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3 years ago

Solve for n. n + 1 = 4(n - 8) n = 1 T n = 8 n = 11 n = 16

2 answers:

7 0

N= 11

question:
n+1= 4(n-8)

first step: distribute 4 through the parenthesis:
n+1= 4n-32

next step: move the variable to the left hand side and change the sign:
n-4n+1= -32

next step: collect the like terms:
-3n= -32-1

last step: divide both sides by -3:
-3n= -33

solution: n= 11

Komok [63]3 years ago

3 0

Answer:

n=11

Step-by-step explanation:

n+1=4(n-8)

11+1=4(11-8)

12=4(3)

12=12

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Courtney walked from her house to the beach at a constant speed of 4 kilometers per hour, and then walked

RUDIKE [14]

The system of equations that represents this situation are:

q + p = 2

4q + 5p = 8

Solution:

Let q be the number of hours it took Courtney to walk from her house to the beach

Let p be the number of hours it took her to walk from the beach to the park

The entire walk took 2 hours

Therefore,

q + p = 2 ------- eqn 1

The total distance Courtney walked was 8 kilometers

Total distance = 8 km

Courtney walked from her house to the beach at a constant speed of 4 kilometers per hour

Then walked from the beach to the park at a constant speed of 5 kilometers per hour

Distance is given as:

$distance = speed \times time$

From her house to the beach:

$distance = 4 \times q = 4q$

From the beach to the park:

$distance = 5 \times p = 5p$

We know that,

Total distance = 8 km

Therefore,

4q + 5p = 8 ------ eqn 2

Thus the system of equations that represents this situation are:

q + p = 2

4q + 5p = 8

8 0

4 years ago

A burst of electromagnetic radiation has a frequency of 1 exahertz. One exahertz equals 10^12 megahertz. Each megahertz is equal

den301095 [7]

Answer:

The frequency of the burst of electromagnetic radiation which equals 1 exahertz = 10¹⁸ hertz.

Step-by-step explanation:

Since the frequency of the burst of electromagnetic radiation is 1 exahertz, and 1 exahertz = 10¹² megahertz. So, the frequency of radiation is 10¹² megahertz. Also 1 megahertz = 10⁶ hertz. So, 10¹² megahertz = 10¹² × 1 megahertz = 10¹² × 10⁶ hertz = 10¹² ⁺ ⁶ hertz = 10¹⁸ hertz.

So the frequency of the burst of electromagnetic radiation which equals 1 exahertz = 10¹⁸ hertz.

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andreyandreev [35.5K]

The answer i got was
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