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2 years ago

Find two postive numbers such that the ratio of the two numbers is 5 to 3 and the product of the two numbers is 540.

Mathematics

2 answers:

svet-max [94.6K]2 years ago

8 0

Answer:

337.5 and also 202.5

Step-by-step explanation:

do 8x = 540 since 5 and 3 are in a ratio... so you get 5x plus 3x. Then you solve for x and get 67.5..67.5 times 3 is 202.5 and 67.5 times 5 is 337.5.

Greeley [361]2 years ago

3 0

Answer:

<h2> $lets \: number \: to \: be \: 5x \: and \: 3x \\ a.c \: \: \: \: \: (5x) \times (3x) = 540 \\ 15 {x}^{2} = 540 \\ {x}^{2} = \frac{540}{15} \\ {x}^{2} = 36 \\ x = \sqrt{36} \\ x = 6 \\ so \: number \: will \: be \\ 5x = 5 \times 6 = 30 \\ 3x = 3 \times 6 = 18 \\$ </h2><h2>mark it as a Breallent answer </h2><h2>and like❤</h2>

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Now try 50 for x. If x=50,what I'd y when y=x-20? Does that work with the other equation?

SSSSS [86.1K]

X= 50
Replace the x with the given number.
Y= 50-20
Y= 30

5 0

2 years ago

Among two supplementary angles, the measure of the larger angle is 44°

zhuklara [117]

Answer:

68° and 112°

Step-by-step explanation:

Supplementary angles sum to 180°

let the smaller angle be x then the larger angle is x + 44 , then

x + x + 44 = 180 , that is

2x + 44 = 180 ( subtract 44 from both sides )

2x = 136 ( divide both sides by 2 )

x = 68

Smaller angle = 68° and

larger angle = x + 44 = 68 + 44 = 112°

6 0

2 years ago

Find the distance from P to l.

ki77a [65]

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$Point-line\ distance\\l:Ax+By+C=0;\ (x_0;\ y_0)\\\\d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+B^2}}\\\\x+y+2=0\to A=1;\ B=1;\ C=2\\(1;\ 2)\to x_0=1;\ y_0=2\\subtitute\\\\d=\dfrac{|1\cdot1+1\cdot2+2|}{\sqrt{1^2+1^2}}=\dfrac{|1+2+2|}{\sqrt2}=\dfrac{|5|}{\sqrt2}=\dfrac{5}{\sqrt2}=\dfrac{5\cdot\sqrt2}{\sqrt2\cdot\sqrt2}\\\\=\boxed{\dfrac{5\sqrt2}{2}}$

4 0

3 years ago

Two problems here I need solved! I need every step, so please have that with your answers!!

Free_Kalibri [48]

QUESTION 1

We want to solve,

$\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{x^{2}-6x+8}$

We factor the denominator of the fraction on the right hand side to get,

$\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{x^{2}-4x - 2x+8}.$

This implies
$\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{x(x-4) - 2(x - 4)}.$

$\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{(x-4)(x - 2)}$

We multiply through by LCM of
$(x-4)(x - 2)$

$(x - 2) + x(x-4) = 2$

We expand to get,

$x - 2 + {x}^{2} - 4x= 2$

We group like terms and equate everything to zero,

${x}^{2} + x - 4x - 2 - 2 = 0$

We split the middle term,

${x}^{2} + - 3x - 4 = 0$

We factor to get,

${x}^{2} + x - 4x- 4 = 0$

$x(x + 1) - 4(x + 1) = 0$

$(x + 1)(x - 4) = 0$

$x + 1 = 0 \: or \: x - 4 = 0$

$x = - 1 \: or \: x = 4$

But
$x = 4$
is not in the domain of the given equation.

It is an extraneous solution.

$\therefore \: x = - 1$
is the only solution.

QUESTION 2

$\sqrt{x+11} -x=-1$

We add x to both sides,

$\sqrt{x+11} =x-1$

We square both sides,

$x + 11 = (x - 1)^{2}$

We expand to get,

$x + 11 = {x}^{2} - 2x + 1$

This implies,

${x}^{2} - 3x - 10 = 0$

We solve this quadratic equation by factorization,

${x}^{2} - 5x + 2x - 10 = 0$

$x(x - 5) + 2(x - 5) = 0$

$(x + 2)(x - 5) = 0$

$x + 2 = 0 \: or \: x - 5 = 0$

$x = - 2 \: or \: x = 5$

But
$x = - 2$
is an extraneous solution

$\therefore \: x = 5$

7 0

3 years ago

Mia is calculating the volume of the cylinder below using the following work. A cylinder with height of 47 meters and diameter o

inn [45]

Mia’s first error was " she forgot to multiply π by (17.5)²(47) "

Step-by-step explanation:

The formula of the volume of a cylinder is V = π r² h, where

r is the radius of the base of the cylinder
h is the height of the cylinder

∵ The diameter of the base of the cylinder is 35 meters

∵ The radius = $\frac{1}{2}$ × diameter

∴ The radius = $\frac{1}{2}$ × 35 = 17.5 meters

∴ r = 17.5

∵ The height of the cylinder = 47 meters

∴ h = 47

- Substitute r and h in the formula of the volume

∴ V = π (17.5)²(47)

∵ Mai's first step is V = (17.5)²(47)

- She forgot to put π

∴ Her first error is she forgot to multiply π by (17.5)²(47)

Mia’s first error was " she forgot to multiply π by (17.5)²(47) "

Learn more:

You can learn more about the volume in brainly.com/question/6443737

#LearnwithBrainly

3 0

3 years ago

Read 2 more answers