Answer:
Step-by-step explanation:
The attached photo contains the Venn diagram with the circles representing the set of Spa's, fitness clubs and children clubs
The total number of resorts was 110
a) the number of the resorts that had only Spa is
33 - (2 + 8 + 9) = 14
b)the number of the resorts that had exactly one of these features is
Exactly Spa is 33 - (2 + 8 + 9) = 14
Exactly fitness center is 67 - (15 + 8 + 9) = 35
Exactly a children’s club is 45 - (2 + 8 + 15) = 20
14 + 35 + 20 = 69
c) the number of the resorts had at least one of these features would be
(14 + 35 + 20 + 2 + 15 + 9 + 8) = 103
d) the number of the resorts had exactly 2 of these features would be
2 + 15 + 9 = 26
e) the number of the resorts that none of these features would be
110 - 103 = 7
<h3>
Answer: Choice D) 0.0285</h3>
=========================================
Explanation:
You move the decimal point two spots to the left to go from 2.85% to 0.0285
Or you can think of it like this:
2.85% = (2.85)/100 = 0.0285
since "percent" means "per 100"
Answer:
From the graph we can say that ant is moving faster than the ladybug
Slope of the ant's movement will be steeper than the ladybug
- Hence<u>, </u><u>line "</u>v" denotes the speed of ant and <u>line "</u>u" denotes the speed of ladybug.
Unit rate/slope of the graph is (distance traveled/elapsed time)
- <u>Unit rate of ant is 3/2 cm/sec</u> and <u>that of ladybug is 1 cm/sec.</u>
- Ant takes (12×2/3) =<u> </u><u>8</u><u> </u><u>sec</u> and ladybug takes (12×1) =<u> </u><u>12</u><u> </u><u>sec</u> to travel 12 cm.
Remember ant will take less time to travel a certain distance than ladybug.
Answer:
A rectangular prism in which BA = 20 and h = 6 has a volume of 120 units3; therefore, Shannon is correct
Step-by-step explanation:
step 1
Find the area of the base of the rectangular pyramid
we know that
The volume of the rectangular pyramid is equal to
![V=\frac{1}{3}BH](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7DBH)
where
B is the area of the base
H is the height of the pyramid
we have
![V=40\ units^{3}](https://tex.z-dn.net/?f=V%3D40%5C%20units%5E%7B3%7D)
![H=6\ units](https://tex.z-dn.net/?f=H%3D6%5C%20units)
substitute and solve for B
![40=\frac{1}{3}B(6)](https://tex.z-dn.net/?f=40%3D%5Cfrac%7B1%7D%7B3%7DB%286%29)
![120=B(6)](https://tex.z-dn.net/?f=120%3DB%286%29)
![B=120/6=20\ units^{2}](https://tex.z-dn.net/?f=B%3D120%2F6%3D20%5C%20units%5E%7B2%7D)
step 2
Find the volume of the rectangular prism with the same base area and height
we know that
The volume of the rectangular prism is equal to
![V=BH](https://tex.z-dn.net/?f=V%3DBH)
we have
![B=20\ units^{2}](https://tex.z-dn.net/?f=B%3D20%5C%20units%5E%7B2%7D)
![H=6\ units](https://tex.z-dn.net/?f=H%3D6%5C%20units)
substitute
![V=(20)(6)=120\ units^{3}](https://tex.z-dn.net/?f=V%3D%2820%29%286%29%3D120%5C%20units%5E%7B3%7D)
therefore
The rectangular prism has a volume that is three times the size of the given rectangular pyramid. Shannon is correct
Answer:
2^2 * 3^3
Step-by-step explanation:
108 = 2*2*3*3*3
= 2^2 * 3^3.