Download 36. Solve the equation B=1/4m (r + z) for r R= ? Depending on the

36. Solve the equation B=1/4m (r + z) for r R= ?
Depending on the correct expression for B:
B=
r+z
4m
4mB = r + z
r = 4mB " z
or
!
B=
1
m( r + z)
4
4B
=r+z
m
r=
4B
"z
m
! the grade point average. Assume that the grade point values are 4.0 for an A, 3.0
37) Find
for a B, and so on.
Grades of a credit hours
B2
B5
B2
C5
The grade point average is =
GPA =
!
Total Grade Points 3(2) + 3(5) + 3(2) + 2(5) 37
=
=
= 2.64
Total Credit Hours
2+5+2+5
14
38). Convert to Fahrenheit
Use the formula F=9/5* C+ 32
66degree celsius is = to what Fahrenheit
9
9
F = C + 32 = (66) + 32 = 150.8 º F
5
5
!
39). Convert to Celsius. Use the Formula
C= 5/9 X (F-32)
47 degree F is equals to = C degree?
C=
5
5
(F " 32) = (47 " 32) = 8.3 º C
9
9
40). The formula M=t/5 can be used to determine how far M, in miles, you are from
! lightning when its thunder takes t second to reach your ears. Doppler radar shows an
electrical storm 1.5 miles away. If you see the lightning from this storm, how long will it
be before you hear the thunder?
How many seconds.
1.5 = t/5
t = (1.5)(5) = 7.5 seconds
41). Determine whether the given numbers are solution of the inequality.
x-3=8; -2,0,4, 20
Is -2 a solution. Yes or No.
What is the inequality here?
42). Decide whether the given value for the variable is a solution to the inequality.
5t-5>8t-(2t + 9) t= -1
Is the given value a solution of the inequality. Yes or No.
5(-1) – 5 > 8(-1) – [2(-1)+9]
-5 – 5 > -8 – [-2 + 9]
-10 > -8 – 7
-10 > -15
This is a valid statement, so t = -1 is a solution to the inequality.
43). Use the addition property of inequalities to solve the inequality. Graph the solution
set. X+ 9 > 3
x+9>3
x>3–9
x > -6
The solution is {x/x. ? }
{ x | x > -6 }
The graph will have an open circle or left parenthesis at -6, and an arrow pointing
to the right.
44). Solve the inequality
9-3 x = - 6
What is the inequality here?
45). Use the multiplication property of inequality to solve the inequality. Express the
solution set in set-builder notation and graph the set on a number line.
6x < 18
Answer is { x/ ? }
{x|x<3}
The graph will have an open circle or right parenthesis at 3, and an arrow point
to the left.
46). Use the multiplication property of inequalities to solve the inequality. Then graph the
solution set
-16 x – 48
What is the inequality here?
47). Solve using the addition and multiplication principles.
+ 5 x -2(x-7) + 7
There is no equal sign here, so there is nothing to solve.
However, assuming that this is supposed to be 5 x -2(x-7) = 7,
Then
5x – 2x + 7 = 7
3x = 7 – 7
3x = 0
x=0
50). The cost to produce one compact disc is $1.75 plus a one-time fixed cost of $2800.
The revenue received from selling one compact disc is $12.00
a). Write a formula that gives the cost C of producing x compact discs. Be sure to include
the fixed cost.
C = 1.75x + 2800