A rectangle has a length of 6x-5y+1 if the perimeter of the rectangle is 16x-4y-4 determine an expression for its width

Mathematics

1 answer:

dimaraw [331]1 year ago

4 0

Answer:

Width = 3y - 3

Step-by-step explanation:

P = 2l + 2w

12x - 4y - 4 = 2(6x - 5y + 1) + 2w

12x - 4y - 4 = (12x - 10y + 2) + 2w

6y - 6 = 2w

w = 3y - 3

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The diameter of a sphere is 4 centimeters.

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The volume of a sphere refers to the number of cubic units that will exactly fill a sphere. The volume of a sphere can be found or calculate by using the formula V=4/3πr^3, where r represents the radius of the figure.

In this exercise is given that a sphere has a radius of 4 centimeters and it is asked to find its volume and use 3.14 as the value of π or pi. The first step would be substitute the values into the previous mention formula.

V=4/3πr^3
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3 years ago

Read 2 more answers

Rewrite -4/15 as an equivalent fraction

timofeeve [1]

$(\frac{-4}{5} )$ in the form of Equivalent Fraction can be written as $\frac{-4x}{15x}$ , where "x" is any integer.

As per the question statement, we are provided with a fraction, $(\frac{-4}{5} )$ .

We are required to rewrite the above mentioned fraction in the form of a general Equivalent Fraction.

To solve this question, we need to know what an equivalent fraction is.

Equivalent fractions are those fractions that have different numerators and denominators but are equal to the same value, when simplified.

For example, $(\frac{1}{2}, \frac{2}{4}, \frac{3}{6}, \frac{4}{8})$ all equate to $\frac{1}{2}$ when simplified.

Now, for this case, equivalent fractions of $(\frac{-4}{5} )$ are $(\frac{-8}{30}, \frac{-12}{45}, \frac{-16}{60},...)$ , where

$\frac{-8}{30}=\frac{(-4)*2}{15*2}\\\frac{-12}{45}=\frac{(-4)*3}{15*3}\\ \frac{-16}{60}=\frac{(-4)*4}{15*4}$

i.e., the equivalent fractions of $(\frac{-4}{5} )$ are in the form of $\frac{-4x}{15x}$ , where "x" can be any integer, (...-6, -5, -4, -3, -2, -1, 2, 3, 4, 5, 6...)