Calcula 2 números tales que la suma del primero más el triple del segundo sea 85 y la diferencia entre el cuadruple del primero y el doble del segundo sea 102...

Answers

Answer 1
Calcula dos números tales que la suma del primero mas el triple del segundo sea 85 y que la diferencia entre el cuádruple del primero y el doble del segundo sea 102

Sea el primer número = T
Sea el segundo número = U

Las ecuaciones según el enunciado son:
1) T + 3U = 85
2) 4T - 2U = 102

Resolvemos por el MÉTODO DE IGUALACIÓN.
-Despejamos T en las dos ecuaciones.
T + 3U = 85 4T - 2U = 102
T = 85 - 3U 4T = 102 + 2U
T = (85 - 3U)/1 T = (102 + 2U)/4

Igualamos las dos ecuaciones entre sí.
(85 - 3U)/1 = (102 + 2U)/4

Multiplicamos las ecuaciones en cruz.
4 (85 - 3u) = 1 (102 + 2U)
340 - 12U = 102 + 2U
- 12U - 2U = 102 - 340
- 14U = - 238
U = - 238/-14
U = 17

El valor de U lo reemplazamos en uno de los despeje de T para hallar el valor de la misma.
T = (85 - 3U)/1
T = (85 - 3 (17)/1
T = (85 - 51)/1
T = 34/1
T = 34

Rpt. Los números son: 34 y 17



COMPROBAMOS LA SOLUCIÓN.
T + 3U = 85
34 + 3 (17) = 85
34 + 51 = 85
85 = 85



4T - 2U = 102
4 (34) - 2 (17) = 102
136 - 34 = 102
102 = 102

LISTO!

Related Questions

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B) 149°

C) 163°

D) 31°

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Answer:

D

Step-by-step explanation:

those angles are vertical angles so they are congruent.

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Sin(45^degrees)=13/x

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Answer:

x = 18.38

Step-by-step explanation:

sin 45 = 13/x

0.7071 = 13/x

x = 18.38

Directions: (a) Identify the parent function and (b) describe the transformations.

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Parent function: y=2^x
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Answer:

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Step-by-step explanation:

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what is the value of the expression 8-(2 cubed +48) divided by 8

PLEASE NO LINKS
ASAP

Answers

Answer:1.5

Step-by-step explanation:

8-(2^2+48)/8

8-32-6

8-38

-30

---

hope it helps

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11 with Exponent P 4

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14,641 dndhshd jehfbd dhdhdh dhdhdh s

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Answer:

10x+200[tex]\leq[/tex]375

Step-by-step explanation:

subtract 200 from both sides

10x[tex]\leq[/tex]175

divide both sides by 10

x[tex]\leq[/tex]17.5 cars

Jesse must wash atleast 17.5 cars to afford the bike.

8. Subtact (7x – 10) – (-6x – 8).

Answers

Answer:

13x - 2

Step-by-step explanation:

7x - -6x = 7x + 6x = 13x.

-10 - -8 = -10 + 8 = -2

13x - 2

Answer:

13x - 2

Step-by-step explanation:

( 7x - 10 ) - ( -6x - 8 )

First, distribute the minus sign outside of the second parenthesis. Multiply each term within the second parenthesis by the minus sign.

( 7x - 10 ) + ( (-1)(-6x) + (-1)( -8))

Simplify,

( 7x - 10 ) + ( 6x + 8 )

Remove parenthesis,

7x - 10 + 6x + 8

Simplify, combine like terms,

7x - 10 + 6x + 8

13x - 2

Divide 6.1 and 51.24

Answers

Answer:

.119047619

hope this helped

Answer:

8.4

Step-by-step explanation:

51.24 ÷ 6.1 = 8.4

Although, if you were dividing 6.1 by 51.24, you would have a totally different answer, the answer to 6.1 ÷ 51.24 = 0.119047619047619.

Combine the like terms to create an equivalent expression:
-5+(-5r) + 10​

Answers

Answer:

-5r+5

Step-by-step explanation:

-5+(-5r)+10

-5-5r+10

-5r-5+10

-5r+5

Answer:

-5r + 5

1. When there is a + in front of an expression in parenthesses, the expression remains the same.

2. Calcuate the sum

The product of two consecutive negative even integers is 24. Find the largest integer.

