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ANTONII [103]
3 years ago
12

(Can Someone Help Answer This Problem) + No Links

Mathematics
2 answers:
Alex17521 [72]3 years ago
6 0

Answer:

50 + 100n  

Step-by-step explanation:

The cost is the cost of the visit plus the cost of the cavities

50 + 100n  where n is the number of cavities

IceJOKER [234]3 years ago
5 0

Answer:

P = 50 + 100*n

Step-by-step explanation:

1. The visit is $50

2. Additional cavity is $100

3. n cavities would cost 100*n

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Wilson hiked 9 miles in 2 hours. At this same rate, what is the total number of miles Wilson could hike in 12 hours?
lina2011 [118]

Answer:

54 miles

Step-by-step explanation:

if you divide both the miles and hours, you would get 4.5 equals 1 hour, so multiply by 12 and you get 54!!

6 0
3 years ago
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Find three real numbers​ x, y, and z whose sum is 6 and the sum of whose squares is as small as possible. g
mart [117]
We're minimizing x^2+y^2+z^2 subject to x+y+z=6. Using Lagrange multipliers, we have the Lagrangian

L(x,y,z,\lambda)=x^2+y^2+z^2+\lambda(x+y+z-6)

with partial derivatives

\begin{cases}L_x=2x+\lambda\\L_y=2y+\lambda\\L_z=2z+\lambda\\L_\lambda=x+y+z-6\end{cases}

Set each partial derivative equal to 0:

\begin{cases}2x+\lambda=0\\2y+\lambda=0\\2z+\lambda=0\\x+y+z=6\end{cases}

Subtracting the second equation from the first, we find

2x-2y=0\implies x=y

Similarly, we can determine that x=z and y=z by taking any two of the first three equations. So if x=y=z determines a critical point, then

x+y+z=3x=6\implies x=y=z=2

So the smallest value for the sum of squares is 2^2+2^2+2^2=12 when (x,y,z)=(2,2,2).
8 0
3 years ago
Solve the equation for x<br><br> 5(x-3)+2x=4(x+3)
Tamiku [17]

x = 9

Step-by-step explanation:

5x - 15 + 2x = 4x + 12

7x - 4x = 12 + 15

3x = 27

x = 9

8 0
3 years ago
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Two fair dice are rolled at the same time. What is the probability that one die will show 3 and the other will show 4? A. 1/36
Olin [163]

Answer:

1/36

Step-by-step explanation:

There are 6 numbers on a die. You have a 1/6 chance of rolling a 3 and a 1/6 chance of rolling a 4. 1/6 times 1/6 = 1/36.

5 0
3 years ago
The altitude of an equilateral triangle is 5 cm. what is the length of a side of the triangle?
Grace [21]

Answer:

The length side of the triangle is \frac{10\sqrt{3}}{3}\ cm

Step-by-step explanation:

we know that

The equilateral triangle has three equal sides and three equal internal angles of measure of 60 degrees each.

Let

b------> the length side of the equilateral triangle

Applying Pythagoras theorem

b^{2}=(b/2)^{2}+5^{2}\\\\ b^{2}-(b/2)^{2}=25\\\\ (3/4)b^{2}=25\\ \\b^{2} =25*4/3\\ \\b=\frac{10}{\sqrt{3}}\ cm\\ \\b=\frac{10\sqrt{3}}{3}\ cm

3 0
3 years ago
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