Answer:
Step-by-step explanation:
Let D be Daniel's present age, then we can represent Kevin's present age as 3D because Kevin is 3 times as old as Daniel.
We can write an expression for Daniel's age 4 years ago as D-4 and Kevin's age 4 years ago as 3D-4.
We are told that 4 years ago Kevin was 5 times as old as Daniel. We can write this information as:
Now let us solve our equation to find Daniel's present age.
Daniel's present age is 8 years. Now we will multiply 8 by 3 to get Kevin's present age as Kevin is 3 times old as Daniel.
Therefore, Kevin is 24 years old now.
Answer:
From least likely to most likely:
Colorado Bronze wins
I Am Pat wins
Good Legs Lance wins
Step-by-step explanation:
Converting all probabilities to the same type may be easier to visualize and see the chances. Let's convert each chance to percentage:
P(I Am Pat wins) = 3/10 = <u>30%</u>
P(Good Legs Lance wins) = 0.6 = <u>60%</u>
P(Colorado Bronze wins) = 10%= <u>10%</u>
Thus, the desired order is:
Colorado Bronze wins
I Am Pat wins
Good Legs Lance wins
Answer:
<u>Infotron should produce each day 13 hockey and 6 soccer games</u>
Step-by-step explanation:
x = Number of hockey games Infotron should produce
y = Number of soccer games Infotron should produce
Number of labor-hours for assembly = 2x + 3y
Number of labor-hours for testing = 2x + y
Now we can write our equations system, this way:
2x + 3y = 44
2x + y = 32
*********************
Expressing y in terms of x in the 2nd equation:
2x + y = 32
y = 32 - 2x
********************
Substituting y and solving for x in the 1st equation:
2x + 3y = 44
2x + 3 * ( 32 - 2x) = 44
2x + 96 - 6x = 44
-4x = 44 - 96
-4x = - 52
x = -52/-4
x = 13
*****************
Solving for y in the 2nd equation:
2x + y = 32
2 * 13 + y = 32
26 + y = 32
y = 32 - 26
y =<u> 6</u>
<u>Infotron should produce each day 13 hockey and 6 soccer games</u>
Answer:
(3, - 4)
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ), hence
(- 3, 4 ) → (3, - 4 )
