Answer: x=10
Step-by-step explanation:
The angles added together are going to be 360
360=120+11X+13X
240=24x
x=10
Answer:
x = 5
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = 
bh ( b is the base and h is height )
Here A = 20, b = (x + 3) and h = (2x - 5) , then
(x + 3)(2x - 5) = 20 ← multiply both sides by 2
(x + 3)(2x - 5) = 40 ← expand left side using FOIL
2x² + x - 15 = 40 ( subtract 40 from both sides )
2x² + x - 55 = 0 ← in standard form
(x - 5)(2x + 11) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
2x + 11 = 0 ⇒ 2x = - 11 ⇒ x = - 5.5
But x > 0 , so x = 5
Answer:
The correct answer would be, No of bracelets the company must sell to break even would be 15
Step-by-step explanation:
Revenue is given by the function as:
R(x) = 20x
and Cost is given by the function as:
C(x) = 180 + 8x
Let the function P(x) represent the profit earned.
We know that Profit is equal to Revenue - Cost
i-e
Profit = Revenue - Cost
So,
P(x) = R(x) - C(x)
Now substituting the Revenue and cost values in the above equation.
P(x) = 20x - (180 + 8x)
P(x) = 20x -180 -8x
P(x) = 20x - 8x -180
P(x) = 12x - 180
Now if we want to find out the break even point, we would consider profit as Zero, 0. So substituting 0 in the above equation for Profit, we will get:
0 = 12x - 180
12x = 180
x = 180/12
x = 15
So the break even point will be 15 bracelets.
Answer:
The number of years it will take for them to be the same height is 6 years
Step-by-step explanation:
Here we have a question relating to optimization
Let the number of years at which they will be the same height be M
we then have
2 ft + (25/12 × M) ft= 10 ft + (9/12 × M) ft which gives
→ (25/12 × M) ft - (9/12 × M) ft = 10 ft - 2 ft
→ (25/12 × M) ft - (9/12 × M) ft = 8 ft
→4/3 M ft = 8 ft
Therefore, M = (8 ft)÷(4/3 ft) = 6
Therefore, it will take 6 years for them to be the same height.
