Simplify y -2/ 3y4 help me please!

Solve the equation: 3 - 2/9b = 1/3b - 7

aleksandrvk [35]

3 - $\frac{3}{9} b$ = $\frac{1}{3} b$ - 7

First, simplify $\frac{2}{9} b$ to $\frac{2b}{9}$ / Your problem should look like: 3 - $\frac{2b}{9}$ = $\frac{1}{3} b$ - 7
Second, simplify $\frac{1}{3} b$ to $\frac{b}{3}$ / Your problem should look like: 3 - $\frac{2b}{9}$ = $\frac{b}{3}$ - 7
Third, multiply both sides by 9 (the LCD of 9,3). / Your problem should look like: 27 - 2b = 3b - 63
Fourth, add 2b to both sides. / Your problem should look like: 27 = 3b - 63 + 2b
Fifth, simplify 3b - 63 + 2b to 5b - 63. / Your problem should look like: 27 = 5b - 63
Sixth, add 63 to both sides. / Your problem should look like: 27 + 63 = 5b
Seventh, simplify 27 + 63 to 90. / Your problem should look like: 90 = 5b
Eighth, divide both sides by 5. / Your problem should look like: $\frac{90}{5}$ = b
Ninth, simplify $\frac{90}{5}$ to 18. / Your problem should look like: 18 = b
Tenth, switch sides. Your problem should look like: b = 18

Answer: b = 18

3 0

3 years ago

The box plot shows the highest jump for each competitor in the Women's High Jump Final at the 2008 Olympics in Beijing, China. F

Stolb23 [73]

Answer:

0.07

Step-by-step explanation:

to find the IQR you do Q3-Q1

2.00-1.93

3 0

3 years ago

Read 2 more answers

Could somebody help me with Geometry? THANKS!!!!!!!!!!!!!!!!!!!!!

Vedmedyk [2.9K]

I'll do problem 1 to get you started.

The answer to problem 1 is 3400 miles

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Explanation for problem 1:

We're asked to find the perimeter, which is the total distance around the exterior or outside. In other words, we need to add up the four side lengths of this quadrilateral.

We'll need the distance formula to find the lengths of the slanted sides AB and BC

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Let's first find the length of segment AB

A = (x1,y1) = (0,0)

B = (x2,y2) = (400,300)

d = Length of AB

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(0-400)^2 + (0-300)^2}\\\\d = \sqrt{(-400)^2 + (-300)^2}\\\\d = \sqrt{160000 + 90000}\\\\d = \sqrt{250000}\\\\d = 500\\\\$

The distance from A to B is 500 miles. This is the same as saying segment AB is 500 miles long.

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Now find the length of segment BC

B = (x1,y1) = (400,300)

C = (x2,y2) = (-800,800)

d = length of BC

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(400-(-800))^2 + (300-800)^2}\\\\d = \sqrt{(400+800)^2 + (300-800)^2}\\\\d = \sqrt{(1200)^2 + (-500)^2}\\\\d = \sqrt{1440000 + 250000}\\\\d = \sqrt{1690000}\\\\d = 1300\\\\$

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The length of CD is fairly easy to find without needing the distance formula. This is because it is a vertical line. We subtract the y coordinates of C and D to get 800-0 = 800. So CD is 800 miles long.

Segment DA is a similar story. But we subtract the x coordinates. This only works for horizontal lines. DA is 800 miles long because |-800-0| = 800. Absolute value is used to make sure the distance is never negative.

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To summarize everything so far, we found these four side lengths

AB = 500
BC = 1300
CD = 800
DA = 800

The perimeter is going to be the sum of those four sides, leading to...

perimeter = sum of sides

perimeter = AB+BC+CD+DA

perimeter = 500+1300+800+800

perimeter = 3400 miles

This is the total distance traveled if you started at city A, went to B, then to C, then to D, and then finally went back to A.

5 0

3 years ago

Read 2 more answers

Factor the polynomial -x3-4x2-5x

viktelen [127]

Factor out common factors.

-x³-4x²-5x = -x(x² + 4x + 5)

-x(x² + 4x + 5) is your answer

hope this helps

3 0

3 years ago

Any one smart and can help me catch up? ill give many points

Sergio [31]

Answer:

4/15

Step-by-step explanation:

1) find common denominator, 15 in this problem

$\frac{4}{5}= \frac{12}{15}$

2) solve

$\frac{12}{15}- \frac{8}{15} = \frac{4}{15}$

7 0

3 years ago