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Soloha48 [4]
3 years ago
12

A professor must randomly select 4 students to participate in a mock debate. There are 15 students in his class. In how many dif

ferent ways can these students be selected, if the order of selection does not matter? A. 445 B. 989 C. 32,760 D. 1,365
Mathematics
1 answer:
Vikki [24]3 years ago
7 0

For apex users, the answer is 1,365


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Solve using substitution. <br> 7x-4y=-12<br> 9x-4y=-20
MrRissso [65]

Answer:y= -4

Step-by-step explanation:

1 Solve for xx in 7x-4y=-127x−4y=−12.

x=\frac{4(y-3)}{7}

x=

7

4(y−3)

​

2 Substitute x=\frac{4(y-3)}{7}x=

7

4(y−3)

​

 into 9x-4y=-209x−4y=−20.

\frac{36(y-3)}{7}-4y=-20

7

36(y−3)

​

−4y=−20

3 Solve for yy in \frac{36(y-3)}{7}-4y=-20

7

36(y−3)

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−4y=−20.

y=-4

y=−4

4 Substitute y=-4y=−4 into x=\frac{4(y-3)}{7}x=

7

4(y−3)

​

.

x=-4

x=−4

5 Therefore,

\begin{aligned}&x=-4\\&y=-4\end{aligned}

​

 

x=−4

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3 0
3 years ago
If the areas of the given pairs of shapes are equal, find the value of x.​
den301095 [7]

Answer:

x = 8cm

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we are given a square and rectangle.we want to figure out x which is the width of the rectangle. we are also given a condition i.e

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therefore,

\displaystyle \rm A _{square } = A _{rect}

recall the formula of the area of square and rectangle so,

\displaystyle  {s}^{2} = lw

now assign variables

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thus substitute:

\displaystyle 32cmx =  {16cm}^{2}

simplify square:

\displaystyle 32cmx = 256cm^2

divide both sides by 32:

\displaystyle  \boxed{x = 8cm}

and we're done!

3 0
2 years ago
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