Answers

Answer:

-4

Step-by-step explanation:

ok negative times negative = positive

and factors of 24 are

1,2,3,4,6,8,12,24

4 x 6 are the two consecutive EVEN numbers

so turn it to negative

-4 x -6 = 24

The largest is -4

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Answers

Answer:

It looks like the factored form of a polynomial

Step-by-step explanation:

In unfactored form, it would be this:

2r^2 + -2r + 1

(2r-1)(r-1)
=2r(r-1) -1(r-1)
= 2r^2-2r-r+1
=2r^2-3r+1

I need help like I really dont know how to do this i need help fast

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Answer:

44 units² or 44 units squared

There really isn't a preference of units, like inches or meters, so you can add that in.

Step-by-step explanation:

Haha, this is what we're doing in class!

Okay, so the formula for a trapezoid is A= ½ (b1+b2) h

14= b1

8= b2

Add them... You get 22. Multiply that by the height, which is 4. You should get 88. Then divide by 2. You should get 44.

Here's some helpful notes:

I hope this was helpful!

What is the range and domain of this graph?

Answers

Answer:

Range: (-∞,∞)

Domain: (-∞,∞)

Step-by-step explanation:

Remember that if there are arrows that the function continues.

Explain how many cupcakes Jasmine can make if she had 5 1/4 cups of frosting but needs 3/8 cups for each cupcake

Answers

Answer:

jasmine can make 14 cupcakes

Step-by-step explanation:

5 1/4 = 5.25

3/8 = 0.375

5.25/0.375 = 14


can you guys help me with this equation plzzzzzz​

Answers

Answer:

b = 1/3

Step-by-step explanation:

Here, we want to solve for the value of b

From the question, we have that;

4^(3b-3) = 1/16

4^(3b-3) = 16^-1

4^(3b-3) = 4^2(-1)

4^(3b-3) = 4^-2

Since base are equal, equate the powers

3b - 3 = -2

3b = -2 + 3

3b = 1

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Can someone help me on this

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Answer:

the answers are

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9) d. vertices

10) c. opposite angles

11) b. diagonals

12) a. consecutive sides

4 times (12-8) + 2^3. (2 to the 3rd power)

Answers

Answer:

It's 48. Heres why:

Step-by-step explanation:

Our equation, I believe, is 4[(12-8) + 2³]. We can do the operations in the parenthesis:

4[(4)+8] (12-8 = 4, and 2³ is 8). If we add 4 + 8, we get 12. Multiply 12 by 4, we get 48.

Can I get help It’s Worth 58 Points if it’s the right answer I will pin you

Answers

The correct answer is x>0. This is because the circle is on 0, is hollow, and has an arrow that points right.

One repair service company charges $27 for a house call plus
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call plus $13 an hour. After how many hours will the price for
the service call be the same for the two companies?

Answers

Answer:

4

Step-by-step explanation:

27+10(x)

15+13(x)

27+10(4)=67

15+10(4)=67

I NEED TO REPLACE MY CONCRETE IN 7 YEARS. THE TOTAL COST IS $15,000, HOW MUCH DO I NEED TO SAVE ANNUALLY AT 5%.

Answers

9514 1404 393

Answer:

  $1,754.57

Step-by-step explanation:

If you put the amount in savings at the beginning of the year, then the balance after 7 years is ...

  A = P(1 +r)((1 +r)^7 -1)/r . . . . for payment P at annual rate r for 7 years

  15000 = P(1.05)(1.05^7 -1)/0.05 = 8.54911P

Then the amount P that needs to be saved is ...

  15000/8.54911 = P = 1754.57

You need to deposit $1,754.57 at the beginning of each year for 7 years to have a balance of $15,000 at the end of 7 years.

_____

If you wait until the end of the year to deposit the money, the amount will need to be 5% higher: $1,842.30.

How do you solve x²-6x+34=0?

