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NeTakaya
3 years ago
13

Equivalent ratio to 5 over 8

Mathematics
2 answers:
CaHeK987 [17]3 years ago
7 0

Answer:

The answer is 10 over 16. Hope you have a nice day!

ikadub [295]3 years ago
5 0

Answer:

10 over 16

Step-by-step explanation:

If you multiply 5 by a number then you have to multiply 8 by the number to keep it equivalent

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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
in the diagram, the length of S is 2/3 the length of T. If S has an area of 368 cm squared, find the perimeter of the figure.
vivado [14]
920 cm squared. Divide S by 2 then multiply to find the value of T. If S = 368 then T = 552, 368 + 552 = 920.
8 0
3 years ago
Square root of 90 minus r equals r
dsp73

Answer:

r=sqrt45

Step-by-step explanation:

8 0
3 years ago
I don't understand the bottom questions. Please help, it's due for tomorrow!
Elena-2011 [213]
I am giving the answers only.

2/5

4/7

5/11

1/5

2/3

3/5

2/15

1/2
3 0
3 years ago
Solve: - 12 = -12(x + 2)
Fofino [41]

Answer:

x=-1

Step-by-step explanation:

-12=-12(x+12)

multiply -12 and x which equals -12x

multiply -12 and 2 which equals -24

the resulting equation is -12=-12x-24

add 24 on both sides of the equation----> equals -12x=12

divide -12 on both sides of equation

x=-1

6 0
3 years ago
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