Answer:
33 banana muffins
Step-by-step explanation:
11/50 = x/150
50x=1650
50x/50=1650/50
x=33 !
Answer: the bus would be used 30 times for the monthly costs to be the same.
Step-by-step explanation:
Let x represent the number of times in a month for which the bus must be used so the total monthly cost is the same with the book as it is without it.
The bus fare without a coupon book is $1.50. This means that the total monthly cost of using the bus for x times without a coupon book is 1.5x
A coupon book cost $30.00 and with the coupon book, the fare is reduced $0.50. This means that the total monthly cost of using the bus for x times with a coupon book is
0.5x + 30
For the monthly costs to be the same,
1.5x = 0.5x + 30
1.5x - 0.5x = 30
x = 30
H(3.2) represents the height of a rock 3.2 seconds after it is propelled by a slingshot.
Answer:
C. (x +1)(x +3)(x +4)
Step-by-step explanation:
The least common multiple is the product of the unique factors of each of the expressions. To find it, we need to factor each expression and identify the unique factors.
__
<h3>factorization</h3>
x² +4x +3 = (x +3)(x +1)
x² +7x +12 = (x +3)(x +4)
<h3>LCM</h3>
The unique factors are (x +1), (x +3), (x +4). The LCM is their product:
LCM = (x +1)(x +3)(x +4)
_____
<em>Additional comment</em>
The positive sign of the constant (+3, +12) in each case tells you that the constants in the binomial factors will have the same sign. The positive sign of the linear term (+4x, +7x) in each case tells you the binomial factors will have constants with a positive sign. So, all of the answer choices that have negative constants can be eliminated.
