Answer: $141.75
Explanation:
8:00-> 12:00= 4 hours
12:45->17:30= 5.45 hours
4+5.45=9.45 hours
9.45 x 15 = 141.75
Answer:
point slope form: y + 4 = 3/8 (x + 5) slope intercept: y = 3/8x - 17/8
Step-by-step explanation:
y2 - y1 / x2 - x1
-1 - (-4) / 3 - (-5)
slope = 3/8
y + 4 = 3/8 (x + 5)
y = 3/8x + b
-1 = 3/8(3) + b
-1 = 9/8 + b
-17/8
y = 3/8x - 17/8
Answer:
Step-by-step explanation:
1)
The solution to the system (c , p) represent the cost of each hot cocoa is c and the cost of each pretzel is p
2)
Nothing changed just two equations were added to form another third equation which represent the total cost of 7 cups of hot cocoa and 8 pretzels
so the solution (c , p) would still be the same as the solution represents cost of each cup of hot cocoa c and cost of each pretzel p
3)
No adding both the equations does not help us solve the equation, It just forms another equation further making the question longer and the third equation is not needed because to solve a system of equations with 2 variables to equations are enough, in this case c and p To solve the system of equations we multiply the first equation with 2 and the second equation with 5 and then subtract equation 1 from equation 2

Now for the value of c we insert the value of p in any equation, lets insert it in equation 1

Answer: 
Step-by-step explanation:
Using Pythagoras theorem , since it is a right angled triangle ,
side 1 = 10cm
side 2 = x cm
side 3 = x cm
Pythagoras theorem states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides. That is

100 = 
divide through by 2 , we have
50 = 
find the square root of both sides


Tangent is opposite to adjacent, so 6/8, which is 3/4