Answer:
Step-by-step explanation:
x - 3y -15
x = -3
Answer:
Step-by-step explanation:
- speed = distance / time
- time = distance / speed
a)
i)
<u>Time taken at the first part:</u>
ii)
<u>Time taken at the second part:</u>
- (190 - 105) / (x + 12) =
- 85/(x + 12)
b)
<u>If time is 3 hours and 15 minutes = 3 1/4 hours = 13/4 hours, the equation is:</u>
- 105/x + 85/(x + 12) = 13/4
- 4(x + 12)*105 + 4(85x) = 13x(x + 12)
- 13x² - 604x - 5040 = 0
c)
<u>Solve the equation:</u>
- 13x² - 604x - 5040 = 0
- x = [604 ± √((-604)² + 4*13*5040) ]/26 =
- [604 ± √626896]/26 =
- [604 ± 791.77]/26
- x = (604 + 791.77)/26 = 53.68 km/h (taking positive root only)
d)
- 105/x = 105/53.68 h = 1.956 h = 1 h 0.956*60 min = 1 h 57 min (rounded)
- 85/(53.68 + 12) = 85/65.68 = 1.294 h = 1 h 0.294*60 min = 1 h 18 min (rounded)
Answer:
189 gallons
Step-by-step explanation:
7 gallons for 3 classrooms, so 7/3 for 1 classroom
multiply 7/3 * 129 to get 301 gallons at North High School
multiply 7/3 * 48 to get 112 gallons at Edgewater Elementary
301 - 112 = 189 gallons more at North High School than at Edgewater Elementary
Answer:
3 7/8 cups plants food
Step-by-step explanation:
peat moss = 3 ½ cups
compost = 5 ¼ cups
fertilizer = 6 ¾ cups
Total mixture = peat moss + compost + fertilizer
= 3 ½ cups + 5 ¼ cups + 6 ¾ cups
= 7/2 + 21/4 + 27/4
= 14+21+27/4
= 62/4
Total mixture = 62/4 cups
She evenly distributed the plant food among 4 rose bushes
Each rose bush uses = Total mixture / number of rose bushes
= 62/4 ÷ 4
= 62/4 × 1/4
= 62/16
= 3 14/16
= 3 7/8 cups plants food
Each rose bush uses = 3 7/8 cups of plants food
The answer is given above
