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Gennadij [26K]
3 years ago
15

Find the common ratio of the sequence. 3,-9,27,-81

Mathematics
1 answer:
romanna [79]3 years ago
7 0

Answer:

r = - 3

Step-by-step explanation:

To find the common ratio r, divide consecutive terms

- 9 ÷ 3 = - 3

27 ÷ - 9 = - 3

- 81 ÷ 27 = - 3

Thus common ratio = - 3

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Write the phrase as an expression. Then evaluate when y=20.
alisha [4.7K]

Answer:

Q=\frac{40}{y-16}

Q=10

Step-by-step explanation:

Let the quotient be represented by 'Q'.

Given:

The difference of a number 'y' and 16 is y-16

Quotient is the answer that we get on dividing two terms. Here, the first term is 40 and the second term is y-16. So, we divide both these terms to get an expression for 'Q'.

The quotient of 40 and y-16 is given as:

Q=\frac{40}{y-16}

Now, we need to find the quotient when y=20. Plug in 20 for 'y' in the above expression and evaluate the quotient 'Q'. This gives,

Q=\frac{40}{20-16}\\Q=\frac{40}{4}=10

Therefore, the quotient is 10, when the value of 'y' is 20.

7 0
3 years ago
The fifth graders are planning a pizza party. Each fifth grader will eat two slices of pizza with a favorite topping. One-half o
icang [17]
32 students choose a favorite topping for their slices.

Let x be the total number of students.

1/2 of the total students, or 1/2x, choose pepperoni.
1/4 of the total students, or 1/4x, choose extra cheese.
1/8 of the total students, or 1/8x, choose sausage.
4 students choose mushrooms.

We know that together, these equal the total number of students, x:
1/2x+1/4x+1/8x+4=x

We will use 8 as the common denominator:
4/8x+2/8x+1/8x+4=x


Combining like terms:
7/8x+4=x

Subtract 7/8x from both sides:
7/8x+4-7/8x=x-7/8x
4=1x-7/8x
4=1/8x

Divide both sides by 1/8:
4÷(1/8) = 1/8x÷(1/8)
4/1÷(1/8) = x
4/1×8/1 = x
32/1 = x
32 = x
4 0
3 years ago
Tras una rebaja del 8%, un pantalón cuesta 17,28 euros. ¿Cuál era su precio inicial?
Sholpan [36]

Answer:

18.78

Step-by-step explanation:

x*(100%-8%)=17.28

x=18.78

3 0
2 years ago
Which diagram shows lines that must be parallel lines cut by a transversal
DochEvi [55]
The top one shows they are parallel lines because it shows angles of both lines and the transversal
7 0
3 years ago
Read 2 more answers
PLEASE HELP AND EXPLAIN WELL
Irina-Kira [14]

Answer:

5%

Step-by-step explanation:

so basically we know in 3 years she spent 390 dollars

so 390 divided by 3 is 130

so all we need to do is find this:

130 is what percent of 2600

so the final answer is 5%

5 0
2 years ago
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