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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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Answer:

x=15

Step-by-step explanation:

We are given the equations 2(x+9), 30+18 to search for a value of x that yields an equivalent statement.  2(x+9)=30+18\\2(x+9)=48\\x+9=24\\x=15.

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3 years ago
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4 years ago
An object is launched from a launching pad 208 ft. above the ground at a velocity of 192ft/sec. what is the maximum height reach
Alexeev081 [22]

Answer:

h(x) = -16x² + 192x + 208

784ft

6 sec

13 sec

Step-by-step explanation:

a)

h(x) = -16x² +vx + h_{o}

here v represent velocity

         h_{o} represent initial height of launch

       

h(x) = -16x² + 192x + 208

b)

h(x) = -16x² + 192x + 208

here a = -16

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        c = 208

x = -b/2a

  = -192/2(-16)

  = 6

plug this value in the equation

h(x) = -16(6)² + 192(6) + 208

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e)

Plug h(x)=0 in the equation

0 = -16x² + 192x + 208

divide equation by -16

x² - 12x - 13 = 0

Factors

1x * -13x = -13

1x - 13x = -12

Factorised form

x² - 12x - 13 = 0

x² + x - 13x - 13 = 0

x(x+1) -13(x+1) = 0

(x+1)(x-13) = 0

x = -1

x = 13

Since time can not be negative so we will reject x = -1  

3 0
4 years ago
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Answer:

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x -4x-1=3

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