Answer:
answer ; https://socratic.org/questions/a-discounted-concert-ticket-costs-14-50-less-than-the-original-price-p-you-pay-5#585652
Step-by-step explanation:
Answer:12m
Step-by-step explanation:
Because you are given that this is a right angled triangle, you can apply the pythagoras theorem where a^2 = b^2 + c^2
15^2 = 9^2 + x^2
225-81 = x^2
144 = x^2
x = 12m
Answer:
The length = 20
The width = 12
Explanation:
Let the Length of the garden be L and the Width W
Therefore the area of the garden = L*W
But we know that L = W + 8
Therefore the area of the garden can be expressed as W*(W + 8)
When the brackets are expanded this equals W^2 + 8W
The area of the recctangle which includes the path and garden will have a length of L + 8 (ie the length of the garden + 4 feet at the top and 4 feet at the bottom)
The width will be W + 8 (width of garden + 4 feet at the left and 4 feet at the right)
Therefore the area will be (W + 8)*(L +8)
Once again we know that L = W + 8
Therefore the area of the path/garden = (W +8)(W +8 +8)
=(W +8)(W +16)
=W^2 +24W + 128
We know that the path alone has an area of 320 square feet. Therefore if we subtract the area of the garden (W^2 + 8W) from the area of the path/garden the area left is the area of the path only
Therefore W^2 + 24W + 128 - (W^2 + 8W) = 320
W^2 + 24W + 128 - W^2 - 8W = 320
Simplify
16W + 128 = 320
Subtract 128 from both sides of the equation
16W = 192
divide both sides of the equation by 16
W = 12
As L = W + 8
L = 12 + 8 = 20
Series is 15, 12, 9…,
Difference between terms is 3
By Arithmetic progression
a_{n}=a_{1}+(n-1)d
a_n = the nᵗʰ term in the sequence
a_1 = the first term in the sequence
d = the common difference between terms
So nth term is a(n) = 15 + (n-1)*3
= 15+ 3n -3
= 12 + 3n
Answer:
$320
Step-by-step explanation:
To find the original price, divide 240 by 0.75
240/0.75
= 320
So, the original price is $320
