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2 years ago

What is the common ratio of the sequence 3, 21, 147, … ?

Mathematics

2 answers:

dimaraw [331]2 years ago

7 0

It is 7, C,
A= 1029
B=7203

inessss [21]2 years ago

3 0

Step-by-step explanation:

The common ratio is a constant found in geometric sequences, denoted r in the equations for geometric sequences, when any term is divided by the term preceding it. In this case the common ratio is: 147/21=21/3=7=r So 7 is the common ratio.

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1. If OQ and RT are parallel lines which statement is true?

Kaylis [27]

Answer:

Step-by-step explanation:

Question (1).

OQ and RT are the parallel lines and UN is a transversal intersecting these lines at two different points P and S.

A). ∠OPS ≅ ∠RSU [corresponding angles]

B). m∠OPS + m∠RSP = 180° [Consecutive interior angles]

C). m∠OPS + m∠OPN = 180° [Linear pair of angles]

D). Since, ∠OPS ≅ ∠TSP [Alternate interior angles]

And m∠TSP + m∠TSU = 180° [Linear pair of angles]

Therefore, Option (A) is the correct option.

Question (2).

A). m∠RSP + m∠RSU = 180° [Linear pair of angles]

B). m∠RSP + m∠PST = 180° [Linear pair of angles]

C). ∠RSP ≅ ∠TSU [Vertically opposite angles]

D). m∠RSP + m∠OPS = 180° [Consecutive interior angles]

Therefore, Option (C) will be the answer.

3 0

3 years ago

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What is 21/25 in a fraction

Vlad [161]

21/25 is already a fraction and if you wanted it to be simplified, its already simplified to be 21/25.

5 0

3 years ago

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What effect does multiplying a number by 1/10 have on the number?

antoniya [11.8K]

$x \times \frac{1}{10} = \frac{x}{10}$

Divides it by 10.

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3 years ago

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Maria invested a total of 31,000 in two account, first account earned a rate of 14%. How ever second account suffer a 10% loss i

Maslowich

Answer:the amount of money that Maria invested in the first account is $20000

the amount of money that Maria invested in the second account is $11000

Step-by-step explanation:

Let x represent the amount of money that Maria invested in the first account.

Let y represent the amount of money that Maria invested in the second account.

Maria invested a total of 31,000 in the two account. This means that

x + y = 31000

The first account earned a rate of 14%. This means that the amount earned on the first account is 14/100×x = 0.14x

However, the second account suffered a 10% loss in the same time. This means that the amount lost is

10/100×y = 0.1y

At the end of one year the total amount money gain 1,700. This means that

0.14x - 0.1y = 1700 - - - - --1

Substituting x = 31000 - y into equation 1, it becomes

0.14(31000 - y)- 0.1y = 1700

4340 - 0.14y - 0.1y = 1700

- 0.14y - 0.1y = 1700 - 4340

-0.24y = -2640

y = 2640/0.24 = 11000

x = 31000 - y = 31000 - 11000

x = 20000

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3 years ago

3 apples for $0.59 unit rate answer?

scZoUnD [109]

Answer:

$0.1966666

Step-by-step explanation:

$3\overline{|\smallspace59}\:\:\:\:\:$

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2 years ago