The least number of boxes Sharon should buy is 5 boxes.
Step-by-step explanation:
Given,
Number of cards in box = 12
Number of stamps in packages = 20
We will find least common multiple of 12 and 20.
12 = 12,24,36,48,60,.....
20 = 20,40,60,80,....
The LCM of 12 and 20 is 60.
Now,
12 cards = 1 box
60 cards = 
60 cards = 5 boxes
The least number of boxes Sharon should buy is 5 boxes.
Answer:
20 ft by 60 ft
Step-by-step explanation:
"What should the dimensions of the garden be to maximize this area?"
If y is the length of the garden, parallel to the stream, and x is the width of the garden, then the amount of fencing is:
120 = 3x + y
And the area is:
A = xy
Use substitution:
A = x (120 − 3x)
A = -3x² + 120x
This is a downward facing parabola. The maximum is at the vertex, which we can find using x = -b/(2a).
x = -120 / (2 · -3)
x = 20
When x = 20, y = 60. So the garden should be 20 ft by 60 ft.
Answer:
147.5 km and 64.4 km
Step-by-step explanation:
a=120 km
b=70 km
β=28 degrees (
∘)
b^2=(a^2)+(c^2)−2ac*cosβ
70^2
=(120^2
)+(c^2)−2⋅ 120⋅ c⋅ cos(28∘ )
(c^2
) −211.907c+9500=0
note p, q, and r are replacement variables in the Pythagorean theorem since a, b, and c are already in use
p=1;q=−211.907;r=9500
D=(q^2
) −4pr=(211.907^2
)−4⋅1⋅9500=6904.75561996
D>0
=
(−q± 
)/2p=(211.91±
)/2
=105.95371114±41.5474295834
(
−147.501140726)(
−64.4062815596)=0
=147.501140726
=64.4062815596
Answer:
The Prime Factorization is:
3 x 3 x 3 x 31
In Exponential Form:
33 x 311
Format:
3, 3, 3, 31
Step-by-step explanation:
First one costs $720, second costs $700 so the second one the<span> 1,000 dollar computer discounted to 30%</span>
