Tony buys 420 candy bars, if he eats 351 bars, how much candy bars would Tony have left?

Answer:

15 DEGREES

Step-by-step explanation:

OK SO BASICALLY,  USING THE EXTERIOR ANGLES THEOREM, YOU FIND THAT 9x = 5x + something. That something is 4x so:

9x = 5x + 4x

THEN YOU FIND THAT 8x = 5x + something. That something is 3x so:

8x = 5x + 3x

4x and 3x and 5x are the interior angles of the triangle (ABC)

Then you use triangle theorem and get 4x + 3x + 5x = 180

Then: 12x = 180 and so you get x = 15

Answer:

1) 135 y 137, 2) 13 y 15, 3) El lado del cuadrado es de 14 unidades, 4) Se necesita 350 metros de valla, 5) El niño tiene 6 años de edad.

Step-by-step explanation:

1) El conjunto de los números naturales comprende al subconjunto de los números reales que son enteros y positivos. El enunciado se puede traducir con la siguiente expresión numérica:

[tex]x + (x+n) = 272[/tex]

Donde [tex]x[/tex] y [tex]n[/tex] son números naturales. Se despeja [tex]x[/tex]:

i) [tex]2\cdot x + n = 272[/tex] Propiedad asociativa/Definición de adición

ii) [tex]2\cdot x = 272-n[/tex] Compatibilidad con la adición/Existencia del inverso aditivo/Propiedad modulativa/Definición de sustracción

iii) [tex]x = \frac{272-n}{2}[/tex] Compatibilidad con la multiplicación/Existencia del inverso multiplicativo/Propiedad modulativa/Definición de división

iv) [tex]x = \frac{272}{2}-\frac{n}{2}[/tex]  [tex]\frac{x+y}{z} = \frac{x}{z} + \frac{y}{z}[/tex]

v) [tex]x = 136 - \frac{n}{2}[/tex] Definición de división/Resultado

Puesto que [tex]x[/tex] y [tex]n[/tex] son números naturales, [tex]\frac{n}{2}[/tex] también debe ser entero y para garantizar la consecución entre los números, [tex]n[/tex] debe ser el elemento natural más pequeño posible. El número natural más pequeño es 1, por tanto, el valor mínimo de [tex]n[/tex] es 2. En consecuencia, el valor de [tex]x[/tex] es:

[tex]x = 136-\frac{2}{2}[/tex]

[tex]x = 136-1[/tex]

[tex]x = 135[/tex]

Los dos números naturales consecutivos son 135 y 137.

2) El enunciado se puede traducir en las siguientes dos ecuaciones matemáticas:

[tex]x+y = 28[/tex]

[tex]x^{2}-y^{2} = 56[/tex]

Se despeja una de las variables de la primera ecuación y se elimina la variable correspondiente en la segunda ecuación:

[tex]x = 28-y[/tex]

[tex](28-y)^{2}-y^{2} = 56[/tex]

Se expande la ecuación resultante por álgebra de reales:

[tex]784-56\cdot y +y^{2}-y^{2} = 56[/tex]

[tex]784-56\cdot y = 56[/tex]

[tex]56\cdot y = 784-56[/tex]

[tex]56\cdot y = 728[/tex]

[tex]y = 13[/tex]

Finalmente, se halla el valor de la variable restante:

[tex]x = 28-13[/tex]

[tex]x = 15[/tex]

Los dos números naturales son 13 y 15.

3) Las fórmulas para el área ([tex]A[/tex]) y el perímetro del cuadrado ([tex]p[/tex]) son, respectivamente:

[tex]A = l^{2}[/tex]

[tex]p = 4\cdot l[/tex]

Donde [tex]l[/tex] es la longitud del lado del cuadrado.

De acuerdo con el enunciado, existe la siguiente condición:

[tex]A + p = 252[/tex]

[tex]l^{2}+4\cdot l = 252[/tex]

[tex]l^{2}+4\cdot l -252 = 0[/tex]

La ecuación resultante es un polinomio de segundo orden, cuyas raíces se obtienen por la Fórmula Cuadrática:

[tex]l_{1} = 14[/tex] y [tex]l_{2} = -18[/tex]

La primera raíz es la única solución razonable para la condición dada.

El lado del cuadrado es de 14 unidades.

4) Dado que la finca tiene una área rectangular y que se conoce la medida de la diagonal así como la diferencia entre el largo y el ancho, se puede determinar las variables restantes a partir del Teorema de Pitágoras:

[tex]d^{2} = l^{2}+w^{2}[/tex]

Donde:

[tex]d[/tex] - Diagonal, medida en metros.

[tex]l[/tex] - Largo, medido en metros.

[tex]w[/tex] - Ancho, medido en metros.

