74.7 74 = feet 7 = inches (plz vote brainliest if u think i helped!)
Answer: W = 112 carats
Step-by-step explanation: Let W be the original weight.
So we have
W - 45 = 67 add 45 to both sides
And that equals 112 carats
4+3x = (k+2)x + 8
4+2+3x = (k+2)x + 8 - 2
6+3x = (k+2)x + 6
then 3x = k+2
so k = 3X-2
Answer:
<h3>x = 3/2 ± √(61/20)</h3>
Step-by-step explanation:
5x² - 15x - 4 = 0
Add 4 to both sides.
5x² - 15x = 4
The coefficient of 5x² is 5, divide both sides by 5.
x² - 3x = 4/5
The coefficient of -3x is -3. Let b=-3.
Then we need to add (b/2)^2=9/4 to both sides to complete the square.
Add 9/4 to both sides.
x² - 3x + 9/4 = 61/20
Factor left side.
(x-3/2)² = 61/20
Take square root of both sides.
x-3/2 = ± √(61/20)
Add 3/2 to both sides.
x = 3/2 ± √(61/20)
Answer:

The third reading must be between 6.3 and 8.1 inclusive.
Step-by-step explanation:
To find the average of three numbers, add the three numbers and divide by 3.
Let the third reading = p.
The average of the three readings is

This average must be between 7.2 and 7.8 inclusive. "Inclusive" means that the values 7.2 and 7.8 are allowed. That means the average must be greater than or equal to 7.2 and less than or equal to 7.8. We can write this as the following inequality.

Simplify the numerator.

Multiply the three sides by 3.

Subtract 15.3 from the three sides.

Answer: The third reading must be between 6.3 and 8.1 inclusive.