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4 years ago

A standard six sided number cube is rolled and a coin is tossed. What is the probability that the cube shows 3 and the coin is t

ails?

Mathematics

1 answer:

allochka39001 [22]4 years ago

8 0

$|\Omega|=6\cdot2=12\\
|A|=1\\\\
P(A)=\dfrac{1}{12}\approx8\%$

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Which rectangle is similar rstu

Elenna [48]

I want to say efgh but im not 100 percent sure

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3 years ago

Read 2 more answers

Regal theater in Tikahtnu sold 548 tickets to Moana on Sunday. A adult’s ticket was $6.50 while a child’s ticket was $3.50. In t

irga5000 [103]

Regal theater sold 321 adult tickets and 227 children tickets.

Step-by-step explanation:

Given,

Cost of each adult ticket = $6.50

Cost of each child's ticket = $3.50

Total tickets sold = 548

Total worth of sold tickets = $2881

Let,

x represent the number of adult tickets sold

y represent the number of child tickets sold

According to given statement;

x+y=548 Eqn 1

6.50x+3.50y=2881 Eqn 2

Multiplying Eqn 1 by 6.50

$6.50(x+y=548)\\6.50x+6.50y=3562\ \ \ Eqn\ 3$

Subtracting Eqn 2 from Eqn 3

$(6.50x+6.50y)-(6.50x-3.50y)=3562-2881\\6.50x+6.50y-6.50x-3.50y=681\\3y=681$

Dividing both sides by 3

$\frac{3y}{3}=\frac{681}{3}\\y=227$

Putting y=227 in Eqn 1

$x+227=548\\x=548-227\\x=321$

Regal theater sold 321 adult tickets and 227 children tickets.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

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3 years ago

15x^2 + 41x + 28 <br><br>STEP BY STEP ANSWER PLSSS

maria [59]

Answer:

(3x+4)(5x+7)

Step-by-step explanation:

15x^2 +41x+28

Factor the expression by grouping. First, the expression needs to be rewritten as 15x^2 +ax+bx+28. To find a and b, set up a system to be solved.

a+b=41

ab=15×28=420

Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 420.

1,420

2,210

3,140

4,105

5,84

6,70

7,60

10,42

12,35

14,30

15,28

20,21

Calculate the sum for each pair.

1+420=421

2+210=212

3+140=143

4+105=109

5+84=89

6+70=76

7+60=67

10+42=52

12+35=47

14+30=44

15+28=43

20+21=41

The solution is the pair that gives sum 41.

a=20

b=21

Rewrite 15x^2 +41x+28 as (15x^2 +20x)+(21x+28).

(15x^2 +20x)+(21x+28)

Factor out 5x in the first and 7 in the second group.

5x(3x+4)+7(3x+4)

Factor out common term 3x+4 by using distributive property.

(3x+4)(5x+7)

7 0

3 years ago

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Orange ribbon 2 meters long. The blue ribbon was 4/5 as long ad the orange. Linda cuts off a piece of blue ribbon. The length of

masha68 [24]

The initial length of the blue ribbon = 1.6 meters

Step-by-step explanation:

Here, according to the question:

The initial length of orange ribbon = 2 meters

Let us assume the initial length of blue ribbon = S meters

Now, the length of blue ribbon = (4/5) times the length of orange ribbon

$\implies S =( \frac{4}{5})$ x Length of Orange ribbon

$\implies S = (\frac{4}{5}) \times 2 = 1.6$

or S = 1.6 meters

Hence, the initial length of the blue ribbon is 1.6 meters.

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3 years ago

If the ratio of areas is 81:1, then the ratio of the volumes is

Alchen [17]

Answer:

729:1

Step-by-step explanation:

6 0

3 years ago