Answer:
Step-by-step explanation:
y(y+2)=y²-6
y²+2y=y²-6
2y=-6
y=-3
2[x-(1-3x)]=3(x+1)
2[x-1+3x]=3x+3
2(4x-1)=3x+3
8x-2=3x+3
8x-3x=3+2
5x=5
x=1
Answer:
76
Step-by-step explanation:
Answer:
The total cash received is $30740.
Step-by-step explanation:
Montana Company sold merchandise with a retail price of $ 29,000 for cash. Montana Company is required to collect a 6 % state sales tax.
Therefore, the total cash received from customer = Retail Price + State Sales Tax.
= 
= $30740
Hence, the total cash received is $30740. (Answer)
1) All angles of a rectangle are right angles, so the measure of angle CBA is 90 degrees.
2) Since all angles of a rectangle are right angles, angle BAD measures 90 degrees. Subtracting the 25 degrees of angle BAW from this, we get that angle CAD has a measure of 65 degrees.
3) Opposite sides of a rectangle are parallel, so by the alternate interior angles theorem, the measure of angle ACD is 25 degrees.
4) Because diagonals of a rectangle are congruent and bisect each other, this means BW=WA. So, since angles opposite equal sides in a triangle (in this case triangle ABW) are equal, the measure of angle ABW is 25 degrees. This means that the measure of angle CBD is 90-25=65 degrees.
5) In triangle AWB, since angles in a triangle add to 180 degrees, angle BWA measures 130 degrees.
6) Once again, since diagonals of a rectangle are congruent and bisect each other, AW=WD. So, the measures of angles WAD and ADW are each 65 degrees. Thus, because angles in a triangle (in this case triangle AWD) add to 180 degrees, the measure of angle AWD is 50 degrees.
Answer:
$1.25 per hot dog
Step-by-step explanation:
