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MAXImum [283]
3 years ago
6

The product of 9 and a number is 12 less than three times that number. What is the number?

Mathematics
1 answer:
taurus [48]3 years ago
6 0
Product means multiplication
is means equal
less than means subtraction
times means multiplication

The product of 9 and a number is 12 less than three times that number.

Lets say this number is 'n'

then:

9n = 3n-12

Add 12 on both sides

9n + 12 = 3n

Subtract 9n on both sides

12 = -6n

Divide by -6 on both sides to isolate n

n= -2

Your final answer is 

\Huge{\boxed{\bf{n=-2}}}

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The extreme water slide forms a 20 angle with the tower it leans against 80 feet above the ground find the length of the slide x
GarryVolchara [31]

Answer:

85.1 ft

Step-by-step explanation:

The extreme water slide forms a 20 angle with the tower it leans against 80 feet above the ground find the length of the slide x

We solve using the Trigonometric function of Cosine

cos y = adjacent/hypotenuse

y = angle = 20°

Adjacent = 80 ft

Hypotenuse = ?

cos 20 = 80/Hypotenuse

Hypotenuse = 80/cos 20

x = 85.134221798 ft

Approximately = 85.1 ft

Length of the slide = 85.1 ft

3 0
3 years ago
the fastest elevators in the Burj Khalifa can travel 330 feet in just 10 seconds how far does the elevator travel in 11 seconds
iVinArrow [24]

Answer:

363 feet

Step-by-step explanation:

330 ft / 10 seconds = 33 ft per second

33 * 11 seconds = 363 feet

6 0
2 years ago
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Solve for x plz show all the work. x/3=6
saul85 [17]

Answer: x=18

Step-by-step explanation:

X/3=6

We want to get x alone so we multiply both sides by 3

X=18

4 0
3 years ago
At the beginning of an experiment, the number of bacteria in a colony was counted at time t=O. The number of bacteria in the col
yan [13]

Answer:

1092

Step-by-step explanation:

We have been given that the number of bacteria in the colony t minutes after the initial count modeled by the function B(t)=9(3)^t. We are asked to find the average rate of change in the number of bacteria over the first 6 minutes of the experiment.

We will use average rate of change formula to solve our given problem.

\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}

Upon substituting our given values, we will get:

\text{Average rate of change}=\frac{b(6)-b(0)}{6-0}

\text{Average rate of change}=\frac{9(3)^6-9(3)^0}{6}

\text{Average rate of change}=\frac{9(729)-9(1)}{6}

\text{Average rate of change}=\frac{6561-9}{6}

\text{Average rate of change}=\frac{6552}{6}

\text{Average rate of change}=1092

Therefore, the average rate of change in the number of bacteria is 1092 bacteria per minute.

8 0
3 years ago
Help! Best answer gets brainliest
julsineya [31]

Answer:

7.9

Step-by-step explanation:

the first thing to do is find the second projection.

16-7 = 9

than we can use a proportion to find BD

7 : BD = BD : 9

BD = √9 x 7 = √63 = 7.9

we have to use the square root because in the proportion BD Is repeated two times. If we don’t use it, we find BD^2

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3 years ago
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