MATHEMATICS MIDDLE SCHOOL

Square root of 96 factor tree

Answers

Answer 1
Answer: 15/19 or 9.789. Is the answer
Answer 2
Answer:

Answer:

 √ 96

     /\

 6     16

 /\       /\

3  2    4   4

Final answer: 4√ 6

Step-by-step explanation:

follow steps above

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Find the roots of the quadratic equation x^2-8x=9 by completing the square. Show your work.

Answers

x^(2) -8x=9 \n x^(2) -8x+(-4)^(2) = 9 + (-4)^(2) \n x^(2) -8x+16 = 9 + 16 \n (x-4)^(2) =25 \n x-4= √(25) \n x-4= \pm 5 \n x= \pm 5+4
x = 5 + 4 or -5 + 4
x = 9 or -1
 

A cone has a diameter of 8 in and a height of 8 in. what is the volume when using 3.14 as \pi

Answers

Volume of a cone=(1/3)πr²h

Data:
π=3.14
radius=diameter / 2=8 in /2=4 in
heitht=8 in.

Volume of this cone=(1/3) *3.14 * (4 in)² * 8 in=133.97 in³,

answer: 133.97 in³

Consider the decimal 0.101001000100001000001 do you think this decimal represents a rational number? Why or why not.

Answers

this decimal does not represent a rational number because rational numbers are whole numbers, numbers that can be written as a fraction

-4x+-6y=24 how do you solve?

Answers

So,

Let's manipulate this into the y=mx + b form.

Add 4x to both sides
-6y = 4x + 24

Divide both sides by -6
y = (4)/(-6) x - 4

Just use the slope to find the points you need.

The y-intercept is (0,-4).

The slope is (4)/(-6).  Finding the next point:
(-6,0)

You could have also used the slope intercept method.

-4(0) - 6y = 24
-6y = 24

Divide both sides by -6
y = -4
(0,-4)


-4x - 6(0) = 24
-4x = 24

Divide both sides by -4
x = -6
(-6,0)
Solving for x

Since 6y does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 6y from both sides.
−4x=−6y+24

Divide each term in the equation by −4.
−4x/−4=−6y/−4+24/−4 

Simplify
x=3y/2+24/−4

 Divide 24 by −4 to get −6. 

x=3y/2−6 

x is equal to 3y/2−6  


You solve y the same way you solve x:

Because −4x does not contain the variable to solve for, move it to the right-hand side of the equation by adding 4x to both sides.
6y=4x+24

Divide each term in the equation by 6.
6y/6=4x/6+24/6 

Simplify
y=2x/3+24/6

Divide 24 by 6 to get 4. 
y=2x/3+4 

y is equal to 2x/3+4 

Darcy wants to buy a new skirt. The price of the skirt is $35.00 and 7% sales tax will be added to the price. Darcy has $40.00 to spend. How much money will Darcy have left after paying for the skirt and the sales tax?

Answers

The value of the skirt with a tax is
$35.00 + ($35.00 x 0.07) = $37.45
He has $40.00 and his change will be
$40.00 - $37.45 = $2.55

There are 8 teachers going to the science museum.If each teacher pays $15 to get inside how much did the teachers pay? $________________?

Answers

if there are 8 teachers going to a science museum and each teacher pays 15 you just take 15 multiplied by 8  and you get 120
the teachers paid $120
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