First one i think not positice
Answer:
Area = 84 in²
Step-by-step explanation:
In order to find the area of the rectangle, you need to first set up an equation to find the length based on the information already given in the problem. Since the perimeter = 40 and the formula to find perimeter of a rectangle is: P = 2W + 2L, where W = width and L=Length, we can solve for 'L' by putting in the values given:
P = 2W + 2L or 40 = 2W + 2(3W - 4)
The length of the rectangle is '4 less than 3 times the width'. This can be written as the expression '3W - 4'.
Distribute: 40 = 2W + 2(3W - 4) or 40 = 2W + 6W - 8
Combine like terms: 40 = 8W - 8
Add '8' to both sides: 40 + 8 = 8W - 8 + 8 or 48 = 8W
Divide both sides by '8': 48/8 = 8W/8 or 6 = W
Solve for L: 3W - 4 or 3(6) - 4 = 18 - 4 = 14
Since L=14 and W = 6, we can solve for Area using the formula: A = LxW or A = (14)(16) = 84in².
Answer:
The porter charges Rs 300 at this rate.
Step-by-step explanation:
We solve this question by proportions, using rule of three.
75 Rs - 4 km - 50 kg
x Rs - 10 km - 80 kg
Relationship between the variables:
As the distance, or the weight increase, the rate will increase. This means that:
The porter charges Rs 300 at this rate.
-1.6 to both sides
-2a=4
Divide both sides by -2
a= -2
Let's say the larger number is x. that means that the smaller number is x - 3. since you know their sum is x + x - 3, and that is equal to 14. so you have the equation x + x - 3 = 14. combine like terms (x) to get 2x - 3 = 14. add three to both sides to get 2x = 17. divide both sides by two to get x = 17/2. so the larger number is 17/2, and the larger number is 11/2 (17/2 - 3 = 11/2)
