p(coin is tail) = 1/2
p(spinner is odd) = 4/7
p(odd and tail) = 1/2 x 4/7 = 4/14 = 2/7
Answer: (A) 2/7
Multiply both sides of the second equation by 100 to get rid of the decimals:
0.05<em>n</em> + 0.10<em>d</em> = 1.50
==> 5<em>n</em> + 10<em>d</em> = 150
Multiply both sides of the first equation by -5:
<em>n</em> + <em>d</em> = 21
==> -5<em>n</em> - 5<em>d</em> = -105
Add the two equations together:
(5<em>n</em> + 10<em>d</em>) + (-5<em>n</em> - 5<em>d</em>) = 150 + (-105)
Notice that the terms containing <em>n</em> get eliminated and we can solve for <em>d</em> :
(5<em>n</em> - 5<em>n</em>) + (10<em>d</em> - 5<em>d</em>) = 150 - 105
5<em>d</em> = 45
<em>d</em> = 45/5 = 9
Plug this into either original equation to solve for <em>n</em>. Doing this with the first equation is easiest:
<em>n</em> + 9 = 21
<em>n</em> = 21 - 9 = 12
So Donna used 12 nickels and 9 dimes.
Answer:
-1 2/27
Step-by-step explanation:
-1 1/2 × 5/6 + 3/14 ÷ 3/7 + 3/2 × 1/2
= -1 1/4 + 3/14 ÷ 1 13/14 × 1/2
= - 1 1/28 ÷ 27/28
= -1 2/27
Given the function . The above function can be written as
a)Now, the function has minimum value since the coefficient of is .
b) The minimum value of the function occurs at and its value is
c)The minimum value of the function occurs at .
That don’t even look like a real problem.