A c and d are the answers
First term is -7, so a_1 = -7
To get the next term, we add on 4. We can see this if we subtract like so
d = (2nd term) - (1st term) = (-3) - (-7) = -3+7 = 4
So d = 4 is the common difference.
Apply a_1 = -7 and d = 4 to get...
a_n = a_1 + d*(n-1)
a_n = -7 + 4*(n-1)
a_n = -7 + (n-1)*4
Answer: Choice A
You're looking for c, so you want to isolate it or get it by itself. To get rid of the /3 you multiply since the opposite of division is multiplication and to get rid of it, you do the opposite (like -9 you would add 9 to get it to 0). Now you are left with -19+c = 24 (the 24 is 8*3 because what you do to one side you do to the other. Now you get c by itself so you add 19 to both sides which leaves you with C= 43. Sorry if this was confusing!
Answer:
Approximately 809 cubes will be made
Step-by-step explanation:
To calculate the number if cubes to be made, we shall need to calculate the volume of both shapes
The volume of the cubes can be calculated using the formula L^3 = 3 * 3 * 3 = 27 cm^3
For the cylinder, the formula of the volume to use is
V = π * r^2 * h
The radius here is 10.5 cm and the height is 63 cm
V = 22/7 * 10.5^2 * 63 = 21,829.5 cm^3
The number of cubes that can be made is calculated by dividing the volume of the cylinder by that of the cube
That is 21,829.5/27 = 808.5 which is 809 to the nearest whole number
Answer:
y=-9
Step-by-step explanation:
If x equals 2, then we can substitute that into the equation, resulting in the equation 2*2-2y=22
We can solve for multiplication first:
4-2y=22
Then we can subtract four on both sides, canceling out the four on the left side:
-2y=18
Now to isolate y, we divide both sides by -2, resulting in the solution:
y=-9
Hope this helps!
