30. find the unit rate of 183 miles in 3 hours
IF you want me to show the unit rate in miles per hour here is the method to do that:
=> 183 miles / 3 hours = 61 miles per hour.
Thus the unit rate is 61 miles per hour or 61 miles /h
Now, if you want to see the unit rate in miles per minute then here is the method to do that:
=> 1 hour = 60 minutes
=> 3 hours = 180 minutes
=> 183 miles / 180 minutes = 1.02 miles per minute
ANSWER: $ 912 .
________________________________
Explanation:
_______________________________
75x + 12 = ?
_____________________
Substitute "12" for "x" ; to solve:
______________________________
75*(12) + 12 = 912 .
______________________________
Answer: $912.
______________________________
Answer:
<em>[22,42]</em>
Step-by-step explanation:
<u>Division
</u>
We must find an interval for the number of visits Casey needs to make to her parents to earn the gold status. The lower limit for that status is 16500 miles.
Each round trip flight Casey takes to visit her parents is 750 miles long. To know the minimum number of visits needed, we divide 16500 / 750= 22. To know the maximum number of visits, we divide 31500 / 750 = 42.
Thus, to earn the gold status at awesome airlines, Casey must go between 22 and 42 times to visit her parents. Expressing in interval notation: [22,42]
Answer:
<h3>1</h3>
Step-by-step explanation:
The nth term of an exponential sequence is expressed as ar^n-1
The nth term of a linear sequence is expressed as Tn = a + (n-1)d
a is the first term
r is the common ratio
d is the common difference
n is the number of terms
Let the three consecutive terms of an exponential sequence be a/r, a and ar
second term of a linear sequence = a +d
third term of a linear sequence = a + 2d
sixth term of a linear sequence = a + 5d
Now if the three consecutive terms of an exponential sequence are the second third and sixth terms of a linear sequence, this is expressed as;
a/r = a + d ..... 1
a = a + 2d ..... 2
ar = a+ 5d .... 3
From 2: a = a + 2d
a-a= 2d
0 = 2d
d = 0/2
d = 0
Substitute d = 0 into equation 1:
From 1: a/r = a + d
a/r = a+0
a/r = a
Cross multiply
a = ar
a/a = r
1 = r
Rearrange
r = 1
<em>Hence the common ratio of the exponential sequence is 1</em>
Let, the width = x
Length = x + 1
It is given that, 18 = 2(x+1+x)
18 = 2(2x+1)
18 = 4x + 2
4x = 18 - 2
x = 16 / 4
x = 4
& x+1 = 5
In short, Your dimensions would be: 5 × 4 Feet
Hope this helps!
