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I am Lyosha [343]
3 years ago
15

2x - 7 + x - 11 = 3x - 11 X = ?

Mathematics
1 answer:
Gekata [30.6K]3 years ago
3 0

Answer:                                  -7=0 --> Impossible

Step-by-step explanation:  

2x-7+x-11= 3x-11

2x+x-7-11=3x-11

3x-18=3x-11

3x-18+11=3x

3x-7-3x=0

-7=0

Impossible

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A cruise ship is traveling at 20 miles per hour. Use a direct variation formula to calculate the number of miles traveled in 7 h
34kurt
It would be 20*7 which will give you 140 miles in 7 hours
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3 years ago
2. Solve the system of equations. Write your answer in parametric vector notation. X, +5x2 + 4x3 + 3x4 +9xs = 18 2x, +6x2 + 4x3
ratelena [41]

Answer:

The system is inconsistent.

Step-by-step explanation:

The system is

x_1+5x_2+4x_3+3x_4+9x_5=18\\2x_1+6x_2+4x_3+6x_4+6x_5=28\\3x_1+7x_2+4x_3+10x_4+x_5=41\\4x_1+6x_2+2x_3+7x_4+4x_5=29

The associated matrix to the system is

\left[\begin{array}{cccccc}1&5&4&3&9&18\\2&6&4&6&6&28\\3&7&4&10&1&41\\4&6&2&7&4&29\end{array}\right]

Now we use row operations to find the echelon form of the matrix:

1. We substract to row 2, two times the row 1.

We substract to row 3, three times the row 1.

We substract to row 4, four times the row 1 and obtain the matrix

\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&-4&-4&0&-12&-8\\0&-8&-8&1&-26&-13\\0&-14&-14&-5&-32&-43\end{array}\right]

2. We multiply the second row of the preview step by -1/4. We obtain the matrix

\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&-8&-8&1&-26&-13\\0&-14&-14&-5&-32&-43\end{array}\right]

3.

We add to row 3, eight times the row 2.

We add to row 4, fourtheen times the row 2 and obtain the matrix

\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&0&0&1&-2&3\\0&0&0&-5&10&-155\end{array}\right]

4. We add to row 4 of the preview step, five times the row 3 and obtain the matrix

\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&0&0&1&-2&3\\0&0&0&0&0&-140\end{array}\right]

Using backward substitution we have that

0x_5=-140, then 0=-140 and this is absurd. Then The system is inconsistent.

4 0
4 years ago
The sum of a number xx and 4 equals 12. an equation that represents this sentence is
lora16 [44]
X + 4 = 12

This is because the question gives you everything you require for this sentence to be formed. 12 is the final answer. 4 is added on and x is basically the number that is to be found.
5 0
3 years ago
Hector, Sam, Ted, and Gina are comparing their savings. Hector saved twice as much money as Sam. Ted saved $100 more than Hector
lutik1710 [3]

Answer:

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Step-by-step explanation:

Given: Hector saved twice as much money as Sam.

           Ted saved $100 more than Hector.

           Gina saved $50 less than Ted.

As given, lets assume the amount of money Sam has in saving be "x".

Now, finding saving of each person given.

Writing the algebric expression of each´s saving amount.

we know, Hector saved twice as much money as Sam.

∴ Hector saving= \$2x

Also, Ted saved $100 more than Hector.

∴ Ted´s saving= \$(2x+100)

Next finding Gina´s saving

As given, Gina saved $50 less than Ted.

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Opening parenthesis and solving it.

⇒ Gina´s saving= \$ 2x+\$50

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5 0
4 years ago
There are 20 players on a soccer team. From them, a captain and an alternate captain have to be chosen. How many possibilities a
tester [92]

Answer:

190 possibilities.

Step-by-step explanation:

The problem is called 20 choose 2, given by the formula for combinations

C(20,2) = 20! / (2! (20-2)!) = 190

alternatively, we can reason it this way:

there are 20 choices to choose a captain and 19 choices for an alternate captain for a total of 380 ways.

However, there are 20 choices to choose an alternate captain and 19 choices for a captain for a total of 380 ways.

Since we are essentially double counting every choice of the posts, we need to divide 380 by 2 to get 190 ways.

3 0
3 years ago
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