Answer:
Tn = 6.4 + 1.8n
Step-by-step explanation:
Given
Sequence: 8.2, 10, 11.8, 13.6
Required
The formula of the sequence.
First, the type of the sequence needs to be determined (arithmetic or geometric)
It is an arithmetic sequence because each successive sequence is separated by a common difference..
The common difference is represented by d and it's calculated as follows.
d = 10 - 8.2 or 11.8 - 10 or 13.6 - 11.8
Each of the above gives
d = 1.8
Now, that we have the common difference; the next is to determine the formula using the Arithmetic Progression formula.
Tn = T1 + (n - 1)d
Where T1 is the first term of the progression; T1 = 8.2
By substituting 8.2 for T1 and 1.8 for d.
This gives
Tn = 8.2 + (n - 1) * 1.8
Open bracket
Tn = 8.2 + 1.8 * n - 1 * 1.8
Tn = 8.2 + 1.8n - 1.8
Collect like terms
Tn = 8.2 - 1.8 + 1.8n
Tn = 6.4 + 1.8n
Hence, the formula of the sequence is Tn = 6.4 + 1.8n
The cost of each vegetable is €1.50 per pound
Edward bought 3.25 pounds of carrot.
So the cost of 3.25 pounds of carrots = 3.25 × 1.50 = €4.875
He also purchased 
pounds of beet.
Quantity of beet purchased = 6/5 = 1.2 pounds
So the cost of beet shall be = 1.50 × 1.2 = €1.80
He purchased 0.95 pounds of Broccoli
So the cost of Broccoli shall be = 0.95 × 1.50 = €1.425
Total amount spent = 4.875 + 1.80 + 1.425 = €8.10
Edward spent €8.10 on vegetables.
Answer:
x = 15
Step-by-step explanation:
Given
3(x - 8) + 4 - 2x = - 5 ← distribute and simplify left side
3x - 24 + 4 - 2x = - 5
x - 20 = - 5 ( add 20 to both sides )
x = 15
Answer:
In 1 min a gazelle runs 3,900 ft.
As a fraction, 1/65
In order to find the solution to this problem you could use a table.
Since we are using seconds we have to convert the 1 min = 60 seconds.
<u>Sec</u><u> | 12 | 60</u>
<u>Fts</u><u> | 780 | x </u>
12 goes into 60 5 times, so we have to multiply 780 by 5 which gives us 3900.
x=3900
