Answer:

Step-by-step explanation:
Remember that

we have

In this problem
b represent the 100%
so
using proportion
Find out what percent of b represent a
Let
x -----> the percentage of b

Convert to mixed number

Answer:
2. (-2)(4)
Step-by-step explanation:
A) Lets write our equations.
22x + 100 = 25x + 70
Now lets solve step-by-step.
Apply the inverse operation 22x + 100 = 25x + 70
-22x -22x
25x - 22x = 3x
3x + 70 = 100
-70 - 70 We subtract 70 from both sides because (inverse operation)
3x = 30
3x/3 = 30/3
x = 30/3
x= 10
B) We need to find which one is the most cheap.
Lets pick an integer to replace x.
22x + 100 = 25x + 70
Lets choose '2'
22(2) + 100 = 25(2) + 70
44 + 100
50 + 70
144
120
The first one : Country Carpets charges $144 , while at the same rate, City carpets charges 120.
So, obviously, City Carpets is cheaper than that other one, so he would most likely choose that one.
1. 402,510 mm
2. 231,485.37529412 lbs
3.?
Let the second car meets the first car after n hours.
Second car starts with 8km/h, After succeeding hours his speed increases by 0.5 km.
So, Distance travelled by second car = 8 + 8.5 + 9
..... 8+(n-1) 0.5.....(1)
eqn. (1) sum of n terms Of A.P with first term 8
and common difference 0.5.
Sum of all the terms in equation 1 is also equals to the distance travelled by the first car for n hours, i.e. 10n km .
Now, we have (n/2) {16+(n-1) 0.5} = 10n........(2)
From equation (2) we get, n= 9
Hence, Both the cars will meet after 9 hours.
Hope it helps!