Answer:
A two-digit number can be written as:
a*10 + b*1
Where a and b are single-digit numbers, and a ≠ 0.
We know that:
"The sum of a two-digit number and the number obtained by interchanging the digits is 132."
then:
a*10 + b*1 + (b*10 + a*1) = 132
And we also know that the digits differ by 2.
then:
a = b + 2
or
a = b - 2
So let's solve this:
We start with the equation:
a*10 + b*1 + (b*10 + a*1) = 132
(a*10 + a) + (b*10 + b) = 132
a*11 + b*11 = 132
(a + b)*11 = 132
(a + b) = 132/11 = 12
Then:
a + b = 12
And remember that:
a = b + 2
or
a = b - 2
Then if we select the first one, we get:
a + b = 12
(b + 2) + b = 12
2*b + 2 = 12
2*b = 12 -2 = 10
b = 10/2 = 5
b = 5
then a = b + 2= 5 + 2 = 7
The number is 75.
And if we selected:
a = b - 2, we would get the number 57.
Both are valid solutions because we are changing the order of the digits, so is the same:
75 + 57
than
57 + 75.
Answer:
45 hours a week
Step-by-step explanation:
Ok, so we know that he worked 675 hours in 15 weeks.
So all we need to do is divide the hours by the amount of weeks, which is 15:
675/15= 45
So he worked 45 hours a week!
Answer: 3 quarts
using the information 1 cup = 0.25 quarts, we can use dimensional analysis or a conversion factor to find the number of quarts in 12 cups.
start by expressing x as your unknown value being the number of quarts
there are 3 quarts in 12 cups
Step-by-step explanation:
Answer:
Paula get 
and Kawai get 
.
Step-by-step explanation:
Given: Paula and Kawai shared 
in the ratio of 
.
To find: How much money did each person get?
Solution:
We have,
Paula and Kawai shared in the ratio of .
So, let Paula get 
and Kawai get 
.
As per the question,
Therefore, Paula get 
, and Kawai get 
.
Hence, Paula get and Kawai get .
Answer:10 m
Step-by-step explanation:
Given
Scaling ratio 1:1000
i.e. one unit in map is equal to 1000 unit in actual distance
therefore if the distance between two points is 1 cm in map then
it is 1000 cm in reality
