Answer:
general rule Un=1.8n-21
U100=1.8(100)-21=159
Step-by-step explanation:
a5=a+4d, a5=-12
a10=a+9d, a10=-3
-12=a+4d
-3=a+9d subtract the system of equations
-9=-5d solve for d
d=1.8
substitute d into first equation to find a
-12=a+4(1.8)
a=-19.2
un. = a + (n − 1)d
Un=-19.2+(n-1)(1.8)
Un=1.8n-21
Circumference of a circle:
C = 2 r π;
Length of an arc:
L = r π α / 180°
L = r π · 30° / 180° = r π /6
r π /6 : 2 r π = 1/6 : 2 = 1/12
Answer: A ) 1/12
Answer:
Step-by-step explanation:
The first or lower quartile is the median of the lower half of the data: 48
Answer:
<u>1. Nora and Lila be on the same page of the book after 6 days and a half.</u>
<u>2. Nora and Lila be on the page 180.</u>
Step-by-step explanation:
1. Let's check the information given to resolve the question:
Current page of the novel that Nora is reading now = 128
Pages per day Nora reads = 8
Current page of the novel that Lila is reading now = 102
Pages per day Lila reads = 12
Days ahead for Nora and Lila will be on the same page = x
2. After how many days of reading will Nora and Lila be on the same page of the book?
128 + 8x = 102 + 12x
8x - 12x = 102 - 128 (Subtracting 12x and 128 at both sides)
-4x = -26
x = 6.5
<u>Nora and Lila be on the same page of the book after 6 days and a half.</u>
<u>3.</u> What page will they be on?
Nora : 128 + 8 (6.5) = 128 + 52 = 180
Lila : 102 + 12 (6.5) = 102 + 78 = 180
<u>Nora and Lila be on the page 180</u>
Answer:
6 weeks
Step-by-step explanation:
Total savings= $325
For every week, his total savings decrease by $28.
Let's form an expression for the amount of money left in his account after w weeks.
325 -28w= 157
28w= 325 -157
28w= 168
<em>Divide by 28 on both sides:</em>
w= 168 ÷28
w= 6
Thus, there are 6 weeks until he has $157.