1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ololo11 [35]
3 years ago
7

A 63 inch long string is cut into pieces so that their lengths form a sequence. First, a 1 inch piece is cut from the string, an

d each successive piece that is cut is twice as long as the previous piece cut. In how many pieces can the original length of string be cut in this way?
Mathematics
1 answer:
IgorC [24]3 years ago
6 0
There are fancy ways of doing this sort of thing, however from my experience in exams you are frankly best working this out by inspection and not worrying about doing it in a fancy way - the examiners want to test your mathematical aptitude not your ability to memorise complex methods.

The sequence of doubling can be done at light speed in your head, 1 2 4 8 16 32 etc.
Let's have a stab and go for 32:
32+16+8+4+2+1 = 63 - magic, inspection works better than whatever the formula book says (that's my pro tip tbh)
Remember however since the answer is exact, the last 32 inch piece does not need to be cut, therefore the string is cut 5 times.
You might be interested in
Please help with this
omeli [17]

Answer:

y =  \frac{1}{8} x - 3

Step-by-step explanation:

Formula for straight lines:

y = mx + b

where m = slope, b = constant

Given:

y-intercept = -3 (0, -3)

m = ⅛

Substitute into formula to find b.

- 3 =  \frac{1}{8} (0) + b \\  - 3 = 0 + b \\ b =  - 3

Substitute b into original formula

y = mx + b \\ y =  \frac{1}{8} x + ( - 3) \\ y =  \frac{1}{8} x - 3

4 0
3 years ago
The scale on a map shows that 1 inch = 30 miles. If there are 4.5 inches between your present location and the place you want to
anastassius [24]

Scale : 1 inch = 30 miles

So, the ratio between the distance on the map and the real distance is 1:30

When a quantity increase/decrease in a ratio, the other one increase/decrease respectively.

Call the miles we have to go : x

1:30 = 4.5:x

(1x4.5):(30x4.5) = 4.5 : x

4.5 : 135 = 4.5 : x

So, x = 135 => We have to go 135 miles to get to the place we want to go.

6 0
2 years ago
Round to the nearest tenth if neccessary<br> 69.904 divided by 34
Cloud [144]

Answer:

2.056

rounded to the nearest tenth: 2.1

Plz mark brainliest!! :DD

7 0
3 years ago
Read 2 more answers
A man is paid $1500 salary. He spends 20% of the salary for his kids education, 35% for food, 15% for miscellaneous and he saves
Alexxandr [17]
<h3>G I V E N : </h3>

A man is paid $1500 salary. He spends 20% of the salary for his kids education, 35% for food, 15% for miscellaneous and he saves the rest. How much money does he save?

<h3>S O L U T I O N : </h3>

Total Income = $ 1500

According to the question,

He spends 20% to his kids education

He spends 35% for food

He spends 15% for miscellaneous

Out of total income he spends 20% on kids education

So, amount spent on kids education = 20% of $1500

Amount = 20/100 × $1500

Amount = $300

Hence, money spent on his kids education is $300

35% is spent on food

Money spent on food = 35% of $1500

Money spent = 35/100 × $1500

Money spent = $525

Hence, money spent on food is $525

15% is spent on miscellaneous

Money spent on miscellaneous = 15% of $1500

Money spent = 15/100 × $1500

Money spent = $225

Hence, money spent on miscellaneous is $225

Now, adding all the three we get

$300 + $525 + $225

$825 + $225

$1050

Total money spent = $1050

Remaining money = $1500 - $1050 = $450

  • <u>Remaining amount left with him is $450</u>
3 0
3 years ago
Read 2 more answers
A basketball player scores 9 points in 12 minutes. How many points per minute does the basketball player score?
ZanzabumX [31]

Answer:

0.75 points per minute

Step-by-step explanation:

9/12 is 0.75

3 0
2 years ago
Other questions:
  • What is the value of the expression <br> 3.2(2.3)−4.8
    7·2 answers
  • In segment AC, the midpoint is B. If segments AC = 5x-9 and AB = 2x, what is the measure of segment AC.
    15·1 answer
  • Solve the equation -(-2-n)
    10·1 answer
  • Find the equation of the line that has a slope of 7 and passes through the point (-6,8).
    9·2 answers
  • Determine if the expression – 6y 25 – is a polynomial or not. If it is a
    8·1 answer
  • I am multiple of 20 i have 3 digits my hundreds digit and tens digit add to make 9 half of me is less than 100 what am i
    12·1 answer
  • A bar graph titled Games per month has month on the x-axis and number of games on the y-axis. January has 7 games; February, 5 g
    7·2 answers
  • Complete the equation of the line through (3,-1)(3,−1)left parenthesis, 3, comma, minus, 1, right parenthesis and (4,7)(4,7)left
    7·1 answer
  • Please help! I will mark as brainliest. &lt;3
    7·2 answers
  • The Formula for the volume of a right square pyramid is given down below, where a is the side length of the base and h is the he
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!