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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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6(-p+8)= -6p + 12<br> Can someone help me please
Leno4ka [110]

Multiply the bracket by 6

6(-p+8)= -6p + 12

-6p+48= -6p+12

Move -6p from right side to left side

Sign changes from -6p to +6p

-6p+6p+48= -6p+6p+12

48= 12 ( No solution )

Answer : No solution

4 0
3 years ago
Aliyah wants to estimate the value of the quotient of 5. 68 times 10 Superscript negative 3 and 8. 54 times 10 Superscript negat
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Step-by-step explanation:

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2 years ago
The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is 2 l plus 2 w equals 16
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The possible values (L,W): (1,7),(2,6),(3,5),(5,3),(6,2),(7,1)

8 0
3 years ago
What is the answer to 19+x/2=4?
salantis [7]
19+x/2=4
multiply 2 on both sides
19+x=4 times 2
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8 0
3 years ago
In a contest to guess the number of jelly beans in a jar, Alice guessed 25;Betty, 18;Clare,23;Dotty,19;Edith,24;and Fran,17. Two
vampirchik [111]

Answer:

<em>There are 21 jelly beans in the jar.</em>

Step-by-step explanation:

Suppose, the number of jelly beans in the jar is  x

Two were off by 2, two were off by 3, two were off by 4. That means, the six guessed number will be:  (x+2), (x-2), (x+3), (x-3), (x+4), (x-4)

Given that, Alice guessed 25; Betty, 18; Clare, 23; Dotty, 19; Edith, 24; and Fran, 17.

So, the sum of all six guessed number will be:  25+18+23+19+24+17=126

Thus, the equation will be..........

(x+2)+(x-2)+(x+3)+(x-3)+(x+4)+(x-4)= 126\\ \\ 6x= 126\\ \\ x=\frac{126}{6}=21

So, the number of jelly beans in the jar is 21.


5 0
2 years ago
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