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alexandr1967 [171]
3 years ago
12

A system of three linear equations in three variables is consistent and independent. How many solutions to the system exist?

Mathematics
1 answer:
sergey [27]3 years ago
3 0

Answer:

1 solution.

Step-by-step explanation:

consistent means it has at least 1 solution

independent means it only has 1 solution

so your answer is : 1 solution

please mark me brainliest :)

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Bruce saved $35.00 to buy a new video game. The game's original price was $42.00, but it was on sale or 30% off. The sales tax r
Tems11 [23]

Bruce does have enough money to buy the video game.

x/42 = 30/100

x=12.60 - This is the amount of money the video game is without tax

x/12.60 = 5/100

x=0.63 - sales tax amount

0.63+12.60=13.23 - amount of video game with tax

6 0
3 years ago
Triangle ABC has vertices at A(3, 8) , B(11, 8) , and C(7, 12) . Triangle FGH has vertices at F(8, 4) , G(16, 4) , and H(12, 8)
KiRa [710]
Vertices of ΔABC 
A - <span>(3, 8)
</span><span>B - (11, 8)
C - (7, 12)
vertices  of </span>Δ<span>FGH
F - (8, 4)
G - (16, 4)
H - (12, 8) 
after a translation the size nor shape of the triangle changes, every point of the triangle moves the same distance in the same direction. 
if we take point A and F
x coordinates of A = 3 and F = 8
the change that has happened can be noted as 'm'
3 + m = 8
m = 5
this means that the point has moved 5 units to the right
y coordinates of A = 8 and F = 4
change that happened is 'n'
8 + n = 4
n = -4
this means that point has moved 4 units downwards

Therefore the correct answer is </span><span>Translate ​ triangle ABC ​ down 4 units, and then translate ​ triangle ABC right 5 units</span>
3 0
4 years ago
Read 2 more answers
What is the answer to this question someone help pls: Find three consecutive integers whose sum is -30
Cerrena [4.2K]

Answer:

  -11, -10, -9

Step-by-step explanation:

The middle one is their average, -30/3 = -10. The three integers are -11, -10, -9.

_____

I like to work "consecutive integer" problems using the average value of the integers involved. The average of <u>two</u> consecutive integers is 1/2 more than the small one, and 1/2 less than the large one, for example. Here, there are <u>three</u> consecutive integers, so their average is the middle one.

If you want to write that using an equation, you can let x represent the middle integer. Then the sum is ...

  (x -1) +(x) + (x+1) = 3x = -30

  x = -30/3 = -10 . . . . . the same average we computed above.

  x -1 = -11 . . . . . the smaller of the other two integers

  x +1 = -9 . . . . . the larger of the other two integers

8 0
3 years ago
Compare the decimals 6,324.50 and 6,324.5
PolarNik [594]
There is nothing to compare since both of the decimals are equal. The zero at the end doesn't mean anything.

Hope This Helps You!
Good Luck Studying :)
7 0
3 years ago
Read 2 more answers
in an election about 500,000 people voted in all which number could be the exact number of people who voted in the election
GREYUIT [131]

I think this question is asking for the closest number to 500,000, which is 533,736. I don't know how to show work for this, except for saying this number is about 33,000 away from 500,000 which is the closest out of 429,455, 441,689, 533,736, and 550,198.

8 0
4 years ago
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