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2 years ago

At my birthday party, the girls ate 3 pizzas and the boys at 5 pizzas. How much more pizza did the boys eat than the girls?

Mathematics

2 answers:

ipn [44]2 years ago

8 0

Answer: The boys ate 2 more pizza's than the girls.

Step-by-step explanation:

Girls = 3 pizzas

Boys = 5 pizzas

Now subtract them:

5 - 3 = 2

stealth61 [152]2 years ago

7 0

Answer:

the answer is 2

Step-by-step explanation:

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The 65 students in a classical music lecture class were polled, with the following results: 37 like Wolfgang Amadeus Mozart 36 l

Anna35 [415]

Answer:

a) 25

b) 30

c) 10

d) Not Mozart, 6

e) 2

Step-by-step explanation:

We use a Venn Diagram to solve this question.

I am going to say that:

A are the students who like Mozart.

B are the students who like Beethoven

C are the students who like Haydn.

We have that:

$A = a + (A \cap B) + (A \cap C) + (A \cap B \cap C)$

In which a are those who only like Mozart, $(A \cap B)$ are those who like Mozart and Beethoven, $(A \cap C)$ are those who like Mozart and Haydn and $(A \cap B \cap C)$ are those who like all three of them.

By the same logic, we have that:

$B = b + (A \cap B) + (B \cap C) + (A \cap B \cap C)$

$C = c + (B \cap C) + (A \cap C) + (A \cap B \cap C)$

We start finding these values from the intersection:

8 like all three composers

This means that $A \cap B \cap C = 8$

14 like Beethoven and Haydn

This means that:

$(B \cap C) + (A \cap B \cap C) = 14$

$B \cap C = 6$

21 like Mozart and Haydn

This means that:

$(A \cap C) + (A \cap B \cap C) = 21$

Then

$A \cap C = 13$

14 like Mozart and Beethoven

This means that:

$(A \cap B) + (A \cap B \cap C) = 14$

$A \cap B = 6$

31 like Franz Joseph Haydn

This means that C = 31. So

$C = c + (B \cap C) + (A \cap C) + (A \cap B \cap C)$

$31 = c + 6 + 13 + 8$

$c = 4$

36 like Ludwig van Beethoven

This means that $B = 36$

$B = b + (A \cap B) + (B \cap C) + (A \cap B \cap C)$

$36 = b + 6 + 6 + 8$

$b = 16$

37 like Wolfgang Amadeus Mozart

This means that A = 37. Then

$A = a + (A \cap B) + (A \cap C) + (A \cap B \cap C)$

$37 = a + 6 + 13 + 8$

$a = 10$

a. exactly two of these composers?

$(A \cap B) + (A \cap C) + (B \cap C) = 6 + 13 + 6 = 25$

b. exactly one of these composers?

$a + b + c = 10 + 16 + 4 = 30$

c. like only Mozart?

$a = 10$

d. like Beethoven and Haydn, but not Beethoven?

I will use not Mozart.

So $B \cap C = 6$

Not Mozart, 6.

e. like none of these composers?

At least 1:

$(A \cup B \cup C) = a + b + c + (A \cap B) + (A \cap C) + (B \cap C) + (A \cap B \cap C) = 10 + 16 + 4 + 6 + 13 + 6 + 8 = 63$

The total is 65

So 65 - 63 = 2 like none of these composers

4 0

2 years ago

Two hot air balloons are flying above a park. One balloon started at a height of 3,000 feet above the ground and is decreasing i

Ira Lisetskai [31]

Answer:

A. h=3,000-40m
h=1,200+50m

Step-by-step explanation:

<u>Height of the first balloon:</u>

h = 3000 - 40m

<u>Height of the second balloon:</u>

h = 1200 + 50m

Correct option is A.

8 0

2 years ago

Read 2 more answers

Which rule would result in a clockwise rotation of 90° about the origin?

soldi70 [24.7K]

A : x, y -> x, -y

Could jaut look this up

6 0

2 years ago

1/2r−3=3(4−3/2r) plzzzzzzz help!

LUCKY_DIMON [66]

Answer:
r= 3

Explanation:
1. Write the division as a fraction
1/2r-3=3(4-3/2r)

2.Distribute the 3 through the paranthesis
1/2r-3=12-9/2r

3.Multiply both sides by 2
r-6=24-9r

4. Swap -6 and -9 together by changing their signs
r+9r= 24+6

5.Add them together
10r=30

6. Divide both sides by 10
r=10

Hope this helped :)

4 0

3 years ago

PLEASE HELP

den301095 [7]

Answer:

Option A

Step-by-step explanation:

multiple each coordinate by 1/2

8 0

3 years ago