All categories

3 years ago

What expression is equivalent to 18 1/5 - (-22 2/5) - (-40 1/5)

Mathematics

1 answer:

babunello [35]3 years ago

8 0

The answer to the question is 80 4/5

You might be interested in

A small cube with side length 6y is placed inside a larger cube with side length 4/2. What is the difference in the

Leokris [45]

Answer:

Step-by-step explanation:

Side length of a small cube = 6y

Side length of a larger cube = 4x²

This small cube is placed inside a larger cube. We need to find the difference in the volume of the cubes.

Volume of small cube, $V_1=(6y)^3=216y^3$

Volume of lager cube,

$V_2=(4x^2)^3\\\\=64x^6$

Difference in the volume of the cubes,

$\Delta V=V_2-V_1\\\\=64x^6-216y^3$

We can simplify the above expression :

$\because \ (a^3-b^3)=(a-b)(a^2+ab+b^2)\\\\(4x^2)^3-(6y)^3=(4x^2-6y)((4x^2)^2+4x^2\times 6y +(6y)^2)\\\\=(4x^2-6y)(16x^4+24x^2y+36y^2)$

So, the difference in the volumes of the cubes is $(4x^2-6y)(16x^4+24x^2y+36y^2)$ .

3 0

3 years ago

Is the relation a function?<br> {(10,5), (1, 8), (3, 3), (4, 2), (1, 7)}

AnnyKZ [126]

yes because none of the x values are the same bb ♡

7 0

3 years ago

Read 2 more answers

PLEASE HELP ME

Nata [24]

Answer:

obtuse angled triangle

Step-by-step explanation:

one angle is more than 90

3 0

2 years ago

willa purchases is a vase for her kitchen that is shaped like a cube and will hold 125 cubic inches of water. what are the lengt

Hatshy [7]

Find the cube root of 125. ∛125 = 5. Each side length will be 5 inches.

3 0

3 years ago

What is the simplest radical form of the expression? (x^3y^5)^(4/3)

satela [25.4K]

$\bf ~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (x^3y^5)^{\frac{4}{3}}\implies \left( x^{3\cdot \frac{4}{3}}y^{5\cdot \frac{4}{3}} \right)\implies x^4y^{\frac{20}{3}}\implies x^4 y^{\frac{18}{3}+\frac{2}{3}}\implies x^4 y^{\frac{18}{3}} y^{\frac{2}{3}} \\\\\\ x^4y^6 y^{\frac{2}{3}}\implies x^4y^6\sqrt[3]{y^2}$

5 0

4 years ago