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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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Tevon,leah,and beth are playing a computer game. Trevon scored -8. Beth's score was 3/4 of trever's score, and leah's score was
faust18 [17]

Answer:

Trevon scored -8.

Beth's score was 3/4 of trever's score = -8 *3/4 = -6

leah's score was 1/4 of beth's score. = -6 *1/4 = -1.5

Leah's score was -1.5


8 0
3 years ago
use the distributive property to remove parentheses. Simplify your answer as much as possible. 1/2(4y+7)
Anna007 [38]
1/2(4y+7)

Use the distributive property. a(b+c)= ab+ac 

1/2*4y= 2y

1/2*7= 3.5

2y+3.5 <---- simplified expression

I hope this helps!
~kaikers


7 0
3 years ago
Read 2 more answers
What is the solution of the system?
Kryger [21]
Greetings!

Solve the System, using Elimination:
\left \{ {{4x+2y=18} \atop {2x+3y=15}} \right.

Multiply Equation #2 by 2:
\left \{ {{4x+2y=18} \atop {2(2x+3y)=2(15)}} \right.

\left \{ {{4x+2y=18} \atop {4x+6y=30}} \right.

Eliminate variable x:
-\frac{ \left \{ {{4x+2y=18} \atop {4x+6y=30}} \right.}{0x-4y=-12}

4y=-12

Divide both sides by 4:
\frac{4y}{4}= \frac{12}{4}

y=3

Input this value into one of the Equations: 
4x+2y=18

4x+2(3)=18

Simplify:
4x+6=18

(4x+6)+(-6)=(18)+(-6)

4x=12

Divide both sides by 4.
\frac{4x}{4}= \frac{12}{4}

x=3

The Solution to this System (The Point of Intersection):
\boxed{(3,3)}

I hope this helped!
-Benjamin
7 0
3 years ago
The graph represents the piecewise function:
svetoff [14.1K]

Answer:

x if -3is less than x is less than -1

5 is -1 is less than x is less than 1

Step-by-step explanation:

You find the slope of the line for the first piece when the x-values range from -3 to -1.

For the second piece, the line is y=5 because the line is horizontal.

5 0
3 years ago
Read 2 more answers
The sum of two numbers is 31. The product of the two numbers is 150. What are the numbers?
mestny [16]
One way is to factor 150 and add the factors
150+1=151, nope
2+75=77, nope
3+50=53, nope
5+30=35, nope
6+25=31, yep

the numbers are 6 and 25
7 0
3 years ago
Read 2 more answers
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