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Liula [17]
3 years ago
8

A chef can make 12 omelets in one hour. What is the rate of omelets per minute?

Mathematics
1 answer:
Nuetrik [128]3 years ago
3 0
60/12 =5
5 minutes per omelet
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Translate "Three is less than thirty-seven" into a mathematical expression.
scoray [572]

3  < 37
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Polygon ABCD is translated to create polygon A′B′C′D′. Point A is located at (1, 5), and point A′ is located at (-2, 3). Which e
kumpel [21]

Answer:

(x',y')-->(x-3,y-2)

Step-by-step explanation:

Notice that we can get from the x-coordinate of A, 1, to the x-coordinte of A', -2, by subtracting 3 from the x-coordinate of A. More formaly:

1+a=-2

a=-2-1

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Similarly, we can get from the y-coordinate of A, 5, to the y-coordinate of A', 3, by subtracting 2 from the y-coordinte of A. More formaly:

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Now we now that to get to A' from A, we need to subtract 3 to the x-coordinate of A and subtract 2 to the y-coordinate. Knowing this, we can create the expression to translate any point of the polygon ABCD to create the polygon A'B'C'D':

(x',y')-->(x-3,y-2)

3 0
3 years ago
Find the shortest side of a triangle whose perimeter is 64 if the ratio of two of its sides is 4:3 and the third side is 20 less
Sergio039 [100]

Answer:

The shortest side of the triangle is 18

Step-by-step explanation:

Let the sides the triangle be x, y and z.

From the question, the perimeter of the rectangle is 64, that is

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Also, the ratio of two of its sides is 4:3, that is x:y = 4:3, then we can write that x/y = 4/3 ⇒ 3x = 4y ...... (2)

The third side, z, is 20 less than the sum of the other two, that is

z + 20 = x + y ...... (3)

Substitute equation (3) into (1)

Then,

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Then, k

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Substitute this into equation (4)

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∴ x = 24, y = 18 and z = 22

Hence, the shortest side of the triangle is 18.

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2 years ago
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