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Delicious77 [7]
3 years ago
6

A restaurant starts with 10 dozen

Mathematics
2 answers:
slava [35]3 years ago
7 0

Answer:

46 orders.

Step-by-step explanation:

(10*12) - 2x = 28

120 - 2x = 28

-2x = 28 - 120

-2x = -92

x = -92/2

x = 46

Vladimir79 [104]3 years ago
3 0

Answer:

48 orders

Step-by-step explanation:

so 10 dozen is 120 because 12(10) is 120. we first subtract 120-28, which is 96. divided 96 by 2 to get 48.

equation: (12(10)-28)/2=x

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X^4-256=0 numbers of rational roots
zhuklara [117]

Answer:

x = 8 or x = -8

Step-by-step explanation:

x^4 - 256 = 0

<=>x^4 - 4^4 = 0

<=>(x - 8)(x + 8)(x^2 + 64) = 0

Case 1 :

x - 8 = 0

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Case 2:

x + 8 = 0

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Case 3:

x^2 + 64 = 0

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so x = 8 or x = -8

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7 0
3 years ago
A point M on a segment with endpoints X (1, −2) and Y (10, 3) partitions the segment in a 5:1 ratio. Find M. You must show all w
insens350 [35]

The coordinates of point M which divides the line segment having end points (1,-2) and (10,3) in 5:1 are (17/2,13/6).

Given that the end points of line segment  are X(1,-2) and Y(10,3) and the ratio in which the line segment is being divided is 5:1.

Line segment is a collection of points which when together joined joins two points on a surface.

The coordinates of point dividing a line segment with end points (x_{1} ,y_{1} ),(x_{2} ,y_{2} ) and ratio m:ncan be calculated using the below given formula:

(X,Y)=(mx_{2} +nx_{1} /m+n,my_{2} +ny_{1} /m+n).

We have to just put the values in the above formula to get the  coordinates.

(X,Y)=(5*10+1*1/5+1,5*3-2*1/5+1)

=(50+1/6,15-2/6)

=(51/6,13/6)

=(17/2,13/6)

Hence the coordinates of point M which divides the line segment having end points (1,-2) and (10,3) in 5:1 are (17/2,13/6).

Learn more about line segment at brainly.com/question/2437195

#SPJ1

8 0
2 years ago
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san4es73 [151]
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5 0
3 years ago
(1 point) Carbon dating is often used to determine the age of a fossil. For example, a humanoid skull was found in a cave in Sou
Aleksandr [31]

Answer:

The estimated age of the skull is 39118 years.

Step-by-step explanation:

The amount of the substance after t years is given by:

A(t) = A(0)(1-r)^t

In which A(0) is the initial amount, and r is the decay rate.

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This means that A(5600) = 0.5A(0). We use this to find r, or 1 - r, to replace in the equation. So

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1 - r = (0.5)^{\frac{1}{5600}}

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So

A(t) = A(0)(0.9999)^t

Only 2% of the original amount of carbon-14 remains in the burnt wood of the campfire.

This is t for which A(t) = 0.02A(0). So

A(t) = A(0)(0.9999)^t

0.02A(0) = A(0)(0.9999)^t

(0.9999)^t = 0.02

\log{(0.9999)^t} = \log{0.02}

t\log{0.9999} = \log{0.02}

t = \frac{\log{0.02}}{\log{0.9999}}

t = 39118

The estimated age of the skull is 39118 years.

6 0
3 years ago
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