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Aleksandr-060686 [28]
3 years ago
14

5. Guests are given a random goodie bag at a party. There are less than 15 bags, but more than 8. Part A: How many bags were pre

pared? Explain your answer. * Goodie bag contents ½ of the bags contain money ⅙ of the bags contain candy ⅓ of the bags contain a toy
Mathematics
1 answer:
Artemon [7]3 years ago
4 0

Answer:

  • 12 bags

Step-by-step explanation:

Number of the bags = between 8 and 15  and

  • 1/2 of bags contain money
  • 1/6 of bags contain candy
  • 1/3 of bags contain a toy

As per above the number is divisible by 2, 3 and 6. LCM of the three numbers is 6.

<u> The number between 8 and 15 and divisible by 6:</u>

  • This number is 6*2 = 12

So the number of bags is 12

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Will give brainliest, please help fast​
Gekata [30.6K]

Answer:

Converting the equation x^2-20x+13=0 into completing the square method we get: \mathbf{(x-10)^2=87}

Step-by-step explanation:

we are given quadratic equation: x^2-20x+13=0

And we need to convert it into completing the square method.

Completing the square method is of form: a^2-2ab+b^2=(a-b)^2

Looking at the given equation x^2-20x+13=0

We have a = x

then we have middle term 20x that can be written in form of 2ab So, we have a=x and b=? Multiplying 10 with 2 we get 20 so, we can say that b = 20

So, 20x in form of 2ab can be written as:  2(x)(10)

So, we need to add and subtract (10)^2 on both sides

x^2-20x+13=0\\x^2-2(x)(10)+(10)^2-(10)^2+13=0\\(x^2-2(x)(10)+(10)^2) \:can\: be\: written\: as\: (x-10)^2 \\(x-10)^2-100+13=0\\(x-10)^2-87=0\\(x-10)^2=87

So, converting the equation x^2-20x+13=0 into completing the square method we get: \mathbf{(x-10)^2=87}

4 0
3 years ago
Which equation can be used to solve for c?
AlladinOne [14]
From the given triangle in the photo, the lengths of the sides are 3m and a, the hypotenuse is c. One angle, opposite of 3m is given to be 50 degrees C. The right equation that would solve c is,
                                         sin (50 degrees C) = 3m / c
Thus, the answer is the first choice. 
5 0
3 years ago
Read 2 more answers
For Jane Jones is a single person with 2 exemptions. In a week she earns $212.12. Using the chart above, Jane's federal income t
SpyIntel [72]

Answer:

The other answer is INCORRECT the CORRECT answer is : 34.00

Step-by-step explanation:

In the chart it shows how much for the number of exemptions. The other answer only included one but the question asks for TWO. Therefore making it 34.00

6 0
3 years ago
5^11 times 5^3 = 5^?
postnew [5]

Answer:

5^{13}

Step-by-step explanation:

5^{11}\times \:5^2

<u>Apply exponent rule : </u>a^b\times \:a^c=a^{b+c}

  • 5^{11}\times \:5^2=5^{11+2}
  • 5^{11+2}

<u>Add 11 +2 = 13</u>

  • <u />=5^{13}

<u>-----------------------</u>

<u>OAmalOHopeO</u>

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7 0
2 years ago
A family has traveled 114 miles of a planned trip. This is 37% of the total distance they must travel on the trip. Find, correct
denis23 [38]

Answer:

The total distance they will travel on their trip is 308 miles.

Step-by-step explanation:

This question can be solved using a rule of three.

114 miles is 37% = 0.37. How many mines are 100% = 1?

114 miles - 0.37

x miles - 1

0.37x = 114

x = \frac{114}{0.37}

x = 308.11

Rounding to the nearest mile

The total distance they will travel on their trip is 308 miles.

6 0
3 years ago
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