Answer:
59 1/11 %
Step-by-step explanation:
13 chocolate and 9 vanilla = 22 total cupcakes
Percent chocolate = 13 chocolate / 22 total
=13/22
=.59090909
=59 1/11 %
<span>Sin (x) = Cos (90 - x)</span>
<span>sin(2A) = cos (90 - 2A)
=cos (3A)
90 - 2A = 3A
5A=90
A=18</span>
Answer: Mr Brust snored a total of 19,840 times last summer
Step-by-step explanation:
Mr Brust snores in the ratio of 1 nap : 320 snores or 1 nap = 320 snores
Given that he took a nap everyday, last summer We have that .
For the month of July,
he had 31 naps( 31 days are in July)
Number of snores he made =31 x 320=9,920 snores
For the month of August
he also took 31 naps ( 31 days are in AugusT)
Number of snores he made = 31 x 320=9,920 snores
Therefore Mr Brust snored a total of 9,920+ 9,920 =19,840 times
Answer: Here is the complete table, with the filled in values:
______________________________________________________________
Time (h) Distance (mi)
3 2
9 6
12 8
18 12
___________________________________________________
Explanation:
___________________________________________________
Let us begin by obtaining the "?" value; that is, the "distance" (in "mi.") ;
when the time (in "h") is "18" ;
___________________________________________________
12/8 = 18/?
Note: "12/8 = (12÷4) / (8÷4) = 3/2 ;
Rewrite: 3/2 = 18/? ; cross-multiply: 3*? = 2 * 18 ;
3*? = 36 ;
Divide each side by "3" ;
The "?" = 36/3 = 12 ;
So, 12/8 = 18/12 ;
The value: "12" takes the place for the "?" in the table for "distance (in "mi.);
when the "time" (in "h") is "18".
__________________________________________________________
Now, let us obtain the "? " value for the "distance" (in "mi.");
when the "time" (in "h") is: "9" .
12/8 = 9/? ; Solve for "?" ;
We know (see aforementioned) that "12/8 = 3/2" ;
So, we can rewrite: 3/2 = 9/? ; Solve for "?" ;
Cross-multiply: 3* ? = 2* 9 ; 3* ? = 18 ;
Divide each side by "3" ;
to get: "6" for the "?" value.
When the time (in "h") is "9", the distance (in "mi.") is "6" .
____________________________________________________
Now, to solve the final "?" value in the table given.
9/6 = ?/2 ; Note: We get the "6" from our "calculated value" (see above problem).
9/6 = (9÷3) / (6÷3) = 3/2 ;
So, we know that the "?" value is: "3" .
Alternately: 9/6 = ?/2 ;
Cross-multiply: 6*? = 2*9 ; 6 * ? = 18 ; Divide each side by "6" ;
to find the value for the "?" ;
"?" = 18/6 = "3" .
When the "distance" (in "mi.") is: "2" ; the time (in "h") is: "3" .
____________________________________________________
Here is the complete table—with all the values filled in:
____________________________________________________
<span>Time (h) Distance (mi)
____________________________________________________
3 2
9 6
12 8
18 12
____________________________________________________</span>
