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2 years ago

If I eat 5 cupcakes every 14 hours for 42 hours how many cupcakes is that

Mathematics

1 answer:

Archy [21]2 years ago

5 0

42/14= 3
3 times 5= 15 cupcakes

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(−2, 3), because both lines pass through this point

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Sadie simplified the expression √54a^7b^3, where a>=0, as shown: √54a^7b^3= √3^2•6•a^2•a^5•b^2•b=3ab √6a^5b

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We are to find the error made by Sadie and then find the correct simplification.

The error Sadie made is that she wrote $a^7$ as $a^2 * a^5$ instead of $a^6 * a$ .

The square root of $a^6$ is $a^3$ and so she could have further simplified.

The correct simplification is shown below:

$\sqrt{54a^7b^3} = \sqrt{2 * 3 * 3 * 3 * a^6 * a * b^2 * b} \\ \\= \sqrt{3^2 * a^6 * b^2 * 6 * a * b} \\\\= 3a^3b\sqrt{6ab}$

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3 years ago

The equation of line fis - 3y + 4x = 9 write the equation of a line that is parallel to line and passes through the point (- 12,

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Answer:

$y = - 4x - 42$

Step-by-step explanation:

The equation of the line that is parallel to the line we are trying to find is

$- 3y + 4x = 9 \\ or \\ - 3y = - 4x + 9 \:(standard form) \\ \\therefore \: the \: slope \: of \: the \: line \\ \: is \: - 4$

We can recall that when two lines are parallel it means that they have the same slope. Therefore the slope of the line we are trying to find is also -4. We now know that:

$y = 6 \: \: \: x = - 12 \: \: \: slope = - 4$

Therefore the equation of the line is:

$y = mx + c \\ 6= ( - 4)( - 12) + c \\ 6 = 48 + c \\ 6 - 48 = c \\ - 42 = c$

$y = mx + c \\ y = - 4x - 42$

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