Answer:
The cost of each share in the software company is $25 and the cost price each share in biotechnology is $33.
Step-by-step explanation:
Let The cost of each share in the software company be = x
and each share in biotechnology be = y
The cost price of 14 shares in the software company and 14 share in biotechnology is = 14x+14y
The cost price of 100 shares in the software company and 99 share in biotechnology is = 100x + 99y
According to the problem,
14x + 14y= 812
⇔x+y = 58..........(1)
and
100x + 99y=5767..........(2)
Equation (1) ×100 - Equation (2)
100x +100y -(100x+99y) = 5800-5767
⇔100x +100 y -100x-99y=33
⇔y=33
putting the value of y in equation (1)
x+33=58
⇔x=58-33
⇔x=25
The cost of each share in the software company is$25 and the cost price each share in biotechnology is $33.
Answer:
Each base angle is 81°
Step-by-step explanation:
A pennant is in the shape of an isosceles triangle and the vertex angle is 18°.
An iscosceles triangle has two equal sides and two equal angles.
So assuming the base angles measure b° each;
b° + b° + 18° = 180° (angles in a triangle add up to 180°)
2b° = 180° - 18° = 162°
b = 162° ÷ 2 = 81°
So each base angle is 81°
Answer: there is no x
Step-by-step explanation:
5x + 3(×)= 10x -2x -37
Open the bracket
5x + 3×= 10x -2x -37
Combine like terms
8x= 8x-37
8x - 8x = -37
0 = -37
ANSWER
C. 35 men
EXPLANATION
Let m represent the number of men needed and d represent the number of days.
From the question,the number of men needed varies inversely to the time needed to complete the project.
We can write the inverse variation equation.

where k is the constant of variation.
When m=28, d =90.
We substitute these values into the variation equation to determine the value of k.



Now the equation becomes:

When d=72,


Therefore he needs to have 35 men working.
Answer:
x=3/5
Step-by-step explanation:
Since its undefined, the equation will use an x variable because all points on the line have (3/5,y).