Question

PLS ANSWER THESE QUESTIONS. I WILL GIVE 20 POINTS AD BRAINLIEST.

1. Write an expression to represent the sum of three consecutive even numbers. Let x equal the first number.

2. Find the circumference of a circle that has a diameter of 1 4/5 inches. Use 22/7 for pi.

3. Divide. Write the quotient in simplest form. 1/7 divided by -2/7 = ?

THANK YOU

Answer 1

Answer:

1. 3x + 6

2. $\frac{99}{14}$ or 7.071

3. $-\frac{1}{2}$

Step-by-step explanation:

1. 3 consecutive even integers

If the first is x, the 2nd is x+2, and the 3rd is x+4

x + (x+2) + (x+4)

= 3x + 6

2. The equation for circumference is

$C=2\pi r$

If the diameter is $1\frac{4}{5} = \frac{9}{5}$

The the radius is half of that.

So the circumference is

$\pi * \frac{9}{4} *\frac{1}{2} * 2\\= \pi * \frac{9}{4}\\=\frac{22}{7} * \frac{9}{4}\\= \frac{198}{28}\\ =\frac{99}{14} \\=7.071$

3. To divide we multiply by the reciprocal.  So flip the fraction that we are dividing by.

$\frac{1}{7} / -\frac{2}{7}\\ = \frac{1}{7} * -\frac{7}{2} \\= -\frac{1}{2}$