Answer:
Original number 26.
Step-by-step explanation:
xy - two-digit number
1) x + y = 8
2) Original two-digit number can be written as
10*x + y
3) If the digits interchanged yx,
then the new number can be written as
10*y + x
4) Double the original number is
2*(10*x + y)
5) New number is 10 more than double the original number
(10*y + x) - (2*(10*x + y)) = 10
6) Now we have the system of 2 equations:
x + y = 8
(10*y + x) - (2*(10*x + y)) = 10 -----> 10y + x - (20x + 2y) = 10 ---> 8y - 19x = 10
x = 8 - y
8y - 19(8 - y) = 10
8y - 152 +19y = 10
27y = 162
y = 6
x = 8 - y = 8 - 6 = 2
x = 2
So, x =2, y = 6.
Original number 26.
Check:
Original number 26.
New number 62.
Double of the original number = 2*26= 52.
New number is 10 more than double the original number :
62 - 52 = 10 True
Time = distance / speed
time = 300/194
time = 1.546 hrs...not sure if u need that rounded...if so, then it is 1.5 hrs or 1 1/2 hrs
The volume of a quadrangular base pyramid is:
V = (1/3) * (Ab) * (h)
Where,
Ab: base area
h: height
Clearing the area of the base we have:
Ab = (3 * V) / (h)
Answer:
An expression that represents the area of the base of the pyramid is:
A) 3v / h units
(red pens + black pens) / total pens
(4 + 6) / 15 = 10/15 = 2/3
