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Radda [10]
3 years ago
11

If the ordered pair (x, y) is the solution for the system of equations, what is the value of y? x + y = 29 x + 2y = 12

Mathematics
1 answer:
Crank3 years ago
8 0

Answer:

(46 , -17)

Step-by-step explanation:

hello :

x + y = 29...(*)

x + 2y = 12 ...(**)

multiply (*) by -1 : -x-y=-29   ...(***)

add (**) and(***) : y=-17

put this value in (*) : x-17 =29

so : x=46

one solution : (46 , -17)

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3 years ago
A chemist has 10% and 40% solutions of acid available. How many liters of each solution should be mixed to obtain 120 liters of
kaheart [24]

Answer:

100 liters of  10% solution is used and 20 liters of  40% solution is used

Step-by-step explanation:

Let "X" amount of 10% solution is used. Then the amount of 40% solution used is equal to 120-X

Now

10% of X + 40% of (120-X) = 15% of 120

On solving the above equation, we get

0.1 X + 0.4 (120-X) = 0.15 *120\\0.1 X + 48 -0.4X = 18\\0.3 X = 30\\X = 100liters

Amount of 40% solution used  = 120 -X = 120-100 = 20 liters

100 liters of  10% solution is used and 20 liters of  40% solution is used

7 0
3 years ago
It takes a guard 3 hours to walk 12 miles on foot. Another guard travels by horse at a rate of 14 miles per hour. How long will
kotegsom [21]

Answer:

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Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Please help i need to finish
elena-s [515]

Answer:

B. \overline A \overline C \cong \overline B \overline D

Step-by-step explanation:

The hypotenuse leg theorem (HL) requires the proof that the hypotenuse and the corresponding leg of the triangles to be equal in length. From the diagram, it can be found that \overline D \overline C is a common (shared) side of both triangles, so the additional fact needed is for the hypotenuses to be the same length.

∴ \overline A \overline C \cong \overline B \overline D is the additional fact needed to prove \triangle ADC \cong \triangle BCD

Hope this helps :)

5 0
3 years ago
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erik [133]
I think I know what your asking so the answer would be 27/30 and 28/30 
6 0
3 years ago
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