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Alik [6]
2 years ago
6

6. Steve is packing sacks for treats at a party. Every sack is exactly the same. Steve has 42 candy bars and 126 lollipops. a. W

hat is the greatest number of treat sacks Steve can make? b. How many of each kind of treat is in one sack?
Mathematics
1 answer:
Sergeu [11.5K]2 years ago
8 0

Answer:

Greatest sack = 42

1 candy bar and 3 lollipops

<em></em>

Step-by-step explanation:

Represent Candy bars with C and Lollipops with L

C = 42

L= 126

Solving (a): Greatest number of treat sacks

To solve this, we simply calculate the GCF of C and L

42 = 2^1 * 3^1 * 7^1

126 = 2^1 * 3^2 * 7^1

Hence, the GCF is

GCF = 2^1 * 3^1 * 7^1

GCF = 42

Hence, greatest number of sack is 42

Solving (b): Number of treat in each sack.

To do this, we simply divide the number of C and L by the calculated GCF

For C:

Treats = \frac{C}{GCF}

Treats = \frac{42}{42}

Treats = 1

For L:

Treats = \frac{L}{GCF}

Treats = \frac{126}{42}

Treats = 3

<em>Hence, 1 candy bar and 3 lollipops</em>

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Answer:

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Step-by-step explanation:

<u>Given:</u>

  • G = (11,-5)
  • M = (4,-4)
  • R = ?

<u>Solution</u>

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<u>As per midpoint formula;</u>

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3 years ago
Dogs are inbred for such desirable characteristics as blue eye color, but an unfortunate by-product of such inbreeding can be th
sesenic [268]

Answer:

The probability that the dogs are blue eyed and deaf is 13.02%.

Step-by-step explanation:

We are given the following information in the question:

P(Blue eyes) = 31%

P(Deaf) = 38%

P(Deaf | Blue eyes) = 42%

Formula for conditional probability:

P( A|B) = \displaystyle\frac{P(A \cap B)}{P(B)}

Now, let A be the event where the dog is deaf and B be the the event where dog is blue eyed.

P( \text{ Deaf}|\text{Blue eyes}) = \displaystyle\frac{P( \text{Deaf} \cap \text{Blue eyes})}{P(\text{Blue eyes})}\\\\0.42 = \displaystyle\frac{P( \text{Deaf} \cap \text{Blue eyes})}{0.31}\\\\P( \text{Deaf} \cap \text{Blue eyes}) = 0.42\times 0.31 = 0.1302 = 13.02\%

Hence, the probability that the dogs are blue eyed and deaf is 13.02%.

6 0
3 years ago
Describe the diagram below using correct geometric names
bagirrra123 [75]
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angle PQS and TQR are straight angles

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8 0
3 years ago
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How many hours is between 9:30pm to 8:15am
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There are 10 hours and 45 minutes between 9:30 pm and 8:15am. We can figure this out by counting the hours in between 9:30pm and 8:15am. You would stop at 7:30 am to get 11 hours but 7:30 is not 8:15 is it? So we would need to figure out the additional minutes that we need by first adding 30 minutes to get to 8:00 then another 15 to get to 8:15. When added, 30 plus 15 equals 45.
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I hope this helped! :-)
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