Answer: -8.92
Step-by-step explanation:
Answer: #3) 6 feet.
#4) 10 centimeters. #5) JK. #6) V. #7) SV
Step-by-step explanation: look for the corresponding orders between the two shapes.
Angles and segments are written in order so that they correspond to the congruent angles and segments of the corresponding shape. Example: in question #2, triangle PQR is congruent to triangle STU. This means that P in triangle one corresponds to S in triangle 2. Q corresponds to T and R corresponds to U. This is true for any shape that is congruent.
The slope (9) is the amount of money you earn per hour, hence multiplying the amount by h, hours.
I've included a picture of the graph below.
Answer:
A + B = 24
16A + 20B = 434
Step-by-step explanation:
To write a system of equations for this scenario, let's say that A represents the number of hours machine A ran, and B represents the number of hours machine B ran.
The first equation will be:
A + B = 24
because the total number of hours ran is 24.
The second equation will be:
16A + 20B = 434
because the total number of items made is 434.
A + B = 24
16A + 20B = 434
First solve for one variable, and let's just do A.
Using the first equation, A + B = 24, A is equal to 24 - B.
Substitute this value to the second equation.
16 (24 - B) + 20B = 434
384 - 16B + 20B = 434
4B = 50
B = 12.5
Now use this value of B to find the value of A.
A + 12.5 = 24
A = 11.5
Machine A ran for 11.5 hours, and Machine B ran for 12 hours.