Xis greater than y by 12 and z is less than y by 8. if the ratio of x: z is 9: 4. what is the value of z? a)12 b) 16 c) 20 d) 36 e) none of these

B

Express x and z in terms of y

x = y + 12 and z = y - 8

Express the ratio x : z as equivalent fractions

= ( cross-multiply )

9(y - 8) = 4(y + 12) ( distribute both sides )

9y - 72 = 4y + 48 ( subtract 4y from both sides )

5y - 72 = 48 ( add 72 to both sides )

5y = 120 ( divide both sides by 5 )

y = 24 ⇒ z = 24 - 8 = 16

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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$54.99

step-by-step explanation:

$54.99 includes 500 min. if she does not exceed 500 min then her bill is $54.99