Answer:
<em>The smallest number of boats that must be produced to make a profit of $ 75,000 is 10 boats</em>
Step-by-step explanation:
We have this equation
This equation shows the income obtained based on the number of boats sold. We want to know the minimum number of boats that must be sold to obtain $ 75 000.
Then we must equalize the equation to 75 000 and clear b.
3 solutions will be obtained (because it is a polynomial of degree 3), and the lowest value will be taken.
Now we need to solve the equation, for that we seek to factor the polynomial
We divide the equation by -25
We take common factor b
We take out common factor ()
Finally the solutions are:
and
We take the least positive solution (because you can not produce -10 boats)
Finally we have that
Answer:16
Step-by-step explanation:
x-9=7
16-9=7
7=7
x=16
Split this figure into 3 triangles and 1 rectangle. Then calculate area of each shape.
1/2(2)(7) = 71/2(7)(3) = 10.51/2(3)(4) = 63 x 4 = 12
area of this polygon:7 + 10.5 + 6 + 12 = 35.5
answer35.5 units²
when a line intersects 2 parallel line then there are some rules they follows
There are eight angles will together form four pairs of corresponding angles. Corresponding angles are congruent.
see the attached image.
in that
1 = 5
4 = 8
2 = 6
3 = 7
these are corresponding angles
also
1 = 3
2 = 4
5 = 7
6 = 8
these are opposite angles.
from above we can deduce
2 = 8
3 = 5
these called interior angles.
so in your question
angle ABC + angle CBD = 180
angle ABC + 100 = 180
angle ABC = 180-100= 80
now
Angle EFB = angle ABC
because corresponding angles.
so x = 80
4 kilometres is 4000 meters
4000 meters - 3400 meters = 600 meters
and as John is the one that rode 4 kilometres he rode further and by 600 meters