Convert 3kg to pounds

You need 4/5 of a cup of strawberries for one pie how many cup to make 2 pies

inysia [295]

Answer:

2p × 4/5 = 8/5 or 1 ³/⁵ cups

5 0

3 years ago

which statements are true regarding the equation? sorry it's blurry it's the best photo i could get of it all.

12345 [234]

Given that 2 large puzzle costs $16 then

2l=16

or

l=8

That means cost of 1 large puzzle = $8

Given that 3 small puzzle costs $15 then

3s=15

or

s=5

That means cost of 1 small puzzle = $5

Now we will use this information to find the correct choice.

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First choice is wrong as coefficient 8 is with 8l so that gives cost of 1 large not small puzzle.

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Second choice is correct as coefficient 8 is with 8l so that gives cost of 1 large puzzle.

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Third choice is correct as coefficient 5 is with 5s so that gives cost of 1 small puzzle.

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Fourth choice is Wrong as coefficient 5 is with 5s so that gives cost of 1 small not large puzzle.

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Fifth choice is wrong as constant 128 gives total cost of not the total number of puzzles.

5 0

3 years ago

Gina started with the circle (x−2)2+y2=16. She translated it 4 units left and 1 unit down. Then she reduced the radius by 1 unit

olchik [2.2K]

Answer:

(x + 2)² + (y + 1)² = 9

Step-by-step explanation:

Gina started with a circle with the given equation as,

(x - 2)² + (y - 0)² = 16

Since, standard equation of a circle is,

(x - a)² + (y - b)² = r²

Here (a, b) is the center of the circle and 'r' is the radius.

Therefore, from the given equation of the circle,

Center of the circle → (2, 0)

Radius of the circle → √16 = 4 units

She translated this circle 4 units left and 1 unit down.

Rule for the new center after translation will be,

(x, y) → (x - 4, y - 1)

(2, 0) → (2 - 4, 0 - 1)

→ (-2, -1)

Coordinates of the new center → (-2, -1)

Then she reduced the radius by 1 units.

Therefore, radius of the new circle = 4 - 1 = 3 units

Now we substitute these values in the standard equation of the circle to get the equation of the new circle.

(x + 2)² + (y + 1)² = 3²

(x + 2)² + (y + 1)² = 9

5 0

3 years ago

A farmer has 144 feet of fencing to use to create a rectangular enclosure for his pigs. He decides to use the wall of his barn a

andreyandreev [35.5K]

Answer:

The farmer should make the enclosure 36 feet wide to have the maximum area for his pigs.

Step-by-step explanation:

The question tests the applications of differential calculus. We are informed that the farmer will use the wall of his barn as one side of the enclosure implying that the 144 feet of fencing will only be used to form the three remaining sides of the rectangular enclosure.

If we let x denote the width of this rectangular enclosure to be formed, then its length will be 144-2x since we shall be having two sides each measuring x and the total length of the fencing is 144. 2x will be used on the width leaving 144-2x for the length since one side of the length is formed by the wall.

If we let A denote the area of the rectangular enclosure, then;

A = x(144 - 2x)

since the area of a rectangle is simply the product of the length and the width. We open the brackets;

A = 144x - 2x^2

Clearly, the Area is a function of the width that is A is the dependent variable while x is the independent one.

At the maximum area, the slope of the tangent to the curve 144x - 2x^2 is 0. Therefore, we differentiate the given function of x with respect to x then set the resulting expression to 0 to determine x that will maximize A;

dA/dx = 144 - 4x

We set this expression to 0 and solve for x;

144 - 4x = 0

144 = 4x

x = 36

Therefore, the farmer should make the enclosure 36 feet wide to have the maximum area for his pigs.

5 0

3 years ago

How can i solve by completing the square 4r^2-28r=-49

Natalija [7]

To complete the square, the second degree term must have a coefficient of 1.
Since the second degree term here has a coefficient of 4, we start by dividing each term on both sides by 4.

$4r^2 - 28r = -49$

$\dfrac{4r^2}{4} - \dfrac{28}{4}r = -\dfrac{49}{4}$

$r^2 - 7r = -\dfrac{49}{4}$

Now we can complete the square.
First, we need to find what number completes the square.
We take the coefficient of the first degree term, -7 in this case.
Divide it by 2 and square it. -7 divided by 2 is the fraction -7/2.
Now we square -7/2 to get 49/4.
We add 49/4 to both sides.

$r^2 - 7r + \dfrac{49}{4} = -\dfrac{49}{4} + \dfrac{49}{4}$

$(r - \dfrac{7}{2})^2 = 0$

$r - \dfrac{7}{2} = 0$

$r = \dfrac{7}{2}$

3 0

4 years ago