Answer:
11x+5.25
Step-by-step explanation:
Open the brackets
1/2 x 10x= 5x, 1/2 x 6 =3
3/4 x 8x=6x, 3/4 x 3 =2.25
Like terms together
5x + 6x + 3 + 2.25
Answer
11x + 5.25
Answer:
$4.1
Step-by-step explanation:
To find the Unit Rate, you have to find how much it cost of 1 lb. So, you have to divide 16 and 3.99
16/3.99
= 4.01002506
≈ $4.1
Answer:
the answer is A.
Step-by-step explanation:
We need the total count of persons = 10+12+12+15 = 49 persons
We need the count of the target group, female or teaching assistants
= (10+12) professors + 12 male teaching assistants
= 22+12
= 34 persons
Assuming equal probability of choosing anyone from the 30 persons, the
probability of choosing a professor or a male
= 34/49
(For probability calculations, try to keep a fraction for as long as you can, because fractions are exact. Decimal are frequently approximate, for example in this case, 34/49=0.693877551020...... = 0.694 approximately)
Answer:
The correct option is A.
Step-by-step explanation:
If a line passes through two points
and
, then the equation of line is
![y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%28x-x_1%29)
Let y be the profit (in millions) after x years.
From the given graph it is clear that the line passes through the point (1,-100).
The company paid for these costs and made combined profits of $80 million after 4 years. It means the graph passes through the point (4,80).
The line passes through (1,-100) and (4,80). So, the equation of line is
![y-(-100)=\frac{80-(-100)}{4-1}(x-1)](https://tex.z-dn.net/?f=y-%28-100%29%3D%5Cfrac%7B80-%28-100%29%7D%7B4-1%7D%28x-1%29)
![y+100=\frac{180}{3}(x-1)](https://tex.z-dn.net/?f=y%2B100%3D%5Cfrac%7B180%7D%7B3%7D%28x-1%29)
![y+100=60(x-1)](https://tex.z-dn.net/?f=y%2B100%3D60%28x-1%29)
![y+100=60x-60](https://tex.z-dn.net/?f=y%2B100%3D60x-60)
Subtract 100 from both sides.
![y+100-100=60x-60-100](https://tex.z-dn.net/?f=y%2B100-100%3D60x-60-100)
![y=60x-160](https://tex.z-dn.net/?f=y%3D60x-160)
The function form is
![f(x)=60x-160](https://tex.z-dn.net/?f=f%28x%29%3D60x-160)
Therefore, the correct option is A.