Greetings!
This can be solved by creating a simple equation.

Solve for x.

Find the LCM.


Add
-5/12 to both sides.

Simplify.

Find the LCM.


He kept 7/12 of the raisins for himself.
Hope this helps.
-Benjamin
Answer:
84
Step-by-step explanation:
Since we are given line OP perpendicular to line DR, then angles PDR and ODR are right angles.
Angles PDA and ADR are complementary.
Angles ODU and UDR are complementary.
Angles ADR and UDR are given as congruent.
We can conclude that angles PDA and ODU are congruent.
By AA Similarity, triangles APD and UMD are similar.
DP/DM = PA/MU
3.75/10 = 4.5/MU
3.75MU = 10 × 4.5
MU = 12 (altitude of triangle DUO)
OD = OM + MD = 4 + 10 = 14 (base of triangle DUO)
area = base × height / 2
area = 14 × 12 / 2
area = 84
Answer:
-9
Step-by-step explanation:
Since the opposite angles of both sides are congruent we know that the sides must be congruent also. Therefore, to solve for x we can set them equal to each other.
So the equation will be x+19=10, to solve we must isolate the variable.
First, subtract 19 from both sides
x+19-19=10-19
Then, simplify
x=-9
Answer:

Step-by-step explanation:
The domain of a function is all possible values for the value of x.
The denominator in a rational function cannot equal to 0.

Subtracting 2 from both sides.

The domain of the function is all real numbers except -2.
Answer:
if she would sell it for what it is worth now she would make $36.50
Step-by-step explanation:
0.75 x 83 = 62.5
62.5 + 8.75 = 71
71 is how much it is worth now
71 - 34.5 = 36.5
36.50 is how much she would make