First of all, you have to arrange the numbers according to those similar to them. So that will be;
1.5r is subtracted from 2.25r because it crossed over an equality sign to get its position close to 2.25r. And when a number crosses over an equality sign, the sign on the number chages to the opposite. 1.5r has an invisible positive sign which became negative when it crossed. Anyway;
2.25r-1.5r is the same as 2.25-1.5. And that is 0.75r
To find out what r is, you have to divide the both sides by 0.75. This is done to remove the 0.75 close to r to finally reveal what r is. Anyway;
15 divided by 0.75 is 20. And 0.75r divided by 0.75 is r. So;
r=20. So the answer is 20 movies. Hope i helped. Have a nice day.
Hope I could help c:
Your equation is correct. To solve it subtract 1.5r from both sides and divide by the resulting coefficient of r.
15 = 0.75r
15/0.75 = r = 20
You must rent 20 movies for the costs to be the same.
The equation given represents the number of movies, , that must be rented to spend the same amount at each store.
We want to find the number of movies, so we should solve for . To solve for we must isolate it on one side of the equation.
First, let's get all the terms with a variable on one side. Subtract 1.5r from both sides of the equation.
0.75 and are being multiplied. The inverse of multiplication is division. Divide both sides of the equation by 0.75
20 movies must be rented to spend the same amount at each store.
C. 11 is the correct answer
The table representing the probabilities of player's batting average is,
Left-Handed pitchers Right-Handed pitchers
Bats Left 0.285 0.175
Bats Right 0.215 0.250
So, when the players bats left 100 times,
The probability of hits he gets when faced by left-handed pitchers = 0.285 × 100 = 28.5
The probability of hits he gets when faced by right-handed pitchers = 0.175 × 100 = 17.5
Thus, the difference in the hits = 28.5 - 17.5 = 11
Hence, the player will get 11 more hits t when he faces left-handed pitchers as opposed to right-handed pitchers.
a) $ 9.50
c) y-intercept (0, 12). this is the initial amount of money that joe had prior to playing any game.
d) x-intercept ( 24, 0). this is the number of games that joe will play before he depletes the initial amount of money that he had.
e) slope is -0.5. joe's balance will reduce by 0.5 for every game that he plays.
g) x + 2y = 24
if joe plays 5 games, this will imply that x = 5. substitute x = 5 in the equation and solve for y;
y = -.50x + 12
y = -0.50(5) + 12
y = 9.50
if joe leaves the arcade with $3.50, this will mean that y = 3.50. plug in y = 3.50 in the given equation and solve for x;
y = -.50x + 12
3.50 = -0.50x + 12
0.50x = 12 - 3.50
0.5x = 8.5
x = 17
the function given is y = -.50x + 12.
the y-intercept is the point where the graph of this function will intersect the y-axis. at this point, the value of x is usually 0. plug in x = 0 in the given equation and determine y;
y = -0.50(0) + 12
y = 12
the y-intercept is thus (0, 12). this is the initial amount of money that joe had prior to playing any game.
the x-intercept refers to the point where the graph of a function intersects with the x-axis. at this point, the value of y is 0. substitute y = 0 in the given equation and solve for x;
0 = -.50x + 12
0.5x = 12
x = 24
x-intercept ( 24, 0). this is the number of games that joe will play before he depletes the initial amount of money that he had.
the slope of the given equation is -0.5. the equation has been given in slope-intercept form. thus the slope is simply the coefficient of x.
joe's balance will reduce by 0.5 for every game that he plays. this is the interpretation of the slope.
domain is the set of x values for which the function is real and defined. the domain will thus be; [0,24]. this will restrict the balance to only assume positive values.
on the other hand, the range is the set of y values for which a function is real and defined. the range in our case will be [0,12]. joe can have between $0 and $12 balance.
the standard form of the equation of a straight line is;
ax + by = c
where a, b, and c are integers.
our equation is given as;
y = -.50x + 12
re-writing the equation we have;
0.5x + y = 12
divide all through by 0.5;
x + 2y = 24