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Naya [18.7K]
3 years ago
10

A group of friends went to the movies. They shared 2 bags of popcorn equally. If each person got 2/3 of a bag of popcorn, how ma

ny people were in the group?
Mathematics
1 answer:
Gemiola [76]3 years ago
4 0

Answer:

There would have been three people in the group.

Step-by-step explanation:

This is because if you add 2/3 together until you get that amount, it will add up to having three people. If this sounds confusing, here is a visual thing to help.

2/3+2/3=4/3 which can also equal 1 1/3

1 1/3 + 2/3 =2

you added 2/3 together three times to get two, so three is the answer.

Hope this helps!

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Represents the distance between -12 and -5 on a number line?
aivan3 [116]
7 units between -12 and -5
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3 years ago
What value(s) of x will make x to the 2nd power =9 true​
Anastaziya [24]

Answer:

x = 3 , X = -3

In x 2 = 9 , you need to get rid of the power of 2 in order to isolate just x This involves finding the square root. √ x 2 = x However there are 2 possible answers to a square root, a positive or a negative answer. x = ± √ 9 x = ± 3

3 0
3 years ago
An ostrich that is 100 inches tall is 15 inches taller than 5 times the height of a kiwi. What is the height of a kiwi in inches
Nady [450]

just follow the steps:

100-15 since it's 15 inches taller

=85

85/5 since it's 5 times the height of the kiwi

=17

The kiwi is 17 inches tall

7 0
3 years ago
Read 2 more answers
PLEASE SOLVE IT<br>DONT STEAL POINYS!! ​
Leviafan [203]

Answer:

A) 3

Step-by-step explanation:

<h2>Method 1)</h2>

Ques: 30/(4√3 + 3√2) = 4√3 - a√2

Rationalise the denominator.

→ 30/(4√3 + 3√2) × (4√3 - 3√2)/(4√3 - 3√2) = 4√3 - a√2

→ (120√3 - 90√2)/(48 - 18) = 4√3 - a√2

→ (120√3 - 90√2)/30 = 4√3 - a√2

→ 120√3 - 90√2 = 120√3 - 30a√2

→ 90√2 = 30a√2

On solving we get,

→ a = 3

<h2>Method 2)</h2>

Ques: 30/(4√3 + 3√2) = 4√3 - a√2

→ 30 = 4√3(4√3) + 4√3(-a√2) + 3√2(4√3) + 3√2(-a√2)

Solve the brackets,

→ 30 = 48 - 4a√6 + 12√6 - 6a

→ - 18 = - 4a√6 - 12√6 - 6a

Put like terms on one side,

→ - 18 + 6a = - 4√6 (a + 3)

Take the common,

→ 3(a - 3) = - 2√6 (a + 3)

→ 3 (a - 3) = 2√6 (-a - 3)

→ [3(a - 3)]/2√6 = - a - 3

Rationalise the denominator,

→ 2√6(3a - 9)/24 = - a - 3

→ (3a√6 - 9√6)/12 = - a - 3

→ √6(a - 3) = - 4a - 12

Do squaring on both sides,

→ [√6(a - 3)]² = - (4a + 12)²

→ 6(a² + 9 - 6a) = - (16a² + 144 + 96a)

Solve the brackets,

→ 6a² + 54 - 36a =  - 16a² - 144 - 96a

→ 22a² - 132a + 198 = 0

→ 11a² - 66a + 99 = 0

→ a² - 6a + 9 = 0

Split the middle term,

→ a² - 3a - 3a + 9 = 0

→ a(a - 3) -3(a - 3) = 0

→ (a - 3)(a - 3) = 0

On comparing we get,

→ a = 3 (key to solve this and similar questions is rationalisation of the denominator)

Hence, the correct option is option A) 3.

3 0
2 years ago
Gustavo also went to the same store and has a 30% off
lutik1710 [3]

Answer:

Original Price was $27.00

Step-by-step explanation:

27*.30=8.10

7 0
3 years ago
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