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3 years ago

Are these ratios equivalent? 45/75 and 3/5

Mathematics

2 answers:

Tems11 [23]3 years ago

7 0

Answer: Yes, 45/75 simplifies to 3/5

sesenic [268]3 years ago

3 0

Yes, because if you multiply 45 and 5, it is 225. If you multiply 75 and 3, it is also 225. Just multiply right numerator with left denominator, then multiply left numerator with right denominator.

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Find the derivative. y = 5/ (2root4(x^3))

DedPeter [7]

$\bf y=\cfrac{5}{2\sqrt[4]{x^3}}\implies y=\cfrac{5}{2}\cdot x^{-\frac{3}{4}}\\\\
-----------------------------\\\\
\cfrac{dy}{dx}=\cfrac{5}{2}\left( -\cfrac{3}{4}x^{-\frac{3}{4}-1} \right)\implies 
\cfrac{dy}{dx}=\cfrac{5}{2}\left( -\cfrac{3}{4}x^{-\frac{7}{4}} \right)
\\\\\\
 
\cfrac{dy}{dx}=-\cfrac{15}{8}\cdot x^{-\frac{7}{4}} 
\implies 
\cfrac{dy}{dx}=-\cfrac{15}{8}\cdot \cfrac{1}{x^{\frac{7}{4}} }
\\\\\\
$

$\bf
\cfrac{dy}{dx}=-\cfrac{15}{8x^{\frac{7}{4}}}\implies 
\cfrac{dy}{dx}=-\cfrac{15}{8\sqrt[4]{x^7}}\\\\\\ \cfrac{dy}{dx}=-\cfrac{15}{8x\sqrt[4]{x^3}}
$

3 0

3 years ago

The sum of four numbers is 1,320. The sum of three of the numbers is 40% more than the other number, x. What is the value of x ?

ziro4ka [17]

Answer:

550

Step-by-step explanation:

We aren't given that they are consecutive so lets just pretend the numbers are x, y, z , and r.

We are given x+y+z+r=1320

We are also given that y+z+r=.4x+x

Simplifying my second equation gives us y+z+r=1.4x. I'm going to plug this into first equation giving me

x+1.4x=1320

2.4x=1320

So x=1320/2.4=550

6 0

4 years ago

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Find the distance between the pair of points (0,0)(6,8)

Ivahew [28]

A(0,0)
B=(6,8)

Distance formula

$\boxed{\sf AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}$

$\\ \sf\longmapsto \sqrt{(6 - 0) {}^{2} + {(8 - 0)}^{2} } \\ \\ \sf\longmapsto \sqrt{ {6}^{2} + {8}^{2} } \\ \\ \sf\longmapsto \sqrt{36 + 64 } \\ \\ \sf\longmapsto \sqrt{100} \\ \\ \sf\longmapsto 10$

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3 years ago

Solve 2/3+5/6 and put answer in simplest form A)3/2 B)9/6 C)7/6 D)2/3

Mice21 [21]

It would be 9/6 which simplifies to 3/2

5 0

3 years ago

Is 8 x 2/8 less than 8 or greater than 8

Orlov [11]

It is less because 8(2/8) would equal 2

3 0

3 years ago

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