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Scilla [17]
3 years ago
10

What is the most reasonable for the weight of a table and four chairs? A 19 pounds B 90 pounds C 900 pounds D 9 tons

Mathematics
1 answer:
Rom4ik [11]3 years ago
7 0

Answer:

B. 90 pounds.

Step-by-step explanation:

19 pounds would be too light, 900 pounds would be too heavy, and 9 tons is equal to 18,000 pounds which is wayy too heavy.

Hope this helps!

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A florist is creating 10 centerpieces. Roses cost $2.50 each, lilies cost $4 each, and irises cost $2 each. A customer plans on
lana [24]

Answer:

8 Roses; 1 lilie ; 3 irises

Step-by-step explanation:

Let the number of roses be 'a' , number lilies be 'b' and number of irises be 'c'

$300 for 10 centerpieces means $30 per centerpiece. therefore,

2.5a+4b+2c = 30 .......................(1)

also each centerpiece must contain 12 flowers, therefore,

a+b+c=12 .................................(2)

also twice as much roses as the number of irises and lilies combined

a = 2(b+c)

a-2b-2c=0 ............................... (3)

a) System of equation are equations (1) , (2) & (3).

Writing a matrix equation

\left[\begin{array}{ccc}2.5a&4b&2c\\a&b&c\\a&-2b&-2c\end{array}\right]  = \left[\begin{array}{ccc}30\\12\\0\end{array}\right]

b) Solving the simultaneous equation,

from (3), a=2b+2c

substituting for 'a' in equation (1) and (2),

⇒ 2.5(2b+2c)+4b+2c=30

⇒ 5b + 5c + 4b + 2c = 30

⇒ 9b + 7c = 30 ..................... (4)

⇒ 2b + 2c + b + c = 12

⇒ 3b + 3c = 12

⇒ b = 4 - c ..............................(5)

Substituting (5) in (4)

9 (4 - c) + 7c = 30

36 - 9c+7c =30

36-30 = 2c

c = 3

b = 4-3 = 1

a = 2(3+1) = 8

3 0
3 years ago
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