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Vesnalui [34]
3 years ago
15

Laura has a step of 50cm She walks along by taking two steps forward and one step back. What is the least number of steps counti

ng forward and backwards step, she takes to reach a step 20m away? ~Thanks - don't know how to solve :(

Mathematics
2 answers:
emmasim [6.3K]3 years ago
4 0
I wrote the answer somewhere else and it wouldn’t let me copy and paste so here’s the screenshot

Vilka [71]3 years ago
3 0

Answer:

The least number of steps she takes to reach 20 m is 118 steps

Step-by-step explanation:

For Laura, the length of a walking step = 50 cm = 0.5 m

The repeating number of steps she takes = Two steps forward one step backwards

The number of forward steps it would take for her to reach 20 m = (20 m)/(0.5 m) = 40 steps

Given that she always takes two steps forward and one step backwards, we have;

The number of steps forward every three steps = 2 step forward + (-1) step (backward)

The number of steps forward every three steps = 2 - 1 = 1 step forward

To reach 39 steps forward, she would need 39 × 3 =  117 steps

To get to the 40 steps she needs just a step forward, making the total number of steps to reach 40 steps = 117 + 1 = 118 steps

Therefore, the least number of steps she takes to reach 20 m = 118 steps.

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Using it's concept, it is found that there is a 0.5 = 50% probability that one of the fair number cubes is a 1.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

The outcomes of the pair of cubes that result in a sum of 5 are as follows:

(1,4), (2,3), (3,2), (4,1).

Of those 4 outcomes, 2 involve a number 1, hence the probability is given by:

p = 2/4 = 0.5.

More can be learned about probabilities at brainly.com/question/14398287

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NNADVOKAT [17]

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What is the equivalent fraction of 21/10 with denominater 10 (pls help its urgent also then i will mark brainlist)
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Amirah volunteers at the recycling center every weekend. Last weekend, she helped sort 263 pounds of cans and bottles 668 pounds
Evgesh-ka [11]

Answer:

The total amount of recyclables sorted by Amirah is 931 pounds.

Step-by-step explanation:

Amount of cans and bottles sorted  = 263 pounds

Amount of paper sorted  =  668 pounds

So, the total amount of recyclables sorted

= amount of cans and bottle sorted + amount of paper sorted

= 263 pounds + 668 pounds

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3 0
3 years ago
A bank manager wants to encourage new customers to open accounts with principals of at least ​$2 comma 500. He decides to make a
prisoha [69]

Answer:

To earn $10 in 1st month, the principal must be $4,000.

No, the poster cannot claim that "Open an account of ​$2 comma 500 and earn at least ​$10 interest in 1​ month!".

Step-by-step explanation:

We have been given that a bank manager wants to encourage new customers to open accounts with principals of at least ​$2,500. He decides to make a poster advertising a simple interest rate of 3​%. We are asked to find the principal to advertise that one can earn ​$10 the first​ month.

We will use simple interest formula to solve our given problem.

I=Prt, where,

I = Amount of interest,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

r=3\%=\frac{3}{100}=0.03

1 month will be equal to \frac{1}{12}.

\$10=P\cdot0.03\cdot \frac{1}{12}

\$10=0.0025P

\frac{\$10}{0.0025}=\frac{0.0025P}{0.0025}

P=\$4000

Therefore, to earn $10 in 1st month, the principal must be $4,000.

Now, we will check if an account of ​$2,500 can earn at least ​$10 interest in 1​ month.

I=\$2500\cdot 0.03\cdot \frac{1}{12}

I=\$6.25

Since the account earns an amount of $6.25 in one month, therefore, the poster is not true.

4 0
3 years ago
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