Answer:
5
Step-by-step explanation:
for the first gear
revolutions/teeth
1 / 24
2 / 48
3 / 72
4 / 96
5 / 120
6 / 144
for the second gear
revolutions/teeth
1 / 40
2 / 80
3 / 120
4 / 160
<em>the two marks will meet after 120 teeth, 5 revolutions of the first gear and 3 revolutions of the second.</em>
the way to get that amount of teeth is


the Least Common Multiple equals the product of all factors, but those factors who are repeted for both numbers should be only once.

120 teeth are 5 revolutions for gear1 and 3 por gear2
Answer:
y=-13x + 78 I'm not sure what's up with those answer choices though
The surface area (SA) of a cube can be written as:
SA = 6s²
From here we can write, the length of the side s as:

For cube with surface area of 1200 square inches, the side length will be:

inches
For cube with surface area 768 square inches, the side length will be:

inches
The difference in side lengths of two cubes will be:
Rounding to nearest tenth of an integer, the difference between the side lengths of two cubes will be 2.8 inches.
For this case we must solve the following questions:
Question 1:
We should simplify the following expression:

Applying double C we have:

By definition of multiplication of powers of the same base we have to place the same base and add the exponents:
Canceling common terms:

Answer:
Option A
Question 2:
We should simplify the following expression:

So, we have:

Simplifying common terms:

Answer:
Option D
Question 3:
We factor the following expressions to rewrite the experience:
<em>
: </em>We look for two numbers that multiplied give 10 and added 7:

<em>
</em> We look for two numbers that multiplied give -50 and added -5:

<em>
</em>
Rewriting the given expression we have:

We simplify common terms in the numerator and denominator we have:

Answer:
Option D
V=4/3pi(r^3)
V=4/3pi(9^3)
V=3,054 inches^3
Think this is right