Okay, let's represent the price of a bed sheet with 'b' and a towel with 't':
54b + 50t = 923
38b + 61t = 791.50
Now, if we subtract both sides by 54b (on the first equation), we get this:
50t = 923 - 54b
Divide both sides by 50:
t = 18.46 - 1.08b
Now that we know this, we can move on to the 2nd equation:
38b + 61t = 791.50
Input the variable 't':
38b + 61(18.46 - 1.08b) = 791.5
38b + 1126.06 - 65.88b = 791.5
38b - 65.88b = 791.5 - 1126.06
Simplify:
-27.88b = -334.56
Because both sides are negative, we can turn it into a positive:
27.88b = 334.56
b = 334.56/27.88
b = 12
Now that we know that b = 12, we can easily input it into any equation:
648 + 50t = 923
50t = 275
t = 5.5
One bed sheet costs $12 and one towel costs $5.50
Option C is the answer.
Answer:
C - 9 cm
Step-by-step explanation:
We can use the Pythagorean theorem to figure out the missing side length, in this case, X.
The Pythagorean theorem states: a^2 + b^2 = c^2, with c being the hypotenuse. We have the side length of the hypotenuse which is 15, and we have another side length of 12. Let's put these back in our equation:
a^2 + 12^2 = 15^2;
If we simplify the squares by simply doing them: a^2 + 144 = 225;
Now let's subtract 144 from both sides to isolate the variable, a:
a^2 = 81;
Now we square both sides to find a:
a = 9
The missing side length is 9 cm.
45/100 = 9/20
Work: divide by 5
$332.64
20% of 415.80 is 83.16
415.8-83.16=$332.64
When b does not equal 0 it’s a non proportional relationship
y=mx+b
