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3 years ago

360 miles in 6 hours

Mathematics

1 answer:

Ahat [919]3 years ago

7 0

6=360
60=3600
600=36000
6000=360000
60000=3600000

And so on and so on.

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Two candles of equal length are lit at the same time. One candle takes 6 hours to burn out, and the other takes 9 hours to burn

GuDViN [60]

Answer:

4.5 hours

Step-by-step explanation:

Given: One candle takes 6 hour to burn out

Other candle takes 9 hours to burn out.

Lets assume the time at which slower burning candle be exactly twice as long as the faster burning one be "x". and lenght of candle initially be "1".

Taking one candle as Candle A

Other candle as Candle B.

As given both the candle is of equal length.

Now, putting up the equation to find the time at which lenght of candle B is twice as candle A.

∴ Length of candle= $2(1-\frac{x}{6} )= (1-\frac{x}{9})$

Solving it knowing length is constant and using distributive property of multiplication

⇒ $2-\frac{2x}{6} = 1-\frac{x}{9}$

subtracting both side by 2

⇒ $\frac{-2x}{6} = -1 -\frac{x}{9}$

Adding both side by $\frac{x}{9}$

⇒ $-\frac{2x}{6} +\frac{x}{9} = -1$

Taking LCD of 9 and 6 as 18

⇒ $\frac{-2x\times 3+x\times 2}{18}= -1$

Multiplying both side by 18

⇒ $-6x+2x= -18$

⇒ $-4x= -18$

Multiplying both side by -4

⇒ x= $\frac{-18}{-4}= \frac{9}{2}$

∴ x= 4.5 hours

Hence, 4.5 hours is the time at which slower burning candle be exactly twice as long as the faster burning one.

5 0

3 years ago

Convert 14 ft in yd and ft

almond37 [142]

multiply 3 by 14 it equals 42...

hope this helpes...

3 0

3 years ago

What is 1/2 in decimal form

Lady_Fox [76]

1/2 in decimal form is 0.5
0/2 is equal to 0 because the numerator has a 0.
2/2 is equal to 1, because the numerator matches the denominator.

3 0

4 years ago

Read 2 more answers

Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and th

White raven [17]

Let

t--------> the time in hours

d-------> the distance in miles

we know that

$d=16t$

this is a linear equation that represent the scenario

in this equation the independent variable is the time t and the dependent variable is the distance d

The distance's equation in function notation is equal to

$f(t)=16t$

Using a graph tool

see the attached figure

The domain of the function is the interval----------> [0,∞)

$t\geq0$

The range of the function is the interval-------> [0,∞)

$f(t)\geq0$

Statements

a) The independent variable, the input, is the variable d, representing distance

The statement is false

Because the independent variable is the variable t

b) The distance traveled depends on the amount of time Marlene rides her bike

The statement is true

Because the distance's equation in function notation is equal to

$f(t)=16t$

c) The initial value of the scenario is 16 miles per hour

The statement is false

Because $16$ represent the rate or the slope of the linear equation

d) The equation t = d + 16 represents the scenario

The statement is false

Because, the scenario is represented by the function $f(t)=16t$

e) The function f(t) = 16t represents the scenario

The statement is true

8 0

3 years ago

Read 2 more answers

How do you write square root of 72 in algebra?

cupoosta [38]

You would have the square root symbol (called a radical) over the number 72. But if you mean to simplify it, you can keep in mind that 9 x 3 = 72 and the square root of 9 is 3, so then your answer would be

3(radical)3

Hope that's not too confusing!

8 0

3 years ago