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3 years ago

Kate is making hamburgers for her friends and has pounds of hamburger. How many -pound hamburgers can she make?

Mathematics

1 answer:

Ludmilka [50]3 years ago

4 0

Answer:

25 hamburgers

Step-by-step explanation:

Kate is making hamburgers for her friends and has 8 1/3 pounds of hamburger. How many 1/3-pound hamburgers can she make

Solution:

Given that Kate has 8 1/3 pounds of hamburger and she wants to make various hamburgers of 1/3 pound each. To determine the number of hamburgers she can make, we just have to divide the pounds of hamburger (8 1/3 pounds) by the 1/3 pounds.

8 1/3 pounds = [(8*3) + 1] / 3 = (24 + 1) / 3 = 25/3 pounds of hamburger

Therefore:

Number of hamburgers she can make = (25/3 pounds) / (1/3 pound) = 25 hamburgers

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The circle described by the equation <img src="https://tex.z-dn.net/?f=%28x-3%29%5E%7B2%7D%20%2B%28y%2B4%29%5E%7B2%7D%3D9" id="T

ElenaW [278]

Answer:

The point at which center of the image circle located is (-2, -3) so second option is correct.

Step-by-step explanation:

Given equation of circle is:

$(x-3)^{2} + (y+4)^{2} = 9$ (i)

The general equation of circle is mentioned below,

$(x-h)^{2} + (y-k)^{2} = r^{2}$ (ii)

Here 'r' represents the radius of the circle and (h,k) shown the center of the circle.

By comparing equation (i) and equation (ii), we get

r^2 = 9

r = 3

$(x-3)^{2} = (x-h)^{2}$

$(x-3) = (x-h)$

$h = 3$

$(y+4)^{2} = (y-k)^{2}$

$(y+4) = (y-k)$

$k = -4$

So the center of given circle is (h,k) = (3,-4)

Also, the circle is translated 5 units left, that is towards the -x-axis. Therefore h = 3 - 5 = -2

Also, the circle is translated 1 unit up, that is towards the +y-axis. Therefore k = -4 + 1 = -3

Hence, the point at which center of the image circle located is (-2, -3) so second option is correct.

6 0

3 years ago

Read 2 more answers

If Oscar the ostrich travels 78 miles in 2 hours on land, how fast does he travel?

Aleks04 [339]

Speed=distance traveled/time of the travel=78/2=39 mph

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=1%2F2x%5E3%20%2B%20x%20-7%20%3D%20-3%5Csqrt%7Bx%7D%20%20-1" id="TexFormula1" title="1/2x^3 + x

Margaret [11]

Answer:

none of the above

Step-by-step explanation:

The problem as written cannot have any of the solutions offered.

For any of those choices, the right side expression will be irrational. The left side expression will be rational for any rational value of x, so cannot be equal to the right-side expression.

The solution is an irrational number near ...

x ≈ 1.33682898582