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2 years ago

Ninety percent of a town’s population owns cars. If the number of cars owned is 4761, what is the population of the town?

Mathematics

2 answers:

Gala2k [10]2 years ago

8 0

Write an equation. Use x for the population of the town.

90% of the population is the same as 90% of x.

To change a percent into a decimal, divide the percent by 100.

90/100 = 0.9, so 90% is the same as 0.9.

Now we write an equation.

0.9x = 4761

Divide both sides by 0.9:

x = 4761/0.9

x = 5290

Answer: The population of the town is 5290.

Nuetrik [128]2 years ago

3 0

We can write an equation of this, with p representing the unknown population. We know that 90% of the population owns cars:

90% * p

We also know that 4761 people own cars, which is the same as the above expression, so we write:

90% * p = 4761.

From there, you just divide both sides by 90%, or 0.9

p = 4761/0.9 = 5290

The population is 5290 people.

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Please please help!! I'm not sure if I have the right answer!!

lana [24]

Answer: The area of the sector formed by central angle AOB is 5/8 th of the total area of the circle.

Step-by-step explanation:

Let r be the radius of the circle having the center O,

⇒ The area of the circle = $\pi r^2$ square unit.

And, the central angle AOB = $\frac{5\pi}{4}\text{ radian}$

$=(\frac{5\pi}{4}\times \frac{180}{\pi})^{\circ}$ ( since, $\pi$ = 180° )

$=(\frac{900}{4})^{\circ}$

$=225^{\circ}$

Hence, the area of sector AOB

$=\frac{225^{\circ}}{360^{\circ}}\times \pi r^2$

$=\frac{5}{8}\times \pi r^2$ square unit.

Now,

$\frac{\text{Area of sector AOB}}{\text{Area of circle}}=\frac{\frac{5}{8}\times \pi r^2}{\pi r^2}$

$=\frac{5}{8}$

⇒ Area of sector AOB = 5/8 × Area of the circle.

Hence, the area of the sector formed by central angle AOB is 5/8 th of the total area of the circle.

6 0

3 years ago

Read 2 more answers

Explain the steps needed to determine the value of the expression shown below be sure to provide the correct value of the expres

inn [45]

Answer:

-3/2

Step-by-step explanation:

In the picture attached, the complete question is shown.

The expression is:

$\frac{ \frac{1}{2} }{ \frac{-2}{5}} + \frac{-1}{4}$

You can rewrite the first term, expressing the division as a multiplication, that is, inverting the fraction in the denominator, as follows:

$\frac{1}{2} \times \frac{-5}{2}+ \frac{-1}{4}$

$\frac{-5}{4} + \frac{-1}{4}$

The addition of a negative fraction is simply the subtraction by that fraction:

$\frac{-5}{4} - \frac{1}{4}$

$\frac{-5 - 1}{4}$

$\frac{-6}{4}$

Which can be simplified dividing by two both numerator and denominator:

$\frac{-3}{2}$

8 0

2 years ago

a closed cardboard box is a cuboid with a base of 63cm by 25cm.the box is 30 cm heigh, calculate the total surface area of the b

andrew11 [14]

Answer:

8430cm²

Step-by-step explanation:

=2(63 x 30) + 2(25 x 30) + 2(63 x 25)

= 3780 + 1500 + 3150

= 8430 cm²

7 0

2 years ago

(4, -2), y = –2x + 3<br><br> PLS HELP HOW DO I DO THIS?

Alex787 [66]

It looks like your instructor wants you to write in point-slope form.

the equation for point slope form is quite simple

y-y1=m(x-x1)

your variables:

y and x: just state these as they are

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y1 and x1: the numbers in the point given

keep in mind a double negative equals a positive, so when you come across a negative coordinate you would put + instead of - in your equation.

your final answer would be

y+2=-2(x-4)

I hope this helped :)

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2 years ago

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OlgaM077 [116]

Step-by-step explanation:

Thr triangles are similar if any two sides are proportional.

In this, we cannot see any proportional sides, like

DU should be proportional to UT, it is not.

SU should be equal to UE ,it is not.

So, The triangles are not similar.

Hope it helps :)

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3 years ago