Answer:
Below
Step-by-step explanation:
Always
Sometimes
Never
Always
So if 1 person shakes the other 179 people in the meeting then you would multiply 180 times 179 which would equal 32,220 handshakes
Answer:
height = 5 cm
Step-by-step explanation:
The volume (V) of a cuboid is calculated as
V = A h ( A is the area of the base and h the height )
Here V = 180 cm³ , thus
6²h = 180 ( A of square = 6² = 36 )
36h = 180 ( divide both sides by 36 )
h = 5 cm
Answer:
3.33×10⁴
Step-by-step explanation:
You can use the hint, or you can use a common exponent. Here is the latter case.
(3.9×10⁴) -(5.7×10³) = (3.9×10⁴) -(0.57×10⁴) = (3.9 -0.57)×10⁴
= 3.33×10⁴
_____
With a little practice, you can see the effect on exponents of moving the decimal point. Here, we have ...
5.7×10³ = (0.57×10)×10³ = 0.57×(10×10³) = 0.57×10⁴
__
When adding or subtracting in scientific notation, all that is required is that the exponents of all the numbers be the same. The hint says make all the exponents be 0. Above, we have chosen to make them all be 4. You could also use 3:
(3.9×10⁴) -(5.7×10³) = (39×10³) -(5.7×10³) = (39 -5.7)×10³
= 33.3×10³ = 3.33×10⁴
Answer: See explanation
Step-by-step explanation:
Alyssa starts with $40 and saves $10 each week. This can be written as:
= 40 + 10x
Bill has $24 and saves $12 each week. This can be written as:
= 24 + 12x
where, x = number of weeks
a. Bill will never have more money than Alyssa.
False.
From the 9th week, Bill will have more money than Alyssa. To check goes below.
Alyssa = 40 + 10x = 40 + 10(9) = 40 + 90 =$130
Bill = 24 + 12x = 24 + 12(9) = 24 + 108 = $132
b. Bill's savings can be represented by the equation = 12 + 24 where x is the number of weeks and y is his savings.
False.
Bill savings can be represented by:
= 24 + 12x
where, x = number of weeks
c. Alyssa and Bill will have the same amount of money at Week 6.
False.
Alyssa = 40 + 10x
= 40 + 10(6)
= 40 + 60
= $100
Bill = 24 + 12x
= 24 + 12(6)
= 24 + 72
= $96
