Answer:
3/4 bucket
Step-by-step explanation:
Elle placed a bucket under a leaky roof. The bucket was 3/10 full after 2/5 of an hour. How much water is leaking per hour
Water leaking : time taken
Let x = amount of water leaking per hour
3/10 : 2/5 = x : 1
3/10 ÷ 2/5 = x / 1
3/10 × 5/2 = x / 1
15 / 20 = x / 1
Cross product
15 * 1 = 20 * x
15 = 20x
x = 15/20
= 3/4
3/4 bucket of water is leaking per hour
Answer:
f x d = d x f
The commutative property of multiplication is just the numbers switched around, but it doesn't change the product. It has to in multiplication.
Answer:
Step-by-step explanation:
since they are in continued proportion the ratio will be
3/8=9/x
do cross multiplication
8*9=3*x
72=3x
72/3=x
24=x
therefore x =24
Answer:
Any number less than 1
Step-by-step explanation:
Let x be the number Lin multiplies by 7/8. So, we have:
(7/8)*x < 7/8
We need to find the possible values for x. Lets start by dividing both sides of our inequality by (7/8) in order to get x alone on the left side.
(7/8)*x / (7/8) < (7/8)/(7/8)
Reordering:
(7/8) / (7/8) * x < (7/8)/(7/8)
As any number divided by itself (except from 0) is equal to 1:
x < 1
So, the number that Lin multiplied by 7/8 MUST be less than 1. This is evident, as any positive number multiplied by a number less than 1 will decrease, doesn't matter if its a negative or positive number.
So, such number is less than 1. Any number less than 1 could be Lin's number.
To answer this question we can see in the graph that the first quartile Q1 is in the value 2. That means that 25% of the days were sold 2 books or less. If there were 60 days in total, this means that less than two books were sold for 15 days.
The third quartile Q3 has a value of 12. This means that 75% of the days (45 days) were sold 12 books or less.
Then for 45 days less than 12 books were sold and you know that in 15 of those 45 days less than 2 books were sold.
Finally, the days that sold between 2 and 12 books were
RIC = 54-15 = 30 days
The correct answer is the third option: 30 days