Answer:
x=3
Step-by-step explanation:
(11-3)+3x+1 = 5x+3
8+3x+1 = 5x+3
9+3x= 5x+3
6=2x
x=3
Answer:
A, B, D are true
Step-by-step explanation:
A) Speed = Distance travelled ÷ time taken
= 112 ÷ 1.75
= 64 miles per hour
True
B) Cost of 6 pens = $7.74
Cost of 1 pen = 7.74 ÷ 6 = $ 1.29
Cost of 7 pens = 1.29 * 7 = $ 9.03
TRUE
C) Speed = 57 miles per hour
4 hour 10 minutes = 250 minutes
Distance traveled in an hour = 57
Distance traveled in 250 minutes = (57* 250) ÷ 60 = 237.50 miles
FALSE
D) Cost of 17 cans = $ 38.59
Cost of 1 can = 38.59 ÷ 17 = $2.27
Cost of 3 cans = 2.27 * 3 = $ 6.81
TRUE
e) Cost of two dozen eggs = $ 8.40
Cost of an egg = 8.40 ÷ 24 = $ 0.35
FALSE
Answer:
227 sides
Step-by-step explanation:
The sum of the interior angles of a convex polygon is S=180(n-2) where n is the number of sides. If S=40500, then we have our equation 40500=180(n-2) and we can solve for n:
40500 = 180(n-2)
225 = n-2
227 = n
Therefore, the number of sides in the regular polygon is 227.
Answer:
0.311 miles
Step-by-step explanation:
Convert 16 seconds to hours :
16 /60×60
= 16÷3600
= .004444hrs
Distance = Speed × time
= 70 × 0.00444444
= 0.311 miles
Answer: the margin of error is 0.02
Step-by-step explanation:
Confidence interval for population proportion is written as
Sample proportion ± margin of error
If the confidence interval for this population proportion is (0.52, 0.56.), it means that the lower boundary is 0.52 and the upper boundary is 0.56
Let x represent the sample proportion and y represent the margin of error. Therefore,
x - y = 0.52
x + y = 0.56
Subtracting the second equation from the first equation, it becomes
- 2y = - 0.04
y = - 0.04/-2
y = 0.02
