Answer: 91 guests
Step-by-step explanation:
Given the available furniture legs to be 364, where each seat has 4 legs
We will divide 364 by 4 to get the number of available seats.
364/4 = 91 seats
If 91 seats are available and it is set at 1 seat per guest,
Number of guests will be 91 seats/1 = 91, therefore, 91 guests will be available.
Answer:
4(k - 3)(3k + 5)
Step-by-step explanation:
Given
12k² - 16k - 60 ← factor out 4 from each term
= 4(3k² - 4k - 15) ← factor the quadratic
Consider the factors of the product of the coefficient of the k² term and the constant term which sum to give the coefficient of the k term
product = 3 × - 15 = - 45 , sum = - 4
Factors are - 9 and + 5
Use these factors to split the middle term
3k² - 9k + 5k - 15 → ( factor the first/second and third/fourth terms
= 3k(k - 3) + 5(k - 3) ← factor out (k - 3)
= (k - 3)(3k + 5)
Hence
12k² - 16k - 60 = 4(k - 3)(3k + 5) ← in factored form
6. 7/3
8. 7/3
please don't get mad if these answers are wrong
Answer:
-1.575, or -1 575/1000, or -1 23/40
Step-by-step explanation:
Simplify the problem slightly by prefacing it with " - " as follows:
334
- ----------- = -1.575 = -1 23/40
212
