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3 years ago

(-0.75+6)-1(2.5x+-1.9

Mathematics

2 answers:

Mrac [35]3 years ago

7 0

Answer:

-2.5x + 7.15

Hope this helps Buddy!

Please mark brainliest

~Courtney

fenix001 [56]3 years ago

5 0

Simplifying

(0.75x + 6) + -1(2.5x + -1.9) = 0

Reorder the terms:

(6 + 0.75x) + -1(2.5x + -1.9) = 0

Remove parenthesis around (6 + 0.75x)

6 + 0.75x + -1(2.5x + -1.9) = 0

Reorder the terms:

6 + 0.75x + -1(-1.9 + 2.5x) = 0

6 + 0.75x + (-1.9 * -1 + 2.5x * -1) = 0

6 + 0.75x + (1.9 + -2.5x) = 0

Reorder the terms:

6 + 1.9 + 0.75x + -2.5x = 0

Combine like terms: 6 + 1.9 = 7.9

7.9 + 0.75x + -2.5x = 0

Combine like terms: 0.75x + -2.5x = -1.75x

7.9 + -1.75x = 0

Solving

7.9 + -1.75x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7.9' to each side of the equation.

7.9 + -7.9 + -1.75x = 0 + -7.9

Combine like terms: 7.9 + -7.9 = 0.0

0.0 + -1.75x = 0 + -7.9

-1.75x = 0 + -7.9

Combine like terms: 0 + -7.9 = -7.9

-1.75x = -7.9

Divide each side by '-1.75'.

x = 4.514285714

Simplifying

x = 4.514285714

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3 years ago

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Step-by-step explanation:

We are given that the minute hand of a clock is 8 inches long. And we have to find that how far does the tip of the minute hand travel as the time progresses from 12:00 to 12:25.

<u>So, firstly we will find the circumference of circle;</u>

Circumference of circle (C) = $2\pi r$ {where r is radius of circle}

= $2 \times \pi \times 8$ {given r = 8 inches long}

= $16 \pi$

Now, as we know that the minute hands completes the full circle in 60 minutes, therefore, the length of the arc between time 12:00 to 12:25 represents $\frac{25}{60}$ which is $\frac{5 }{12}$ of the circumference, that means;

The length of arc from time 12:00 to 12:25 = $\frac{5}{12}\times \text {Circumference of circle}$

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