IDK. I looked up the answer but i couldn't find it. I'm on UsaTestPrep and they gave me the same question.
I can only assume that you meant, "Solve for x:"
Apply the exponent 3/2 to both sides of this equation. The result will be
3/2
343 = x/6.
Multiplying both sides by 6 isolates x:
3/2
6*343 = x Since 7^3 = 343, the expression for x
can be rewritten as
3/2
6*(7^3) = x which can be further simplified, as follows:
x = 6^(3/2)*7^(9/2), or:
x = 6^(3/2)*7^(8/2)*√7, or
x = 6^(3/2)*7^4*√7
<h3>
Answer: 12.5 (choice C)</h3>
=================================================
We apply the pythagorean theorem to find this answer.
a = 11 and b = 6 are the given legs
c = unknown hypotenuse
So,
a^2+b^2 = c^2
c = sqrt( a^2+b^2 )
c = sqrt( 11^2 + 6^2 )
c = sqrt( 121 + 36 )
c = sqrt( 157 )
c = 12.52996 approximately
c = 12.5
Side note: once you replace 'a' and b with 11 and 6, you can compute everything with a calculator in one single step more or less. The steps above are shown if you wanted to find the exact value sqrt(157).
Answer:
Step-by-step explanation:
let x = number of of hot dogs that 105 people will do
therefore
14 people = 21 hot dogs
105 people = x hot dogs
14 x 105 people = 21 x Xhotdogs
1470 = 21X
divide through by 21
1470/21 = 21X/21
70 = X
X = 70
therefore,
105 people will makev 70 hot dogs