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Irina-Kira [14]
3 years ago
12

What is 3 1/2 of a dozen eggs

Mathematics
2 answers:
Lelu [443]3 years ago
5 0
'of' means multiply

convert 3 and 1/2 to a improper fraction for easier mutlipying
3 and 1/2=3+1/2=6/2+1/2=7/2

a dozen is 12 eggs

7/2 of a dozen means
7/2 times 12=84/2=42

that is 42 eggs
Aloiza [94]3 years ago
3 0
There are 12 eggs in a dozen. We can set up a cross-multiplication problem to solve this. 12/100=3.5/x 

3.5 times 100 is 350, or two decimal places to the right. 12 times x is 12x. Now we can solve for x.

12x=350

divide 12 on both sides to isolate x.

350 divided by 12 is 29.1666667

so 3.5 is 29.66666667 of 12.
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An ongoing promotion at a department store gives customers 20\%20%20, percent off the portion of their bill that is over \$100$1
gtnhenbr [62]

The equation best models the situation 100 + 0.8(x - 100) = 250.

The correct option is (D)

<h3>What is equation?</h3>

An equation in math is an equality relationship between two expressions written on both sides of the equal to sign.

The complete question is:

An ongoing promotion at a department store gives customers 20% off the portion of their bill that is over $100. Ruby's total bill at the department store after the promotion has been applied is $250. If x represents the amount of money Ruby would have spent on the same purchase at the department store without the promotion, which of the following equations best models the situation?

A. 0.2x + 100 = 250

B. 0.8x + 100 = 250

C. 100 + 0.2(x - 100) = 250

D. 100 + 0.8(x - 100) = 250

Given:

Department store gives 20 % off the portion of the bill that is over 100 dollars.

Total bill = 250

let x is the amount of money she would have spent without the promotion.

Then, cost after discount applies = 0.8 ( x - 100 ).

Hence, the equation is 100 + 0.8 (x - 100) = 250.

Learn more this concept here:

brainly.com/question/10952401

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7 0
2 years ago
Jackie is practicing free throws after basketball practice. She makes a free throw shot with probability 0.7. She takes 20 shots
Sergeu [11.5K]

Answer:

n = 20 q = 0.7, q = 0.3

Step-by-step explanation:

For each shot that she takes, there are only two possible outcomes. Either she makes or, she does not make is. The probability of making each shot is independent from other shots. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

We also ahve that q = 1-p.

Jackie is practicing free throws after basketball practice. She makes a free throw shot with probability 0.7.

This means that p = 0.7 and q = 1-p = 0.3

She takes 20 shots.

This means that n = 20

So the correct answer is:

n = 20 q = 0.7, q = 0.3

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3 years ago
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