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3 years ago

Translate the following question into an equation. What number is 99% of 33?

Mathematics

2 answers:

omeli [17]3 years ago

4 0

Answer:

32 is 99% of 33 cause 33 is 100% of 33

Step-by-step explanation:

Oksanka [162]3 years ago

3 0

Step-by-step explanation: First we have "what number" which we can represent by the variable x. Next we have is which means "is equal to" so we write an equals sign, then we have 99% which we need to write as a decimal so we move the decimal point 2 places to the left to get 0.99 and "of 33" means times 33.

Now we have the following equation.

X = (.99)(33)

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The fish population of a lake is decreasing each year. A study is conducted. But, unfortunately some data was lost. The research

Solnce55 [7]

Answer:

$F(t) = 18000(0.6666)^{t}$

Step-by-step explanation:

The fish population after t years can be modeled by the following equation:

$F(t) = F(0)(1-r)^{t}$

In which F(0) is the initial population and r is the constant rate of decay.

Year one the fish population was 18000

This means that $F(0) = 18000$

In year three the fish population was 8000 fish.

Two years later, so $F(2) = 8000$

$F(t) = F(0)(1-r)^{t}$

$8000 = 18000(1-r)^{2}$

$(1-r)^{2} = 0.4444$

$\sqrt{(1-r)^{2}} = \sqrt{0.4444}$

$1 - r = 0.6666$

$r = 0.3334$

$F(t) = 18000(0.6666)^{t}$

4 0

3 years ago

Write an inequality involving the variable x that describes the set of numbers graphed.

Anna [14]

Since it does not include 0 in the inequality, nor does it include any numbers below 0, it must be $\boxed{x\ \textgreater \ 0}$ .

3 0

3 years ago

there are 800 seats in the varsity theater. during regular preformances, all seats cost $12 each. It costs the owner $275 to pay

r-ruslan [8.4K]

Answer:

The correct answers are the following:

A) P=12n-275

B) 124

C) Decrease by $100

Step-by-step explanation:

A) P=12n-275  - Each person (n) pays $12, then the cost/expense ($275) is subtracted from the income to get the profit.

B) 1,213=12n-275 - Plug in the value for P ($1,213).

1,488=12n - Add $275 to both sides.

124=n - Divide both sides by $12.

n=124  - This the number (n) of people that attended.

C) P=12n-375 - Change the value for expense to $375.

P=12(124)-375 - Plug in the value for n (124).

P=1488-375 - Simplify and find the difference.

P=1,113 - This is your profit.

1,113-1,213=-100  - $100 reduction/decrease of profit (or -$100 to profit)

Hope this helps!

6 0

2 years ago

F(x)= 20 + 12(x - 2)

Vinvika [58]

Answer:

f(x) = 12x - 4

Step-by-step explanation:

f(x)= 20 + 12(x - 2)

Distribute

f(x) =20 +12x - 24

Combine like terms

f(x) = 12x+20-24

f(x) = 12x - 4

4 0

3 years ago

Read 2 more answers

Q2) The following travel times were measured for vehicles traversing a 2,000 ft. segment of an arterial: Vehicle Travel Time (s)

adelina 88 [10]

Answer:

TMS = 45.78 m/s

SMS = 45.66 m/s

Step-by-step explanation:

Vehicle Travel Time (s)

1 40.5

2 44.2

3 41.7

4 47.3

5 46.5

6 41.9

7 43.0

8 47.0

9 42.6

10 43.3

Time mean speed and space mean speed are parameters used to express the speed of a group of vehicles in traffic flow.

Time mean speed is given as the average speed of all the cars

The speed for each vehicle is calculated by dividing the (2000 ft) distance by the time taken by each vehicle to complete that segment of the journey.

Let vehicle = V

Travel time = time

Speed = s

V | Time | speed (ft/s)

1 | 40.5 | 49.383

2 | 44.2 | 45.249

3 | 41.7 | 47.962

4 | 47.3 | 42.283

5 | 46.5 | 43.011

6 | 41.9 | 47.733

7 | 43.0 | 46.512

8 | 47.0 | 42.553

9 | 42.6 | 46.948

10| 43.3 | 46.189

TMS = (Σsᵢ)/N

Σsᵢ = (49.383+45.249+47.962+42.283+43.011+47.733+46.512+42.553+46.948+46.189)

Σsᵢ = 457.823

N = number of vehicles = 10

TMS = 457.823 ÷ 10 = 45.7823 = 45.782 m/s

b) Space mean speed is given as

SMS = N ÷ [Σ (1/sᵢ)]

V | Time | speed | (1/sᵢ)

1 | 40.5 | 49.383 | 0.02025

2 | 44.2 | 45.249 | 0.02210

3 | 41.7 | 47.962 | 0.02085

4 | 47.3 | 42.283 | 0.02365

5 | 46.5 | 43.011 | 0.02325

6 | 41.9 | 47.733 | 0.02095

7 | 43.0 | 46.512 | 0.02150

8 | 47.0 | 42.553 | 0.02350

9 | 42.6 | 46.948 | 0.02130

10| 43.3 | 46.189 | 0.02165

Σ (1/sᵢ) = (0.02025+0.02210+0.02085+0.02365+0.02325+0.02095+0.02150+0.02350+0.02130+0.02165)

Σ (1/sᵢ) = 0.219

SMS = 10 ÷ [Σ (1/sᵢ)] = 10 ÷ 0.219

SMS = 45.662 m/s

Hope this Helps!!!

4 0

3 years ago