Answer: 17 • 3 = 51 or 17 x 3 = 51
Step-by-step explanation:
When the problem says that Fine has three more books than Ruth, that means that you have to multiply the amount of books that Ruth has by three.
Call the number of days 'd' and the number of miles 'm'.
(Original, eh ?)
Then the equation for Gamma's price is
Price-G = 30.39d + 0.55m
and the equation for Delta's price is
Price-D = 50.31d + 0.43m .
We're going to set the prices equal, and find out
what the number of miles is:
Price-G = Price-D.
30.39d + 0.55m = 50.31d + 0.43m .
Before we go any farther, I'm going to assume that both cases would be
one-day rentals. My reasons: ==> the solution for the number of miles
depends on how many days each car was rented for; ==> even if both
cars are rented for the same number of days, the solution for the number
of miles depends on what that number of days is.
For 1-day rentals, d=1, and
30.39 + 0.55m = 50.31 + 0.43m .
Beautiful. Here we go.
Subtract 0.43m
from each side: 30.39 + 0.12m = 50.31
Subtract 30.39
from each side: 0.12m = 19.92
Divide each side by 0.12 : m = 166 .
There it is ! If a car is rented from Gamma for a day, and another car
is rented from Delta for a day, and both cars are driven 166 miles, then
the rental prices for both cars will be the same ... (namely $121.69)
Take everything to one side and equate it to zero
So: 5x^2 -x -1=0
Next factorise so it’s 5(x^2-1/5)-1=0
So: 5(x-1/5) ^2 -1=0
So complete the square
First of all remove the five by division (x- ((1/5)/2)^2+ (1/5/2)^2 ) -1 =0
So (x- 1/10)^2 +1/5 +1/100 =0
Answer is (x-1/10)^2 -21/100 =0
Take -21/100 to the other side so:
(x-1/10)^2 = 21/100
Square root both sides so
(X-1/10) = square root of 21/100
Take -1/10 to the other side so
X= 1/10 + square root of 21/100
Answer:
Given - Two angles measures 2x and 3x
To find - size of 3x
Solution -
2x + 3x = 360° ( Make reflex angle )
5x = 360°
x = 360/5
x = 72°
3x = 3 * 72 = 216°