Además, las relaciones son las siguientes:

[tex]l = w + 25\,m[/tex]

[tex]d = 125\,m[/tex]

Se desarrolla y simplifica la identidad pitagórica hasta obtenerse un polinomio de segundo orden:

[tex]125^{2} = (w+25)^{2}+w^{2}[/tex]

[tex]2\cdot w^{2}+50\cdot w -15000 = 0[/tex]

Las raíces del polinomio se hallan con ayuda de la Fórmula Cuadrática:

[tex]w_{1} = 75[/tex] y [tex]w_{2} = -100[/tex]

Solo la primera raíz ofrece una solución razonable, el ancho del rectángulo es de 75 metros. Por último, se halla el largo de la figura:

[tex]l = 75\,m+25\,m[/tex]

[tex]l = 100\,m[/tex]

El largo del rectángulo es de 100 metros.

El perímetro del rectángulo ([tex]p[/tex]), medido en metros, es calculado por la siguiente fórmula:

[tex]p = 2\cdot (w+l)[/tex]

[tex]p = 2\cdot (75\,m+100\,m)[/tex]

[tex]p = 350\,m[/tex]

Se necesita 350 metros de valla.

5) Sea [tex]x[/tex] la edad actual del niño y [tex]l[/tex] el lado del cuadrado. Entonces:

[tex]x + 3 = l^{2}[/tex]

[tex]x -3 = l[/tex]

Se reemplaza el lado del cuadrado en la primera ecuación con ayuda de la segunda ecuación:

[tex]x+3 = (x-3)^{2}[/tex]

[tex]x +3 = x^{2}-6\cdot x + 9[/tex]

[tex]x^{2}-7\cdot x+6 = 0[/tex]

Las raíces se obtienen por factorización:

[tex](x-6)\cdot (x-1) = 0[/tex]

[tex]x = 6 \,\wedge \,x = 1[/tex]

Ambas raíces son parecen razonables, se comprueba cada una para ver si satisfacen las condiciones del enunciado:

x = 1

[tex]1+3 = l^{2}[/tex]

[tex]4 = l^{2}[/tex]

[tex]1-3 = l[/tex]

[tex]-2 = l[/tex]

Si bien está matemáticamente bien, no lo es en lo que respecta a edad.

x = 6

[tex]6+3 = l^{2}[/tex]

[tex]9 = l^{2}[/tex]

[tex]6-3 = l[/tex]

[tex]3 = l[/tex]

Esta solución es correcto en cuanto a matemática y edad.

El niño tiene 6 años de edad.

Answer:7³=343

343 × M = 343m

Step-by-step explanation:

7×7×7=343

Answer:

it should be true well it has to be

Answer:

number=5

Step-by-step explanation:

35/7=5

quotient is the answer to a division problem

Steps to solve:

35/n = 7

~Multiply 1/35 to both sides

35/n * 1/35 = 7 * 1/35

~Simplify

n = 5

Best of Luck!

Answer:

I believe it's positive 2

Answer:

-2 is the answer

Step-by-step explanation:

mark as me brainlist

Answer:

2376

Step-by-step explanation:

given 135MPH

convert it inches per second

as 1MPH=7.6 inches per second

so

135×7.6

2376 inches per second

Answer:

LOL, its Shuhuai from Accelerated Science. I just finished the question and copy and pasted it to check it. I'm like, nobody is going to answer this because my teacher just made it up. And I see the top result is your comment,  but hey at least I got the question correct. But yeah, i just thought it was a bit coincidental lol.

Step-by-step explanation:

Answer:

9.5

Step-by-step explanation:

13-x-x=-6

13+6=2x

19=2x

9.5=x

Answer:9

Step-by-step explanation:

13 - 9 - 9

Answer:

67

Step-by-step explanation:

you need to get 180 degrees, so 67 plus the 113 should get your answer

Answer:

64

Step-by-step explanation:

7 + 22 × 4 - 31 = 64

How the answer is 64:

Use BODMAS (Bracket, Of, Division, Multiplication, Addition, Subtraction) for order of operation.

22 × 4 is first which is equal to 88

7 + 88 is next which is 95

95 - 31 is last which is 64.

The answer is 64, not 85.

Answer:

5/6 and 75 1/3%

Step-by-step explanation:

8 1/3 = 25/3

25/3 pages of a book in 10 minutes

Multiply both numbers by the reciprocal of 10, which is 1/10

25/3 x 1/10 = 25/30 = 5/6

So, Charlotte reads 5/6 pages of a book in 1 minute.

Which is equal to 75 1/3%

hope this helps! :)

Answer: 37/40

Step-by-step explanation:

divide 185 by 5 and same with 200 so your answer is 37/40

please mark me brainliest :)

Answer:

XZ=19

Step-by-step explanation:

the total length of the segment is 37, and half of the segment is 18, so to find the other half of the segment, you would subtract the half from the total amount: 37-18=19

hope this helps

Answer:

1,006

Step-by-step explanation:

Answer:

1006

Step-by-step explanation:

_plexstyx

Answer:

x=4

Step-by-step explanation:

move the variable to the left side and change its sign

20x-5x=65-5

collect like terms

15x=65-5

15x=60 divide both side by 15

x=4

Step-by-step explanation:

I would say a speed/time line graph because those types of graphs are usually used for these scenarios in Physics problems.

