when the length of a rectangle is X inches and the width is y inches, the perimeter is 30 inches. if the length is tripled and the width is quadrupled the perimeter becomes 102 inches. find the length and width of the original rectangle
Answers
P1=2x+2y=30
after modify them
P2=2*3x+2*4y=102
6x+8y=102
2x+2y=30 / * (-3)
-6x-6y= -90
6x+8y=102
we must add the 2 expressions
/ 8y-6y=102-90
2y=12
y=12:2
y=6
2*x+2*y=30
2x+2*6=30
2x+12=30
2x=30-12
2x=18
x=18:2
x=9
Related Questions
Gail has a rectangular rug. The diagram bellows shows the dimensions of Gail's rug. What is the area of Gail's rug?A) 7 3/4 square feet B) 10 3/4 square feet C) 13 3/4 square feet D) 15 1/2 square feet
Which fraction is greater than - 5/16? A . - 1/4B. -11/32C. - 3/8D. - 1/2
Please help :-( thanks
How can greatest common factors and least common multiples help you work with fractions ?
Answers
Answers
Answer:
y = 7.50 + 1.50x
Step-by-step explanation:
The admission costs $7.50 and after x hours Jon has to pay $1.50*x. Then the cost y in dollars is
y = 7.50 + 1.50x where x is the number of hours.
Answers
Answer:
-3 and 3
Step-by-step explanation:
Answers
Answers
Answer: 6720
Step-by-step explanation:
The number of permutations of n things taken r at a time is given by the following formula:
Similarly, for n=8 and r=5, the number of permutations of 8 things taken 5 at a time will be:
Hence,
The permutation is solved and the expression is ⁸P₅ = 6,720
Given data ,
The notation "8P5" represents the permutation of 8 objects taken 5 at a time.
The formula for permutation is given by: P(n, r) = n! / (n - r)!
Using this formula, we can calculate ⁸P₅ as follows:
permutation ⁸P₅ = 8! / (8 - 5)!
⁸P₅ = 8! / 3!
⁸P₅ = (8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) / (3 * 2 * 1)
⁸P₅ = 8 * 7 * 6 * 5 * 4
permutation ⁸P₅ = 6,720
Therefore, the expression ⁸P₅ is equal to 6,720
Hence , the permutation is solved
To learn more about permutation click :
#SPJ6
Answers
I think its $106.5 just add 17.75 6 times