Let g = graph paper and r = ruler
1st equation: 5g + 30r = 40
2nd equation: 12g + 20r = 44
Multiply the 2nd equation by -1.5 to cancel out the r's
2nd equation: 12g + 20r = 44 x -1.5 = -18g - 30r = -66
Now add the 1st equation to that:
-18g + 5g = -13g
30r -30r = 0
40 -66 = -26
The new equation becomes -13g = -26
Divide both sides by -13
g = -26 / -13
g = 2
This means each pack of graph paper cost $2.
Now replace g with 2 in the first equation to solve for the cost of a rule:
5(2) + 30r = 40
Simplify:
10 + 30r = 40
Subtract 10 from each side:
30r = 30
Divide both sides by 30:
r = 30 / 30
r = 1
Each rule cost $1.
1. Find area of hexagon
Number of sides(area of triangle)
(6)1/2(11)(9.5)=313.5
Multiply by 2 since there are two hexagons
=627
2. Find area of the 6 rectangles
Number of sides(area of rectangle)
(6)(11)(20)=1320
3. Add area of both hexagons and the rectangles
627 + 1320= 1947
Therefore, the surface area of this prism is 1947
I hope I helped :)
-10 belongs to integers, rational numbers, and real numbers.
Diana had chocolate, and ate some, leaving 0.75 of it for Sarah.
Sarah ate 18.5 grams of it and return the rest to Diana, which was 65% of the original chococate.
How much chocolate did Diana have at the beginning?
and the solution is:
0.75x-18.50=0.65x
0.75x-0.65x=18.500.1x=18.50x=185
So Diana had 185 grams of chocolate. Hoped that helped!!!
Bob is selling his shirt at 78% of the original price
the original price was $144
what was sale price?
