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san4es73 [151]
3 years ago
11

A​ golf-course architect has six linden​ trees, four white birch​ trees, and three bald cypress trees to plant in a row along a

fairway. in how many ways can the landscaper plant the trees in a​ row, assuming that the trees are evenly​ spaced? the trees can be planted in nothing different ways.
Mathematics
1 answer:
JulijaS [17]3 years ago
6 0

Total number of trees n = 4 + 3 + 3 = 10. Count the number of each different trees. n1=4, n2=3, n3=3. Number of ways the landscaper plant the trees in a row is = 10 ! / ( 4! * 3! * 3! ) = 3628800 / ( 24 * 6 * 6 ) = 3628800 / 864 = 4200 ways.

Therefore, the trees can be planted 4200 ways

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Bill hiked 4 miles than 3 times the amount hit friend hiked. Write an expression that represents the amount of miles bill has hi
Yuki888 [10]

Answer:

x3 + 4

Step-by-step explanation:

Scince Bill's friends amount of miles is unkown its x, and times it by three since it says times, and then add 4 since it says more than! Hope this helps! There is a really good website called Khan Academy and it explains everything! Just search in google your topic and say khan academy at the end and you will get practices and videos! Good luck!

5 0
3 years ago
Solve 5x^2-2=-12 by taking the square root
k0ka [10]

Answer:

x = ±i√2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

Multiplication Property of Equality

Division Property of Equality

Addition Property of Equality

Subtraction Property of Equality<u> </u>

<u>Algebra II</u>

Imaginary root <em>i</em>

  • <em>i</em> = √-1

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

5x² - 2 = -12

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. [Addition Property of Equality] Add 2 on both sides:                                    5x² = -10
  2. [Division Property of Equality] Divide 5 on both sides:                                 x² = -2
  3. [Equality Property] Square root both sides:                                                    x = ±√-2
  4. Rewrite:                                                                                                             x = ±√-1 · √2
  5. Simplify:                                                                                                             x = ±i√2
7 0
3 years ago
A 5-ounce can of tuna costs $0.90. A 12-ounce can of tuna costs $2.40. Which is the better buy?
tia_tia [17]

Hello there!

To find which tuna is a better deal, divide the cost by the number of ounces of tuna you are getting to get the cost per ounce.

$0.90/5  = $0.18 per ounce

$2.40/12 = $0.20 per ounce

Since the 5-ounce can of tuna has a cheaper unit rate price, meaning you are getting a better value, makes this the best option. I hope this was helpful and have a great day! :)

8 0
3 years ago
Read 2 more answers
What is the set of all solutions to the equation \sqrt{x + 2}= {-x} x+2 ​ =−xsquare root of, x, plus, 2, end square root, equals
NARA [144]

Answer:

x = 2 or x = -1

Step-by-step explanation:

Given

\sqrt{x + 2}= {-x}

Required

Find the possible values fo x

\sqrt{x + 2}= {-x}

Square both sides

( \sqrt{x + 2})^2= ({-x})^2

x + 2 = x^2

Equate to 0

x^2 - x - 2 = 0

Expand

x^2 + x -2x - 2 = 0

Factorize:

x(x + 1) - 2(x + 1) = 0

(x -2)(x +1) = 0

Split:

x - 2 = 0 or x + 1 = 0

x = 2 + 0 or x = 0-1

x = 2 or x = -1

3 0
3 years ago
Explain how you would use integer tiles to find the quotient of -15 and 3
dsp73
-5 is the answer I believe
6 0
3 years ago
Read 2 more answers
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