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3 years ago

A tutor invited 2 students to a study group. Those 2 students each invited

1 answer:

8 0

Hello, CptnSkippy! The answer to your question is 14 students were invited in total! To get the answer, you can do 2 x 2=4 and 4 x 2 which is 8. now you can draw a picture to this too. good luck and hope you get a good grade for your homework

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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

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The price of a pair of shoes is $52. This price is 15% lower than last week. What was the price of the shoes last week? Round yo

slava [35]

$52/(100-15)=$0.6117 is 1 percent of the price
$0.6117*100=$61.17
Last week the price of the shoes was $61.17

7 0

3 years ago

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PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!

Art [367]

A constant function is characterized by having the same value for f(x) in all it's domain. This means every value of x will have the same value in the axis y. You can see that in the graphic as a horizontal line.

The answer is: (2,6)

8 0

3 years ago

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Greatest to least - 1/2, 3/5, 3/7

Natalka [10]

3/7, 3/5, 1/2 is the answer it starts from the lowest to the lagest

4 0

2 years ago

What's 7/12 minus 3/12 simplified? BTW ONLY IN 4TH GRADE MAKE IT CLEAR

dusya [7]

7/12 - 3/12 = 1/3
Simplify each fraction if possible.
Same denominator? YES!
7 - 3 = 4
Since they have the same denominator, you just subtract the numerators.
Then simplify 4/12
4/4= 1 12/4= 3
Answer: 1/3
Hope that helps!

4 0

2 years ago

Read 2 more answers