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Vinil7 [7]
3 years ago
14

The florist can order roses bunches of one dozen and lilies in bunches of 8.

Mathematics
1 answer:
vekshin13 years ago
3 0

9514 1404 393

Answer:

  1. (rose bunches, lily bunches) ∈ {(2, 3), (4, 6), (6, 9), (8, 12)}. The least is (2, 3).

  2. 6(2+3); 14(3+1); 9(4+3)

Step-by-step explanation:

I like Euclid's algorithm for finding the greatest common factor (GCF): divide the larger number by the smaller, and note the remainder. If the remainder is zero, the smaller is the GCF; if not, use the remainder in place of the larger number and repeat.

__

1. The GCF of 8 and 12 is 4, so the least common multiple is ...

  LCM(a, b) = ab/GCF(a, b)

  LCM(8, 12) = 8·12/4 = 24

24 roses is 2 bunches; 24 lilies is 3 bunches. Up to 8 bunches of roses can be ordered to keep the number less than 100.

The florist could have ordered these numbers of bunches (roses, lilies):

  (2, 3), (4, 6), (6, 9), (8, 12)

The least order is 2 bunches of roses and 3 bunches of lilies.

__

2.

A. GCF = 6, so the factored form is 6(2+3)

B. GCF = 14, so the factored form is 14(3+1)

C. GCF = 9, so the factored form is 9(4+3)

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Line segments JK and JL in the xy-coordinate plane both have a common endpoint J (-4,11) and midpoints an M1 (2,16) and M2 (-3,5
Arisa [49]

Answer:

12.1  

Step-by-step explanation:

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x² = 5² + 11² = 25 + 121 = 146

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8 0
3 years ago
I need help with Geometry
olga_2 [115]

Answer:

because this is a right triangle, we have''

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Step-by-step explanatio

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3 years ago
A firm offers routine physical examinations as part of a health service program for its employees. The exams showed that 8% of t
IRINA_888 [86]

Answer: 0.206

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The probability that an employee will need either corrective shoes or major dental work = (Probability an employee will need correct shoes and not need dental work) or (probability that an employee will need dental work or not corrective shoes)

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5 0
3 years ago
What the answer for this ? :/
goblinko [34]
Hello there! I can help you! In order to answer those questions, we need to plug in the values, based off of the variable.

g. Okay. We are solving b - 10. b = -8. When you subtract something from a negative number, the number is even lower. Let's add the numbers first and then put in the negative symbol. 8 + 10 is 18. Put the negative sign and you get -18. The difference is -18.

h. Now, we solve a - b. a = 5 and b = -8. Because we are subtracting a negative number from a positive, we have to add both numbers, which means the number gets bigger. Ignore the negative sign and add. 5 + 8 is 13. There. The sum is 13.

i. The problem is c - a. c = -9 and a = 5. So as explained on problem G, for this problem, ignore the negative symbol and add. 9 + 5 is 14. Plug in the negative sign to get -14. There. The difference is -14.
3 0
3 years ago
Juliet deposited $9,000 into her savings account. The bank offers 2% interest. She invests her money for 6 months. How much mone
frutty [35]

Answer:

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Step-by-step explanation:

put that in yer calculator

5 0
3 years ago
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