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dem82 [27]
3 years ago
8

A turtle can walk 1/12 of a kilometer in an hour. The turtle is 1/5 of a kilometer away from a pond. At this speed how long will

it take the turtle to reach the pond
Mathematics
2 answers:
Cloud [144]3 years ago
4 0

Answer:

2.4 hours

Step-by-step explanation:

Get common denominators -

1/12 x 5/5 = 5/60

1/5 x 12/12 = 12/60

The turtle walks ata 5/60 a kilometer an hour.

divide remaining time by 5/60

(12/60) / (5/60) = 2.4 hours

Gwar [14]3 years ago
3 0

Answer:2.4 hour

Step-by-step explanation:

speed=1/12 of a km in an hour

Speed=1/12 km/hr

Distance=1/5km

Time=distance ➗ speed

Time=1/5 ➗ 1/12

Time=1/5 x 12/1

Time=12/5

Time=2.4 hour

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The radioactive isotope radium has a half-life of 1,600 years. The mass of a 100-gram sample of radium will be______ grams after
Olenka [21]
To solve this we are going to use the half life equation N(t)=N_{0} e^{( \frac{-0.693t}{t _{1/2} }) }
Where:
N_{0} is the initial sample
t is the time in years
t_{1/2} is the half life of the substance
N(t) is the remainder quantity after t years 

From the problem we know that:
N_{0} =100
t=200
t_{1/2} =1600

Lets replace those values in our equation to find N(t):
N(200) =100e^{( \frac{(-0.693)(200)}{1600}) }
N(200)=100e^{( \frac{-138.6}{1600} )}
N(200)=100e^{-0.086625}
N(200)=91.7

We can conclude that after 1600 years of radioactive decay, the mass of the 100-gram sample will be 91.7 grams.

8 0
3 years ago
Find the area.<br> 8 in<br> 19 in<br> 13 in<br> 1976 in²<br> 205 in²<br> 128 in²<br> 104 in²
sveticcg [70]

Total area = 104+24 = 128 sq.in ,  Option C is the right answer.

The missing figure is attached with the answer.

<h3>What is Area ?</h3>

The space occupied by a two dimensional figure is called Area.

The figure given in the question can be divided into two figure

A rectangle of 8 * 13 inch

and a triangle of 8 * 6 inch

The area of a rectangle is given by

Length * Breadth

8 * 13

= 104 sq.inch

The area of the triangle is given by

(1/2) * base * height

= (1/2) * 8 * 6

= 24 sq.inch

Total area = 104+24 = 128 sq.in

Therefore Option C is the right answer.

To know more about Area

brainly.com/question/27683633

#SPJ1

6 0
2 years ago
3^x= 3*2^x solve this equation​
kompoz [17]

In the equation

3^x = 3\cdot 2^x

divide both sides by 2^x to get

\dfrac{3^x}{2^x} = 3 \cdot \dfrac{2^x}{2^x} \\\\ \implies \left(\dfrac32\right)^x = 3

Take the base-3/2 logarithm of both sides:

\log_{3/2}\left(\dfrac32\right)^x = \log_{3/2}(3) \\\\ \implies x \log_{3/2}\left(\dfrac 32\right) = \log_{3/2}(3) \\\\ \implies \boxed{x = \log_{3/2}(3)}

Alternatively, you can divide both sides by 3^x:

\dfrac{3^x}{3^x} = \dfrac{3\cdot 2^x}{3^x} \\\\ \implies 1 = 3 \cdot\left(\dfrac23\right)^x \\\\ \implies \left(\dfrac23\right)^x = \dfrac13

Then take the base-2/3 logarith of both sides to get

\log_{2/3}\left(2/3\right)^x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x \log_{2/3}\left(\dfrac23\right) = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(3^{-1}\right) \\\\ \implies \boxed{x = -\log_{2/3}(3)}

(Both answers are equivalent)

8 0
3 years ago
12x+5y3z, where ​x=12​, y = 6, and z = 3
mestny [16]

Answer:

12×x+5y×3z

12×12+5×6×3×3

144+30×9

174×9

1,566.

that's what I found out.

8 0
2 years ago
ABCD is a square. <br><br><br><br> What is the measure of angle BAC?
bezimeni [28]
Angle BAC is 45 degrees. The diagonal bisects angle BAD and since all angles in a square are 90 degrees, half of 90 is 45 degrees.
8 0
3 years ago
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