Answer:
26π
Step-by-step explanation:
Hmm... This one is a little hard to understand because of the LaTeX.
Any way, way back to the question. A useful piece of information:
<u>The formula for finding the circumference of a circle is 2πr or π · d :</u>
We first need to find out what x is.
Since 2 times the radius is the diameter, we can set up our equation like this:
2(x + 6) = 3x + 5
Solving gives:
2x + 12 = 3x + 5.
We subtract 2x from both sides:
+12 = x + 5
Subtract 5:
So x = 7.
Now we can plug-and-chug:
7 + 6 = 13 times 2pi (this is the radius)
21 + 5 = 26 times pi.
<u>Check:</u>
When we check 13 (radius) times 2 should equal the diameter(26)
13 * 2 = 26.
So we are correct. The answer 26π is correct.
Answer:
Step-by-step explanation:
An expression for the total cost of the daycare for Lucy's dog this week is T = 3F + 2H and the total cost is equal to $114.
<h3>How to write an expression for the total cost?</h3>
In this exercise, you're required to write an expression for the total cost of the daycare for Lucy's dog this week. Thus, we would assign a variable to the cost for full-day and half-day day care as follows:
- Let the cost for full-day be F.
- Let the cost for half-day be H.
Thus, the total cost of the daycare is given by:
T = 3F + 2H
Evaluating the expression, we have:
T = 3(28) + 2(15)
T = 84 + 30
T = $114.
Read more on expressions here: brainly.com/question/12189823
#SPJ1
Answer:
-15
Step-by-step explanation:
3^2 - 3 x [(5^2 - 9) / 2 ]
9 - 3 x [(25 - 9) / 2]
9 - 3 x (16/2)
9 - 3 x 8
9 - 24
-15