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icang [17]
3 years ago
9

Help on 36 and 39 have to factor each expression

Mathematics
1 answer:
aleksklad [387]3 years ago
4 0
36)      <span>5(2 + 7k)(-2 + 7k)

39)      </span><span>8(5 + b)(5 + b)</span>
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Convert to a mixed number in simplest form 51/13​
Nata [24]

Answer:

3\frac{12}{13}

Step-by-step explanation:

51 / 13 = 3.9231 = 3

51 - (13 x 3) = 12

3\frac{12}{13}

5 0
3 years ago
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What is 48 x 3/8 is equal to
Valentin [98]

Answer:

18

Step-by-step explanation:

4 0
2 years ago
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A car's wheels spins at 1000 revolutions per minute. The diameter of the wheels is 23 inches. You want to know how fast the car
ch4aika [34]

Answer:

72,220 inches per  minute

Step-by-step explanation:

A car's wheels spins at 1000 revolutions per minute. The diameter of the wheels is 23 inches.

1 revolution = 2\pi radians

\frac{theta}{tome}=\frac{1000 \ revolution}{1 \ minuite} = \frac{1000* 2\pi }{1} =\frac{2000\pi}{1 \ minute}

Speed V= \frac{r*theta}{t}

r is the radius , theta is the angle and t is the time

We know diameter = 23  , then radius = 23/2

Speed V= \frac{23}{2}*\frac{2000\pi}{1}

Value of pi = 3.14

speed = 23000* 3.14= 72220 inches/ minute


3 0
3 years ago
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The total price of 5 pounds of bananas was $1.95. What was the price per pound?
Ira Lisetskai [31]

Answer:

Well you divide the total of 1.95/5

.39 cent

8 0
2 years ago
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X/2 = Y/3 = Z/4. prove that :2X-Y+5Z / 3Y-X =3. note :: (/) is for a fraction aka divide. help pls I've been stuck on it for a f
sweet-ann [11.9K]

The given equation

x/2 = y/3 = z/4

can be broken into three separate equations which I'll call equations (A), (B) and (C)

  • x/2 = y/3 ..... equation (A)
  • y/3 = z/4 .... equation (B)
  • x/2 = z/4 .... equation (C)

We'll start off solving for z in equation (C)

x/2 = z/4

4x = 2z ... cross multiply

2z = 4x

z = 4x/2 ... divide both sides by 2

z = 2x

Now let's solve for y in equation (A)

x/2 = y/3

3x = 2y

2y = 3x

y = 3x/2

y = (3/2)x

y = 1.5x

The results of z = 2x and y = 1.5x both have the right hand sides in terms of x. This will allow us to replace the variables y and z with something in terms of x, which means we'll have some overall expression with x only. The idea is that expression should simplify to 3 if we played our cards right.

We won't be using equation (B) at all.

---------------------

The key takeaway from the last section is that

  • z = 2x
  • y = 1.5x

Let's plug those items into the expression (2x-y+5z)/(3y-x) to get the following:

(2x-y+5z)/(3y-x)

(2x-y+5(2x))/(3y-x) ..... plug in z = 2x

(2x-y+10x)/(3y-x)

(12x-y)/(3y-x)

(12x-1.5x)/(3(1.5x)-x) .... plug in y = 1.5x

(12x-1.5x)/(4.5x-x)

(10.5x)/(3.5x)

(10.5)/(3.5)

3

We've shown that plugging z = 2x and y = 1.5x into the expression above simplifies to 3. Therefore, the equation (2x-y+5z)/(3y-x) = 3 is true when x/2 = y/3 = z/4. This concludes the proof.

5 0
2 years ago
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