The ratios are not equivalent.
Answer: The combined mass of the quarters is 11.863 g.
Step-by-step explanation:
1. You have the following information given in the problem above:
- The mass of the modern quarter is 5.623 g.
- The mass of the older silver quarter is 6.24 g.
2. Therefore, to calculate the combined mass of the quarters, you only need to add the mass of the modern quarter (5.623 g) and the mass of the older silver quarter is (6.24 g), as you can see below:
Let's call the combined mass of the quarters . Then:
Answer:
5.33 hours
Step-by-step explanation:
Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of samples in her neighborhood. It takes Ashley 2/3 of a minute to prepare one bag. It takes each of her friends 75% longer to prepare a bag. How many hours will it take Ashley and 4 of her friends to prepare 1575 bags of samples?
Time Ashley takes to prepare one bag = 2/3 min
Time it takes each friend of Ashley to prepare one bag = 75% more than it takes Ashley
= (75% of 2/3 min) + 2/3 min
= (0.75 × 2/3) + 2/3
= (3/4 × 2/3) + 2/3
= 6/12 + 2/3
= 1/2 + 2/3
= (3+4)/6
= 7/6 min
Rate of Ashley and 4 friends preparing 1 bag
Rate Ashley works = 1 bag / (2/3) min
= 3/2 bag/min
Rate each friend of Ashley works = 1 bag / (7/6) min
= 6/7 bag/min
Rate 4 friends of Ashley works
= 4 × 6/7 bag/min
= 24/7 bag/min
Rate of Ashley and 4 friends preparing 1 bag = 3/2 bag/min + 24/7 bag/min
= 3/2 + 24/7
= (21+48)/14
= 69/14 bag/min
Time taken to prepare 1575 bags
= number of bags / number of bags per min
= 1,575 bags / (69/14) bags/min
= 1575 × 14/69
= (1575×14)/69
= 22,050 / 69
= 319.57 min
319.57 min to hours
= 319.57 min / 60 min
= 5.33 hours
Answer:
Square roots are when you multiply the same number by itself like for example, the square root of 5 is 25, because 5*5=25
Step-by-step explanation: