Question

98 POINTS AND BRAINLIEST FOR FASTEST AND RIGHT ANSWERS!!! 4 MULTIPLE CHOICE QUESTIONS!!!
A company did a quality check on all the packs of trail mix it manufactured. Each pack of trail mix is targeted to weigh 9.25 oz. A pack must weigh within 0.23 oz of the target weight to be accepted. Find the absolute value inequality that describes the situation and solve it to find the range of rejected masses, x.

|x − 0.23| + 9.25 > 0; x < 9.02 or x > 9.48
|x − 9.25| > 0.23; x < 9.25 or x > 9.48
|x − 0.23| + 9.25 > 0; x < 9.25 or x > 9.48
|x − 9.25| > 0.23; x < 9.02 or x > 9.48

Almond trees yield 12 pounds per acre and macadamia nut trees yield 8 pounds per acre. Suppose Pippa's farm has a acres of almond trees, m acres of macadamia nut trees, and yields 250 pounds of nuts. What is the equation that represents this scenario?

8a + 12m = 250
20n = 250
12a + 8m = 250
a + m = 250

One of the fastest recorded speeds of an alligator on land is 8.8 m/s. Approximately, what is this speed in kilometers per hour? [1 kilometer = 1,000 meters] [1 hour = 60 minutes = 3,600 seconds]

2.444 km/h
6.336 km/h
31.68 km/h
0.244 km/h

In a certain county, the number of charter schools is 4 less than twice the number of alternative schools. We know that there are 48 charter schools in the county. How many alternative schools are in the county?

52
22
36
26
(RIGHT ANSWERS ONLY PLEASE!!!)

Answer 1

Answer:

Problem 1. Answer: D

Problem 2. Answer: A

Problem 3. Answer: C

Problem 4. Answer: 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

Answer 2

Answer:

Do the MAth yourself

Step-by-step explanation: