Answer:
Answer:
A) The volume of figure 1 is 45 cm³ greater than the volume of figure 2
Step-by-step explanation:
Let's start by calculating the volumes of both figures
Figure 1
Rectangular prism
V = Bh
V = (15*6)(5)
V = (90)(5)
V = 450 cm³
Triangular prism
V = Bh
V = 1/2(3*15)(6)
V = 1/2(45)(6)
V = 1/2(270)
V = 135 cm³
Add them together, you get 585 cm³
Figure 2
Rectangular prism
V = Bh
V = (6*15)(5)
V = (90)(5)
V = 450 cm³
Rectangular pyramid
V = 1/3 Bh
V = 1/3 (15*6)(3)
V = 1/3 (90)(3)
V = 1/3 (270)
V = 90 cm³
Add them together, you get 540 cm³
Subtract 540 from 585 and get 45
Answer:
3072
Step-by-step explanation:
double the number until the 11th time which would be -3072 so C
Answer:
x > -1.25
Step-by-step explanation:
First, let's start with the left side of the equation.
1) multiply 0.2(x + 20). You will get 0.2x+4
So you have 0.2x+4-3
Simplify that, you will have 0.2x+1
Now, we need to isolate the variable (bring all terms with "x" to one side), and move everything else to another side. Remember that when you bring something to the other side, you must change the sign in front of the term (for example, bringing 2x to another side would change it to -2x. another example is if you were to bring -2 to another side, you would have to change it to 2.)
2) 0.2x+6.2x>-7-1 Moved like terms to one side.
6.4x>-8 I combined the terms here!
x > -1.25 Simplified!
Let me know if you need anything else :)
Answer:
100
Step-by-step explanation:
let 'n' = # chess club members
6 = 3/4 · 8/100 · n
6 = 3/50n
3n = 300
n = 100
% change = (new value - old value)/(old value) * 100%
.. = (9.67 -9.74)/9.74 * 100%
.. = -0.07/9.74 * 100%
.. = -0.7%
The decrease is 0.7%.
