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Firdavs [7]
4 years ago
14

7(n – 1) = -2(3 + n) solve for n

Mathematics
2 answers:
weqwewe [10]4 years ago
8 0
N=1/9 hope this helps
KengaRu [80]4 years ago
8 0
PEMDAS: Parentheses, Exponents, Multiply, Divide, Add, Subtract.
By using PEMDAS, we can already make the equation easier by Multiplying the variables INSIDE the parentheses by whats OUTSIDE of them.
7n-7=-6-2n
Now we combine like terms.
-2n+2n=0 and 7n+2n=9n; 9n-7=-6
-7+7=0 and -6+7=-1; 9n=-1
Now we divide both sides by the coefficient, which is the number in front of the variable.
9n/9=n and -1/9=-0.1111111 repeating.
And now you know the value of n: n=0.1111 repeating (TIP: draw a line OVER the number behind the decimal thats repeating)
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If caffeine reduces by about 10% per hour, how many hours h does it take for the amount of caffeine in a body to
Mila [183]

Answer:

7 hours

Step-by-step explanation:

Since, the final amount of caffeine formula would be,

A=P(1-r)^t

Where,

P = Initial value,

r = rate per period,

t = number of periods,

Here, r = 10% = 0.10, t = h, A = \frac{P}{2}

\frac{P}{2}=P(1-0.10)^h

\frac{1}{2}=(0.90)^h

Taking log both sides,

log 0.5 = log 0.90^h

log 0.5 = h log 0.90

\implies h = \frac{log 0.5}{log 0.9}=6.57881347896\approx 7

Hence, after 7 hours the amount of caffeine in a body to  reduce by half.

3 0
3 years ago
Find the length of x round your answer to the nearest hundredth
allsm [11]

Answer:

x = 7.55

Step-by-step explanation:

We can use the Pythagorean theorem to solve

a^2 +b^2 = c^2

where a and b are the legs and c is the hypotenuse

a^2 +8^2 = 11^2

x^2 +64 = 121

Subtract 64 from each side

x^2 +64-64 = 121-64

x^2 =57

Take the square root of each side

sqrt(x^2) = sqrt(57)

x = 7.549834435

To the nearest hundredth

x = 7.55

6 0
4 years ago
20 people reported enjoying dancing and 11 of them were under 40. What percentage of people who enjoy dancing are under 40 years
Nikolay [14]

Step-by-step explanation:

11 ÷ 20 = 0.55

0.55 × 100 = 55

so 55%

8 0
3 years ago
Read 2 more answers
What is the definition of mathematics?
Andrew [12]
<span>the abstract science of number, quantity, and space.

</span>
4 0
3 years ago
Read 2 more answers
Shelley drove from New Haven, Connecticut, to New York City in 90 minutes. Which equation relates the distance she traveled to h
Elenna [48]

Answer:

B.distance = speed × 90

Step-by-step explanation:

We know that distance = rate * time

We know the time is 90 minutes

distance = speed * 90

3 0
3 years ago
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