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Tresset [83]
3 years ago
9

4x+9/y+11=0 and 6/y -3x=8​

Mathematics
1 answer:
ladessa [460]3 years ago
8 0

9514 1404 393

Answer:

  (x, y) = (-2 12/17, -51)

Step-by-step explanation:

Here is the answer to ...

  4x+\dfrac{9}{y}+11=0\\\\\dfrac{6}{y}-3x=8

If you mean something else, then parentheses are needed.

__

Let z = 1/y. Then the equations in general form are ...

  4x+9z+11=0\\3x-6z+8=0

The solution (cross multiplication method) is ...

  x = (9·8 -(-6)·11)/(4(-6)-3·9) = 138/-51 = -2 12/17

  z = (11·3 -8·4)/-51 = -1/51

  y = 1/z = -51

The solution is (x, y) = (-2 12/17, -51).

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Step-by-step explanation:

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jenell wants to invest $5800 in a savings account that pays 6.6% simple interest. how long will it take for this investment to d
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5 0
3 years ago
A chef is going to use a mixture of two brands of Italian dressing the first brand contains contains 7% vinegar and the second b
Cerrena [4.2K]

Answer:

176 of 12% vinegar

44 of 7% vinegar

Step-by-step explanation:

Percentage vinegar required = 11%

Volume = 220 mL

First brand % = 7%

Second brand % = 12%

Let p = volume of 12% vinegar material

Mixture :

0.12p + 0.07(220 - p) = 220 * 0.11

0.12p + 15.4 - 0.07p = 24.2

0.05p = 8.8

p = 8.8 / 0.05

p = 176

176 of 12% vinegar and

220 - 176 = 44

44 of 7% vinegar

4 0
3 years ago
The side of one square is equal to 3m and its diagonal is equal to the side of a second square. Find the diagonal of the second
navik [9.2K]

Answer:

6m

Step-by-step explanation:

the side of first square = 3 m

area of first square = 3^2= 9 m^2

let the side of second square = x m

since diagonal of first square = x m as per the question

in a square each angle is 90 degree

therefore by applying pythagorus theorem ,

diagonal ^2 = side^2 + side ^2

diagonal^2 = 3^2+3^2=9+9

DIAGONAL= square root of 18

diagonal= 3\sqrt{2} m = side of second square

therefore in second square ,

one angle is 90  degree , therefore by applying pythagorue theorem

diaqonal^2 = side ^2 + side ^2 = (3\sqrt{2})^2 + ( 3\sqrt{2})^2

diagonal ^2 = 18 + 18

diagonal = square root of 36

therefore diagonal of second square is 6m

hope it helps you... please mark me as the brainliest..

8 0
3 years ago
Read 2 more answers
a patient was supposed to take 560 mg of medicine but took on The 420 mg what percent of medicine does she take
Sav [38]
You need to set the correct porportion. x is the percent value you want to find. 100 is the maximum percentage. 420mg is what was taken out of the maximum 560mg dose.

\frac{x}{100} \times \frac{420}{560}

You will cross multiple.

560x = 42000

you will divide 42000 by 560

\frac{560x}{560} = \frac{42000}{560}
x = 75

The complete answer will be: The patient took 75% of the 560mg dose of medication.
5 0
3 years ago
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