total marbles: 2+3+7 = 12
add blue and yellow 2+3=5
7 marbles aren't blue or yellow
probability = 7/12 marble is not one of those
$5.49 per hamburger x 2 hamburgers=$10.98
$1.75 per soda x 4 sodas=$7
$10.98+$6.25+$12.99+$7=$37.22
$37.22 x 0.07 sales tax=approximately $2.61
$37.22 x 0.2 tip=approximately $7.44
$37.22+$2.61+$7.44=$47.27
Answer:
The required constant of variation is 4 and the equation is y=4xz over w (over meaning a fraction)
I don't know if you need a explanation on how to do this, just let me know if so.
Step-by-step explanation:
Answer:
0.80A + 0.92B = 63 .....1
A + B = 75 ......2
Step-by-step explanation:
Let A and B represent the total possible score in part A and B respectively;
Analysing each sentence of the question;
Sam scored 80% on Part A of a math test and 92% on part B of the math test. His total mark on the test was 63
80% of A + 92% of B = 63
0.80A + 0.92B = 63 ......1
The total possible marks for the test was 75;
A + B = 75 .....2
So, equation 1 and 2 provides a set of simultaneous equations that can be used to represent and solve the situation.
Solving the simultaneous equations, we will arrive at;
Part A = 50
Part B = 25
-9 is a rattional number because it is an integer and it can be squared.