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3 years ago

5(x - 4) = 12 as a mixed number

Mathematics

2 answers:

aleksley [76]3 years ago

6 0

5x - 20 = 12
5x = 32
x = 32/5
x = 6 2/5 or 6.4

schepotkina [342]3 years ago

5 0

5 (x-4)= 12
Distribute into parentheses
5x-20= 12
Add 20 on both sides
5x= 32
Divide each side by 5
X= 32/5
Now 5 goes into 32, 6 times with a remainder of 2
Answer is 6 2/5

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lara [203]

Answer: B(t) = (0.03*Cos( pi*t/5) + 3.6) magnitudes.

Step-by-step explanation:

The question is not complete, but I will suppose that when t = 0, the brightness of the star is at the mean of 3.6 magnitudes.

Now, we know that the brightness oscillates with a period of 10 days and that the variation is equal to 0.3 magnitudes.

We know that the behavior is simple harmonic, so we can write this as:

B(t) = A*Cos(c*t) + K

Where A, c, and K are constants.

A defines the extreme values of the oscillation, so here we will have that A = 0.3 magnitudes.

K is the point around we have the oscillation, K is the average brightness of the star; K = 3.6 magnitudes.

c is a constant such the period is equal to 10 days.

We know that the period of the cosine function is equal to 2*pi

then we have: c*10 = 2pi

c = 2*pi/10 = pi/5

Then our equation is:

B(t) = (0.03*Cos( pi*t/5) + 3.6) magnitudes.

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3 years ago

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german

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4 years ago

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xxMikexx [17]

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Step-by-step explanation:

1. Remove parentheses

6y−6−4y=26

2. Simplify

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6. Simplify

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