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stealth61 [152]
3 years ago
5

Solve the system using the addition method. State your solution as an ordered pair.

Mathematics
1 answer:
vladimir1956 [14]3 years ago
6 0

Solution as ordered pair is:

(5,\frac{41}{2})

Step-by-step explanation:

Solving the system of equations:

3x+2y=56\,\,\,(1)\\9x-2y=4\,\,\,(2)

Adding equation(1) and equation(2)

3x+2y=56\\9x-2y=4\\--------\\12x=60\\x=\frac{60}{12}\\x=5

Putting value of x i.e x=5 in equation(1)

3x+2y=56\\3(5)+2y=56\\ 15+2y=56\\2y=56-15\\2y=41\\y=\frac{41}{2}\\y=\frac{41}{2}

So, value of x=5 and y=\frac{41}{2}

Solution as ordered pair is:

(5,\frac{41}{2})

Keywords:System of Equations

Learn more about System of Equations at:

  • brainly.com/question/6075514
  • brainly.com/question/7490805
  • brainly.com/question/13168205

#learnwithBrainly

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17. What are the three angle measures in the triangle shown below?
lianna [129]

Answer:

Option (1)

Step-by-step explanation:

By using triangle sum theorem in the given triangle,

(5x - 7)° + (11x - 4)° + (3x + 1)° = 180°

(5x + 11x + 3x) - (7 + 4 - 1) = 180

19x - 10 = 180

19x = 190

x = 10

Therefore, (3x + 1)° = 30 + 1

                                = 30°

(11x - 4)° = 110 - 4

              = 106°

(5x - 7)° = 43°

Therefore, Option (1) will be the correct option.

4 0
3 years ago
Four whole nuber are each rounded to the nearest 10 the sum of the four rounded numbers is 90 what is the possible maximum sum o
bearhunter [10]

Answer:

106

Step-by-step explanation:

Let's try guessing...

45+45=90\\30+30+30=90\\10+20+30+30=90

All the units place has to be 4, if it is higher than 4 then the answer will not be 90 (the sum of the four rounded numbers).

14 + 24 + 34 + 34= 106

3 0
3 years ago
7. Jason wants to walk the shortest distance to get from the parking lot to the beach
Assoli18 [71]
There are 3 right triangles.
                         Long leg          short leg           hypotenuse
Large                  ?                          ?                       32+18 = 50 m
Medium            32 m                     x                          ?
Small                   x                         18 m                    ?

Similar triangles: small & medium

short leg / long leg
x/32 = 18/x
x*x = 18 * 32
x² = 576
√x² = √576
x = 24

                       Long leg          short leg           hypotenuse
Large                  ? → 40 m          ?                       32+18 = 50 m
Medium            32 m                     24 m                 ? → 40 m
Small                24 m                     18 m                  ? → 30 m

solve hypotenuse of medium and small using Pythagorean theorem.

32² + 24² = c²
1024 + 576 = c²
1600 = c²
√1600 = √c²
40 = c

24² + 18² = c²
576 + 324 = c²
900 = c²
√900 = √c²
30 = c

Solve for the long leg of the large right triangle using ratio and proportion
medium and large: long leg / hypotenuse

32/40 = x/50
32*50 = 40 * x
1600 = 40x
1600/40 = x
40 = x
<span>
</span><span>A. How far is the spot on the beach from the parking lot? 24 meters

B. How far will he have to walk from the parking lot to get to the refreshment stand? 40 meters
</span>
7 0
3 years ago
Una empresa comercial vende automóviles cuyo precio es de S/. 60 000, con una cuota inicial del 20%, para cancelar el saldo en 3
Inessa05 [86]

Responder:

2560

Explicación paso a paso:

Dado lo siguiente:

Precio del automóvil = 60000

Cuota inicial = 20% del precio = (0.2 * 60000 = 12,000

Saldo = (60000 - 12000) = 48000

La empresa cobra un interés simple del 12% cada 6 meses

Periodo de pago = 30 meses / 6 = 5 periodos

Interés simple: p * r * t

= 48000 * 0,12 * 5 = 28800

Por lo tanto, monto total a reembolsar, incluidos los intereses:

Balance + 28800; 48000 + 28800 = 76800

El reembolso mensual es fijo;

Por lo tanto,

76800/30 = 2560

4 0
3 years ago
Are 10y+5 and 15y equivelent
nekit [7.7K]

Answer:

No

Step-by-step explanation

10y + 5  is multiply by 10 and add 5

where  15y is multipy by 15

5 0
3 years ago
Read 2 more answers
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