first subtract the last equation from the first. this gives:-
-x + y = -8 .....................(1)
Then multiply the first equation by 2 and add it to the 2nd equations This gives
9x = 18
so x = 2
and from equation (1) y = -8 + 2 = -6
Substituting for x and y in the second equation
z = (24 -5(2) -12) / 2 = 1
Answer is choice b.
Answer:
depends which way you rotate it
Step-by-step explanation:
counterclockwise rotation: (6,5)
clockwise rotation: (-6,-5)
To write a number in scientific notation, you need to write the number as a product of a number from 1 to under 10 multiplied by a integer power of 10.
First, what number from 1 to under 10 can you get out of the digits of 150,000,000 just by changing the decimal point? The answer is 1.5 since 1.5 is greater than or equal to 1 and less than 10.
150,000,000 = 1.5 * 100,000,000
Now we change 100,000,000 into a power of 10. A 1 followed by a number of zeros is the same as 10 to the power equal to the number of zeros. In 100,000,000 the 1 is followed by 8 zeros, so 100,000,000 = 10^8.
150,000,000 = 1.5 * 10^8
2 meters is equal to 200 centimeters
Divide 200 by 10
200/10 = 20cm
Each piece will be 20 cm long
So your answer is A
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
