Answer:
x = -3
Step-by-step explanation:
2x + 9 = 3
2x = 3 - 9
2x = -6
x = -3
Answer:
(A)The northern lighthouse is 8.2 miles closer than the southern lighthouse.
Step-by-step explanation:
The triangle attached represents the given problem.
First, let us determine the distance of the Boat from each of the lighthouse.
In Triangle ABC,
∠A+∠B+∠C=180 degrees
21+∠B+16=180
∠B=180-37=143 degrees.
Using Law of Sines
Similarly
Difference in Distance =35.73-27.48=8.25 miles
Therefore, the northern lighthouse is 8.2 miles closer than the southern lighthouse.
Answer:
The proportion of people who were caught after being on the 1010 Most Wanted list would be 40.81%.
Step-by-step explanation:
Since the FBI wants to determine the effectiveness of their 1010 Most Wanted list, and to do so, they need to find out the fraction of people who appear on the list that are actually caught, supposing a sample of 517517 suspected criminals is drawn, and of these people, 211211 were captured, to estimate the proportion of people who were caught after being on the 1010 Most Wanted list using this data, the following calculation must be performed:
517,517 = 100
211,211 = X
211,211 x 100 / 517,517 = X
21,121,100 / 517,517 = X
40.81 = X
Therefore, the proportion of people who were caught after being on the 1010 Most Wanted list would be 40.81%.
Answer:$400
Step-by-step explanation:
Let them original price be cp
Selling price=340
Percentage decrease=15
Percentage decrease=(cp-sp)/sp x 100
15=(cp - 340)/cp x 100
Cross multiplying
15cp=100(cp-340)
Opening brackets
15cp=100cp-34000
Collect like terms
100cp-15cp=34000
85cp=34000
Divide both sides by 85
85cp ➗ 85=34000 ➗ 85
cp=400
