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Natalka [10]
2 years ago
5

Answer two questions about Systems AAA and BBB:

Mathematics
1 answer:
MA_775_DIABLO [31]2 years ago
4 0

For the given systems A and B:

1) Replace the first equation of A by the sum between the two equations of A.

2) Yes, the systems are equivalent.

<h3>How to get system B from system A?</h3>

Here we have the two systems of equations:

A:

6x - 5y = 1

-2x + 2y = -1

B:

4x - 3y = 0

-2x + 2y = -1

The second equation is the same in both systems, so we only look at the first equations.

In A we have:

6x - 5y = 1

If we add the second equation of A, then we get:

(6x - 5y) + (-2x + 2y) = 1 + (-1)

4x - 3y = 0

This is the first equation of B.

Then we need to replace the first equation by the sum between the first and second equations.

2) Are the systems equivalent?

Yes, because we did not "modify" system A, we just rewrite it and we got system B, then both systems have the same solutions.

If you want to learn more about systems of equations:

brainly.com/question/847634

#SPJ1

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The percentage of tax is 8/100 × 179.99
So the tax is 15.8392
So total amount she paid is 179.99+15.8392
=195.8292$
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3 years ago
Recipe asks for 4 1/2 pounds of chicken
ohaa [14]
Since a whole recipe asks for 4 1/2 pounds of chicken, then for a 1/2 recipe, you divide 4 1/2 by 2.

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4.50/2 = 2.25 or 2 1/4

You need 2 1/4 pounds of chicken for 1/2 of a recipe.
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3 years ago
a survey of 800 people who binge-watch were asked how many episodes is too many to watch in one viewing session. the results are
Feliz [49]

Answer:

The graph is misleading because the vertical scale is not even. It goes from 0 to 15 and then thereafter the scale reverts to a scale of 5.

This is misleading because had the graph gone in a scale of 5 from the get go, the number of people who thought 3-4 episodes were too much would have looked higher in the graph as they seem to comprise of about 5% of the sample population.  

The scale should begin at 0 and then go like 5 ⇒ 10 ⇒ 15 ⇒ 20 ⇒ 25 ⇒ 30

7 0
4 years ago
Define bookkeeping. briefly describe its objectives <br>define bookkeeping and briefly describe ​
Nimfa-mama [501]

Answer:

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3 0
3 years ago
Can anyone please help me solve this one?<br>the result have to be in positive integers​
GalinKa [24]

Step-by-step explanation:

(a²-b²)(c²-d²) = a²c² - a²d² - b²c² + b²d²

(b²-d²)(c²-a²) = b²c² - a²b² - c²d² + a²d²

the sum of both is

a²c² + b²d² - a²b² - c²d² = a²(c²-b²) + d²(b²-c²) =

= a²(c²-b²) - d²(c²-b²) = (c²-b²)(a²-d²) = 2021

after a little check we find 2021 is only divisible by 43 and 47 (or 1 and 2021).

so, it is clear that our expression resembles

43×47 = 2021

that means that e.g. c²-b² = 43, and a²-d² = 47

or the other way around, it does not matter.

what squared integer numbers give a difference of 43 ? and 47 ?

squared numbers

1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256

289 324 361 400 441 484 529 576

aha ! 484 - 441 = 43

and 576 - 529 = 47

so, we get

a = sqrt(576) = 24

b = sqrt(441) = 21

c = sqrt(484) = 22

d = sqrt(529) = 23

one could also use the formula for consecutive squared numbers

(n+1)² = n² + 2n + 1

under the assumption that the 2 numbers are convective (which it turns out they are in this example) we get

(n+1)² - n² = 2n + 1 = 43

2n = 42

n = 21

n+1 = 22

and for 47

2n + 1 = 47

2n = 46

n = 23

n+1 = 24

4 0
3 years ago
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