6 pounds of sugar for $3 how much per pound

Mathematics

1 answer:

nirvana33 [79]3 years ago

3 0

Answer:

$0.5

Step-by-step explanation:

3/6 = 0.5

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3 years ago

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1.
$8x+5y=6 \ \ \ |\times 2 \\
3x-2y=10 \ \ \ |\times 5 \\ \\
16x+10y=12 \\
\underline{15x-10y=50} \\
16x+15x=12+50 \\
31x=62 \ \ \ |\div 31 \\
x=2 \\ \\
3x-2y=10 \\
3 \times 2-2y=10 \\
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2.
$-3x+8y=10 \ \ \ |\times 5 \\
5x+6y=80 \ \ \ |\times 3 \\ \\
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\underline{15x+18y=240 \ \ } \\
40y+18y=50+240 \\
58y=290 \ \ \ |\div 58 \\
y=5 \\ \\
5x+6y=80 \\
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5x=50 \ \ \ |\div 5 \\
x=10 \\ \\
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3.
$4x+12y=-24 \\
3x-6y=-18 \ \ \ |\times 2 \\ \\
4x+12y=-24 \\
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10x=-60 \ \ \ |\div 10 \\
x=-6 \\ \\
3x-6y=-18 \\
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$5x-6y=48 \ \ \ |\times 2 \\
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2x+5y=-3 \\
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3 years ago

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3 years ago

What two numbers multiply and get 100 and add and get -29??

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X, y - the numbers

The numbers multiply to 100.
$xy=100$

The numbers add up to -29.
$x+y=-29 \\
y=-x-29$

Substitute -x-29 for y in the first equation:
$x(-x-29)=100 \\
-x^2-29x=100 \\
-x^2-29x-100=0 \\
-x^2-4x-25x-100=0 \\
-x(x+4)-25(x+4)=0 \\
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x=-25 \ \lor \ x=-4 \\ \\
y=-x-29 \\
y=-(-25)-29 \ \lor \ y=-(-4)-29 \\
y=25-29 \ \lor \ y=4-29 \\
y=-4 \ \lor \ y=-25 \\ \\
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The numbers are -4 and -25.

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3 years ago

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