I’m guessing that this is for systems of equations?
n - nickels
d - dimes
These are the equations you start off with.
n = 5d-2
0.95 = 0.10d+0.05n
Substitute the top equation for n into the variable n in the bottom equation.
0.95 = 0.10d+0.05(5d-2)
Solve for d.
0.95 = 0.10d+0.25d-0.10
1.05 = 0.35d
3 = d
Substitute d into the top equation and solve for n.
n = 5(3)-2
n = 15-3
n = 12
There are 3 dimes and 12 nickels in the coin purse! Hope this helped <3
Step-by-step explanation:
f(x) = 9 * 81^x
When x = -1/2,
f(-1/2) = 9 * 81^(-1/2) = 9 * (1/9) = 1.
Answer:
3/8
Step-by-step explanation:
3/4 divided by 2> 3/4 divided by 2/1>3*1=3 4*2=8 so therefore your answer is 3/8
Answer:
Step-by-step explanation:
See attachment for the figure
Volume of pyramid can be defined as
V = 1/3 x area of the base x height.
-> Pyramid A:
Volume of Pyramid can be determined by:
V = 1/3 x (2.6cm)² x (2cm) = 4.5067 cm³
Pyramid B:
Volume of Pyramid can be determined by:
V = 1/3 x (2cm)² x (2.5cm) = 3.3333 cm³
Difference b/w two oblique pyramids: 4.5067 cm³ - 3.333 cm³ = 1.17 cm³
By Rounding the volumes to the nearest tenth of a centimeter
1.17cm³ ≈ 1.2cm³
Therefore, the difference of the volumes of the two oblique pyramids is 1.2cm³