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Usimov [2.4K]
3 years ago
8

the professor is decorating his home and wants to buy some plants. he is interested in three types of plants costing $7, $10, an

d $13. his budget is $150 and wants to buy 15 plants. translate the information into a system of two linear equations in three variables. find all solutions of the system. specify at least three of his options.
Mathematics
1 answer:
Luda [366]3 years ago
3 0
X quantity of first plant which cost $7
y quantity of second plant which cost $10
z quantity of third plant which cost $13

{x+y+z=15
{7x+10y+13z=150
There are 8 solutions with spending $150
Five of them are:
1x$7 +  13x$10 + 1x$13
2x$7  + 11x$10  +2x$13
3x$7 +  9x$10  +3x$13
5x$7  +  5x$10 + 5x$13
6x$7 + 3x$10 + 6x$13
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Does anyone know the answer to this?
bezimeni [28]

Hey there!


First, let's find s:

s = (5 + 6 + 7) /2 = 9


Second, let's plug in the numbers into the formula:

A = \sqrt{9(9-7)(9-5)(9-6)}


Third, let's simplify the numbers to get one number under the square root:

A = [tex]\sqrt{216}


Fourth, we'll find the square root of 216 to get the area:

A = 14.697


Therefore, your answer is A.


Hope this helps!! :)

5 0
3 years ago
URGENT 30 points I need help
Ostrovityanka [42]

Answer:

<em>- 112 + 100 n</em>

Step-by-step explanation:

a_{n} = a_{1} + (n - 1 )d

~~~~~~~

a_{1} = - 12

d = 100

a_{n} = - 12 + 100( n - 1 )

a_{n} = - 12 + 100n - 100

a_{n} <em>= - 112 + 100 n</em>

4 0
2 years ago
What is the gcf of 16 24 and 36
Nutka1998 [239]

Answer:

4

Step-by-step explanation:

Calculate Greatest Common Factor for :

   16, 24 and 36

Factorize of the above numbers :

   16 = 2^{4}  

   24 = 2^{3} • 3  

   36 = 2^{2} • 3^{2}  

Build a prime factors table

   Number of times each prime factor

   appears in the factorization of :

Prime  Factor     Number  16   Number  24   Number  36    G.C.F   (min)  

2 4 3 2 2

3 0 1 2 0

GCF = 2²

Greatest Common Factor is :

     4

Hope this helps :)

7 0
3 years ago
Evaluate the expression 2/5 divided by 1/5 plus 4/5 divided by 1/3
Anna007 [38]

Answer:

The answer I got is 4 2/5.

Step-by-step explanation: 2/5 divided by 1/5 is 2. 4/5 divided by 1/3 is 2 2/5. 2 plus 2 2/5 is 4 2/5.

6 0
3 years ago
What is the motion of a marry go round?
ValentinkaMS [17]

a marry go round goes in circulatory motion

7 0
3 years ago
Read 2 more answers
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