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Aneli [31]
3 years ago
10

Raphael is traveling in a straight line at a constant speed from point A to point B. His distance from point B in miles is-20t+

45, where tis number of hours he has been traveling. What is his speed in miles per hour?
Mathematics
1 answer:
Afina-wow [57]3 years ago
5 0

Answer:

Speed  = 20 mi/h

Explanation:

There are two points A and B

Distance between both the points are define with function -20t + 45 miles

where t represent the number of hours of travelling.

Now firstly we find the initial position. At starting time is 0, so we put t=0 in given function of t.

At t=0;

d₀ = -20(0) + 45 = 0 + 45 = 45 miles

Now we find the distance travell after starting first hour.

Than we put t = 1 in the given function

At t = 1;

d₁ = -20(1) + 45 = -20 + 45 = 25 miles

Difference between d₁ & d₀ is

45 - 25 = 20 miles

We see that in one hour, total distace is covered 20 miles

Now we use time, speed, distance relation

Speed = \frac{distance}{time}

S = \frac{20}{1}

S = 20 miles/hour

That's the final answer.

I hope it will help you.

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¿cuanto pesa cada uno de nuestros 3 personajes?
sergij07 [2.7K]

Resolviendo el sistema de ecuaciones veremos que:

  • niña = 23kg
  • niño = 28kg
  • perro = 18kg.

<h3>¿Como resolver el sistema de ecuaciones?</h3>

Aqui tenemos el sistema de ecuaciones:

Niña + niño = 51kg

Niño + perro = 46 kg

Niña + perro = 41kg

Para resolver esto, lo primero que debemos hacer es aislar una variable en una de las ecuaciones, por ejemplo, podriamos aislar "perro" en la tercera:

perro = 41kg - niña

Ahora reemplazamos eso en la segunda para obtener:

niño + (41kg - niña) = 46kg

niño - niña = 46kg - 41kg = 5kg

niño = niña + 5kg

Ahora logramos obtener la variable "niño" en terminos de la variable "niña". Podemos reemplazar esto en la primera ecuacion del sistema.

niña + niño = 51kg

niña + (niña + 5kg) = 51kg

2*niña = 51kg - 5kg = 46kg

niña = 46kg/2 = 23kg.

Ahora que sabemos esto, usamos las otras ecuaciones para encontrar el peso del niño y el perro:

niño = niña + 5kg = 23kg + 5kg = 28kg

perro = 41kg - niña = 41kg - 23kg = 18kg.

Sí quieres aprender más sobre sistemas de ecuaciones, puedes leer:

brainly.com/question/17174746

6 0
2 years ago
Help!!! One no choices math question! What is the perimeter of the figure shown on the coordinate plane?
alekssr [168]
8+8+10+2+2+(8-2)=36
The perimeter is 36ft
5 0
3 years ago
one interior angle of a polygon is equal to 800 and each of the other interior angles are 128 degrees. Find the number of sides
KiRa [710]

Answer:

6

Step-by-step explanation:

Given information:

Interior angle of a polygon cannot be more that 180°.

One interior angle = 80^{\circ}

Other interior angles are  = 128^{\circ}

Let n be the number of sides of the polygon.​

Sum of interior angles is

Sum=80+128(n-1)

Sum=80+128n-128

Combine like terms.

Sum=128n-48           .... (1)

If a polygon have n sides then the sum of interior angles is

Sum=(n-2)180

Sum=180n-360           .... (2)

Equating (1) and (2) we get

180n-360=128n-48

Isolate variable terms.

180n-128n=360-48

52n=312

Divide both sides by 52.

n=\frac{312}{52}

n=6

Therefore the number of sides of the polygon is 6.

8 0
3 years ago
Which pair of parenthesis can be removed without changing the value of the expression?
zepelin [54]
C is the correct answer as it's multiplication, meaning it would be done first anyway.
7 0
3 years ago
Can someone tell me the answer step by step about the surface area please I really need help
solmaris [256]
What you have to do is find the sume of all of the areas of the rectangles in this rectangular prism.

Lets find the front and back first.

9in * 14in = 126 in^2
9in * 14in = 126 in^2
                =  252 in^2

Now for the top and bottom.

3in * 14in = 42 in^2
3in * 14in = 42 in^2
                = 84 in^2

And now for the left and right
9in * 3in = 27 in^2
9in * 3in = 27 in^2
              = 54 in^2

Finally we can add them all together!
252 in^2 + 84 in^2 + 54 in^2= 390 in squared.
5 0
3 years ago
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