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tekilochka [14]
3 years ago
11

Twenty pounds of a salt-water solution contains fifteen percent salt. How much salt is in the water?

Mathematics
1 answer:
Illusion [34]3 years ago
3 0

Answer:3

Step-by-step explanation:

15 percent of 20 pounds is 17 subtract 17 from 20 equals 3

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Oscar says to Vanesa: "I am five times the age you were when I was the age you are; and when you are the age I am, our ages will
Gemiola [76]

Answer:

Vanessa is 60 and the other person is 12

Step-by-step explanation:

X + 5x = 72

6x = 72

x = 12

12 x 5 = 60

vanessa is 60

the other person is 12

60 + 12 = 72

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In a room with 10 people, how many different handshakes are possible?
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45 handshakes are possible
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Line AB has endpoints A(-4,5) and B(3,5). What is the x-coordinate of a point C such that B is the midpoint of line AC
Ipatiy [6.2K]
Easy peasy

the midpoint between (x_1,y_1) and (x_2,y_2) is
(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})
just average them

so given that (3,5) is the midpoint of (-4,5) and (x,y)
(\frac{-4+x}{2},\frac{5+y}{2})=(3,5)
so by logic
\frac{-4+x}{2}=3 and \frac{5+y}{2}=5
times both sides by 2 for everybody
-4+x=6 and 5+y=10
add 4 to both sides for left one and minus 5 from both sides for right
x=10 and y=5

the coordinate of point C is (10,5)
the x coordinate is 10
7 0
3 years ago
Find the arc-length parametrization of the curve that is the intersection of the elliptic cylinder x 2 + y 2/2 = 1 and the plane
storchak [24]

Answer:

f(\theta) = (cos(\frac{\theta}{\sqrt2}), \sqrt2 sin(\frac{\theta}{\sqrt2}), cos(\frac{\theta}{\sqrt2})-2)

0 ≤ Ф ≤ 4π.

Step-by-step explanation:

since x²+y²/2 = 1, then x²+s² = 1, with s = (y/√2)². Hence, (x,s) = (cos(Ф),sin(Ф)) and (x,y,z) = (cos(Ф),√2 sin(Ф), cos(Ф)-2). This expression evaluated in zero gives as result (1,0,-1). The derivate of this function is (-sin(Ф),√2 cos(Ф), -sen(Ф))

the norm of the derivate is √(sin²(Ф) + 2cos²(Ф)+sin²(Ф)) = √2. In order to make the norm equal to 1, i will divide Ф by √2, so that a √2 is dividing each term after derivating.

We take

f(\theta) = (cos(\frac{\theta}{\sqrt2}), \sqrt2 sin(\frac{\theta}{\sqrt2}), cos(\frac{\theta}{\sqrt2})-2)

Note that

  • f(0) = (1,0,-1)
  • f'(\theta) = (\frac{sin(\frac{\theta}{\sqrt2})}{\sqrt2}, cos(\frac{\theta}{\sqrt2})}, \frac{sin(\frac{\theta}{\sqrt2})}{\sqrt2})

Whose square norm is 1/2cos²(Ф/2)+sen²(Ф/2)+1/2cos²(Ф/2) = 1. This is te parametrization that we wanted.

The values from Ф range between 0 an 4π, because the argument of the sin and cos is Ф/2, not Ф, Ф/2 should range between 0 and 2π.

6 0
3 years ago
Please help<br><br> Look at picture <br><br> Supplementary angles
Brilliant_brown [7]

Answer:

1)=> x=22

2)=> x=16

Step-by-step explanation:

....,....................

7 0
3 years ago
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