Answer:
The capacity of the mug = 
cups
Step-by-step explanation:
Given - A mug is 1/8 full. The mug contains 1/6 of a cup of water.
To find - Find the capacity of the mug. Write the answer as a fraction or mixed number
Proof -
Let the capacity of water = x
Given that,
A mug is 
full of water
⇒Total cups of water in the mug = 
Now,
Given that, The mug contains 
of a cup of water.
∴ we get
=
⇒x = × 8
= 
= 
=
⇒x =
∴ we get
The capacity of the mug = cups
Answer:
She catered for 40 people.
Step-by-step explanation:
According to the information given, you can write an equation that indicates that 30 people multiply for its cost that is $10 plus the number of people after 30 for its cost that is $9 is equal to $390. According to this, the equation is:
10(30)+9x= 390, where
x= number of people after 30
Then, you can solve for x:
300+9x= 390
9x=390-300
9x= 90
x=90/9
x=10
The answer is that she catered for 40 people, 30 people at a cost of $10 and 10 people for a cost of $9.
Answer:
Mariana takes the two pills together after 18 hours.
Step-by-step explanation:
Mariana must take two pills; one every 6 hours and another every 9 hours.
She take two pills together. Let she takes the two pills together after t hours at the time when she take initially.
To find the time to take the two pills together, take the least common multiple of 6 and 9.
6 = 2 x 3
9 = 3 x 3
So, the least common multiple is 2 x 3 x 3 = 18
So, she takes the two pills together after 18 hours.
The slope of KH is 1
The slope of GJ is -1
The product of the slopes of the diagonals is -1
Therefore, KH is perpendicular to GJ
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