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3 years ago

7

Which number or numbers appear to have only one line of symmetry

1 answer:

Pachacha [2.7K]3 years ago

5 0

3 (horizontally) I do not think it is easy to explain this answer.

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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

2 years ago

Read 2 more answers

In a survey, 36% of the students said that they kept an electronic diary. There were 900 students who kept an electronic diary.

Rasek [7]

The answer is 25000.

4 0

2 years ago

Please help me answer this question

I am Lyosha [343]

9514 1404 393

Answer:

D. -17%

Step-by-step explanation:

The change from March to April is (April - March) = (100 -120) = -20. As a fraction of the March bill, that is ...

-20/120 = -1/6

As a percentage, that change is ...

-1/6 × 100% ≈ -16.667% ≈ -17%

The electric bill changed by about -17% from March to April.

_____

<em>Additional comment</em>

Water went up 4%; groceries went up about 14%, and restaurant changed by -15%.

The percentage change is found by ...

% change = ((new amount)/(original amount) -1) × 100%

Above, we have rearranged this to ...

% change = ((new amount) -(original amount))/(original amount) × 100%

8 0

2 years ago

If f (x)=2x +6 and g (x) =x^3, what is ( g*f) (0)

8090 [49]

(g*f)(0)= (x^3)*(2x+6)
(g*f)(0)= (0^3)*(2(0)+6)
(g*f)(0)= (0)*(0+6)
(g*f)(0)= (0)*(6)
(g*f)(0)= 0

4 0

2 years ago

Convert 8.132132132 ... to a rational expression in the form of a over b , where b ≠ 0.

bezimeni [28]

Let <em>x</em> = 8.132132132...

Then 1000<em>x</em> = 8132.132132132...

Subtract <em>x</em> from 1000<em>x</em> to eliminate the fractional part:

1000<em>x</em> - <em>x</em> = 8132.132132132... - 8.132132132...

999<em>x</em> = 8132 - 8 = 8124

<em>x</em> = 8124/999 = 2708/333

5 0

2 years ago