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lesantik [10]
3 years ago
10

Five friends attend a matinee movie and spend $8 per ticket. They also purchase a small bag of popcorn each. If the friends spen

d a total of $62.50, how much does each small bag of popcorn cost?
Mathematics
2 answers:
Amiraneli [1.4K]3 years ago
8 0
$4.50 because 8x5 ( friends times tickets) is 40 and 62.50-40 ( total cost minus money spent for tickets ) is 22.50 so 22.50/5 ( money left over divided by number of friends ) is $4.50
Romashka [77]3 years ago
8 0
So if 5 friends bought one ticket each which was $8 a ticket means that they spent $40 alone on tickets. But you know that they spent $62.50 all together as a group. So with that being said to find out how much they spent all together as a group on popcorn you want to subtract $62.50 From $40.00.  Which equals $22.50. But to find out how much they spent separately on one bag each you want to divide $22.50 by 5 to get the answer you are looking for which is $4.50 on one small bag of popcorn each. I hope i helped!
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An obtuse triangle has two angles 45 n 18 ,and a third unknown angle theta what's the value of the unknown angle​
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<u>Answer:</u>

An obtuse triangle has two angles 45 and 18. The value of the unknown angle is 117^{\circ}

<u>Solution:</u>

Given that two angles of an obtuse triangle is 45 and 18.  

Third angle is θ  

We are asked to find the value of third unknown angle theta

According to <em>angle sum property of triangle</em>, sum of three angles of triangle is 180^{\circ}

This means in our case sum of 45, 18 and θ should be 180^{\circ}

\begin{array}{l}{=>45+18+\theta=180} \\ {=>\theta=180-63=117^{\circ}}\end{array}

Hence value of unknown third angle of an obtuse triangle is 117^{\circ}

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What is the vertex of y=-3x^2+6x+15? Help is much appreciated.
DENIUS [597]

Answer:

<u>(1, 18)</u>

Step-by-step explanation:

Rewrite the equation in vertex form by completing the square for -3x^2 + 6x + 15. This = -3(x - 1)^2 + 18.

Set y equal to the new right side.

y = -3(x - 1)

Use the vertex form, y = a(x - h)^2 + k, to determine the values of a, h, and k.

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5 0
3 years ago
Callie has a new kitten. They can weigh 3 pounds less than half the weight of Callie‘s cat. Together the cat and kitten weigh 18
gavmur [86]

Answer:

The weight of cat is <u>14 pounds</u> and the weight of kitten is <u>4 pounds</u>.

Step-by-step explanation:

Given:

Callie has a new kitten. It can weigh 3 pounds less than half the weight of Callie‘s cat. Together the cat and kitten weigh 18 pounds.

Now, to find the weight of each animal:

Let the cat's weight be x.

And the kitten weight = \frac{x}{2} -3

Total weight of cat and kitten = 18 pounds.

Now, to set an equation to get the weight of each animal:

(x)+(\frac{x}{2}-3)=18

x+\frac{x}{2} -3=18

\frac{2x+x-6}{2} =18

\frac{3x-6}{2} =18

<em>Multiplying both sides by 2 we get:</em>

<em />3x-6=36<em />

<em>Adding both sides by 6 we get:</em>

<em />3x=42<em />

<em>Dividing both sides by 3 we get:</em>

<em />x=14\ pounds.<em />

<em>The weight of cat = 14 pounds.</em>

Substituting the value of x to get the kitten's weight:

\frac{x}{2} -3\\\\=\frac{14}{2}-3\\\\=7-3\\\\=4.

<em>The kitten's weight = 4 pounds.</em>

Therefore, the weight of cat is 14 pounds and the weight of kitten is 4 pounds.

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3 years ago
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