How can you write the expression with a rationalized denominator? 2 + sqrt 5 / 2 - sqrt 5 a. -1 b. 1 c. 9 + 4 sqrt 5 d. -9 - 4 sqrt 5

Afurniture manufacturer produces chairs and sofas. each chair requires 10 yards of fabric, and each sofa requires 20 yards of fabric. the manufacturer has 300 yards of fabric available. to fulfill orders, the number of sofas must be at least twice the number of chairs. let x be the number of chairs and y the number of sofas. which inequalities are described in the problem? check all of the boxes that apply

Prove that the sum of two consecutive exponents of the number 5 is divisible by 30.if two consecutive exponents are 5n and 5n + 1, then their sum can be written as 30.

The vet charges $45 for an office visit and $10 for each vaccination your dog needs. write an eaquation