Howard needs to buy pens and pencils for work. Pens cost $0.40 each and pencils cost 50.25 each. He needs to buy at least 340 pens and pencils combined, while spending no more than $100. If x represents the number of pens and y represents the number
pencils, which TWO statements are correct?
A)
x = 40 and y - 320 is a viable solution
B)
X = 100 and y = 260 is a viable solution
C)
x + y = 340 and 0.40x +0.25y 2 100 models the situation
D
-* + y 2 340 and 0.40x + 0.25y = 100 models the situation
E
x + y2 340 and 0.40% +0.25y 2 100 models the situation

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation:

linear pair postulates

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: