Answer:
4 packages of AA batteries
6 packages of AAA batteries.
Step-by-step explanation:
Let the number of packages of AA batteries bought be x
Let
the number of packages of AAA batteries bought be Y
He Brought 10 packages of AA and AAA
thus,
x+y = 10 equation 1
Given
The AA batteries are sold in packages of 6, it means one packet contains 6 batteries
Thus,
Total number of AA batteries in x packages = 6x
The AAA batteries are sold in packages of 8, it means one packet contains 8 batteries
Thus,
Total number of AAA batteries in y packages = 8y
Given total no. of batteries is 72
thus
6x + 8y = 72 equation 2
x+y = 10
y = 10-x ---using this in equation 2
6x + 8(10 - x) = 72
=> 6x + 80 - 8x = 72
=> -2x = 72-80 = -8
=> x = -8/-2 = 4
y = 10 -x = 10 -4 = 6
y = 6
Thus,
he bought 4 packages of AA batteries
6 packages of AAA batteries.
Answer:
The area of the shape after it has been enlarged by
scale factor 2 will be: 10 cm²
Step-by-step explanation:
The Area is basically a measure of how much space in square units there is inside an object.
As the shape is shown on the centimeter grid.
- The shape clearly occupies the space of 5-centimeter squares.
We also know that If the scale factor > 1, the image is enlarged.
As we know to determine the area of the shape after it has been enlarged by scale factor 2, all we need to do is to multiply the area of the original shape by 2.
The area of original shape = 5 cm²
The area of the shape after the dilation by a scale factor 2 = 5 × 2 = 10 cm²
Thus, the area of the shape after it has been enlarged by
scale factor 2 will be: 10 cm²
Answer:
The value of Lucys house at the start of 2017 is 231525.
Step-by-step explanation:
It is given that the initial value of Lucys house is 200,000. The at the start of 2017.
The exponential function is defined as
Where, P₀ is initial value, r is growth rate, t is time in years.
The value of house is defined by the function
Where, t is number of years after 2014.
The difference between 2017 and 2014 is 3 years.
Therefore the value of Lucys house at the start of 2017 is 231525.
Hi there!
The formula for the volume of a sphere is V = 4/3(pi)(r^3). Using this formula, we can plug in what we know and solve.
WORK:
V = 4/3(pi)(10^3)
V = 4/3(1000pi)
V = 4000pi/3 or 1333.3 pi
V also = 4188.8
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
