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klemol [59]
3 years ago
8

GAMING You advance 3 levels in 15 minutes. Your friend advances 5 levels in 20 minutes.

Mathematics
1 answer:
bulgar [2K]3 years ago
7 0
3 / 15 = 1 / 5
5 / 20 = 1 / 4

so no, they are not. we know this because when you turn them into proportions and simplify them, the two rates are not equal
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Find the solution to this system of equations <br> 3x+2y+3z=3 4x-5y+7z=1 2x+3y-2z=6 <br> x=? Y=? Z=?
Ede4ka [16]

Answer:

The solution is x=2,\ y=0,\ z=-1.

Step-by-step explanation:

You are given the system of three equations:

\left\{\begin{array}{l}3x+2y+3z=3\\4x-5y+7z=1\\2x+3y-2z=6\end{array}\right.

Multiply the first equation by 4, the second equation by 3 and subtract them. Then multiply the third equation by 2 and subtract it from the second equation:

\left\{\begin{array}{l}3x+2y+3z=3\\4(3x+2y+3z)-3(4x-5y+7z)=4\cdot 3-3\cdot 1\\4x-5y+7z-2(2x+3y-2z)=1-2\cdot 6\end{array}\right.\Rightarrow \\\\\left\{\begin{array}{l}3x+2y+3z=3\\12x+8y+12z-12x+15y-21z=12-3\\4x-5y+7z-4x-6y+4z=1-12\end{array}\right.

So,

\left\{\begin{array}{rl}3x+2y+3z=3\\23y-9z=9\\-11y+11z=-11\end{array}\right.\Rightarrow \left\{\begin{array}{l}3x+2y+3z=3\\23y-9z=9\\y-z=1\end{array}\right.

Multiply the third equation by 23 and subtract it from the second equation:

\left\{\begin{array}{rl}3x+2y+3z=3\\23y-9z=9\\23y-9z-23(y-z)=9-23\cdot 1\end{array}\right.\Rightarrow \left\{\begin{array}{rl}3x+2y+3z=3\\23y-9z=9\\23y-9z-23y+23z=9-23 \end{array}\right.

Hence,

\left\{\begin{array}{rl}3x+2y+3z=3\\23y-9z=9\\14z=-14 \end{array}\right.\Rightarrow z=-1

Substitute it into the second equation:

23y-9\cdot (-1)=9\Rightarrow 23y+9=9\\ \\23y=0\\ \\y=0

Substitute them into the first equation:

3x+2\cdot 0+3\cdot (-1)=3\Rightarrow 3x-3=3\\ \\3x=6\\ \\x=2

The solution is x=2,\ y=0,\ z=-1.

3 0
3 years ago
Fine the area of a circle with a radius of 7 in. Write the formula, substitute, solve.
bija089 [108]

Formula: A=(pi)r^2

Substitution: A=3.14(7^2)

                     A=3.14(49)

Solve: A=153.86 in^2


*I personally like to use the pi sign on my calculator to multiply the radius squared by, but my keyboard did not have a pi sign.  Usually, the pi sign is more exact.  If you used the pi sign, your answer would be 153.94 inches^2.  Hope this helps!

8 0
3 years ago
Mathematical question, please see the picture. Thanks
KengaRu [80]

Answer:

B) $23.45

C) $157.50

A + B + C = $330.95

Step-by-step explanation:

$6.70 × 20 = $137 17.5% of $137 = $23.45

45c × 350 = $157.5

$150 + $23.45 + $157.50 = 330.95

6 0
2 years ago
On the map, the distance between two cities is 7.3 centimeters. The map scale is 1cm:50. What is the actual distance between the
bonufazy [111]
1 cm : 50.

7x50=350
              +
0.3x50=15 = 315.             The actual distance is 315 miles.(?)
                       
(?)-The other measurement wasn't given.

8 0
3 years ago
What is the solution to the equation 9^(−3x) ≈ 7?
Paraphin [41]

9^{-3x}=7\ \ \ \ |ln\\\\\ln9^{-3x}=\ln7\ \ \ \ |use\ \log a^n=n\log a\\\\-3x\ln9=\ln7\ \ \ \ |:(-3\ln9)\\\\x=\dfrac{\ln7}{-3\ln9}\to x\approx-\dfrac{1.9459}{3\cdot2.1972}\to x\approx-0.295\\\\Answer:\ c)\ x=-0.295

6 0
3 years ago
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