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
Answer:
B. 3
Step-by-step explanation:
You can use online calculators for this like symbolab.com for steps! Here is your specific question answered with steps: https://www.symbolab.com/solver/step-by-step/%206%20%E2%88%92%203%5E%7B3%7D%20%5Cdiv%5Cleft(2%5E%7B2%7D%20%2B%205%5Cright)%20
Answer:
D. x^2 +14x + 40
Step-by-step explanation:
(x+4)(x+10)
x^2+10x+4x+40
x^2+14x+40
With the first problem: You always divide from the left, then the rigth. 2+246/6 = 246/6=41 41+2=43