Explanation:
To compare fractions, we can convert them to a common denominator and then compare their numerators.
Let's convert all of the fractions to have a common denominator of 280 (the least common multiple of 5, 8, 2, and 7):
3/5 = 168/280
5/8 = 175/280
1/2 = 140/280
4/7 = 160/280
Now we can compare their numerators:
175/280 > 168/280 > 160/280 > 140/280
Therefore, the biggest fraction is 5/8.a
Explanation:
If the store reduces the price of a product by 20%, it means that the new price is 80% of the original price.
To calculate the original price, we need to figure out what percentage of the reduced price is equal to the original price.
Let's say the reduced price is x. We know that x is 80% of the original price, so we can set up the following equation:
x = 0.8 * original price
To solve for the original price, we can divide both sides by 0.8:
original price = x / 0.8
Simplifying, we get:
original price = 1.25 * x
This means that to get back to the original price, we need to increase the reduced price by 25% (which is 1/4 of the reduced price).
Therefore, the percentage we need to raise by to get the original price is 25%.
Explanation:
If five machines can make five parts in 5 minutes, each produces one part in 5 minutes.
So, if we have 100 machines, they can produce 100 parts in 5 minutes.
Therefore, it would take 5 minutes to make 100 parts on 100 machines.
Explanation:
Let's start by figuring out the age of Sofia's brother.
If Sofia is four times older than her brother, then we can represent her brother's age as x and Sofia's age as 4x.
So, we have:
Sofia's age = 4x
Brother's age = x
To find out when Sofia will be twice her brother's age, we can set up the following equation:
2(x + y) = 4x + y
Where y is the number of years from now, we are looking at? We can simplify this equation to:
2x + 2y = 4x + y
Subtracting 2x from both sides, we get:
2y = 2x + y
Subtracting y from both sides, we get:
y = 2x
So, for Sofia to be twice her brother's age, her age (4x) must be twice her brother's age (2x). Solving for x, we get:
4x = 2(2x)
4x = 4x
This means that Sofia's brother is currently eight years old.
Now we can discover how old Sofia will be when she is twice her brother's age.
If her brother is currently eight, we need to find out how long it will take him to be half Sofia's age (4x).
We can set up the following equation:
2x = 8 + y
Where y is the number of years it will take Sofia's brother to be half her age.
Solving for y, we get:
y = 8
So, in 8 years, Sofia's brother will be half her age.
To find out how old Sofia will be in 8 years, we add 8 to her current age:
Sofia's age in 8 years = 16 + 8 = 24
Therefore, Sofia will be 24 years old when her brother is half her age.
Explanation:
The answer is 5 because 4 is half of 8, and 5 is half of 10.
Explanation:
The correct answer is 25; the numbers are decreasing by 3.
