Cell phone bills are based on a flat

Oxana [17]

Answer:

0.8 OR $\frac{4}{5}$

Step-by-step explanation:

The reciprocal of any number is the number that it multiplies by to equal 1.

The reciprocal can be found by simply converting the number into a fraction and then 'flipping' the fraction as any number multiplied by its reciprocal is 1.

E.g.

No. X/Y * Y/X (its reciprocal) = 1

$\frac{x}{y} *\frac{y}{x} =\frac{xy}{xy} =1$

So, to find the reciprocal of 1.25,we should first convert 1.25 to a fraction.

1.25 = 125/100

$\frac{125/25}{100/25}=\frac{5}{4}$

Now we just flip 5/4 to get our reciprocal:

$\frac{4}{5}$ = 0.8

Test: 0.8 * 1.25 = 1

The reciprocal of 1.25 ( $\frac{5}{4}$ ) is 0.8 ( $\frac{4}{5}$ ).

Hope this helped!

8 0

3 years ago

A triangular lamina has vertices (0, 0), (0, 1) and (c, 0) for some positive constant c. Assuming constant mass density, show th

a_sh-v [17]

The equation of the line through (0, 1) and (c, 0) is

y - 0 = (0 - 1)/(c - 0) (x - c) ==> y = 1 - x/c

Let L denote the given lamina,

L = {(x, y) : 0 ≤ x ≤ c and 0 ≤ y ≤ 1 - x/c}

Then the center of mass of L is the point $(\bar x,\bar y)$ with coordinates given by

$\bar x = \dfrac{M_x}m \text{ and } \bar y = \dfrac{M_y}m$

where $M_x$ is the first moment of L about the x-axis, $M_y$ is the first moment about the y-axis, and m is the mass of L. We only care about the y-coordinate, of course.

Let ρ be the mass density of L. Then L has a mass of

$\displaystyle m = \iint_L \rho \,\mathrm dA = \rho\int_0^c\int_0^{1-\frac xc}\mathrm dy\,\mathrm dx = \frac{\rho c}2$

Now we compute the first moment about the y-axis:

$\displaystyle M_y = \iint_L x\rho\,\mathrm dA = \rho \int_0^c\int_0^{1-\frac xc}x\,\mathrm dy\,\mathrm dx = \frac{\rho c^2}6$

Then

$\bar y = \dfrac{M_y}m = \dfrac{\dfrac{\rho c^2}6}{\dfrac{\rho c}2} = \dfrac c3$

but this clearly isn't independent of c ...

Maybe the x-coordinate was intended? Because we would have had

$\displaystyle M_x = \iint_L y\rho\,\mathrm dA = \rho \int_0^c\int_0^{1-\frac xc}y\,\mathrm dy\,\mathrm dx = \frac{\rho c}6$

and we get

$\bar x = \dfrac{M_x}m = \dfrac{\dfrac{\rho c}6}{\dfrac{\rho c}2} = \dfrac13$

8 0

3 years ago

A garden supply store sells two types of lawn mowers.Total sales of mowers for the year were $8379.79. The total number of mower

kherson [118]

Value + value = 8379.70
249.99x + 329.99*30-329.99x = 8379.70
-80x + 9899.70 = 8379.70
-80x = -1520.00
x = 19 (number of the cheaper mowers sold)
30-x = 11 (number of more expensive mowers sold)

3 0

4 years ago

Read 2 more answers

What is the end behavior of g(x) = (x + 7)(x + 1)(x − 1)  ? Will give Brainiest

nadezda [96]

Answer:

Step-by-step explanation:

the end behavior refers to what happens when x approaches negative infinity and infinity

as x approaches negative infinity (to the left), the values are all negative inside the parentheses so multiplying -∞ * -∞ * -∞, you get g(x) approaches -∞ as x approaches -∞

as x approaches ∞(to the right), the values inside the parentheses are all positive ∞ so multiplying ∞*∞*∞, you get g(x) approaches ∞ as x approaches ∞

8 0

3 years ago

The scale factor of the blueprint of a front door to the actual front door is 0.04. The area of the actual front door is 36ft2.

Serjik [45]

1.44ft2. I worked it out on paper and that is what came out of the problem

7 0

4 years ago

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