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kompoz [17]
3 years ago
10

A recipe for 24 cookies calls for 6 tablespoons of sugar. Which of the amounts below would be a correct ratio of cookies to suga

r if you were to use the recipe?
Mathematics
2 answers:
Y_Kistochka [10]3 years ago
6 0

Answer:

1:4

Step-by-step explanation:

0.25 tablespoons of sugar will be used per cookie

bija089 [108]3 years ago
5 0

Answer:

4 cookies per tablespoon of sugar

Step-by-step explanation:

24 cookies divided by 6 tablespoons of sugar equal 4 cookies per tablespoon of sugar

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If 32 teams participate in a standard single elimination tournament, how many games must be played to decide a champion?
SCORPION-xisa [38]
<h3>Answer: 31 games</h3>

======================================================

Explanation:

  • 32/2 = 16 games will happen in round 1. Afterward, 16 teams are left.
  • 16/2 = 8 games will happen in round 2. Afterward, 8 teams are left.
  • 8/2 = 4 games happen in round 3.
  • 4/2 = 2 games in round 4.
  • 2/2 = 1 game as the final championship.

Count the number of times you divide by two and we have five occurrences of this. So there five rounds overall.

To get the total number of games played, we add up the quotients

16+8+4+2+1 = 31

----------------

Or as a shortcut we can simply subtract off 1 since 1+2+4+...+2^n = 2^(n+1)-1

We can write that rule as

\displaystyle \sum_{k=1}^{n}2^k = 2^{n+1}-1

which is equivalent to

\displaystyle \sum_{k=1}^{n}2^{k-1} = 2^n-1

3 0
3 years ago
What is the weight of an ice core that is 25 pounds on earth?
pychu [463]
The answer is -77 pounds :)
7 0
3 years ago
What is the slope of the line passing through (-3, 5) and (5, -3)?
chubhunter [2.5K]
There only 1 slope for (-3,5) (5,-3)

6 0
3 years ago
Read 2 more answers
Is 67.2 the sam as 67.20
mestny [16]

Answer:

yes

Step-by-step explanation:

67.2 = 67.20 = 67.200 = 67.200...

8 0
2 years ago
Read 2 more answers
A​ student's course grade is based on one midterm that counts as ​% of his final​ grade, one class project that counts as ​% of
Andrei [34K]

Answer:

The overall score is 75.6

Letter grade is C

Step-by-step explanation:

The question has missing details (See comment section for complete question).

From the complete question, we have:

<u>Proportion:</u>

Midterm = 15\%

Project = 25\%

Assignment = 40\%

Exam = 20\%

Scores

Midterm = 66

Project = 90

Assignment = 75

Exam = 66

Solving (a): The overall score

To do this, we simply calculate the mean of the given data.

The mean is calculated by multiplying each proportion by the scores..

So, we have:

Overall = 15\% * 66 + 25\% * 90 + 40\% * 75 + 20\% * 66

Overall = 9.9 + 22.5 + 30 + 13.2

Overall = 75.6

Solving (b): The letter grade

From the question, we have:

A: Mean \ge 90

B: 80 \le Mean < 90

C: 70 \le Mean < 80

The overall score falls in the following category:

C: 70 \le Mean < 80

Because:

70 \le 75.6 < 80

<em>Hence, the letter grade is C</em>

8 0
2 years ago
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