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vodka [1.7K]
3 years ago
9

Which of the following shows the cost, gratuity percent, and tax percent rounded correctly in order to make a reasonable estimat

e? Cost: $40; Gratuity: 20%; Tax: 0% Cost: $40; Gratuity: 20%; Tax: 10% Cost: $50; Gratuity: 10%; Tax: 10% Cost: $50; Gratuity: 20%; Tax: 10%
Mathematics
2 answers:
monitta3 years ago
5 0

The correct answer is B

IgorLugansk [536]3 years ago
4 0

Answer: b

Step-by-step explanation:

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Greta is trying to determine the portion of green candies in various bags of green and yellow candies. Using the information bel
IrinaK [193]

Answer: a) \dfrac{1}{3} b) \dfrac{71}{100} c) \dfrac{5}{9}

Step-by-step explanation:

Since we have given that

There are green and yellow candies in each bag.

Bag A: Two thirds of the candies are yellow. What portion of the candies is green?

Part of yellow candies in bag A = \dfrac{2}{3}

Part of green candies in bag A would be

1-\dfrac{2}{3}\\\\=\dfrac{3-2}{3}\\\\=\dfrac{1}{3}

Bag B: 29 % of the candies are yellow. What portion of the candies is green?

Percentage of candies are yellow = 29%

Portion of candies are green is given by

1-\dfrac{29}{100}\\\\=1-0.29\\\\=0.71\\\\=\dfrac{71}{100}

Bag C: 4 out of every 9 candies are yellow. What portion of the candies is green?

Portion of yellow candies = \dfrac{4}{9}

Portion of green candies would be

1-\dfrac{4}{9}\\\\=\dfrac{9-4}{9}\\\\=\dfrac{5}{9}

Hence, a) \dfrac{1}{3} b) \dfrac{71}{100} c) \dfrac{5}{9}

6 0
3 years ago
How many elements are in the union of five sets if the sets contain 10,000 elements each, each pair of sets has 1000 common elem
masya89 [10]

Answer:

40951

Step-by-step explanation:

Using the principles of inclusion - Exclusion

Where C(n,r)=n!/(n-r)!r!

Total elements in the five sets including number repetition is given as (10000)×C(5, 1) =10000× 5!/(5-1)!1!=10000×5=50000

Total Number of elements in each pair including number repetition of sets is given as

=(1000) × C(5, 2) =10000

Number of elements in each triple of sets is given as

=(100) × C(5, 3) =1000

Number of elements in every four sets

=(10) × C(5, 4)=50

Number of elements in every one set

(1) × C(5, 5)=1

Therefore total number of unique elements=50000-10000+1000-50+1

=40951

5 0
3 years ago
Which relation is a function? {(1, 2), (2,4), (−1, 2), (0,3)}
Georgia [21]

Answer:

The last one :{(5, 0), (0, 1), (5, 2), (4,4)}

Step-by-step explanation:


8 0
3 years ago
What does supplementary mean and how do you know if angles are supplementary
IRISSAK [1]

Answer:

Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because sum of 130° and 50° is equal to 180°.

Step-by-step explanation:

6 0
2 years ago
Four times the number of coins in my pocket plus five more is twenty-nine. Write an equation for the number of coins in my pocke
Lynna [10]
There are six coins already in pocket, but let’s say we don’t know it.

We would figure it out by reversing the problem. Let’s start with twenty-nine. We would subtract 5, because we are reversing. Now we have 24. Now, let’s divide by four. We would get 6.

A simpler answer would be 29 - 5 [divided by] 4 = [answer]
4 0
3 years ago
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