Answer:
Step-by-step explanation:
Let g represent the weight of the g oranges that were put in the crate in pounds.
From the information given,
The weight of the empty crate is 15 pounds. The total weight of the crate when filled with g oranges is 24.5 pounds.
Therefore, the equation that represents the relationship between the weight of the crate and the number of oranges it contains is
g + 15 = 24.5
g = 24.5 - 15
g = 9.5 pounds
The weight of the g oranges is 9.5 pounds
Answer:
Infinite solutions.
Step-by-step explanation:
A ratio, which is essentially a fraction, can be written in an infinite number of ways and still have the same value..
As an example:
2/1 = 2
6/3 = 2
As long as both the top and bottom of a fraction are multiplied by the same value, the fraction will keep the same value.
So, any ratio that's a multiple of 1/5 is equivalent.
#8. The answer would be 189. The LCM (least common multiple) of 2 or more numbers, is the multiple that each number has in common with one another. Here are the multiples of both numbers up to 189, to show 189 is the answer.
- 21: 21, 42, 63, 84, 105, 126, 147, 168, 189
- 27: 27, 54, 81, 108, 135, 162, 189
#9. The answer would be 41. Prime numbers are numbers that only have 2 favtors (1 and itself). Since 41 is only divisible by 1 and itself, without the answer being a decimal, it is a prime number.
#10. The answer would be 6. The GCF (greatest common factor) of 2 or more numbers, is the largest factor that each number has in common with one another. Here are the factors of both numbers, to show 6 is the answer.
- 30: 1, 2, 3, 5, 6, 10, 15, 30.
- 48: 1, 2, 3, 4, 6, 8, 12, 24, 48.
I hope this helps!
The answer is x=30 because f-1x=30
F-x=30
X=30