Answer:
see below
Step-by-step explanation:
27.
We can use ratios to solve
152 dollars 532 dollars
---------------- = ----------------
4 days x days
Using cross products
152x = 4*532
152x =2128
Divide each side by 152
152x/152 = 2128/152
x =14
14 days
29.
1 inch 2/3 inches
------------ = ----------------
6.5 ft x ft
Using cross products
1x = 2/3 * 6.5
x = 4.333333
c = 4 1/3 ft
Unit rates is the rate of a quantity in comparison to 1 i.e. unit.
Based on the given parameters, Shanya is the fastest typist
From the question, the unit rates are given as:
- James: 0.5 words per second
- Shanya = 3 words per seconds
The unit rates of Tristan and Ebony are not given.
So, we compare the rates of James and Shanya
3 words in a second is greater than 0.5 words in a second.
Hence, Shanya is the fastest typist
Read more about unit rates at:
brainly.com/question/11848573
The two numbers are 14 and 15.
The explicit formula for arithmetic sequence is:
an=a+(n-1)d
where:
a=first term
d=common difference
given:
a3=22
a(17)=-20
substituting this in our equation we get:
22=a+(3-1)d
22=a+2d
a=22-2d........i
also:
-20=a+(17-1)d
-20=a+16d.....ii
but substituting i in ii we get:
-20=22-2d+16d
-20-22=14d
-42=14d
d=-3
but:
a=22-2d
a=22-2(-3)
a=28
thus the formula will be:
an=28-3(n-1)
thus the first term will be 28
the 2nd term will be:
a2=28-3(2-1)
a2=25
the 3rd term will be:
a3=28-3(3-1)
a3=28-6
a3=22
a4=28-3(4-1)
a4=28-9
a4=15
a5=28-3(5-1)
a5=28-3(4)
a5=28-12
a5=15
