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natta225 [31]
3 years ago
8

a taco stand sells tacos for $3.25 each. the stand's expenses for the day are $210. definec your variables and write an inequali

ty to represent the amount of tacos they need to sell per day to make a profit, and then solve then solve the inequality. provide your conclusion as a complete sentence.
Mathematics
1 answer:
AlekseyPX3 years ago
7 0

Okay, we know that the expenses for the day is 210.

Knowing this, and the price of the taco, we write the inequality:

3.25t > 210

t = number of tacos

Now divide both sides by 3.25:

t > 64.62 (rounded)

Because a taco stand can't sell a fraction of a taco, we know that the taco stand has to sell more than 65 tacos for a profit.

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In the coordinate plane, the point A, 4− 2 is translated to the point A′, 1− 5. Under the same translation, the points B, 7− 4 a
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Answer:

The coordinates of B' and C' are B'(x,y) = (4, -7) and C'(x,y) = (-1, -8), respectively.

Step-by-step explanation:

From the Linear Algebra, we define the translation of a given point as:

O'(x,y) = O(x,y) + T(x,y) (1)

Where:

O(x,y) - Original point, dimensionless.

T(x,y) - Translation vector, dimensionless.

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If we know that A'(x,y) = (1, -5) and A(x,y) = (4,-2), then the translation vector is:

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T(x,y) = (1,-5)-(4,-2)

T(x,y) = (-3,-3)

If we know that B(x,y) = (7,-4), C(x,y) = (2,-5) and T(x,y) = (-3,-3), then the translated points are, respectively:

B'(x,y) = B(x,y)+T(x,y) (3)

B'(x,y) = (7,-4) +(-3,-3)

B'(x,y) = (4, -7)

C'(x,y) = C(x,y) +T(x,y)

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C'(x,y) = (-1, -8)

The coordinates of B' and C' are B'(x,y) = (4, -7) and C'(x,y) = (-1, -8), respectively.

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swat32

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If the square fits the circle exactly, then its diagonal is equal to the diameter of the circle. Since the side of the square has a length of x cm, then it's diagonal have the length of x\sqrt2 cm. Using the circle's area we can find the diagonal of the square, as shown below:

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