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3 years ago

What’s the correct arithmetic sequence below

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

7 0

D. -3,-10,-17,-24,-31...this is an arithmetic sequence with a common difference of -7.

an arithmetic sequence...u have to be able to add the same number to each term to get the next term. On this sequence, the common difference is -7. This means by adding -7 to each term, we arrive at the next term.

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Mumbi is approximately 845 kilometers away from Bangalore, and Mumbai is approximately 1160 km away from Delhi. The distances, m

Mazyrski [523]

Mumbi is approximately 845 kilometers away from Bangalore, and Mumbai is approximately 1160 km away from Delhi, then the ratio between these distances is

$\dfrac{845}{1160}=\dfrac{169}{232}.$

A. Bangalore to Mumbai: 116.5 cm;

Mumbai to Delhi: 174 cm

The ratio:

$\dfrac{116.5}{174}=\dfrac{233}{348}\neq \dfrac{169}{232}$

This option is false.

B. Bangalore to Mumbai: 42.25

Mumbai to Delhi: 58 cm

The ratio is

$\dfrac{42.25}{58}=\dfrac{845}{1160}=\dfrac{169}{232}$

This option is true.

C. Bangalore to Mumbai: 23.4 cm

Mumbai to Delhi: 29 cm

The ratio is

$\dfrac{23.4}{29}=\dfrac{117}{145}\neq \dfrac{169}{232}$

This option is false.

D. Bangalore to Mumbai: 16.9 cm

Mumbai to Delhi: 23.2 cm

The ratio is

$\dfrac{16.9}{23.2}=\dfrac{169}{232}$

This option is true.

E. Bangalore to Mumbai: 25.35 cm

Mumbai to Delhi: 34.8cm

The ratio is

$\dfrac{25.35}{34.8}=\dfrac{507}{696}=\dfrac{169}{232}$

This option is true.

Answer: correct options are B, D and E

8 0

3 years ago

Read 2 more answers

QUESTION 9

Mars2501 [29]

Answer:

x = 31

Step-by-step explanation:

Given:

f(x) =

$2 {x}^{2} - 1$

g(x) = x + 2

We will first find g(2).

g(2) = 2 + 2 = 4

Next we will find f(g(2)).

f(g(2))= f(4) =

$2( {4}^{2} ) - 1 \\ = 2(16) - 1 \\ = 32 - 1 \\ = 31$

4 0

1 year ago

In a small private school, 6 students are randomly selected from 17 available students. What is the probability that they are t

Sindrei [870]

Answer:

1/8910720

Step-by-step explanation:

Number of ways they can be chosen :

⇒ 17 × 16 × 15 × 14 × 13 × 12

⇒ 272 × 15 × 14 × 13 × 12

⇒ 4080 × 14 × 13 × 12

⇒ 57120 × 13 × 12

⇒ 742560 × 12

⇒ 8910720

Hence, the probability will be :

⇒ P = 1 / number of ways

⇒ P = 1/8910720

8 0

2 years ago

Identify the volume of a sphere if it has a surface area of 465 square units

NeX [460]

Step-by-step explanation:

S.A = 465

4πr²= 465

r². = 36.9

r. = 6.08

volume of a sphere = 4/3πr³

= 4/3π * 6.08³

= 941.8 cm³

3 0

2 years ago

A pizzeria sells two types of pizza for lunch: pepperoni and cheese. The pepperoni pizza costs $8.50 and the cheese pizza costs

Usimov [2.4K]

Answer:

Let the no. Of cheese pizzas be x

Let the no. Of pepperoni pizzas be y

x + y = 45 (No. Of pizzas)

x = 45 - y

6x + 8.5y = 365 (cost of pizzas)

6(45-y) + 8.5y = 365

270 - 6y + 8.5y = 365

2.5y = 365 - 270

2.5y = 95

y = 95/2.5

y = 38

x = 7

Therefore 7 cheese pizzas were sold and 38 pepperoni pizzas were sold

Hope this helps!

7 0

3 years ago