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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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Katarina [22]
First and last ones
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3 years ago
1 Point
Anastasy [175]

Answer:

61%

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3 years ago
Find the slope between these two points: (3, -10) and (-2, -30). Show all of your work. what the answer
Harlamova29_29 [7]

\huge\text{$m=\boxed{4}$}

Hey there! Start with the slope formula, where (x_1,y_1) and (x_2,y_2) are the two known points.

\begin{aligned}m&=\dfrac{y_2-y_1}{x_2-x_1}\\&=\frac{-30-(-10)}{-2-3}\end{aligned}

Simplify.

\begin{array}{c|l}\textbf{Solving}&\textbf{Reason}\\\cline{1-2}\\m=\dfrac{-30+10}{-2-3}&x-(-y)=x+y\\\\m=\dfrac{-20}{-5}&\text{Addition and subtraction}\\\\m=\dfrac{20}{5}&\text{The negatives cancel out}\\\\m=\dfrac{4}{1}&\text{Divide the numerator and denominator by $5$}\\\\m=\boxed{4}&\dfrac{x}{1}=x\end{aligned}

3 0
3 years ago
Read 2 more answers
E
KonstantinChe [14]
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Tell me if this doesn’t make sense, it’s sort of hard to explain!

4 0
2 years ago
Louisa has $145 saved in her account. She makes $8 an hour at work. How many hours must she work to have at least $320?
musickatia [10]
<span>$145 saved in her account.
</span><span>$8 an hour at work.
</span><span>at least $320

320 - 145 = 175

175 </span>÷ 8 = 21.875

Louisa needs to work about 22 more hrs to have at least $320!
6 0
3 years ago
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