We need to find the base x in the following equation:
First, lets convert 365 from base 7 to base 10. This is given by
where the upperindex denotes the position of eah number. This gives
that is, 365 based 7 is equal to 194 bases 10.
Now, lets do the same for 43 based x. Lets convert 43 based x to base 10:
where again, the superindex 0 and 1 denote the position 0 and 1 in the number 43. This gives
Now, we have all number in base 10. Then, our first equation can be written in base 10 as
For simplicity, we can omit the 10 and get
so, we can solve this equation for x. By combining similar terms. we have
and by moving 197 to the right hand side, we obtain
Finally, we get
Therefore, the solution is x=5
Answer:
Total laps = 10d
Step-by-step explanation:
Let c = Carl's laps
d = Daria's laps
e = Erin's laps
c = 3d
c = e/2
c + d + e = totals laps
We can insert 3d in place of c in the third equation
3d + d + e = total laps
Also, e/2 equals 3d
e/2 = 3d
Multiply both sides by 2
(e/2 = 3d)2
e = 6d
Insert the new e
3d + d + 6d = 10d = totals laps
A, x-intercept is when y=0, so in this case when y=0, the equation becomes 5x=0. Therefore, x must equal 0 for 5x=0. so y=0 and x=0 so the answer it (0,0), which is A.
Answer:
The square with side 5 centimeters have a greater area.
Corrected question;
Which has the greater area: a 6‐centimeter by 4.12‐centimeter rectangle or a square with a side that measures 5 centimeters?
Step-by-step explanation:
The Area of a rectangle can be written as;
Area A = length × breadth
Given;
Length = 6 cm
Breadth = 4.12 cm
Substituting the values;
Area of rectangle = 6cm × 4.12cm = 24.72 cm^2
For the square;
Area of a square = length × length
Given;
Length = 5 cm
Substituting the values;
Area of the square = 5cm × 5cm = 25 cm^2
Since 25 cm^2 is greater than 24.72 cm^2
The square has a greater area.
Answer:
500$ she has 100$ and plans to save $25 each month
Step-by-step explanation:
she will have to save $25 for 16 months to pay the bank back there money
