Answer:
Step-by-step explanation:
area of smaller triangle=96×(3/12)²=96×1/16=6cm²
21x -15 + 5 = 10x - 5
21x -5 = 10x
11x = 5
x = 5/11
I'm going to assume that the question should say “at a profit of 5%”.
Restate question in the form of a equation.
Let C = the cost price of the item.
C + 0.705 C = C - 0.05 C + Rs 50
0.05 C = - 0.05 C + Rs 50
0.10 C = Rs 50
C = Rs 500
The cost price of the item is Rs 500
I hope this help you
Let the area of the original rectangle be A₁.
A₁ = (12 ft)(8 feet) = 96 ft²
To determine the area of the reduced triangle, let's compute the new dimensions first.
Length = 12 ft * 3/4 - 9 ft
Width = 8 ft *3/4 = 6 ft
Thus, the area of the new rectangle denoted as A₂ is
A₂ = (9 ft)(6 ft) = 54 ft
The ratio of the areas are:
A₂/A₁ = 54/96 = 9/16
The ratio of the sides are given to be 3/4.
Finally the ratios of the area to side would be:
Ratio = 9/16 ÷ 3/4 = 3/4
Therefore, the ratio of the areas is 3/4 of the ratio of the corresponding sides.
Answer:
Expand the brackets, and simplify.
(4t - 8/5)-(3-4/3t) = (4t +4/3t) + ( -8/5 - 3) = 5 1/3t - 23/5 = 16/3t - 23/5
5(2t + 1) + (-7t + 28) = 10t + 5 - 7t + 28 = 3t + 33
(-9/2t + 3) + (7/4t + 33) = (-9/2t + 7/4t) + (3 + 33) = -11/4t + 36
3(3t - 4) - (2t + 10) = 9t - 12 - 2t - 10 = 7t - 22