Answer:
16 mph
Step-by-step explanation:
Givens:
4 hours total time
48 miles total distance
So our equation should look like this.
48 = 2x(2) + x(2)
Where x = speed second half of trip.
x = 8
x*2 = 16 mph
Using a system of equations, it is found that a value of h = 4 will result in an infinite number of solutions.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
If two equations are equal, the system has infinite solutions.
In this problem, the equations are:
4x - 16 = h(x - 4).
Then:
4(x - 4) = h(x - 4).
h = 4.
More can be learned about a system of equations at brainly.com/question/24342899
#SPJ1
Answer: X=1.5
Step-by-step explanation:
Solution
Perimeter= 2(l+w)
25= 2( 3x+4 +2x+1)
25= 2(3x+2x+4+1)
25= 2(5x+5)
25= 10x+10
Now subtract 10 on both sides..
25-10= 10x+10-10
15=10x
Now divide 10 on both sides to get x
15/10= 10x/10
1.5=X
Answer
Answer: 45ft.
Step-by-step explanation:
Let assigned the value of x to the unknown lenght.
Therefore, the Length = xft
The with is 1/3 of the length and this. = 15ft.
Now , to get the length, we equate both together and then solve for x .
1/3 of x = 15
x/3 = 15
To get x, we multiply both side by 3
x = 45ft
The of the pool = 45ft.
2 Letters chosen among 6 with no repeat:
a) the first has 6 ways
the second has 5 ways
Then to choose 2 letters among 6, with no repeat, there are 6x5 = 30 ways
b) 3 numbers are taken from the digits 0 through 9 with repeats (total = 10)
the first has 10 ways
the second has 10 ways
the third has 10 ways
Then to choose 3 numbers among 10, with repeat, there are 10x10x10= 1000 ways
And the total serial numbers that can be generated is
30 x 1000 = 3000
