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3 years ago

Tickets to the Biggest Loser Contest cost

Mathematics

1 answer:

Arada [10]3 years ago

7 0

Answer:

50 children's tickets were sold.

Step-by-step explanation:

Given:

Tickets to the Biggest Loser Contest cost $3.00 for children and $4.50 for

adults. If 225 tickets were sold for a total of $937.50.

Now, to get the children's tickets sold.

Let the number of children tickets be $x.$

And let the number of adult tickets be $y.$

So, the total number of tickets sold:

$x+y=225\\\\y=225-x\ \ \ ....(1)$

Now, the total amount of the tickets sold:

$3.00(x)+4.50(y)=937.50$

Substituting the value of $y$ from equation (1) we get:

$3.00(x)+4.50(225-x)=937.50$

$3x+1012.50-4.50x=937.50$

$1012.50-1.50x=937.50$

Subtracting both sides by 1012.50 we get:

$-1.50x=-75$

Dividing both sides by -1.50 we get:

$x=50.$

The number of children tickets = 50.

Therefore, 50 children's tickets were sold.

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there are 5 cookies on a plate. Alicia eats 1 1/2 cookies stuart eats 2 1/3 cookies how many cookies are left on the plate?

MAXImum [283]

Step-by-step explanation:

Alicia eats 1 and 1/2 (Which means 1 cookie and a half of a cookie, or 0.5.)

Stuart eats 2 and 1/3 (Which means 2 cookies and one third of a cookie, or 0.3333+. Basically, 1/3 means let's say you have a pie. You cut the pie into 3 separate pieces. You eat 2 seperate pieces. You have one left. You have one out of the three, which means 1/3.)

So, you want to add both of those up.

1 + 2 = 3

1/2 + 1/3

To add fractions, you have to get the denominators (Bottom number of the fraction) equal.

So, the least common multiple (LCM) is 6.

Why? let's lay them out.

2: 2, 4, 6

3: 3, 6

These are the LEAST common multiple.

So, you should have

1/6 and 1/6.

Now add the amount of times you did to the numerator (Top number)

So, 1/2

2 + 2 + 2 = 6

3 times, so multiply the numerator by 3.

1 x 3 = 3

3/6

So next, 1/3.

3 + 3 = 6

2 times, so multiply the numerator by 2.

2/6.

Add them both

2/6 + 3/6 = 5/6 (Do not add denominator if they are equal)

+ 3

3 and 5/6 cookies eaten, so

5 - 3 5/6 = 1 & 1/6

1 and 1/6 cookies are left on the plate.

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3 years ago

Choose an expression that is equivalent to (-2)^4/(-2)^2. out of these

Marianna [84]

The expression that is equivalent to (-2)^4/(-2)^2 is (-2)^6/(-2)^4

<h3>How to determine the expression that is equivalent to (-2)^4/(-2)^2?</h3>

The expression is given as:

(-2)^4/(-2)^2

Apply the law of indices

(-2)^4/(-2)^2 = (-2)^(4 -2)

4 - 2 has the same value as 6 - 4

So, we have:

(-2)^4/(-2)^2 = (-2)^(6-4)

Apply the law of indices

(-2)^4/(-2)^2 = (-2)^6/(-2)^4

Hence, the expression that is equivalent to (-2)^4/(-2)^2 is (-2)^6/(-2)^4

Read more about equivalent expressions at:

brainly.com/question/2972832

#SPJ1

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2 years ago

A map has a scale factor of 1cm:600m.

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The answer is 6 cm. The scale is 1cm:60,000cm. When you take 3.6 and divide it by 60,000 you get 0.00006km on the map. This then converts to 6 centimeters on the map. Just remember: King Henry Doesn't Usually Drink Chocolate Milk.

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3 years ago

Wuts 20x306 i dont noo it

Ganezh [65]

Answer:

6120

Step-by-step explanation:

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3 years ago

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Candice is preparing for her final exam in Statistics. She knows she needs an 65 out of 100 to earn an A overall in the course.

sertanlavr [38]

Answer:

a. 72

b. 816

c. 570

d. 30

Step-by-step explanation:

Given the graph is a bell - shaped curve. So, we understand that this is a normal distribution and that the bell - shaped curve is a symmetric curve.

Please refer the figure for a better understanding.

a. In a normal distribution, Mean = Median = Mode

Therefore, Median = Mean = 72

b. We have to know that 68% of the values are within the first standard deviation of the mean.

i.e., 68% values are between Mean Standard Deviation (SD).

Scores between 63 and 81 :

Note that 72 - 9 = 63 and

72 + 9 = 81

This implies scores between 63 and 81 constitute 68% of the values, 34% each, since the curve is symmetric.

Now, Scores between 63 and 81 =

= 68 X 12 = 816.

That means 816 students have scored between 63 and 81.

c. We have to know that 95% of the values lie between second Standard Deviation of the mean.

i.e., 95% values are between Mean 2(SD).

Note that 90 = 72 + 2(9) = 72 + 18

Also, 54 = 63 - 18.

Scores between 54 and 90 totally constitute 95% of the values. So, Scores between 72 and 90 should amount to of the values.

Therefore, Scores between 72 and 90 =

= 570.

That is a total of 570 students scored between 72 and 90.

d. We have to know that 5 % of the values lie on the thirst standard Deviation of the mean.

In this case, 5 % of the values lie between below 54 and above 90.

Since, we are asked to find scores below 54. It should be 2.5% of the values.

So, Scores below 54 =

= 2.5 X 12 = 30.

That is, 30 students have scored below 54.

Step-by-step explanation:

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3 years ago

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