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Mama L [17]
3 years ago
5

Find the common ratio. Write the answer in lowest terms. 8+12+18+27+...

Mathematics
1 answer:
kozerog [31]3 years ago
4 0

Answer:

r=\dfrac{3}{2}

Step-by-step explanation:

Consider the sequance

a_1=8\\ \\a_2=12\\ \\a_3=18\\ \\a_4=27\\ \\...

Note that

\dfrac{a_2}{a_1}=\dfrac{12}{8}=\dfrac{3}{2}\\ \\ \\\dfrac{a_3}{a_2}=\dfrac{18}{12}=\dfrac{3}{2}\\ \\ \\\dfrac{a_4}{a_3}=\dfrac{27}{18}=\dfrac{3}{2}\\ \\...

So, common ratio is

r=\dfrac{3}{2}=1\dfrac{1}{2}

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equation 7(2j + 3 + 2j). use mathematical properties to create two expressions that are equivalent to the expression you created
makvit [3.9K]

Answer:

90

Step-by-step explanation:

6 0
2 years ago
4. A loan made on March 12 is due September 10 of the following year. Find the exact time for the loan in a non-leap year and a
saul85 [17]

Answer:

182 days

Step-by-step explanation:

Given:

Date on which loan is made = March 12

Due date of the loan = September 10

Now,

The months in between March and September and the number of days in the particular months are

Month                          Number of days

April                               30

May                                31

June                               30

July                                 31

August                            31

------------------------------------------

Total number of days =  153

also,

Number of days left in March after 12 are (31 - 12 ) = 19 days

and,

Number of days in September before the due date = 10 days

Hence, the total time for loan = 19 + 153 + 10 = 182 days

since the included months does not have the month of February. Therefore,

the time for both leap year and non-leap year will remain same.

7 0
3 years ago
Y = 4x - 5<br> y = 3<br> Solve system of equations
kifflom [539]
3=4x-5
3+5=4x
8=4x
X=8/4=2

X=2 and Y=3
5 0
3 years ago
Factorise the following.​
spin [16.1K]

Answer:

x²(9x– 11)(9x + 11)

Step-by-step explanation:

81x⁴ – 121x²

The expression can be factorised as follow:

81x⁴ – 121x²

x² is common to both term. Thus:

81x⁴ – 121x² = x²(81x² – 121)

Recall:

81 = 9²

121 = 11²

Therefore,

x²(81x² – 121) = x²(9²x² – 11²)

= x²[(9x)² – 11²]

Difference of two squares

x²(9x– 11)(9x + 11)

Therefore,

81x⁴ – 121x² = x²(9x– 11)(9x + 11)

3 0
3 years ago
A family went to a baseball game. The cost to park cars was $5 and the cost per ticket was $21. Write a linear function in the f
Sophie [7]

Answer:

The total cost y in dollars of going to the baseball game for x people of a family can be given as:

y=21x+5

Step-by-step explanation:

Given:

At a baseball game:

Cost of car parking = $5

Cost per ticket = $21

To write an equation in the form of y=mx+b representing the total cost of going to the baseball game.

Solution:

The total number of people in the family is = x

Using unitary method to find the cost of tickets for x persons.

If 1 ticket costs = $21

<em>Then, x tickets will cost in dollars</em><em> = </em>21x

Fixed rate for car parking = $5

Thus, the total cost y in dollars of going to the baseball game for x people of a family can be given as:

y=21x+5

5 0
3 years ago
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