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:
Liam has 3 whole pizza along with 1/3 of a pizza.
In decimal, Liam has 3.33 of Pizza.
Step-by-step explanation:
Given
Quantity of pizza with Martin = 5/6 of a pizza
Pizza with Liam = 4*Quantity of pizza with Martin
Pizza with Liam = 4*5/6 of a pizza
Pizza with Liam = 10/3 of a pizza = 3 1/3 of pizza.
Thus, Liam has 3 whole pizza along with 1/3 of a pizza.
In decimal Liam has 3.33 of Pizza.
Answer:
y=2x-2
Step-by-step explanation:
Slope intercept form = y=mx+b
Where m=slope and b= y intercept
Reminder: the y intercept is where x=0
Looking at the graph, the y intercept is given as (0,-2)
There are also two points given (0, -2) and (2,2)
Reminder: to find the slope, divide the changes in y by the changes in x or substitute the numbers into this equation: y2-y1/x2-x1
2-(-2)/2-0=4/2
m=2
Now that we have the slope and y intercept, sbstitute into the equation y=mx+b:
y=2x-2
Answer:
30
Step-by-step explanation:
