Answer:
x=3
Step-by-step explanation:
You can find the solution to the two equations by setting them equal to each other.

Add 2/3x to both sides:


Hope this helps!
Answer:
Step-by-step explanation:
How many questions are on the exam? Represent this by n.
Then 40% of n comes out to 12 questions, or more symbolically,
0.40n = 12, after which we get n = 12/0.40 = 30
Answers:
(1) 0.40n = 12 is the desired equation.
(2) n = 30 is the number of questions on the exam.
(3) See above for explanations.
Answer:
<em>C.) One mile</em>
Step-by-step explanation:
9/10 ain less than 1/4
9/10 is wayyy more than 1/2
9/10 ain even one mile so how could it be more than a mile?
First, substitute the given radius and given height of the cone into the formula for the volume of a cone.
Volume of a cone: (1/3) pi r^2 h
In this case, the cone volume is (1/3) pi (12 cm)^2 (12 cm) = 576 cm^3
Vol. of a rt. cylinder: pi r^2 h
In this case, the vol. of the rt. cyl. is pi (8 cm)^2 h.
The two different shapes have the same volume. Therefore, set the two formulas (above) equal to each other:
576 pi cm^3 = pi (8cm)^2 h. This becomes
576 pi cm^3 = pi (64 cm^2) h. "pi" cancels out, leaving us with
576 cm^3
------------- = h. This is the height of the cylinder, in cm.
64 cm^2
Answer:
A.2/3
B.2/10
C.9/10
D.10/8
Step-by-step explanation: