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earnstyle [38]
3 years ago
6

A group of 40 people went to the theme park. While there, each person bought popcorn. Regular bags of popcorn sold for $6 per ba

g. Super size sold for $8 per bag. The group's popcorn bill was $286.
Mathematics
1 answer:
Y_Kistochka [10]3 years ago
4 0

Answer:

17 regular popcorn bags and 23 super size bags.

Step-by-step explanation:

A group of 40 people went to the theme park. While there, each person bought popcorn.

Let the regular popcorn bags be = x

Let the super size bags be = y

x+y=40        ................(1)

Next equation becomes:

6x+8y=286        ...............(2)

Multiplying (1) by 6 : 6x+6y=240

Now subtracting this from (2) we get,

2y=46

=> y = 23

And x = 40-23

=> x = 17

So, there were 17 regular popcorn bags and 23 super size bags that the group bought.

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Tatiana [17]

Answer:

e. R′

Step-by-step explanation:

Let the Sample Space be a universal set consisting of 3 red  and 6 blue cards. Then the event of  of getting 4 blue cards will be given

R complement = R` = Universal Set minus Red cards will give blue cards.

a. R OR O

It cannot be this option because we need 4 blue card

b. B AND O

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c. R OR E

4 is even but we need blue

d. R AND O

Red and odd is again not required

e. R′  = It  will give our required result.

f. E′= 4 is even if it is complemented it cannot be obtained and will be left out.

5 0
3 years ago
Find the difference:<br> x+1/x-1 minus x-8/x-1
PolarNik [594]

Answer: 9/x-1

Step-by-step explanation:

Sine you are subtracting,

x-x=o

1- -8 =9 since subtracting a negative is adding a positive.

So the answer is 9/x-1

6 0
3 years ago
Read 2 more answers
Sam is 5 years older than Mike. In 6 years, Mike will be 7 more than half of Sam's age. How old is Sam now?
9966 [12]
The Correct answer is B.18
5 0
2 years ago
Which case would be the most appropriate
AleksAgata [21]

Answer:

Case (c) will be the most appropriate  for a drum with a volume of 14,000 cm³

Step-by-step explanation:

The drum is in the shape of cylinder so, we will calculated its volume using formula :<u> V = πr²h</u> , where r is radius of cylinder and h is height of cylinder.

In case (a) Given height is 300mm ( 30 cm ) and diameter is 200mm ( 20 cm )

so, radius ( r ) is calculated as d/2

r = 20/2

r = 10 cm

so, volume is V = πr²h = (3.14)*(10)²*30 = 9420 cm³

In case (b) Given height is 30 cm and diameter is 400mm ( 40 cm )

so, radius ( r ) is calculated as d/2

r = 40/2

r = 20 cm

so, volume is V = πr²h = (3.14)*(20)²*30 = 37680 cm³

In case (c) Given height is 250mm ( 25 cm ) and diameter is  32 cm

so, radius ( r ) is calculated as d/2

r = 32/2

r = 16 cm

so, volume is V = πr²h = (3.14)*(16)²*25 = 20096 cm³

Hence, the case (c) will be the most appropriate  for a drum with a volume of 14,000 cm³

4 0
3 years ago
What type of triangle is triangle ABC give reasons for your answer help please I need 1 more mark But I don't know what I'm doin
ladessa [460]

Answer: isosceles

Step-by-step explanation:

By the alternate interior angles theorem, \angle CAB=50^{\circ}

Since angles in a triangle add to 180 degrees, \angle ACB=180^{\circ}-80^{\circ}-50^{\circ}=50^{\circ}

Since sides opposite equal angles in a triangle are equal, AB=BC.

So, triangle ABC is <u>isosceles</u>

7 0
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