Answer:
x = 4
Step-by-step explanation:
We assume your equation is intended to be ...
2^(2x+7) = 2^15
Equating exponents gives ...
2x +7 = 15
2x = 8 . . . . . . subtract 7
x = 4 . . . . . . . divide by 2
The value of x is 4.
<span>commutative property of multiplication</span>
About 5 books have been signed out, so they still have 4.
The two numbers are 3 and 18, if the sum of two number is 21 and the second number is six times the first number.
Step-by-step explanation:
The given is,
The sum of two numbers is 21
The second number is six times the first number
Step:1
Let, m - First number
n - Second number
Step:2
From given,
n - 6m ( The second number is six times the first number )
Equation becomes,
Sum = m + n
Where,
21 = m + ( 6m )
21 = 7m
m = 3
Substitute m value n becomes,
n = 6m
= (6 × 3)
n = 18
Result:
The two numbers are 3 and 18, if the sum of two number is 21 and the second number is six times the first number.
The volume of the triangular prism is 66 cubic inches.
In order for us to know the volume of the triangular pyramid, first we need to know the ratio of the volume of triangular prism and the volume of the triangular pyramid.
Volume of the pyramid = 1/3 * volume of the prism.
Volume of the pyramid = 1 / 3 * 66
<span>Volume of the pyramid = 22 cubic inches.
</span>
So the volume of the triangular pyramid is 22 cubic inches.