Answer:
Joyce has total 62 colored beads.
Step-by-step explanation:
For making groups of 9, let the number of beads be x.
total beads = 9x + 8
For making groups of 8, let the number of beads be y.
total beads = 8y + 6
As the total number of beads in both cases are same so,
9x + 8= 8y + 6
or, 9x-8y = -2
Now lets check the values through hit and trial;
First check; x=6, y=7
9*6 - 8*7 = -2
or, 54- 56 = -2
or, -2 =-2
This satisfies our equation.
Hence; Total beads = 9*6 + 8 = 62
The total number of beads joyce had is 62.
Answer: 196
Step-by-step explanation:

Answer:
(first and brainliest??) 27 degrees
Step-by-step explanation:
The top triangle's missing angle is 75 degrees because 85+20=105 and 180-105=75. Knowing this, we know that the angle that's connecting the two triangles is also 75 degrees. 78+75=153 and 180-153=27
Answer:
Ok, here is the answers! brainliest pleaseee :D
Step-by-step explanation:
13. - 0.624 kg. (Explanation: 104 grams per one pack of pop-tarts. 104 g x 6 packs of pop-tarts equal 624 grams in total. 624 grams to kilograms is 0.624 kg.)
14. - No. The tablecloth is 155 cm long. It needs to cover a table that is 1.6 meters long. 155 cm to meters is 1.55 meters. The tablecloth is 0.05 to short to cover the table. 1.6 meters - 1.55 meters = 0.005.
15 - Alex's sister rode the farthest. She rode 1,000 meters farther than Alex. 2 kilometers in meters is 2,000 meters. His sister rode 1,000 meters more than that, 3,000.
Please refer to my image where it shows my work as I’m explaining.
Okay, for system 1:
1. I am using the elimination method to solve. So I check if all the terms are lined up and if any are the same. I found that 2X are common in both equations.
2. The goal is to “eliminate” the term hence the name. So I can choose to add or subtract. I chose subtraction because 2 - 2 equals 0 which is our goal. Solve for the rest of the terms. This will lead to getting y =4. Refer to image for the work.
3. Last step to to find the X value. We do this by picking any of the given equations,then substitute y with 4 and solve to eventually get x = 10. Refer to image for the work.
FOR SYSTEM 2:
1. Again, I am using the elimination method to solve. I noticed that NONE of the terms are in common so I will have to intervene. You can chose any term to create a match with but I chose Y since it was the one I could use the smallest number to multiply with. When multiplying, DONT just multiply Y, multiply ALL the terms in the equation or else everything will crash.
2. Now that I have terms in common I can choose to add or subtract. I chose subtraction because 2-2 equals zero which is what we want. Solve look at image for my process which lead to X = -8
3. Last step is to find the value of Y. Chose any of the given equations in system 2 then substitute x with -8. Refer to image to see process. It lead to y = 20
To check the validity of the answers, substitute the x and y values into both equations both side of the equal side should have the same number. Hope that helped!