So n=number of nickles
d=number of dimes
n is 12 more than d so
n=12+d
but they have same amount of money so
n times 5=worth of nickles
d times 10=worth of dimes
5n=10d
divide both sides by 5
n=2d
subsitute
n=2d
n=12+d
2d=n=12+d
2d=12+d
subtract d from both sides
d=12
subsitute
n=12+d
n=12+12
n=24
24 nickles
12 dimes
Well 50% of 30,000 is 15,000
So 10% is 3,000
15,000 - 3,000 = 12,000
So 40% increase is 42,000
Answer: Distributive Property
Step-by-step explanation:
such a rectangular prism is in that sense like a cube (or die) : it has 6 sides or surface areas. top, down, front, back, left, right.
to get the total surface area we need to calculate each individual side area and sum all 6 of them up.
since it is a rectangular shape, there are 3 pairs of equal side areas, so, we really need to calculate only 3 different ones :
front and back : each is
10×9 = 90 in², both together are 180 in²
left and right : each is
8×9 = 72 in², both together are 144 in²
top and bottom : each is
10×8 = 80 in², both together are 160 in²
the total surface area of the prism is
180 + 144 + 160 = 484 in²
Answer:
x < 3
Step-by-step explanation:
x + 9 < 12
Subtract 9 from both sides;
x < 3
