Answer: Length = 15 meters
Width = 2 meters
Step-by-step explanation:
Perimeter of a rectangle = 2l + 2w
Area of a rectangle = l × w
where l = length
w = width
Therefore,
2l + 2w = 34 ...... i
l × w = 30 ........ ii
From equation i
2l + 2w = 34
Divide through by 2.
l + w = 17 ...... iii
Then, l = 17 - w ........ iv
Put equation iv into ii
l × w = 30
(17 - w) × w = 30
17w - w² = 30
w² - 17w + 30 = 0
w² - 15w - 2w + 30 = 0
w(w - 15) - 2(w - 15) = 0
(w - 2) = 0
w = 0 + 2 = 2
w - 15 = 0
w = 0 + 15 = 15
Length = 15 meters
Width = 2 meters
The student would earn %86. To calculate percentage you take the amount of questions correct, divide that by the amount of questions given, multiply by 100 and round to the nearest percent.
Answer:
Option three
Step-by-step explanation:
Answer:
60 ; - 40 ; 22 ; - 11
Step-by-step explanation:
Given that:
Number of questions = 20
Rules :
Every correct answer scores 3 points.
Each incorrect answer loses 2 points.
A question not answered scores 0 points.
It is possible to finish the quiz with a negative score.
a)
Maximum score : answering all questions correctly :
(3 points * 20 questions)
= 3 * 20
= 60 points
b)
Minimum score is obtainable by answering all questions incorrectly ;
(-2 points * 20)
= - 40 points
c)
10 correct answers = (3 * 10) = 30 points
(14 - 10) = 4 incorrect answers = (-2 * 4) = - 8 points
Net total = 30 + (-8) = 30 - 8 = 22 points
d) Another student answers 18 questions,
5 are correct. How many points does she score?
5 correct answers = (5 * 3) = 15 points
(18 - 5) incorrect answers = (13 * - 2) = - 26 points
Net total = 15 + (-26) = - 11 points
28.50x + 110.99(14-x)=811.45
distribute
28.50 x + 1553.86-110.99x =811.45
combine like terms
-82.49x+1553.86=811.45
subtract 1553.86 from each side
-82.49x =-742.41
divide by -82.49
x=9
He bought 9 of the 28.50 features and 5 of the 110.99 features
