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Blababa [14]
3 years ago
9

One number is 6 less than 3 times another number and their sum is 62.find the numbers

Mathematics
1 answer:
zysi [14]3 years ago
3 0

y = 6 - 3x

x + y = 62

Since we already know the value of y, we can use substitution to find the value of x.

x + 6 - 3x = 62

<em><u>Subtract 6 from both sides.</u></em>

x - 3x = 56

<em><u>Combine like terms.</u></em>

-2x = 56

<em><u>Divide both sides by -2</u></em>

x = -28

Now that we know the value of x, we can solve for the value of y.

x + y = 62

-28 + y = 62

<em><u>Add 28 to both sides</u></em>

y = 90

The value of y is 90, and the value of x is -28 (this is your answer)

To make sure that these values are correct, we can plug them into the original equations.

y = 6 - 3x

x + y = 62

90 = 6 - 3(-28)

90 = 90 √ this is correct

-28 + 90 = 62

62 = 62 √ this is also correct

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Answer: Indeed i am

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7 0
3 years ago
El ingreso de una empresa de construcción de obras civiles se estima a través del tiempo de acuerdo con la siguiente función I(t
brilliants [131]

Usando conceptos de funciones cuadráticas, se encuentra que:

  • El máximo ingreso será alcanzado en 6 años.
  • El máximo ingreso será de 800 miles de soles.

La función que estimate el tiempo es dada por:

I(t) = -64 + 288t - 24t^2

Que es una función cuadrática con coeficientes a = -24, b = 288, c = -64.

El año en qué se alcanzará el máximo ingreso es el <u>valor de t de el vertice</u>, o sea:

t_V = -\frac{b}{2a} = -\frac{288}{2(-24)} = \frac{288}{48} = 6

El máximo ingreso será alcanzado en 6 años.

El valor del máximo ingreso es el valor de <u>I de el vertice</u>, o sea:

I_v = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}

Entonces:

I_v = -\frac{288^2 - 4(-24)(-64)}{4(-24)} = 800

El máximo ingreso será de 800 miles de soles.

Un problema similar es dado en brainly.com/question/21434178

5 0
2 years ago
Let x represent the measurement of an acute angle in degrees. The ratio of the complement of x to the supplement of c is 2:5. Gu
sergiy2304 [10]

<u>Answer:</u>

The ratio of the complement of x to the supplement of x is 2:5. The value of x is 30

<u>Solution:</u>

It is given that x represents the measurement of an acute angle in degrees.  It is also given that the ratio of the complement of x to the supplement of x is 2:5.  

Since it is given that x is an acute angle it means that it has to be less than 90.

Complement of an angle = 90 - x

Supplement of an angle = 180 - x

In this case it is given that the ratio of the complement of x to the supplement of x is 2:5

So we can write the relation as follows:

\begin{array}{l}{\frac{90-x}{180-x}=\frac{2}{5}} \\\\ {(90-x) \times 5=(180-x) \times 2} \\\\ {450-5 x=360-x) \times 2} \\\\ {450-560=5 x-2 x} \\\\ {90=3 x} \\\\ {x=\frac{90}{3}=30}\end{array}

Therefore the value of x is 30.

3 0
3 years ago
Which step shows the result of applying the subtraction property of equality?
denpristay [2]

Answer:step one

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the diameter?
RoseWind [281]
Diameter = 2* raidus

so, if R= 10 mm 
 
So, D= 20 mm

7 0
3 years ago
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