2/3 x 12 write in simplest form.

A chess club with 25 members is electing a new president. Abdul received 23 votes. What percentage of the club members voted for

cluponka [151]

Answer

92%

Explanation

23 out of 25 people voted Abdul.

So that means $\frac{23}{25}$ people voted Abdul.

When you divide 23 by 25 you get 0.92 which is 92% (multiply by 100).

You divide because a fraction means the numerator divided by the denominator.

8 0

3 years ago

An object is moving at a speed of 390 centimeters per hour. Express this speed in kilometers per week. Round your answer to the

Likurg_2 [28]

Answer:2700

Step-by-step explanation:

6 0

3 years ago

How many hours will it take a culture of bacteria to increase from 20 to 2000 if the growth rate per hour is 85%

Eddi Din [679]

So you are seeing how much time it'll take so you solve for "t", the time.
So you take the formula A=Pe^(rt) 
A=2000 because it's the end value 
P=20 because it's the starting value 
r=.85 since 85%=.85 and .85 is the rate 
Plug the values in and you get 2000=20e^(.85t) 
What you do is you divide by 20 so you get 100=e^(.85t) 
Take the natural logarithm of both sides 'cause of e and a natural log is written as ln so you get 
ln 100=.85t ln e and because you can use the power rule you end up with .85t ln e and 
ln e=1 so you have ln 100 = .85t so you divide by .85 so (ln 100)/.85=t and t=5.4178472776331 
hours 
3. Exponential decay: 
A= Pe^(rt) 
where 
A is the final amount 
P is the initial value 
r is rate of decay 
t is time (years) 
Let's say x is the initial amount then (1/2)x=xe^(32r) 
I used x because the value isn't given but anyway division by x would give you 1/2=e^(32r) 
Take the ln of both sides so ln 1/2=32r ln e and then ln e=1 so ln 1/2=32r. 
Divide both sides by 32 and you'd get (ln 1/2)/32=r and r= -0.021660849392498 
4. Another depreciation question. 
Each year the item retains 88% of its last-year value. 
Solve: 250,000(0.88)^x = 100,000 
0.88^x = 0.4 
x = [log0.4]/[log0.88] 
x = 7.168 years

8 0

3 years ago

The cost for 50 bananas at the sams grocery store is $10 if Sara wants to purchase only one banana how much will it cost

inna [77]

50bananas=$10
divide both sides by 50
1banana=$10/50
1banana=$1/5
1banana=$0.20

1 banana is 20 cents oor $0.20

3 0

3 years ago

Estimate the perimeter and the area of the shaded figure to the nearest whole number.

soldier1979 [14.2K]

Answer:

Step-by-step explanation:

The area and perimeter of the given shaded figure are respectively 33.12 unit² and 20.56 units.

Area and perimeter-based problem:

What information do we have?

Radius of semi-circle = 8 / 2 = 4 unit

Length of remain Rectangle = 8 unit

Width of remain Rectangle = 2 unit

Perimeter of shaded figure = πr + (l + 2b)

Perimeter of shaded figure = (3.14)(4) + [4 + (2)(2)]

Perimeter of shaded figure = 12.56 + 4 + 4

Perimeter of shaded figure = 20.56 units

Area of shaded figure = πr²/2 + lb/2

Area of shaded figure = (3.14)(4)²/2 + (8)(2)/2

Area of shaded figure = (3.14)(8) + 8

Area of shaded figure = 25.12 + 8

Area of shaded figure = 33.12 unit²

5 0

2 years ago

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