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:
-3x^4 - 14x^3 + 3x^2 - 10
Step-by-step explanation:
.60×.55=.33 cent mark up to original price
.60+.33=.93 cost per muffin
.6×100=60×.55=93 cost for 100 muffins
93/100= .93 cost per muffin
Answer:
7 ( b + 4 ) = 9
Step-by-step explanation:
Let the number be = b
It is given that the :
The number is added to 4.
And the value is equal to 9 when it is 7 times the sum of the number, b and 4.
Thus according to the question, the sentence can be translated in equation form as :
7 ( b + 4 ) = 9
Thus in other word, we can say that the addition of (b + 4) when it is multiplied for 7 times, we get the result as 9.
Answer:
4000 nm
Step-by-step explanation:
Conversion from meters to nanometers: 1 meter is 1(10⁹) nm
Step 1: Convert 0.000004 to scientific notation
0.000004 = 4(10⁻⁶)
Step 2: Convert by multiplication
4(10⁻⁶) x 1(10⁹) = 4000 nm
