It will take the first car 5.5 hours to catch up to the second car.
Step-by-step explanation:
Speed of second car = 55 miles per hour
As the car has started one hour before; it has already traveled
Distance = Speed * Time
Distance = 55*1 = 55 miles
Let,
x be the number of hours.
Distance covered in x hours = 55x
S(x) = 55x+55
Speed of first car = 65 miles per hour
Distance covered in x hours = 65x
F(x) = 65x
For catching up;
F(x) = S(x)
Dividing both sides by 10
It will take the first car 5.5 hours to catch up to the second car.
Keywords: speed, distance
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Answer:
First number is 6
Second number is 2
Step-by-step explanation:
The trick is that we need to set up two equations. Nor simplicity's sake I'm going to say the first number is x and the second number is y.
First we know that the first number (x) is 4 less than the second number (y).
Less means subtraction.
x-4=y
Then we know that 4 times x is 14 more than 5 times the second. More is addition and times is multiplication.
4x=14+5y
Now we use substitution to find out what x (the first number) is, subbing x-4 in for y.
4x=14+5(x-4)
4x=14+5x-20
-x=-6
x=6
First number is 6
Lastly, we sub 6 back into one of the equations. It's easier to us the first equation.
x-4=y
6-4=y
2=y
The second number is 2
Answer:
The area of the rectangle is 15y^6 -40y^5 + 10y^4
Step-by-step explanation:
In this question, given the width and length of a rectangle in polynomial form, we are asked to express the area of the rectangle in terms of the polynomials.
Generally, the area of a rectangle A is mathematically equal to Length * width
Using the terms in the question, our area A = 5y^3 [3y^3 -8y^2 +2y]
Opening this bracket we have;
15y^6 -40y^5 + 10y^4