Which situation can be modeled by the inequality 5 + 10w ≥ 45?
A. You start with $5 and save $10 a week until you have at least $45.
B. You start with 5 baseball cards and purchase 10 cards every week until you have at most 45 cards.
C. You start with 5 water bottles and purchase cases of 10 water bottles each until you have a total of 45 water bottles.
D. You spend $5 plus $10 per week until you have less than $45.

The situation can be modeled by the inequality is:

You start with $5 and save $10 a week until you have at least $45 ⇒ A

Step-by-step explanation:

The form of the linear equation is y = m x  + b, where

∵ 5 + 10 w ≥ 45

∵ b + m x ≥ a

∴ b = 5 , m = 10 , ≥ is at least and a = 45

That means:

→ The initial value is 5

→ The rate of change is 10

→ The value is at least 45

∴ You start with $5

∴ You save $10 per week

∴ You have at least $45

The situation can be modeled by the inequality is:

You start with $5 and save $10 a week until you have at least $45.

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841