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9966 [12]
3 years ago
8

Suppose a horse is galloping at 19 mph toward a clown, and the clown is racing toward the horse on an ATV which can sustain a sp

eed of 15mph. They are 50 miles apart from one another and start at the exact same moment in time. How much time will it take for the horse and clown to collide?
Mathematics
1 answer:
egoroff_w [7]3 years ago
7 0

Answer:

It will take 1.47 hours for the horse and clown to collide

Step-by-step explanation:

They are driving toward each other, in opposite directions.

So to find their speed of approximation, we add their speeds.

19 mph + 15 mph = 34 mph.

This means that each hour, they are 34 miles closer.

How long it takes for them to find each other if they are 50 miles apart?

1 hour - 34 miles

x hours - 50 miles

34x = 50

x = \frac{50}{34}

x = 1.47

It will take 1.47 hours for the horse and clown to collide

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se necesita llenar un galon de agua,en 2 litros se tarda 30 minutos.cuantos litros me hacen falta para completar el galon y cual
mariarad [96]

Answer: 1.78 L are needed to complete the gallon and it will take 29.66 min to completely fill it

Step-by-step explanation:

The question in english is:

A gallon of water needs to be filled, in 2 liters it takes 30 minutes. How many liters do I need to complete the gallon and what is the time it takes me to fill it?

We know 1 gallon is equal to 3.78 liters:

1 gal=3.78 L

In addition, we are told you have filled the gallon with 2 L at a rate of \frac{2 L}{30 min}=0.06 L/min.

So, if we want to know how many liters are left to completely fill the gallon, we have to sbstract the 2 L to the total amount of a gallon:

3.78 L-2 L=1.78 L This is the amount you need to complete the gallon

On the other hand, the rate is defined as:

rate=\frac{Liters}{time}

Isolating time:

time=\frac{Liters}{rate}

Then, if we input the 1.78 L we need to fill the gallon we will have the time:

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6 0
3 years ago
F(X)= 2x^2 +1. Find and simplify af(X)+b and f(ax+b)
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Hello,

f(x)=2x²+1
f(ax+b)=2(ax+b)²+1=2(a²x²+2abx+b²)+1=2a²x²+4abx+2b²+1

af(x)+b=a(2x²+1)+b=2ax²+a+b

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Step-by-step explanation:

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