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Arte-miy333 [17]
2 years ago
15

Solve the given proportion. x = [?]

Mathematics
1 answer:
Readme [11.4K]2 years ago
6 0

Answer:

x=48

Step-by-step explanation:

I hope I helped!!1

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How many solutions does the equation have, x1 + x2 + x3 = 10 , where x1 , x2, and x3 are non-negative integers?
MAVERICK [17]

Non-negative integers are positive integers or zero.

1. When x_1=0, then there are such possible cases for x_2 and x_3:

  • x_2=0,\ x_3=10;
  • x_2=1,\ x_3=9;
  • x_2=2,\ x_3=8;
  • x_2=3,\ x_3=7;
  • x_2=4,\ x_3=6;
  • x_2=5,\ x_3=5;
  • x_2=6,\ x_3=4;
  • x_2=7,\ x_3=3;
  • x_2=8,\ x_3=2;
  • x_2=9,\ x_3=1;
  • x_2=10,\ x_3=0.

In total 11 solutions for x_1=0.

2. For x_1=1, there are such possible cases for x_2 and x_3:

  • x_2=0,\ x_3=9;
  • x_2=1,\ x_3=8;
  • x_2=2,\ x_3=7;
  • x_2=3,\ x_3=6;
  • x_2=4,\ x_3=5;
  • x_2=5,\ x_3=4;
  • x_2=6,\ x_3=3;
  • x_2=7,\ x_3=2;
  • x_2=8,\ x_3=1;
  • x_2=9,\ x_3=0.

In total 10 solutions for x_1=1.

3. This process gives you

  • for x_1=2 - 9 solutions;
  • for x_1=3 - 8 solutions;
  • for x_1=4 - 7 solutions;
  • for x_1=5 - 6 solutions;
  • for x_1=6 - 5 solutions;
  • for x_1=7 - 4 solutions;
  • for x_1=8 - 3 solutions;
  • for x_1=9 - 2 solutions;
  • for x_1=10 - 1 solution.

4. Add all numbers of solutions:

11+10+9+8+7+6+5+4+3+2+1=66.

Answer: there are 66 possible solutions (with non-negative integer variables)

8 0
3 years ago
Read 2 more answers
laryy has 3 packets of ballons with 15 ballons in each packet. he wants to put the same number of balloons into 10 gift bags wha
wel

larry has 3 packer sin each 15 and total are 45 u wish put in 10 bags then divide 45 by 10 anser is 5

5 0
3 years ago
(5a+2)(a+4)=<br> this is supposed to be a polynomial in standard form
Shkiper50 [21]

Answer:

5a²+22a+8

Step-by-step explanation:

(5a×a)+(5a×4)+(2×a)+(2×4)

=5a²+20a+2a+8

=5a²+22a+8

7 0
2 years ago
Aaaaaa help I’m stuck at F I really need to do this so I could get a D please with explanation
Fed [463]

Answer:

$1.51

Step-by-step explanation:

1.25 lb. of dried fruit  :  \frac{\$1.84}{lb.}*\frac{1.25\ lb.}{1}=\$2.30

0.5 lb. of cereal  :  \frac{\$2.38}{lb.}*\frac{0.5\ lb.}{1}= \$1.19

Cost = $2.30 + $1.19 = 3.49

Money = $5

$5 - $3.49 = $1.51 in change

5 0
3 years ago
Which are correct representations of the inequality...
KiRa [710]

Answer:

-6x+15

Step-by-step explanation:

-3(2x-5)

Distribute.

-6x+15

Add 5x and subtract 15 on both sides.

-6x-5x

-1x

Multiply -1 on both sides.

x>5

6 0
3 years ago
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