" x 13" area encompass?
Kryger [21]
The answer to this is 143".
5 0
4 years ago
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