Given:
The ratio of the cost of a shirt to the cost of a jacket is 2:5.
The jacket cost $240 more than the shirt.
To find:
The cost of the shirt and the cost of the jacket.
Solution:
Let x be the cost of the shirt.
The jacket cost $240 more than the shirt. So, the cost of Jacket is (x+240).
The ratio of the cost of a shirt to the cost of a jacket is 2:5. So,
Subtract 2x from both sides.
Divide both sides by 3.
So, the cost of shirt is $160.
Now, the cost of jacket is:
Therefore, the cost of shirt is $160 and the cost of jacket is $400.
Answer:
47.6m.
Step by step solution:
Perimeter of a triangle = base + 2 . length____(1)
Area of a triangle = 1/2 . base . diagonal
108 = 1/2 . base . 15
multiplying both sides by 2:
216 = 15 . base
dividing both sides by 15:
base = 14.4m
But the diagonal divides the triangle into two
right angle triangles each with the same length (hypotenuse),base and diagonal(height).
Taking one right angle triangle:
And using pythagoras theorem;
length² = base² + diagonal ²
length² = 7.2² + 15²
Note: Base of each right angle triangle is 7.2 which would sum up to be 14.4 the base of the full triangle.
length² = 276.84
taking the square root of both sides:
length = 16.6m
Putting the values of the base and length into equation (1).
Perimeter of the triangle = 14.4 + 2 . 16.6
Note: We are dealing with the whole triangle
now hence the base is 14.4m.
Perimeter of the triangle = 14.4 + 33.2 = 47.6m.
Do you have a specific equation I can help you with. I can explain them better with a problem to look at?
Answer:
The answer is $10.80
Step-by-step explanation:
It goes up $0.70 every mile and the flat fee is $3.10.
The equation 3.1 + 0.7(x) when x is the number of miles traveled.
Substitute 11 for x and get 3.1 + 0.7(11).
The answer is $10.80
