Answer:
2,616.67cm³
Step-by-step explanation:
<em>Find the diagram attached</em>
volume of the cone = πr²h/3
r is the radius = 10cm
h is the height = 25cm
Substitute
V = 3.14(10)²*25/3
V = 314*25/3
V = 7850/3
V = 2,616.67cm³
Hence the volume of the cone to the nearest hundredth is 2,616.67cm³
To solve this inequality, you must first isolate the term that includes the variable, which is -1/2x. This can be done by first subtracting 1/3 from both sides.
Before you can subtract 1/3 from 3/5, however, you must first convert the fractions to have common denominators.
A common denominator for 1/3 and 3/5 is 15. This is the LCM, least common multiple, of 3 and 5, making it the lowest possible common denominator.
Using this common denominator, 1/3 changes to 5/15 and 3/5 changes to 9/15.
Now we can subtract these equivalent fraction for 1/3, which is 5/15, from the fraction equivalent to 3/5, which is 9/15.
9/15 - 5/15 = 4/15
This fraction can't be simplified any further so this step is done.
Now the inequality is -1/2x > 4/15.
The next step is to isolate x by dividing both sides by -1/2.
An important note to remember when doing this step is that whenever dividing by a negative in inequalities, you must flip the inequality symbol.
In this case, that means dividing both sides by -1/2 and changing the greater than sign (>) to a less than sign (<).
-1/2x ÷ -1/2 = x
4/15 ÷ -1/2
When dividing fractions, find the reciprocal of the second fraction then multiply.
The reciprocal of -1/2 is -2/1, or -2 when simplified.
4/15 • -2 = -8/15
This means x < -8/15.
This has x isolated and the inequality simplified as far as possible.
That means this is the answer.
Answer:
x < -8/15
Hope this helps!
<em>An adult ticket costs $205 and a child ticket costs $49.</em>
<h2>
Explanation:</h2>
Hello! Recall you have to write complete questions in order to find exact answers. Here I'll assume the complete question as:
<em>Two families are planning a trip to Disney. The Smith family bought tickets for 2 adults and 3 children for $557. The Jones family bought tickets for 2 adults and 1 child </em><em>for $459</em><em>. How much does and adult and child ticket cost?</em>
To solve this problem, we need to write a system of linear equations in two variables. So, we know some facts:
- Two families are planning a trip to Disney.
- The Smith family bought tickets for 2 adults and 3 children for $557.
- The Jones family bought tickets for 2 adults and 1 child for $459.
Let:

For the Smith family:
Cost for the 2 adults:

Cost for the 3 children:

Total cost:

For the Jones family:
Cost for the 2 adults:

Cost for the 1 child:

Total cost:

So we have the following system of linear equations:

Subtracting (2) from (1):

Finally, <em>an adult ticket costs $205 and a child ticket costs $49.</em>
<em></em>
<h2>Learn more:</h2>
System of linear equations: brainly.com/question/13799715
#LearnWithBrainly
Answer:
Five hours and fifteen minutes.
Step-by-step explanation:
You add all these together and it gets five hours and fifteen minutes.