Answer:
10.5
Step-by-step explanation:
10.5 is greater than 10 but also less than 11.
Answer:
The closest measurement to the volume of hat is 84.82 in.³.
Step-by-step explanation:
Given:
The dimensions of hat are height(h) 9 inches and diameter(d) 6 inches.
Now, to find the volume of cone:
Putting the formula
.
Radius(r) is not given, finding the radius:
Radius(r)=half of the diameter(d)


.
Then, 
=
=
(
)
=
=
=
in.³
So, the volume is 84.78 in.³ .
Therefore, the closest measurement to the volume of hat is 84.82 in.³.
<h2>
Systems of Equations Word Problems</h2>
To solve these questions, we can translate key words into operations:
- <em>Difference</em> = subtract
- <em>Twice</em> = double
- <em>Less than</em> = subtract
<h2>Solving the Question</h2>
We're given:
- Difference of Annie's age and twice Carl's age is 22
- Annie's age is 13 less than 3 times Carl's age
There are two variables given two us: Annie's age and Carl's age.
- Let Annie's age be equal to <em>x.</em>
- Let Carl's age be equal to <em>y</em>.
Translate the given information into two equations:
- Difference of Annie's age and twice Carl's age is 22
⇒ 
- Annie's age is 13 less than 3 times Carl's age
⇒ 
Now, we can substitute the fist equation into the second one to solve for <em>y</em>:

Now, substitute <em>y</em> back into the second equation to solve for <em>x</em>:

<h2>Answer</h2>
Therefore, Grandma Annie is 92 years old.
Answer:
1/9
Step-by-step explanation:
1/9 fills faster than
1/27
1/18