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2 years ago

Luna entered a raffle for a new pair of running shoes. She purchased 20 tickets and was told that she had a 20%

Mathematics

2 answers:

anyanavicka [17]2 years ago

8 0

Answer:

100 tickets were sold.

Step-by-step explanation:

If she bought 20 tickets and had a 20 percent chance of winning that means there were 100 sold tickets because 20 percent of 100 would be the 20 tickets she purchased.

adell [148]2 years ago

6 0

Answer:

100

Step-by-step explanation:

i got it right on edu

You might be interested in

casey is six time as old as Ralph, In two years, she will be four time as old as Ralph. How old is each of them now?

Keith_Richards [23]

Casey is 18 years old and Ralph is 3 years old.

Step-by-step explanation:

Let,

Age of Casey = x

Age of Ralph = y

According to given statement;

x = 6y Eqn 1

In two years

x+2=4(y+2)

x+2=4y+8

x = 4y+8-2

x = 4y+6 Eqn 2

Putting value of x from Eqn 1 in Eqn 2

$6y=4y+6 \\6y-4y=6\\2y=6$

Dividing both sides by 2

$\frac{2y}{2}=\frac{6}{2}\\y=3$

Putting y=3 in Eqn 1

$x=6(3)\\x=18$

Casey is 18 years old and Ralph is 3 years old.

Keywords: word problems, substitution method

Learn more about substitution method at:

#LearnwithBrainly

7 0

3 years ago

EF is the median of trapezoid ABCD.

BARSIC [14]

Answer:

Part A) $x = 11$

B) length of BC = x + 12 = x + 12 = 11 + 12 =23

length of EF = 4x - 18 = 4(11) - 18 = 44 - 18 =26

length of AD = 3x - 18 = 3(11) - 4 = 33 - 4 =29

Step-by-step explanation:

Median of trapezium is $m=\frac{base1+base2}{2}$

In provided figure, base1 is x+12 and base2 is 3x-4

A) solve for value of x

calculate the median $m=\frac{base1+base2}{2}$

$4x-18=\frac{x+12+3x-4}{2}$

$4x-18=\frac{4x+8}{2}$

$4x-18=2x+4$

$2x-18=4$

$2x = 18 + 4$

$2x = 22$

$x = 11$

B) To find the length of BC, AD and EF , put the value of x in equation of lines

length of BC = x + 12 = x + 12 = 11 + 12 =23

length of EF = 4x - 18 = 4(11) - 18 = 44 - 18 =26

length of AD = 3x - 4 = 3(11) - 4 = 33 - 4 =29

5 0

3 years ago

Stacy and Neil painted 280 ft of their living room wall with 4/5 gallon of paint. How many square feet can they paint with 3 gal

barxatty [35]

Step-by-step explanation:

4/5 gallons for 280 ft² (the ² is missing in the question ...).

3 gallons would be 15/5.

so, what do I need to multiply 4 with to get 15 ?

4×x = 15

x = 15/4

multiplying now also 280 ft² with this factor gives us the answer :

280 × 15/4 = 70 × 15 = 1050 ft²

they can paint 1050 ft² with 3 gallons of paint.

6 0

2 years ago

Each day, Robin commutes to work by bike with probability 0.4 and by walking with probability 0.6. When biking to work injuries

kvasek [131]

Answer:

64.65% probability of at least one injury commuting to work in the next 20 years

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}
$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

Each day:

Bikes to work with probability 0.4.

If he bikes to work, 0.1 injuries per year.

Walks to work with probability 0.6.

If he walks to work, 0.02 injuries per year.

20 years.

$\mu = 20*(0.4*0.1 + 0.6*0.02) = 1.04$

Either he suffers no injuries, or he suffer at least one injury. The sum of the probabilities of these events is decimal 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want $P(X \geq 1)$ . Then

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}
$

$P(X = 0) = \frac{e^{-1.04}*1.04^{0}}{(0)!} = 0.3535
$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.3535 = 0.6465$

64.65% probability of at least one injury commuting to work in the next 20 years

3 0

3 years ago

Solve the equation above

saveliy_v [14]

Answer:

X = -2

Step-by-step explanation:

1/2 X (5X-8) = -9

multiply both sides of the equation by 2

2 X 1/2 X (5X - 8) = 2 X (-9)

1 X (5X - 8) = 2 X (-9)

Reduce the numbers with the greatest common divisor 2

5 x -8 = 2 x (-9)

5 x -8 = -18

Move constant to the right by adding its opposite to both sides

5X -8 + 8=-18 + 8

Then eliminate the opposites

5X = -18 + 8

Calculate the sum

5X = -10

Divide both sides of the equation by 5

5X DIVIDE 5 = -10 DIVIDE BY 5

X = -10 DIVIDE BY 5

X = -2

5 0

3 years ago