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Svetllana [295]
3 years ago
7

1) Danielle completely covered a square window using 18.4 ft of contact paper without any

Mathematics
1 answer:
Bumek [7]3 years ago
7 0
The answer should be b. because 4(4) = 16 and that’s closer to 18.4 than the others.
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Solve the system of equations.
emmainna [20.7K]

x = \frac{ 419 }{ 113 } ~,~y = -\frac{ 208 }{ 113 } ~,~z = \frac{ 21 }{ 113 }

<h2>Explanation:</h2>

We have the following system of three linear equations:

\begin{array}{ cccc }2~ x&+~~4~ y&+~~32~ z&~=~6\\5~ x&+~~8~ y&+~~~~ z&~=~4\\4~ x&+~~5~ y&+~~2~ z&~=~6\end{array}

Let's use elimination method in order to get the solution of this system of equation, so let's solve this step by step.

Step 1: Multiply first equation by -5/2 and add the result to the second equation. So we get:

\begin{array}{ cccc }2~ x&+~~4~ y&+~~32~ z&~=~6\\&-~~~2~ y&-~~~79~ z&~=~-11\\4~ x&+~~5~ y&+~~2~ z&~=~6\end{array}

Step 2: Multiply first equation by −2 and add the result to the third equation. So we get:

\begin{array}{ cccc }2~ x&+~~4~ y&+~~32~ z&~=~6\\&-~~~2~ y&-~~~79~ z&~=~-11\\&-~~~3~ y&-~~~62~ z&~=~-6\end{array}

Step 3: Multiply second equation by −32 and add the result to the third equation. So we get:

\begin{array}{ cccc }2~ x&+~~4~ y&+~~32~ z&~=~6\\&-~~~2~ y&-~~~79~ z&~=~-11\\&&+~~\frac{ 113 }{ 2 }~ z&~=~\frac{ 21 }{ 2 }\end{array}

Step 4: solve for z.

\begin{aligned}       \frac{ 113 }{ 2 } ~ z & = \frac{ 21 }{ 2 } \\      z & = \frac{ 21 }{ 113 }       \end{aligned}

Step 5: solve for y.

\begin{aligned}-2y-79z &= -11\\-2y-79\cdot \frac{ 21 }{ 113 } &= -11\\y &= -\frac{ 208 }{ 113 } \end{aligned}

Step 6: solve for x by substituting y=-\frac{208}{113} and z = \frac{21}{113} into the first equation:

2x+4(-\frac{208}{113})+32(\frac{21}{113})=6 \\ \\ 2x-\frac{832}{113}+\frac{672}{113}=6 \\ \\ 2x=6+\frac{832}{113}-\frac{672}{113} \\ \\ 2x=\frac{838}{113} \\ \\ x=\frac{319}{113}

Finally:

x = \frac{ 419 }{ 113 } ~,~y = -\frac{ 208 }{ 113 } ~,~z = \frac{ 21 }{ 113 }

<h2>Learn more:</h2>

Solving System of Equations: brainly.com/question/13121177

#LearnWithBrainly

7 0
4 years ago
melania walked her dog 2 1 /5 miles. cqthy walked her dog 1 3/4 times as far as melania did. how many more miles did cathy walk
stira [4]
Let’s set this equation up to make this easier.

melanie= 2 1/5 miles walked
cathy= 1 3/4 more times than melanie.

when an equation says the word, more than this means adding. when it says less than this means subtraction. when it says times (in this question) then multiply.

so, if cathy walked 1 3/4 more times than melanie what we would do is multiply 1 3/4 to what melanie was walking. so 2 1/5 times 1 3/4 which equals 3.85.

so overall, cathy walked 3.85 more miles than melanie.
7 0
3 years ago
Jeffery is a spelunker. He explores caves. Jeffery has been collecting data on the growth of stalactites over a period of years.
user100 [1]

Answer:

3.12

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Suppose f(x)=x^2. what is the graph of g(x)=f(3x)?<br>​
Katarina [22]

Answer:

D

Step-by-step explanation:

because since there is no negative sign in front of the 3x we automatially know there is no reflection so that rules out answers A and B. Then, since 3 is greater than 1 we can determine that it is a stretch which would rule out answer C so the answer is D

6 0
3 years ago
Perform the indicated operation on thefollowing polynomials: (3x4 - 2 + 8x³) + (7x³-6 +7x4)
pogonyaev

Given:

(3x^4 - 2 + 8x^3 ) + (7x^3 - 6 + 7x^4 )

Add like terms together ( same variables and exponents )

3x^4 + 7x^4 +8x^3 + 7x^3 -2 - 6

10x^4 + 15x^3 - 8

Answer :

10x^4 + 15x^3 - 8

6 0
1 year ago
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