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4 years ago

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Identify the type of sequence 1/10, 3/20, 5/30, 7/40...

1 answer:

Dafna11 [192]4 years ago

4 0

Arithmetic sequence: must have a constant common difference.
3/20-1/10=(3-2)/20=1/20
5/30-3/20=(10-9)/60=1/60
Difference is not constant, so no.

Geometric sequence: must have a common ratio
30/20 / (1/10) = 15
5/30 / (3/20) = 100/90 = 10/9
ratio is not constant, so no.

The answer is (c) neither geometric nor arithmetic

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Eight times the result of subtracting 3 from a number is equal to the number increased by 25. What is the number?

OlgaM077 [116]

8(x-3) = x + 25
8x -24 = x + 25
7x = 49
x = 7

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4 years ago

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James and Lucas competed in climbing a mountain and coming back. James climbed at an average rate of 3 mph and ran back at 4 mph

Bogdan [553]

It took 70 minutes for James to finish and 84 minutes for Lucas to finish and James was faster.

Step-by-step explanation:

Given,

Climbing rate of James = 3 mph

Running back rate of James = 4 mph

Climbing rate of Lucas = 2 mph

Running back rate = 5 mph

Total distance = 2 miles

We know that;

Distance = Speed * Time

As we have to find, we will rearrange the formula in terms of time

$Time=\frac{Distance}{Speed}$

Time took by James for climbing = $\frac{2}{3}\ hours$

Time took for running back = $\frac{2}{4}\ hours$

Total time = $\frac{2}{3}+\frac{2}{4}=\frac{8+6}{12}=\frac{14}{12}$

Total time taken by James = $\frac{7}{6}\ hours$

1 hour = 60

Total time taken by James = $\frac{7}{6}*60=70\ minutes$

Time took by Lucas for climbing = $\frac{2}{2}=\ 1\ hour$

Time took by Lucas for climbing = 60 minutes

Time took on return = $\frac{2}{5} of\ an\ hour=\frac{2}{5}*60=24\ minutes$

Total time taken by Lucas = 60+24 = 84 minutes

Therefore,

It took 70 minutes for James to finish and 84 minutes for Lucas to finish and James was faster.

Keywords: distance, speed

Learn more about distance at:

#LearnwithBrainly

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3 years ago

I am stuck and getting a head ache please help

astra-53 [7]

Answer:

DF=20

Step-by-step explanation:

$\frac{9}{12}$ = $\frac{15}{DF}$

Use cross Multiplication

9DF=180

Divide 180 by 9

DF=20

Hope this helps! :)

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3 years ago

Jasmine invests $2,658 in a retirement account with a fixed annual interest rate of 9% compounded continuously. What will the ac

Feliz [49]

Answer:

$10,253.04

Step-by-step explanation:

You are going to want to use the continuous compound interest formula, which is shown below.

$A = Pe^{rt}$

<em>P = principal amount</em>

<em>r = interest rate (decimal)</em>

<em>t = time (years)</em>

<em />

First, change 9% into a decimal:

9% -> $\frac{9}{100}$ -> 0.09

Next, plug the values into the equation:

$A=2,658e^{0.09(15)}$

$A=10,253.04$

The account will have $10,253.04

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3 years ago

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3 years ago

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