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MatroZZZ [7]
4 years ago
15

8)Find a point R on segment ST such that the length of TR is 2/3 the length of ST. *

Mathematics
1 answer:
Tom [10]4 years ago
3 0
2/3 x 10 = 6.66666 because we are trying to find 2/3 OF 10/1
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A video store specializes in three types of movies: children's, American West, and horror. It's known that:
xenn [34]

X, y, z denote children's movies, western movies, and horror movies, respectively. The related system of equations is formed and solved.

\left\{\begin{matrix} \qquad\qquad\ \dfrac{60}{100}x + \dfrac{50}{100}y =\dfrac{30}{100}(x+y+z)\\ \dfrac{20}{100}x+ \dfrac{60}{100}y+ \dfrac{60}{100}z= \dfrac{1}{2}(x+y+z) \\ \ \ \ x+100=y \end{matrix} \right.\

Simplifying the system of equations, we have

\left\{\begin{matrix} 3x + 2y -3z=0\\ -3x+ y+ z= 0 \\ \ \ \ x+100=y \end{matrix} \right.\ \ \Longrightarrow \ \left\{\begin{matrix} 5x-3z=-200\\ -2x+ z= -100 \end{matrix} \right.\

\ \ \  5x-3z=-200\\\underline{-6x+3z=-300} \ \Rightarrow \ x=500\\\ \ -x+0= \ 500

                                       y&=500+100=600\\ z&=3(500)-600=900

The video store has 500 children's movies, 600 westerns and 900 horror movies.

6 0
2 years ago
How do I do <br> (5y-4)^2<br> with steps?<br> Thank you!
True [87]
<span>first, you have to turn (5y-4)^2 into (5y-4)(5y-4).
From there, you would FOIL, or multilpy the 5y by the 5y, which is 25y^2, the multiply the 5y by the -4, which is -20y, then multiply the -4 by the 5y which is -20y, and then multiply the -4 by the -4, which is 16. It would then look like this: 25y^2 - 20y - 20y +16. Then you would add (or in this case, subtract) like terms. You would add -20y and -20y, which is -40y. The end expression would be 25y^2 - 20y +16. Hope this helps!

</span>
7 0
4 years ago
Read 2 more answers
If a central angle measures 54°, how would you find the intercepted arc created by the angle?
makvit [3.9K]

Answer:

66 degrees

Step-by-step explanation:

1+2+3

7 0
3 years ago
1 a.) 20cm^2 to mm^2
mixas84 [53]

Answer:

a) 200 mm^2

b) 500 mm^2

c) 3.75e + 8

d) 6390 cm^2

e) 650 cm^2

f) 20 m/s

Step-by-step explanation:

For a) and b): 1 cm = 10 mm, multiply 20 (and 50) by 10

For c): the formula is to multiply 1e + 8

For d): 1 Liter = 1000 Cubic Centimeters  (hopefully that's what you're referring to)

For e): 10 mm = 1 cm, divide by 10

For f): divide the value by 3.6

6 0
3 years ago
Complete the square to solve the equation below.
Vinil7 [7]

9514 1404 393

Answer:

  B.  x = -6, x = 4

Step-by-step explanation:

The constant on the left wants to be 1, the square of half the x-coefficient. We can get it to be that value by adding 8 to the equation.

  x² +2x +1 = 25

  (x +1)² = 25 . . . . . . . rewrite the left side as a square

  x +1 = ±√25 = ±5 . . . . take the square root

  x = -1 ±5 . . . . . . . . . subtract 1

  x = -6 or x = 4

3 0
3 years ago
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