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4 years ago

Ls 0.5 equal to 0.500

2 answers:

6 0

Yes, because no matter how many zero's you put at the end of a tenth, it still equals the same. (Ex. 0.9 = 0.9000000000000000000000)

erastovalidia [21]4 years ago

5 0

Yes because you can add zeros to the end of the number and still be the same number.

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Pipe A can fill a tank in 5 hours. Pipe B can fill it in 2 hours less time than it takes pipe C, a draining pipe, to empty the t

sukhopar [10]

Answer: Time taken by pipe C to empty the tank = 5 hours.

Step-by-step explanation:

Pipe A can fill a tank in 5 hours.

Let time taken by Pipe C = x ( hours)

Time taken by Pipe B = x-2 ( hours)

Now, with all 3 pipes open, it takes 3 hours to fill the tank, it can be represented as

$\dfrac15+\dfrac1{x-2}-\dfrac1x=\dfrac 13\\\\\Rightarrow\ \dfrac{x-(x-2)}{x(x-2)}=\dfrac13-\dfrac15\\\\\Rightarrow\ \dfrac{x-x+2}{x^2-2x}=\dfrac{5-3}{15}\\\\\Rightarrow \dfrac{2}{x^2-2x}=\dfrac2{15}\\\\\Rightarrow\ x^2-2x=15\\\\\Rightarrow\ x^2-2x-15=0\\\\\Rightarrrow\ x^2-5x+3x-15=0\\\\\Rightarrow\ x(x-5)+3(x-5)=0\\\\\Rightarrow\ (x-5)(x+3)=0\\\\\Rightarrow\ x=5, -3$

Time cannot be negative,

So, x=5

Thus, Time taken by pipe C to empty the tank = 5 hours.

8 0

3 years ago

The endpoints of one side of an equilateral triangle are -2 and 4 on the number line. Find the area and perimeter of this triang

Kitty [74]

Since each side of this triangle is 6 units long, the perimeter would be 6+6+6=18 units. The area would be about 15.6 units.

7 0

3 years ago

Which of the following equations has the same solutions as the equation 3x+2y=-12? Check all that apply.

grigory [225]

ANSWER

$B,C,E \: and \: F$

EXPLANATION

The given equation is
$3x + 2y = - 12$

The solution to this equation can be found by making y the subject.

$\Rightarrow \: 2y = - 3x - 12$

$\Rightarrow \: y = - \frac{3}{2} x - 6$
This equation has infinitely many solution. Any real value we choose for x, there is a corresponding y-value.

To find which of the given options also has the same solution, we make y the subject.

A

$3x - 2y = 12$

$\Rightarrow \: - 2y = - 3x + 12$

$\Rightarrow \: y = \frac{3}{2} x - 6$

This is not the same as the given equation.

B

$- 3x - 2y = 12$

$\Rightarrow \: - 2y = 3x + 12$

$\Rightarrow \: y = - \frac{3}{2} x - 6$

This solution is the same as the one given.

C.
$15x + 10y = - 60$

$\Rightarrow \: 10y = - 15x - 60$

$\Rightarrow \: y = - \frac{15}{10} x - \frac{60}{10}$

$\Rightarrow \: y = - \frac{3}{2} x - 6$

This is the same as the above solution.

D.
$6x + 2y = - 12$

$\Rightarrow \: 2y = - 6x - 12$

$\Rightarrow \: y = - 3 x - 6$

This is not the same as the one given.

E.

$6x + 4y = - 24$

$\Rightarrow \: 4y = - 6x - 24$

$\Rightarrow \: y = - \frac{6}{4} x - \frac{24}{4}$

$\Rightarrow \: y = - \frac{3}{2} x - 6$

This is the same as the one given.

F.

$1.5x + y = - 6$

$\Rightarrow \: y = - 1.5x - 6$

$\Rightarrow \: y = - \frac{3}{2} x - 6$

Thus is the same as the one given.

G.
$x + \frac{2}{3} y = - 12$

$\Rightarrow \: \frac{2}{3} y = - x - 12$

$\Rightarrow \: y = - \frac{3}{2} x - 12 \times \frac{3}{2}$

$\Rightarrow \: y = - \frac{3}{2} x - 18$

This is not the same as the one given.

4 0

3 years ago

Read 2 more answers

Suppose you and your three friends have two dice each. When everyone rolls, what are the chances that there is at least one 6?

Nina [5.8K]

...with 6 dice

15,625 / 46,656

33.49 %

31,031 / 46,656

66.51 %

6 0

3 years ago

Which of the following functions has a zero at x=-2

MaRussiya [10]

Plug in -2 for x for every function and set every function to 0. If it equals 0 then there's a "zero" at x=-2

Example A: 0 = (-2+2)^2 - 5 = 0 - 5 = -5 <-- This does not = 0 so it's not the answer

3 0

3 years ago