Answer:
15.31
Step-by-step explanation:
solve both sides separately
6x+78/67-78x
x cancles out
becomes 84/-11
becomes -7.64 rounded
180+270-567
becomes -117
moves -7.64 to other side (divide by other side)
-117/-7.64
becomes 15.31
Answer: Option C.
Step-by-step explanation:
Use the formula for calculate the volume of a cone:
Where r is the radius and h is the height.
Volume of the cone A:
Volume of the cone B:
If the height of the cone B and the height of the cone A are the same , but the radius of the cone B is doubled, then its radius is:
Then:
Divide 
by 
:
Therefore: When the radius is doubled, the resulting volume is 4 times that of the original cone.
Answer:
<u>Residue</u>
Step-by-step explanation:
Let a and b be integers. We define a mod b to be the residue of dividing a by b. For example, if a evenly divides b, then a mod b=0, 20 mod 6= 2. The modulus operator is widely used in programming, and it is convenient when a and b are large numbers.
a mod b is always a nonnegative integer. In fact, 0≤ a mod b≤ |b-1| by the division algorithm. a and b can also be negative integers. Since 8=-(-5)+3 then 8 mod -5= 3.
As a final example, some known properties can be rewritten in terms of mod. a mod 2=0 if and only if a is even. a mod 2=1 if and only if a is odd.
Answer:
600 feet
Step-by-step explanation:
Answer:
<span>⇒x=9</span> (positive solution)
Explanation:
<span><span>x2</span>−36=5x</span>
<span>→<span>x2</span>−36−5x=0</span>
Factor the expression:
We get:
<span><span>(x−9)</span><span>(x+4)</span>=0</span>
First solution:
<span>⇒<span>(x−9)</span>=<span>0<span>x+4</span></span></span>
<span>⇒<span>(x−9)</span>=0</span>
<span>⇒x=<span>9</span></span>
