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natka813 [3]
2 years ago
5

Solve the simultaneous equation3600x + 1500y = 1500003960x + 1800y = 171000​

Mathematics
1 answer:
Irina18 [472]2 years ago
6 0

9514 1404 393

Answer:

  (x, y) = (452.5, -986)

Step-by-step explanation:

Dividing the first equation by 300 gives the standard form equation ...

  12x +5y = 500

Dividing the second equation by 180 gives the standard form equation ...

  22x +10y = 95

Subtracting the second of these equations from twice the first gives ...

  2(12x +5y) -(22x +10y) = 2(500) -(95)

  2x = 905 . . . . . simplify

  x = 452.5 . . . . .divide by 2

The second equation tells us ...

  y = (95 -22x)/10 = (95 -9955)/10 = -9860/10 = -986

The solution is (x, y) = (452.5, -986).

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Linear equations... HELP!
fgiga [73]
The answer is m = 250 - 25w.
This is because this answer is in y=mx+b format (slope-intercept form) and has the correct values.
In slope-intercept form, m is the slope and b is y-intercept.
In m = 250 - 25w, the y-intercept is 250 and the slope is -25.
This matches the graph.
Y-intercept is where a line crosses the y-axis, which is 250 in this case.
The slope is negative since the values are decreasing over time (as x-values increase, y-values decrease).
4 0
4 years ago
URGENT!!! please help me with these two problems, and solve with statement-reasoning. Thank you!!!
iren [92.7K]

Answer:

See below.

Step-by-step explanation:

By definition the median of the triangle bisects the  base of the isosceles triangle.

We need to prove that the 2 triangles formed by the median are congruent.

If the 2 triangles are ABD  and ACD  where BD is the median and < ABC is the angle from which BD is drawn.

BD = BD  ( the common side)

AD = DC ( because BD is the median).

AB =  AC ( because ABC is  an isosceles triangle).

So Triangles ABD and ACD are congruent by SSS.

Therefore  m < ABD = m <  CBD,  so BD is the bisector of < ABC.

To prove BD is also the altitude:

Triangles ABD and CBD are congruent as we have just proven. Therefore the

of measure of the base angle ABD = m < CBD . Also they are adjacent angles ( on the same line) so they add up to 180.

Therefore angles ABD and CBD are both  right angles and BD is the altitude of triangle ABC.

8 0
4 years ago
Which of the following data is used to determine credit scores? A. who stays with you at your current residence B. the location
dusya [7]

Answer:

The correct option is the length of stay at your current residence.

Step-by-step explanation:

We have been asked that which data is used to determine credit scores.

The correct option is the length of stay at your current residence.

This question is used to determine credit scores. This helps the lender to look up information about your history of payments. When a lender asks this question they are able to determine how long you typically stay in one place, and look up bills at that residence to make sure they are paid on time before giving out a loan. They can also use this information to determine a credit score based on what is being paid on time, late or not at all...

8 0
3 years ago
scores on the act college entrance exam follow a bell-shaped distribution with mean 18 and standard deviation 6. Wayne's standar
WITCHER [35]

Answer:

His actual score is 15

Step-by-step explanation:

Here, we are interested in calculating Wayne’s actual score on the ACT

when we say the scores have being standardized, it means the score was reported in terms of the z-score and not the initial raw scores.

Now, mathematically, for the scores to have a negative z-score, it means it is actually below the mean.

The formula for the z-score or standard score is given below;

z-score = (x - mean)/SD

where in this case, x = ? which is the score we are looking for , z-score = -0.5 , mean score = 18 and standard deviation of the scores = 6

So, substituting these values into the z-score equation, we have;

-0.5 = (x-18)/6

x-18 = 6(-0.5)

x -18 = -3

x = -3 + 18

x = 15

7 0
3 years ago
F(x)= 2x^2 + k/x point of inflection at x=-1 then value of k is
Nady [450]
I think it isss 2 :)))
4 0
4 years ago
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