# Question 9 (1 point) write and solve an inequality or multiple inequalities to describe the possible values of x. m 102 8 (7x+4)

70-40=6(x)

'x' is the number of questions that must be answered

Step-by-step explanation:

Problem 1. D

Problem 2. A

Problem 3. C

Problem 4. D

Step-by-step explanation:

Problem 1:

A pack is targeted to weigh 9.25 oz.

A pack can be up to 0.23 oz off, either over or under weight.

The pack cannot weigh less than 9.25 oz - 0.23 oz or more than 9.25 oz + 0.23 oz.

The following compound inequality represents the rejected weights.

x < 9.25 - 0.23 or x > 9.25 + 0.23

Subtract 9.25 from both sides of both inequalities.

x - 9.25 < -0.23 or x - 9.25 > 0.23

Change to an absolute value inequality.

|x - 9.25| > 0.23

x - 9.25 < -0.23 or x - 9.25 > 0.23

x < 9.02 or x > 9.48

Problem 2:

Almond trees produce 12a

Macadamia nut trees produce 8m

Yield is 250

12a + 8m = 250

Problem 3:

8.8 m/s converted into km/h

1000 m = 1 km

60 sec = 1 min

60 min = 1 hr

8.8 m/s * (1 km)/(1000 m) * (60 s)/(1 min) * (60 min)/(1 hr) =

= 31.68 km/h

Problem 4.

Let number of alternative schools be a.

Let number of charter schools be c.

"the number of charter schools is 4 less than twice the number of alternative schools"

c = 2a - 4

There are 48 charter schools, so c = 48. Now we solve for a.

48 = 2a - 4

52 = 2a

a = 26

x < 5.1

Step-by-step explanation:

Let's define:

α: opposite angle to side 8 on the left triangleβ: the angle between sides 8 and 10 on the left trianglex: missing side of both trianglesUsing Law of Sines we can find x, as follows:

10/sin(95°) = 8/sin(α)

sin(α) = sin(95°)*8/10

α = arcsin(0.8) = 53.13°

β = 180° - 95° - 53.13° = 31.87°

x/sin(β) = 10/sin(95°)

x = 10/sin(95°)*sin(31.87°)

x = 5.3

On the other hand, we know that the addition of the two shorter sides of a triangle must be greater than the long side of the triangle. Therefore:

8 + 5.3 > 3x - 2

Solving:

8 + 5.3 + 2 > 3x

15.3/3 > x

5.1 > x

or

x < 5.1

If Sara wants to score at least 70 points, she needs to score at least 30 more points. To find how many open ended questions she needs to answer, you need to divide the remaining number of points by the number of points an open ended question is worth. The number we get will be x.

30/5 = 6

This means Sara must complete at least 6 open ended questions to score 70. Now all we have to do is figure out which inequality sign to use. Since Sara wants to score more than 70 points, it should be the "greater than" sign.

Your answer is: x>6 (The first selection)

Hope this helps! :)