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UNO [17]
3 years ago
9

Solve for x in the equation C = 8.5x + 6y. Show all work.

Mathematics
2 answers:
posledela3 years ago
6 0
C = 8.5x + 6y

8.5x + 6y = C

8.5x = C - 6y

x = (C - 6y)/8.5
8_murik_8 [283]3 years ago
3 0
First we move 6y to the other side. To do this, you subtract 6y on both sides

C - 6y = 8.5x + 6y - 6y

C - 6y = 8.5x

No divide both sides by 8.5 to isolate x

\frac{C-6y}{8.5} =  \frac{8.5}{8.5} x =\frac{C-6y}{8.5} =x
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At 1:30 p.m., Tom leaves in his boat from a dock and heads south. He travels at a rate of 25 miles per hour. Ten minutes later,
Nadya [2.5K]

Answer: she would catch up with Tom in 1 hour.

Step-by-step explanation:

Let t represent the time it will take for Mary to catch up with Tom.

Tom leaves his boat from a dock and travels at a rate of 25 miles per hour.

Distance = speed × time

Distance travelled by Tom in t hours is

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Ten minutes later, Mary leaves the same dock in her speedboat and heads after Tom. Converting 10 minutes to hours, it becomes 10/60 hour

Time spent by Mary is (t - 10/60) hours. If she travels at a rate of 30 miles per hour, it means that the distance that she would travel in

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7 0
3 years ago
If f(x)=4x^2+1 and g(x)=x^2-5 find(f+g)(x)
Zepler [3.9K]

Answer:

\large\boxed{(f+g)(x)=5x^2+6}

Step-by-step explanation:

(f+g)(x)=f(x)+g(x)\\\\f(x)=4x^2+1,\ g(x)=x^2-5\\\\\text{Substitute:}\\\\(f+g)(x)=(4x^2+1)+(x^2-5)\\\\=4x^2+1+x^2-5\qquad\text{combine like terms}\\\\=(4x^2+x^2)+(1+5)\\\\=5x^2+6

6 0
3 years ago
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Furkat [3]

Answer:

Option D is correct.

D- A number that cannot be expressed as a fraction, , where p and q are integers

Step-by-step explanation:

Irrational number:

An irrational number can not be expressed as a fraction or ratio of  integers, like \frac{p}{q} where p and q are integers

And also it can not be expressed as terminating decimal or repeating decimal

Example of the irrational number is given below.

\sqrt{8}= 2.82842

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\sqrt{3}= 2.82842

Therefore option D (A number that cannot be expressed as a fraction, , where p and q are integers) is correct .  

8 0
3 years ago
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