Question: Which equation is equivalent to
Option A:
Option B:
Option C:
Option D:
Answer:
Option C:
Solution:
Given expression:
Convert 16 to the base 2 and 32 to the base 2.
Using exponential rule:
Using the rule,
8p = 5p + 15
3p = 15
p = 5
Substitute p = 5 in given expression, we get
<u>To find the equivalent expression to the given expression:</u>
Option A:
Using the rule,
⇒ 4p = 4p + 3
⇒ 0p = 3
No solution for p, so it is not equivalent to the given expression.
Option B:
Using the rule,
⇒ 4p = 4p + 12
⇒ 0p = 12
No solution for p, so it is not equivalent to the given expression.
Option C:
Using the rule,
⇒ 8p = 5p + 15
⇒ 3p = 15
⇒ p = 5
Substitute p = 5 in , we get
It is equivalent to the given expression.
Option D:
Using the rule,
⇒ 8p = 5p + 3
⇒ 3p = 3
⇒ p = 1
Substitute p = 1 in , we get
It is not equivalent to the given expression.
Hence Option C is the correct answer.
Answer: 45.84, or 46 miles rounded up
HOPE THIS HELPS
The meaning of circumference is to find the distance around a circle or in other words perimeter by using the formula C=2πr or C=<span>πd.
On this case it is asked you to find the circumference of a circle with a diameter of 3 meters, so you will use the formula C=2</span><span>πr.
C=2</span><span>πr
C=2(3.14)(3)
C=18.84 meters
The circumference of the given circle is 18.84 meters.</span>
Answer:
-1 degree
Step-by-step explanation:
1.) Subtract 19 from 14.
14 - 19 = -5
2.) Add 4 to -5.
-5 + 4 = -1
Final temperature: -1 degree