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3 years ago

Write 2/3 as a decimal rounded to 3 sighificant figures

Mathematics

1 answer:

jasenka [17]3 years ago

8 0

Answer:

$0.667$

Step-by-step explanation:

2/3= 0.66666

Dividing the given value to obtain the decimal value gives:

$\frac{2}{3} =0.6666666666666667$

The last number is 7 which is greater than 5 this will increment the previous number by 1.

As,the previous values are also '6', so this step will continue till three significant figures.

$0.666666666666667\\0.66666666666667\\0.6666666666667\\0.666666666667\\0.66666666667\\0.6666666667\\0.666666667\\0.66666667\\0.6666667\\0.666667\\0.66667\\0.6667\\0.667$

So the value rounded up to 3 significant is $0.667$

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When Legs jumps 2 times and takes 13 steps forward, he lands in the same place as when he jumps 4 times and takes 5 steps backwa

tangare [24]

Answer:

9 steps

Step-by-step explanation:

Let $x$ be the number of jumps

and $y$ be the number of steps

So the first case

$2x+13y$

Second case

$4x-5y$

Both cover equal distances so

$2x+13y=4x-5y$

$\Rightarrow 2x-4x=-5y-13y$

$\Rightarrow 2x=18y$

$\Rightarrow x=9y$

So, one jumps is 9 steps.

4 0

3 years ago

Debora plans to sew 3 blankets for each of her nieces.

Sauron [17]

Answer:15

Step-by-step explanation: Debora has to take the numbers 3 and 5 and multiply. 3x5= 15

8 0

3 years ago

Read 2 more answers

-3(y-5)=24 what is the value of y

Gemiola [76]

Step 1
distribute the -3
-3(y-5)=24
-3y+15=24
step 2
subtract 15 from both sides
-3y =9
Step 3
divide -3 on both sides
y=-3

5 0

3 years ago

A class consists of 8 freshman and 22 sophomores.Freshman had an average of x points on a test,while sophomores had an average o

nirvana33 [79]

It's C because you need to find how many points each student earned per grade (freshman & sophomore). Then you multiply it by 30 to find out how many points each student scored in the whole class.

Hope this helps!

3 0

3 years ago

How many integers between 100 and 999 (inclusive) have distinct digits

daser333 [38]

Answer:

648

Step-by-step explanation:

Running this in Python, with the code as follows,

import math

cur_numbers = [0] * 3

num = 0

for i in range(100, 1000):

cur_numbers[2] = i % 10

i = math.floor(i/10)

cur_numbers[1] = i % 10

i = math.floor(i/10)

cur_numbers[0] = i % 10

if(len(set(cur_numbers)) == 3):

num += 1

print(cur_numbers)

print(num), we get 648 as our answer.

Another way to solve this is as follows:

There are 9 possibilities for the hundreds digit (1-9). Then, there are 10 possibilities for the tens digit, but we subtract 1 because it can't be the 1 same digit as the hundreds digit. For the ones digit, there are 10 possibilities, but we subtract 1 because it can't be the same as the hundreds digit and another 1 because it can't be the same as the tens digit. Multiplying these out, we have

9 possibilities for the hundreds digit x 9 possibilities for the tens digit x 8 possibilities for the ones digit = 648

5 0

3 years ago