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aniked [119]
2 years ago
14

What is the answer to 8- 1/3x=16

Mathematics
2 answers:
AysviL [449]2 years ago
8 0
X= -40

Thanks for letting me answer your question
Mekhanik [1.2K]2 years ago
4 0

Answer: x=-24

Step-by-step explanation:

8-1/3x=16

First you would subtract the 8 from both sides like so:

8-1/3x=16

-8. -8

Giving you:

-1/3x=8

Then you would divide by -1/3:

-1/3x=8

÷-1/3. ÷-1/3

But you can divide by a fraction so you actually multiply by the opposite reciprocal:

X=8(-3)

Giving you:

X=-24

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The drama club is holding auditions for five different parts in a one act play. If my people audition, how many ways can the rul
denpristay [2]

The question is not complete because it is not written correctly

Complete Question:

The drama club is holding auditions for five different parts in a one act play. If 9 people audition, how many ways can the roles be assigned?

a. 362,880

b. 15,120

c. 126

d. 120

Answer:

b. 15,120

Step-by-step explanation:

In other to solve the question above, we would use the formula for permutation.

This is because when assigning 5 DIFFERENT roles to 9 people, the order of assigning the roles is important. The formula for permutation, is used when order is involved.

Permutation (n, r) = nPr = n!/(n - r)!

In the above question,

n = 9 people

r = 5 different parts

9P5 = 9!/(9 - 5)!

= 9!/4! = 9×8×7×6×5×4×3×2×1/ 4×3×2×1

= 362880/ 24

= 15,120

Therefore, the number of ways that the roles can be assigned is 15,120 ways

4 0
3 years ago
The length of a side of a triangle is 36. A line parallel to that side divides the triangle into two parts of equal area. Find t
sp2606 [1]

Answer:

Length of DE is : 18√2 units

Step-by-step explanation:

The length of a side of a triangle is 36.

To calculate : The length of the segment DE

Now, the two parts of triangle have equal area ∴ Area(ADE) = Area(BDEC)

\implies Area(ADE)=\frac{1}{2}\times Area(ABC) \\\\\implies \frac{Ar(ADE)}{Ar(ABC)}=\frac{1}{2}

In ΔABE and ΔABC,

∠A = ∠A     (Common angles)

∠ABE = ∠ABC   (Corresponding angles are always equal)

By AA postulate of similarity of triangles, ΔABE ~ ΔABC.

Hence by area side proportionality theorem

\frac{Ar(ADE)}{Ar(ABC)}=(\frac{DE}{BC})^2\\\\\implies \frac{1}{2}=\frac{DE^2}{36^2}\\\\\implies DE^2=\frac{36^2}{2}\\\\\bf\implies DE=18\sqrt{2}\textbf{ units}

Hence, length of DE is 18√2 units

8 0
3 years ago
Will give brainliest!) What effect will a 90-degree clockwise rotation have on the triangle? Be sure to address how it could imp
Darya [45]

Answer:

The triangle will be same to the first triangle only its side would be changed. The triangle will be congruent to the first triangle. The triangle formed will be the same as the first.

Step-by-step explanation:

7 0
3 years ago
1. 108, 93, 426,766,518,210<br> Find the mean,median,mode,and range of each set of data
Liula [17]

Answer:

Mean (Average):

353.5

Median (Middle):

(210+426)/2 = 318

Mode (Most Common):

No Mode of this set

Range (Biggest - Smallest):

673

Step-by-step explanation:

5 0
3 years ago
Jason plans to pay the water bill with 2 equal payments.
Olenka [21]
\frac{35 +14 +108}{2} = \frac{157}{2} = 78.5 So, the two equal payments will be $78.50
3 0
3 years ago
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