Could someone please check my questions? My answers are under the questions... and any help will be greatly appreciated
33. Jane works at the public library after school. She makes $7.00 per hour. She cannot work more than 15 hours per week. If y = 7x represents Jane's earning, what are the values in the solution set?
a. x < 15
b. 0 < x < 15
c. 1 < x < 15
d. All real numbers
My Answer~ a
34. Matty jogs 9 km/hr. Identify the correct conversion factor setup required to compute Matty's speed in m/s.
a. 9 km x 1000 m x 1 hr x 60 sec
1 hr 1 km 60 min 1 min
b. 9 km x 1000 m x 1 hr x 1 min
1 hr 9 km 60 min 60 sec
c. 9 km x 1000 m x 1 hr x 60 sec
1 hr 9 km 60 min 1 min
d. 9 km x 1000 m x 1 hr x 1 min
1 hr 1 km 60 min 60 sec
My Answer~ b
35. Mr. Dunbar's math class averaged poorly on a test, so he gave them a retest. If every person in the class scored 5 points higher on the retest, how would the RANGE of the retest scores differ from the RANGE of the scores on the first test.
a. The ranges would be the same.
b. The range on the retest would be 5 points higher.
c. The range on the retest would be 10 points higher.
d. The range on the retest would be 20 points higher.
My Answer~ b
36. A student scored an 88, 92, and 76 on three math tests. What does the student need to get on the fourth test to have an average of 85 for all four tests? Joseph wants to use algebra to solve this problem. Which equation should he use? (NOTE: The answers with the “4” or/and “3” under them are fractions)
a. 4x = 256/85
b. 256 + x = 85
4
c. 85 + x = 25
4
d. 256 = 85x
3 4
My answer~d
37. Which equation describes the proportion: The number of chickens (C) is four times as many the number of horses (H) on the farm.?
a. C = 4
H
b. C = ¼
H
c. H = C + 4
d. C = H + 4
My Answer ~ a
38. Given 3x – y = 8. Solve for x.
a. x = (8 - y)/3
b. x = (8 + y)/3
c. x = -8 – 3y
d. x = -8 + 3y
My Answer~ a
33. To find the solution set for Jane's earnings, we need to solve the equation y = 7x, where y represents Jane's earnings and x represents the number of hours she works. Dividing both sides of the equation by 7, we get x = y/7. Since Jane cannot work more than 15 hours per week, the solution set for x is x < 15. Therefore, the correct answer is a.
34. To convert Matty's speed from km/hr to m/s, we need to multiply by the appropriate conversion factor. The correct setup for the conversion is 9 km/hr x (1000 m/1 km) x (1 hr/60 min) x (1 min/60 sec). Simplifying this expression, we get 9 x 1000 x 1 x 1 / 1 x 60 x 60, which equals 2.5 m/s. Therefore, the correct answer is option b.
35. If every person in the class scored 5 points higher on the retest, it means that the range (the difference between the highest and lowest scores) of the retest scores would be 5 points higher compared to the first test. Therefore, the correct answer is b.
36. In order to find out what the student needs to score on the fourth test to have an average of 85 for all four tests, we need to set up an equation. Let x represent the score on the fourth test. The average of four tests can be calculated by adding up the scores and dividing by 4. So, (88 + 92 + 76 + x)/4 = 85. Multiplying both sides of the equation by 4, we get 88 + 92 + 76 + x = 340. Simplifying, we get x = 340 - 88 - 92 - 76 = 84. Therefore, the correct answer is d.
37. The equation that describes the given proportion "The number of chickens (C) is four times as many as the number of horses (H) on the farm" is C = 4H. Therefore, the correct answer is a.
38. To solve for x in the equation 3x - y = 8, we need to isolate the x term. Adding y to both sides of the equation, we get 3x = 8 + y. Dividing both sides of the equation by 3, we get x = (8 + y)/3. Therefore, the correct answer is a.