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3 years ago

A donkey eats 3/9 of a hay bale a week. How many hay bales does he eat in 21 days?

Mathematics

2 answers:

vovikov84 [41]3 years ago

7 0

In this question, we're trying to find how many bales of hay the donkey eats in 21 days.

We know that the donkey eats 3/9 of a hay bale a week.

Lets turn this into a whole fraction to make it easier to find the answer:

The donkey would eat 9/9, or 1 hay bale, in 3 weeks.

We know that 3 weeks is equivalent to 21 days (1 week = 7 days), so our answer would be one hay bale.

Answer:

One hay bale.

masya89 [10]3 years ago

3 0

Answer:

Step-by-step explanation:

since a week is 1/3 of 21 days. ALl we need to do is 3/9 x 3 which =1

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3 years ago

Find y if x=2 : a. y=7-(x) b. y= x to the power of 2 minus 1. c. y= x+14 cubed

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Answer:

Step-by-step explanation:

y = 7 - x

y = 7 - 2

y = 5

y = x^2 - 1

y = (2)^2 - 1

y = 2*2 - 1

y = 4 - 1

y = 3

y = x + 14

I'm going to assume that you mean (x + 14)^3

y = (x + 14)^3

y = (2 + 14)^3

y = 16^3

y = 4096

If you really do mean what it says, then

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3 years ago

Find the equations of the tangents to the curve y = x²-x-12 at each of the points where the curve crosses the x-axis.

poizon [28]

Step-by-step explanation:

First, find the zeroes of the parabola

${x}^{2} - x - 12$

${x}^{2} - 4x + 3x - 12$

$x(x - 4) + 3(x - 4)$

$(x + 3)(x - 4) = 0$

$x = - 3$

$x - 4 = 0$

$x = 4$

So the zeroes or where the curve crosses the x axis is at 4 and -3.

Now, we take the derivative of the function.

$\frac{d}{dx} ( {x}^{2} - x - 12) = 2x - 1$

Plug in -3, and 4 into the derivative function

$2( - 3) = - 7$

$2(4) - 1 = 7$

So at x=-3, our slope of the tangent line is -7 and must pass through (-3,0). So we use point slope formula.

$y - y _{1} = m(x - x _{1})$

$y - 0 = - 7(x - ( - 3)$

$y = - 7x - 21$

At x=4, our slope of tangent line is 7, and pass through (4,0) so

$y - 0 = 7(x - 4)$

$y = 7x - 28$

So the equations of tangent is

$y = - 7x - 21$

$y = 7x - 28$

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2 years ago

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3 years ago

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Answer:

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