The answer is 3/4. All you need to do is make proportion and simplify! Hope it helps!
Answer:
Cesar goes 1 2\3 miles in an hour
Bella goes 1 1\3 miles in an hour
Cesar is hiking faster
Step-by-step explanation:
Cesar: you half 3 1\3 because you need to half the time of 2 hours to determine how far he goes in an hour. 3 1\3 halved is 1 2\3
Bella: You must multiply 1\3 4 times in order to get the 1\4 hour to a whole hour. 1\3 4 times is 1 1\3.
Speed: Cesar goes 1 2\3 mph while Bella goes only 1 1\3 therefore Cesar is going faster
Answer: a) An = An-1 + An-2
b) 55ways
Step-by-step explanation:
a) a nickel is 5 cents and a dime is 10cent so a multiple of 5 cents is the possible way to pay the tolls in both choices.
Let An represents the number of possible ways the driver can pay a toll of 5n cents, so that
An = 5n cents
Case 1: Using a nickel for payment which is 5 cents, the number of ways given as;
An-1 = 5( n-1)
Case 2: using a dime which is two 5 cents, the number of ways is given as;
An-2 = 5(n-2)
Summing up the number of ways, we have
An = An-1 + An-2
From the relation,
If n= 0, Ao= 1
n =1, A1= 1
b) 45 cents paid in multiples of 5cents will give us 9 ways(A9)
From the relation, we have that
Ao = 1
A1 = 1
An =An-1 + An-2
Ao = 1
A1 = 1
A2 = A1+Ao = 1+1= 2
A3 = A2 + A1 = 3
A4 = A3+A2=5
A5=A4+A3=8
A6=A5+A4=13
A7 =A6+A5 = 21
A8= A7+A6= 34
A9= A8+A7= 55
So there are 55ways to pay 45cents.
Answer:
x= -2
x= -3
Step-by-step explanation:
Answer:
The Temperature in the afternoon was 
.
Step-by-step explanation:
Given:
Temperature in the morning = 
Rise in temperature = 
We need to find the temperature in the afternoon.
Solution:
Now we know that;
temperature in the afternoon is equal to Temperature in the morning plus Rise in temperature in afternoon.
framing in equation form we get;
temperature in the afternoon = 
Hence the Temperature in the afternoon was .