Hope this helped!

Answer:

95°

Step-by-step explanation:

Here we have angles of 30° and 55°, so the remaining angle is:

Answer:

33/25 should be the answer

Step-by-step explanation:

Answer:

Hope this is helpful for you

Step-by-step explanation:

Let us take ratio constant as 'x'

Therefore ratio of angles

3x:5x:9x:13x

Sum of interior angles of quadrilateral is 360 degree.

3x+5x+9x+13x=sum of interior angles of quadrilateral

=>3x+5x+9x+13x=360

=>30x=360

=>x=12

Answer:  y=-7x + 37

Step-by-step explanation:

Parallel lines will have the same slope but different y-intercepts  so again we can  use the coordinates to determine the y intercept of the new equation.

So we know that the slope intercept formula is y=mx + b where m is the slope and b is the y-intercept so we will input the x and y coordinates to solve for b.

9 = -7(4) + b

9 = -28 + b

+28  +28

b = 37  

The equation will be y= -7x + 37

The equation of line passes through the point (4, 9) will be;

⇒ y = - 7x + 37

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point on the line are (4, 9).

And, The parallel line is,

⇒ y = - 7x - 9

Now,

Since, The equation of line passes through the point (4, 9).

So, We need to find the slope of the line.

Since, The slope of the parallel line is same.

Hence, Slope of the line is,

y = - 7x - 9

m = dy/dx = - 7

m = - 7

Thus, The equation of line with slope - 7 is,

⇒ y - 9 = -7 (x - 4)

⇒ y - 9 = - 7x + 28

⇒ y = - 7x + 28 + 9

⇒ y = - 7x + 37

Therefore, The equation of line passes through the point (4, 9) is,

⇒ y = - 7x + 37

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ2

Answer:

4

Step-by-step explanation:

Answer:

7/4 or 1.75 or 1 3/4

Step-by-step explanation:

try to use a scientific calculator and then that will be your answer that I came up with.

Answer:

The time it will take to get to the bowling alley while driving at 65 mph on the freeway is approximately 20.8 minutes

Step-by-step explanation:

The given parameters are;

The time it takes through the streets to drive to the nearest bowling alley = 45 minutes

The speed of driving through the streets = 30 miles per hour (mph)

The speed of driving through the freeway to the bowling alley = 65 mph

From the speed of driving through the streets and the time taken we have;

The formula for speed, S, is S = Distance/Time

Therefore, 30 mph = Distance/45 minutes

Where, 1 hour = 60 minutes, 45 minutes = 1/60×45 hour = 3/4 hour

30 mph = Distance/45 minutes = Distance/(3/4 hour)

30 mph = Distance/(3/4 hour)

Distance = 30 mph × 3/4 hour = 22.5 miles

Given that the distance through the freeway and through the streets are the same, we have from speed = Distance/Time;

Time = Distance/Speed

The speed through the freeway = 65 mph while the distance remain 22.5 miles

Therefore;

Time = 22.5 miles/(65 mph) ≈ 0.346 hour ≈ 20.8 minutes

The time it will take to get to the bowling alley while driving at 65 mph on the freeway is approximately 20.8 minutes.

Answer : The price per ounce of funyuns is $0.356.

Step-by-step explanation :

As we are given that the price of 7 ounce bag of funyuns is $2.49.

Now we have to determine the price per ounce.

According to the question,

As, 7 ounce bag of funyuns = $2.49

So, 1 ounce bag of funyuns = [tex]\frac{1\text{ ounce}}{7\text{ ounce}}\times \$ 2.49[/tex]

                                             = $0.356

Therefore, the price per ounce of funyuns is $0.356.

Answer:

Step-by-step explanation:

Part A;

[tex]\frac{3.9\times10^3^3}{1} = \frac{x}{1.44\times 10^7} \\Cross\Multiply\\x = 3.9\times 10^3^3 \times 1.44 times 10^7\\\\x = 6.045\times 10^4^0[/tex]

Part B ;

[tex]1.435 \times 10^3 \:mm = 1.4\m\\1.435 \times 10^-^3\: mm = 0.001435\m[/tex]

The more reasonable one is 1.4m .0.001435 is too small(its not even up to 1)

Answer:

1.2675 × 10^37. 

Step-by-step explanation:

you would have to multiply 3.9 x 3.25= 12. 675 and it is not in scientific notation so you would do 1.2675 x 10^37

Hope it helps!

Answer: The next two terms are 33 and 39

Step-by-step explanation:

9,15,21,27    

First determine how you get from one value to the other.

To get from 9 to 15 you add 6.

To get from 15 to 21 you add 6 to 15.

And to get from 21 to 27 you add 6 to 21  

So to get to the next term add 6 and another 6 to the value you get.

27 + 6 = 33

33 + 6 = 39

Answer:

y=3/4x+45

Step-by-step explanation:

Answer:

the equation is 1/3x + 2