Eve is organizing a race to raise money for a local children's hospital. She makes $20 for each 5K participant and $45 for each 10K participant. Her goal is to raise $9,500.If x represents the number of participants in the 5K race and y represents the number of participants in the 10K race, the linear equation for the given scenario is

20x + 45y = 9500 is the linear equation for given scenario

Step-by-step explanation:

Given that Eve makes $20 for each 5K participant and $45 for each 10K participant

Cost of each 5k participant = $ 20

Cost of each 10k participant = $ 45

Her goal is to raise $9,500

Let "x" represents the number of participants in the 5K race

Let "y" represents the number of participants in the 10K race

To find: linear equation for given scenario

The standard form for linear equations in two variables is Ax + By = C

Eve makes $20 for each 5K participant and $45 for each 10K participant and goal is to raise $ 9500

From the above statement, we can frame a equation as:

number of participants in the 5K race x Cost of each 5k participant + number of participants in the 10K race x Cost of each 10k participant = $ 9500

20x + 45y = 9500

Therefore, the linear equation for given scenario is found

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.

step-by-step explanation: