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Elenna [48]
3 years ago
6

Can u help me plz and say how u done it :)

Mathematics
1 answer:
puteri [66]3 years ago
5 0

Answer:

3(2x+7)

=21x+21

this is the answer hope you like it

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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
The length (L) of a rectangle of fixed area varies inversely as the width (W).
Andreyy89

Answer:

6.25

Step-by-step explanation:

If 10ft=8ft

=5ft

cross multiply

5 0
2 years ago
He following system of equations can be used to find the roots of the equation
AleksAgata [21]
In the default window of a graphing calculator, there is only one intersection that you see.

However, if you zoom out, you will see that they are 3 intersections to the pair of equations.
6 0
3 years ago
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A health insurance payment of $34.55 was deducted from ms. Donaldson's earnings for the week. After the insurance deduction, pay
leonid [27]
I think that this quesion is missing some background, that is that Ms. Donaldson earned 907.10

So the 34.55 were deduced from this number, and the remaining amount was:

907.10-34.55=872.65

After this, further 28% were deduced, which means that 100-28=72% were left.

And this is:72%*872.55= 628.236 (which we round to 628.24!)

 
6 0
3 years ago
There are 750 toothpicks in a regular sized box. If a jumbo box is made by doubling all the dimensions of the regular sized box,
Serga [27]

To answer this, let the 3 sides of the regular sized rectangular box be x, y, and z.

When we double all the sides, the new sides have lengths 2x, 2y, and 2z, respectively.

Since the regular box (with dimensions x,y, and z) have 750 toothpicks, we can write

xyz=750

Similarly we can write for the jumbo box as,

(2x)(2y)(2z)

which is equal to 8(xyz)

So this is 8 times the original of xyz. Hence the jumbo box will have 8 times 750 number of toothpicks.

ANSWER: 8*750=6000 toothpicks

7 0
3 years ago
Read 2 more answers
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