Answer: 7/12 of the beads are blue and green
Step-by-step explanation: To make both denominators of fraction 3/12 and 1/3 equal, you have to change both denominators to the lowest common denominator. Since the LCD (lowest common denominator) is 12 you have to multiply 1/3 by 4 to make the two denominators match.
1/3 x 4/4= 4/12
Then to find the total fraction of both green and blue beads on the necklace, you simply have to add the two fractions together.
4/12+3/12= 7/12
hope this helps :)
Answers:
a. Given
b. Transitive property of congruence
c. Vertical angles are congruent
d. Transitive property of congruence
Let me know if you need any clarification as to how I got those answers. They should be self-explanatory but I'm happy to clarify further if needed.
Answer:
b. 300x1 + 125x2 < = 4,000
Step-by-step explanation:
Maximum of 4,000 hours
This means that the the total amount of labor has to be of at most 4,000, that is:
300 ping-pong balls (x1) or 125 wiffle balls (x2) can be produced per hour of labor
The total amount of labor is:
Uniting the two equations:
And thus the correct answer is given by option b.
