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2 years ago

7

What is the value of x?

1 answer:

Anit [1.1K]2 years ago

7 0

Answer:

Step-by-step explanation:

Set this up according to the Triangle Proportionality Theorem:

$\frac{3x}{4x}=\frac{3x+7}{5x-8}$

Cross multiply to get

$3x(5x-8)=4x(3x+7)$

and simplify to get

$15x^2-24x=12x^2+28x$

Get everything on one side of the equals sign and solve for x:

$3x^2-52x=0$ and

$x(3x-52)=0$

By the Zero Product Property,

x = 0 or 3x - 52 = 0 so x = 17 1/3

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Timmy is building a new website. Right after he starts, he has 2 visitors. He expects his visitors to increase according to a mo

Alex73 [517]

Answer:

He gets 42 visitors 4 weeks after starting to build his website.

He gets 10 new visitors per week.

Step-by-step explanation:

Equation for the number of visitors:

The equation for the number of visitors Timmy's new website receives after t weeks is:

$v(t) = 10t + b$

In which b is the number of visitors rightly after he starts.

Timmy is building a new website. Right after he starts, he has 2 visitors.

This means that $b = 2$ , so:

$v(t) = 10t + 2$

How many visitors does he get 4 weeks after starting to build his website?

This is v(4). So

$v(4) = 10(4) + 2 = 40 + 2 = 42$

He gets 42 visitors 4 weeks after starting to build his website.

How any new visitors does he get per week?

After 0 weeks:

$v(0) = 10(0) + 2 = 0 + 2 = 2$

After 1 week:

$v(1) = 10(1) + 2 = 10 + 2 = 12$

2 weeks:

After 2 week:

$v(2) = 10(2) + 2 = 20 + 2 = 22$

22 - 12 = 12 - 2 = 10

He gets 10 new visitors per week.

5 0

2 years ago

Volume of sun is 1.4×10^18 and volume of earth is 1.1×10^12 how many earth can fit in the sun

Advocard [28]

$\frac{1.4\cdot10^{18}}{1.1\cdot10^{12}}=
1.(27)\cdot10^6=1272727.(27)$

$1272727 \hbox{ Earths}$

6 0

2 years ago

Jeremiah jogged 3 3/4 miles on Saturday morning and 2 1/2 miles Saturday evening. How many miles did he jog on Saturday?

Digiron [165]

Answer:

6.25 Miles

6 1/4

Step-by-step explanation:

3 + 2 = 5 MILES

1/2 you want the denominator to equal 4 so you times it by two

= 2/4

2/4+3/4= 5/4

this gives you one full mile and 1/4

add all together 5+1+1/4

I am picking this is right :)

7 0

3 years ago

Read 2 more answers

81.08% of 37 hours<br> (Answer in minutes please)

Fofino [41]

It would be: 37 × 0.8108 = 30 hours (approx.)

Now, we know, 1 hour = 60 min.
so, 30 hours = 60 × 30 = 1800 min.

In short, Your Answer would be 1800 min

Hope this helps!

6 0

3 years ago

Read 2 more answers

(b) dy/dx = (x - y+ 1)^2

Elanso [62]

Substitute $v(x)=x-y(x)+1$ , so that

$\dfrac{\mathrm dv}{\mathrm dx}=1-\dfrac{\mathrm dy}{\mathrm dx}$

Then the resulting ODE in $v(x)$ is separable, with

$1-\dfrac{\mathrm dv}{\mathrm dx}=v^2\implies\dfrac{\mathrm dv}{1-v^2}=\mathrm dx$

On the left, we can split into partial fractions:

$\dfrac12\left(\dfrac1{1-v}+\dfrac1{1+v}\right)\mathrm dv=\mathrm dx$

Integrating both sides gives

$\dfrac{\ln|1-v|+\ln|1+v|}2=x+C$

$\dfrac12\ln|1-v^2|=x+C$

$1-v^2=e^{2x+C}$

$v=\pm\sqrt{1-Ce^{2x}}$

Now solve for $y(x)$ :

$x-y+1=\pm\sqrt{1-Ce^{2x}}$

$\boxed{y=x+1\pm\sqrt{1-Ce^{2x}}}$

3 0

3 years ago