MATHEMATICS HIGH SCHOOL

You own 6 hats and are taking 4 on vacation. In how many ways can you choose 4 hats from the 6?A. 15

B. 360

C. 1

D. 720

Answers

Answer 1
Answer:

Answer:

Option B is the answer.

Step-by-step explanation:

I own 6 hats and i am taking 4 hats on vacations.

I have to find the number of ways that I can choose 4 hats out of 6.

In this question we will apply the combination rule.

So by combination rule number of ways to choose hats will be ^(6)C_(4)

^(6)C_(4)=(6!)/((6-4)!(4)!)

=(6* 5* 4!)/(2!* 4!)

=(30)/(2)

=15

Therefore, option A. 15 will be the answer.
Answer 2
Answer: your answer is A. 15 

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How do you solve -8+3x <-17x+17 for graphing?

Answers

-8+3x < -17x+17
     -17x 
___________
     -8+(-14x) < 17
                        -8
________________
                        -14x <  9
    -8 + 3x < -17x + 17
        + 17x + 17x       
  -8 + 20x < 17
+ 8             + 8
          20x < 25
           20     20
              x < 1.25
              x > 1.25

Show work
solve x^2-6x= -25

Answers

Answer: x = 3 ± 4i

Step-by-step explanation:

 x² - 6x + 25 = 0

a=1  b= -6  c=25

Use Quadratic Formula:

x = \frac{-b +/- \sqrt{b^(2)-4ac}}{2a}

= \frac{-(-6) +/- \sqrt{(-6)^(2)-4(1)(25)}}{2(1)}

= (6 +/- √(36-100))/(2)

= (6 +/- √(-64))/(2)

= (6 +/- 8i)/(2)

= (2(3 +/- 4i))/(2)

  = 3 ± 4i

Answer:

x= 3+4i , x= 3-4i

Step-by-step explanation:

x^2-6x= -25

To solve for x  we need to make right hand side

So add 25 on both sides

x^2-6x+25=0

Now apply quadratic formula

x=(-b+-√(b^2-4ac))/(2a)

From the given equation a=1, b=-6  and c=25

Plug in all the values in the formula

x=(-(-6)+-√((-6)^2-4(1)(25)))/(2(1))

x=(6+-√(-64))/(2)

We know  √(-1) =i

So equation becomes

x=(6+8i)/(2)

Divide by 2

x= 3+-4i

So x= 3+4i , x= 3-4i

A The number of tropical fish that an aquarium can hold depends on the volume of the fish tank. The interior dimensions of a fish tank are 30 cm, 90 cm, and 70 cm. Each fish requires 27000 cubic centimeters of water. How many tropical fish will this fish tank hold?a. 8
b. 6
c. 9
d. 7

Answers

Answer:

7

Step-by-step explanation:

We need to first of all find the volume of the fish tank. The most probable shape the ship tank can have is that of a cuboid.

The volume of a cuboid is l * b * h

And this is equals 30cm * 70cm * 90cm = 189,000 cubic centimeters

The number of fish the tank can contain can be obtained by dividing the volume by the volume occupied by a single fish.

This is 189,000/27000 = 7

6TH GRADE MATH. PLEASE HELP! 25 POINTS!

Answers

Answer:

Express as exponents) 1) 81 / 2) 4/9 3) -64

Challange: Use parenthesis) 1) 3b 2) 8x^3y^3 3)15x^2y^2

Evaluate) 1) 125 2) 81/256

Challenge) 9a^2b^2

True or flase) 1) flase 2)  false 3) true 4) false

Step-by-step explanation:

Express as a trinomial.



(x−5)(x−2)

Answers

Answer:

x^2 - 7 x + 10

Step-by-step explanation:

use the foil method to multiply the terms.

Also - you can just plug these types of equations into WolframAlpha...

in this case you are looking for "expanded form"

a cross-section is taken parallel to the bases of a general cylinder and has an area of 18. If the height of the cylinder is H, what is the volume of the cylinder? Explain your reasoning.

Answers

∵ the cross-section is parallel to the bases of the cylinder, then it is congruent to the bases thus, the area of the base of the cylinder is 18.
The volume of a general cylinder is the product of the area of the cylinder’s base times the height of the cylinder,
So the volume of the general cylinder is = 18 H
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