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3 years ago

Tristan is 22 years younger than Sydney. 8 years ago, Sydney's age was 2 times Tristan's age. How old is Tristan now?

Mathematics

1 answer:

Serjik [45]3 years ago

4 0

Answer:

Sydney is 52 years old, and Tristan is 30.

Step-by-step explanation:

Represent Tristan's age by t and Sydney's by s.

Then s - 8 = 2(t - 8), and t = s - 22

Substituting s - 22 in the first equation, we get:

s - 8 = 2(s - 22 - 8), or

s - 8 = 2s - 60

Solving for s: -2s + s = -60 + 8, or -s = -52.

Sydney is 52 years old, and Tristan is 30.

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Angelique travels 75 miles. Jamila travels 115 kilometres. Show that Angelique has travelled futher than Jamila.

jasenka [17]

Answer:

Step-by-step explanation:

-we know :

we must have the <u>same unit</u> on the distance traveled in order to be able to compare distances

1 mile = 1.6 kilometers

-Angelique traveled 75 miles ( 120 kilometers)

75 miles = 1.6 *75 = 120 kilometers

-Jamila traveled 115 kilometers is given in the problem

-Angelique has travelled further than Jamila because

120 kilometers > 115 kilometers

8 0

2 years ago

A casino knows that people play slot machines in hopes of hitting the jackpot but that most of them lose their dollar. Suppose t

liraira [26]

Answer:

A) Gamblers lose a relatively small amount most of the time but there are a few large pay-outs

B) if person play 5 times, the mean of the casino's profit is $0.04

if person play 5 times, the standard deviation of the casino's profit i$268.33

C) If gamblers play this machine 1000 times in a day, the mean is $80

If gamblers play this machine 1000 times in a day, the standard deviation is $3794.3

D) Yes

Step-by-step explanation:

From the details given , it is observed that a casino knows that people play the soft machines in hopes of hitting the jackpot but most of them lose their dollars

There is a certain machine that pays out an average of $0.92 with standard deviation of $120

A) The standard deviation is so large because, Gamblers lose a relatively small amount most of the time but there are a few large pay-outs

B) if person play 5 times, the mean of the casino's profit is

E(x) = ( 1 - $0.92) x 5

= $0.04

if person play 5 times, the standard deviation of the casino's profit is

S(3x) = √120² x 5

= $268.33

C) If gamblers play this machine 1000 times in a day, the mean is

E(x) = ( 1 - $0.92) x 1000

= $80

If gamblers play this machine 1000 times in a day, the standard deviation is

S(x) = √120² x 1000

= $3794.3

D) The casino is likely to be profitable due to the average pays out winning jackpot in slot machines occur very less in $0.29, so more people play winning jackpot in slot machines in casino, the casino will become more profitable.

8 0

3 years ago

I need help with this one Eight cookies cost $12. At this rate, how much will 10 cookies cost?

mr Goodwill [35]

Answer:

$15

Step-by-step explanation:

12/8 = 1.5 = 1.50 per cookie

1.50* 10 = 15

3 0

3 years ago

A grocery store clerk put only cans of tomato soup and cans of chicken soup on a shelf. The ratio of the number of cans of chick

larisa [96]

Answer:

9 cans of tomato soup

Step-by-step explanation:

We are told that only cans of tomato soup and cans of chicken soup are put on the shelf.

Now, we are told that the ratio of the number of cans of chicken noodle soup to the total number of cans on the shelf was 8 to 17.

In fraction, this is 8/17

Now, this implies that there are 8 cans of chicken noodle soup while there are a total of 17 cans on the shelf.

Thus,

Since only cans of chicken noodles and cans of tomato soup are on the shelf, it means;

Cans of tomato soup = 17 - 8 = 9

8 0

3 years ago

Select all that apply.

Nina [5.8K]

Step-by-step explanation:

In parallelogram Both pairs of opposite sides are parallel

3 0

3 years ago