Answer:
<h2>infinitely many solutions</h2>
Step-by-step explanation:
5x - 6 = 3x - 6 + 2x <em>combine like terms</em>
5x - 6 = (3x + 2x) - 6
5x - 6 = 5x - 6 <em>subtract 5x from both sides</em>
-6 = -6 TRUE
Therefore the equation has infinitely many solutions.
Answer:
mean
Step-by-step explanation:
<span>
<span>We can
use the Pythagorean Theorem (A² + B² = C²) to solve for the lengths of the
sides. We know that the diagonal, C, is 30 meters long, so C² = 900 meters.
We know that since the park is square, A² + B² = 2A² = 2B²
900 = 2A²
A^2 = 450
Taking the square root of 450, we find that the lengths of A and B are
roughly 21.2 meters.</span>
</span>
It would use 2.83 gallons of gas for a 2 hour trip
The different possible mixtures can you make is 1716
.
<u>Step-by-step explanation:</u>
Given that,
- The total number of flavors available in the shop = 13 flavors
- The number of flavors you need to choose = 6 flavors
Here, we have to use the formula for combination,
nCr = n! / r! × (n-r) !
where,
- n is the total number of flavors
- r is the number of flavors you need to choose
⇒ 13C6 = 13 ! / 6! × (13-6)!
⇒ 13! / (6! × 7!
)
⇒ 13 × 12 × 11 × 10 × 9 × 8 × 7! / (6! × 7!
)
⇒ 13 × 12 × 11 × 10 × 9 × 8 / 6!
⇒ 13 × 12 × 11 × 10 × 9 × 8 / 6 × 5 × 4 × 3 × 2 × 1
⇒ 1716
Therefore, you can 1716 different possible mixtures.
