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3 years ago

8 of 15%of what number

Mathematics

1 answer:

Harlamova29_29 [7]3 years ago

5 0

15% = 0.15
8 = 0.15x 
8/0.15 = x 
x = 53.33 or 160/3

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Jake’s map shows the distance from the Bake Stars Cafe to the restaurant supply store as 3 centimeters. If the scale of the map

Stolb23 [73]

Answer:

The real distance from shop to store is 24 kilometers.

Step-by-step explanation:

Given:

Distance from the Bake Stars Cafe to the restaurant supply store on map = 3 cm

Also Given:

Scale of the map 1 cm = 8 km

We need to find the real distance from the shop to the store.

Solution:

Now we know that;

Distance from shop to store on map =3 cm

1 cm = 8 km

3 cm = Real distance from shop to store

By using Unitary method we get;

Real distance from shop to store = $8\times3 =24 \ km$

Hence The real distance from shop to store is 24 kilometers.

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3 years ago

Julio signs a new lease for $800 and in the agreement the complex will raise his rent 3% each year that he renews. As of right n

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3 years ago

Consider the differential equation x2y′′ − 9xy′ + 24y = 0; x4, x6, (0, [infinity]). Verify that the given functions form a funda

pantera1 [17]

Answer:

The functions satisfy the differential equation and linearly independent since W(x)≠0

Therefore the general solution is

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Step-by-step explanation:

Given equation is

$x^2y'' - 9xy+24y=0$

This Euler Cauchy type differential equation.

So, we can let

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$y'= mx^{m-1}$

Again differentiate with respect to x

$y''= m(m-1)x^{m-2}$

Putting the value of y, y' and y'' in the differential equation

$x^2m(m-1) x^{m-2} - 9 x m x^{m-1}+24x^m=0$

$\Rightarrow m(m-1)x^m-9mx^m+24x^m=0$

$\Rightarrow m^2-m-9m+24=0$

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⇒m²-6m -4m+24=0

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⇒(m-6)(m-4)=0

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The general solution of this equation is

$y_1(x)=x^4$

and

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First we compute the Wronskian

$W(x)= \left|\begin{array}{cc}y_1(x)&y_2(x)\\y'_1(x)&y'_2(x)\end{array}\right|$

$= \left|\begin{array}{cc}x^4&x^6\\4x^3&6x^5\end{array}\right|$

=x⁴×6x⁵- x⁶×4x³

=6x⁹-4x⁹

=2x⁹

≠0

The functions satisfy the differential equation and linearly independent since W(x)≠0

Therefore the general solution is

$y= c_1x^4+c_2x^6$

5 0

3 years ago

How many ways can this be done?

RSB [31]

This can be solved 6 ways depending on how many numbers u have

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3 years ago

Read 2 more answers

Need help filling in the blanks

STALIN [3.7K]

Answer:

translated up 5 units and stretch by the factor 4

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3 years ago