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It would = -100











Hdjdjssjsjsnsndsjskskzndndsjs

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[tex]x = 3\pm 5i[/tex]

Step-by-step explanation:

Quadratic formula

[tex]x = \frac{6 \pm \sqrt{36-4(1)(34)}}{2(1)}[/tex]

There are no real solutions since the discriminant is negative.

Simplify this to get x = 3+5i, 3 -5i

16 What value could you put in place of the x to make it a function? * (8, 7) (7,-6) (-4,5) (x, 9)
a) 8
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Answers

Answer:

(c) 9

Step-by-step explanation:

You can't have a repeated x-value in a function.

8 is taken by (8, 7)

7 is taken by (7,-6)

-4 is taken by (-4, 5)

9 is the only number that is not taken by any other point yet.

Remember that for a relationship to be a function it can't have repeated x-values. However, it doesn't matter to have the same x and y values!

Hope this helped!

If the terminal point of ø is (-1,0), what is tan ø?

Answers

The SOH CAO TOA identity is used to determine the acute angles of a right triangles. The terminal point of ø is (-1,0), what is tan ø is 0


SOH CAH TOA identity

Given the terminal point (-1, 0), the value of tanø is expressed as:

tanø = opposite/adjacent

tanø = y/x

From the coordinate given:

x = -1

y = 0

Substitute

tanø = 0/-1
tanø  = 0

Hence the terminal point of ø is (-1,0), what is tan ø is 0

Learn more on terminal point here: https://brainly.com/question/1621860

#SPJ2


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Answer:

the answer is :)

Step-by-step explanation:

Answer:

D because the triangle has to be congruent

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Answer:

angle 3 and angle 5

angle 2 and angle 8

the answer to the question above accurate please

Answers

Answer:

x = 132 degrees

Step-by-step explanation:

To help explain, lets add some letters to designate those line intersections.

Starting at x, label that intersection O, then go up-right to that intersection and label that P, then go down-right to that intersection and label that Q, then go up-right and name that R, then go down-right and label that S, finally go right to that intersection and label that T.

Angle TRS = 12 degrees because  isosceles triangle so TRS = a = 12 degrees.

Angle RST = 180-12-12 = 156 degrees.

Angle QSR is supplementary to RST so it is 24 degrees.

Angle RQS = 24 degrees because isosceles.

Angle QRS = 180-24-24 = 132 degrees.

Angle PRQ = 180-12-132 = 36 degrees.

Angle PRQ = 36 degrees because isosceles.

Angle PQR = 180-36-36 = 108 degrees.

Angle PQO = 180-24-108 = 48 degrees.

Angle POQ = 48 degrees because isosceles.

Angle x = 180 -48 = 132 degrees because it is supplementary.

como puedo calcular el 30% de 500​

Answers

Step-by-step explanation:

número 500? Cálculos y verificación detallados. Introducción: 'Porcentaje (%)' significa 'de cien': ¿Cómo verificamos el resultado? Si 30% × 500 = 150 => Divida 150 entre 500 ... Nota: 100/100 = 100 ÷ 100 = 100% = 1. Calcule el valor porcentual: 150

An Isoceles Triangle has base 6cm long and the opposite angle to the base is 50 degrees l. What is the size of the other angle?

Answers

Answer:

65°

Step-by-step explanation:

From the question,

The base angle of an isoceles triangle are equal.

Let the value of the base angles = x°

Sum of angle in a triangle = 180°

⇒ x°+x°+50° = 180°

⇒ 2x°+50° = 180°

⇒ 2x° = 180°-50°

⇒ 2x° = 130°

⇒ 2x°/2 = 130/2

⇒ x° = 65°.

Hence, the size of the other angles is 65°

NEED HELP QUICK!!
Determine how much you would recieve in return for a 8 month, $500 loan to a friend if you charged the 3% annual interest. Show your work.

Answers

Answer: See explanation

Step-by-step explanation:

We are going to solve this by using the Simple interest formula which is:

= Principal × Rate × Time

= 500 × 3% × 8/12

= 500 × 0.03 × 2/3

= 10

Therefore, the interest will be $10 ane the total amount that'll be paid back will be:= $500 + $10 = $510

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