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3 years ago

5 calculators cost $140.00

Mathematics

2 answers:

kow [346]3 years ago

5 0

28$ each calculator

Explanation:

140 / 5 = 28

lora16 [44]3 years ago

3 0

Answer:

The cost of 1 calculator is $28.00

Step-by-step explanation:

You haven't mentioned the question. Anyways if you want to find the value of 1 calculator, the simplest method ( in my opinion) you could do so in the ratio method:

5 calculators : $140

1 calculators : x

( x is the cost of 1 calculator. You have to find x. )

Cross multiply both the ratios. Multiply 5 with x and 140 with 1.

5x = 140 × 1

5x = 140

Bring 5 to the other makes 140 divided upon 5, as it was multiplied with x.

x = $\frac{140}{5}$

x = $28

You could not only find the cost of 1 calculator, but any number of calculators. Just replace the number of calculators with 1 calculator that I have found the cost of.

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Three cell phones towers can be modeled by the points X(6,0), Y(8,4), and Z(3,9). Determine the location of another cell phone t

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Step-by-step explanation:

The location of the cell phone tower coincides with the location of a circunference passing through the three cell phone towers. By Analytical Geometry, the equation of the circle is represented by the following general formula:

$x^{2} + y^{2}+A\cdot x + B\cdot y +C = 0$ (1)

Where:

$x$ - Independent variable.

$y$ - Dependent variable.

$A$ , $B$ , $C$ - Circunference constants.

Given the number of variable, we need the location of three distinct points:

$(x_{1},y_{1}) = (6,0)$

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$80 + 8\cdot A + 4\cdot B + C = 0$

$(x_{3},y_{3}) = (3,9)$

$90 + 3\cdot A + 9\cdot B + C = 0$

Then, we have the following system of linear equations:

$6\cdot A + C = -36$ (2)

$8\cdot A +4\cdot B + C = -80$ (3)

$3\cdot A + 9\cdot B + C = -90$ (4)

The solution of this system is:

$A = -6$ , $B = -8$ , $C = 0$

By comparing the general form with the standard form of the equation of the circunference is:

$A = -2\cdot h$ (5)

$B = -2\cdot k$ (6)

$C = h^{2}+k^{2}-r^{2}$ (7)

Where:

$h$ , $k$ - Coordinates of the center of the circle.

$r$ - Radius of the circle.

If we know that $A = -6$ , $B = -8$ and $C = 0$ , then coordinates of the center of the circle and its radius are, respectively:

$h = -\frac{A}{2}$

$k = -\frac{B}{2}$

$r = \sqrt{h^{2}+k^{2}-C}$

$h = 3$ , $k = 4$ , $r = 5$

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3 years ago

In a survey of 364 children aged 19-36 months, it was found that 91 liked to eat potato chips. If a child is selected at random,

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Step-by-step explanation:

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= 273/364

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