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padilas [110]
2 years ago
10

6,000 people voted in a town election. Of the two candidates, the winning candidate received 4,000 more votes than the losing ca

ndidate. How many votes did the winner get?
Mathematics
1 answer:
AVprozaik [17]2 years ago
8 0

Answer:

Step-by-step explanation:

let x = the number of votes of the first person

winner  = x + 4000

x+ x+4000 = 6000

2x=2000

x=1000

first person = x = 1000

winner  = x+4000 = 5000

The winner got 5000 votes

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Please help i will mark brainliest
Evgen [1.6K]

Answer:

2. \left[\begin{array}{ccc}1&4\\0&3\\\end{array}\right]

3. \left[\begin{array}{ccc}-3&21&60\\-15&9&-45\\\end{array}\right]

4. \left[\begin{array}{ccc}6&-14\\-2&-6\\\end{array}\right]

Step-by-step explanation:

2. This matrix is easy, as it just requires addition.

\left[\begin{array}{ccc}1&4\\0&3\\\end{array}\right]    +     \left[\begin{array}{ccc}0&0\\0&0\\\end{array}\right]   =  \left[\begin{array}{ccc}1&4\\0&3\\\end{array}\right]

3. This matrix requires for the matrices to be multiplied first, then added.

\left[\begin{array}{ccc}9&-15&18\\-27&15&-9\\\end{array}\right]    +     \left[\begin{array}{ccc}-12&36&42 \\12& -6 & -36 \\\end{array}\right]     =   \left[\begin{array}{ccc}-3&21&60\\-15&9&-45\\\end{array}\right]

4.  Here we can add the last 2 matrices to find x.

\left[\begin{array}{ccc}2&-8\\-4&2\\\end{array}\right]   +   \left[\begin{array}{ccc}4&-6\\2&-8 \\\end{array}\right]  = \left[\begin{array}{ccc}6&-14\\-2&-6\\\end{array}\right]

Hope this helps! (Please consider giving brainliest)

4 0
3 years ago
If g(x)=3x-11, what is x is g(x)=289
Liula [17]

Answer:x=100

Step-by-step explanation:

Since you know that g(x)=3x-11 all you have to do is substitute that into g(x)=289. So you get 3x-11=289. To get x you have to add 11 on both sides.

3x-11=289

+11 +11

----------------

3x = 300

Divide 3 on both sides to get x by itself

3x =300

---- -------

3 3

x=100

8 0
3 years ago
Emily invested in Google Stock (in the thousands of dollars) between the years 2000- 2013. The value of the stock can be modeled
jek_recluse [69]
To find it, evaluate it at the endpoints and the vertex
in form
f(x)=ax²+bx+c
the x value of the vertex is -b/2a


given
c(t)=1t²-10t+76
x value of vertex is -(-10)/1=10


evaluate c(0) and c(13) and c(10)
c(0)=76
c(13)=115
c(10)=76

it reached minimum in 2000 and 2010
porbably teacher wants 2010
the min value is $76
7 0
2 years ago
Rearrange formula to make x subject y=x²-2​
Pavel [41]

Answer:

x=sqrt(y+2), -sqrt(y+2)

Step-by-step explanation:

y=x^2-2

x^2=y+2

x=sqrt(y+2), -sqrt(y+2)

6 0
3 years ago
What is the GCF of 96x5 and 64x2?
Lady_Fox [76]

Answer:

32

Step-by-step explanation:

32 is the GCF of the whole numbers and up to x2 can go into both  

The answer should be 32x2

Hope this helps

4 0
2 years ago
Read 2 more answers
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