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irinina [24]
3 years ago
8

A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 190 lb and each bo

x of books weighs 40 lb. The maximum capacity of the elevator is 900 lb. How many boxes of books can the delivery person bring up at one​ time?
Mathematics
2 answers:
KonstantinChe [14]3 years ago
7 0
900-190= 710

710/40= 17.75

17 (or 18, but I would choose 17 if I were you) 
musickatia [10]3 years ago
6 0
190+40x=900
40x=710
x=17.75
They can only bring up 17 boxes at a time because even though the elevator can handle another 30 pounds that is not the weight of another full box.
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Set x is the set of all multiples of 6 between 15 and 70 what set is equal to set x
Pie

Answer:

<em>X ∈ { 96, 102, 108, 114, 120, 126, 132, 138, 144, 150, 156, 162, 168, 174, 180, 186, 192, 198, 204, 210, 216, 222, 228, 234, 240, 246, 252, 258, 264, 270, 276, 282, 288, 294, 300, 206, 312, 318, 324, 330, 336, 342, 348, 354, 360, 366, 372, 378, 384, 390, 396, 402, 408, 414 }</em>

Step-by-step explanation:

See procedure below;

Set X { all multiples of 6 between 15 and 70, provided multiples belong to the set of natural numbers },

Set X { 6n | 15 < n < 70, n ∈ natural numbers },

n ∈ { 16, 17, 18, 19, 20, 21, 22, 23, 24, 25.........69 },

X ∈ { 96, 102, 108, 114, 120, 126, 132, 138, 144, 150, 156.........414 }

<em>Answer; { 96, 102, 108, 114, 120, 126, 132, 138, 144, 150, 156, 162, 168, 174, 180, 186, 192, 198, 204, 210, 216, 222, 228, 234, 240, 246, 252, 258, 264, 270, 276, 282, 288, 294, 300, 206, 312, 318, 324, 330, 336, 342, 348, 354, 360, 366, 372, 378, 384, 390, 396, 402, 408, 414 }</em>

8 0
3 years ago
What is the mean of this sample, which consists of 10
In-s [12.5K]

Answer:

The mean of the samples is 21

Step-by-step explanation:

Mean is defined as the average sum of numbers i.e total sum of given numbers divided by the total number.

Given the randomly selected numbers as shown;

7, 100, 1, 3, 7, 10, 15, 12, 17, 38

Total sum of numbers = 7+ 100 + 1 + 3 + 7 + 10 + 15 + 12 + 17 + 38

= 210

Total numbers given = 10

Mean = 210/10

Mean = 21

7 0
4 years ago
the lateral area of a right circular cone is 20pi cm^2 and the total area is 36pi cm^2 find the volume of the cone
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Let r = radius, h = height and l = slant height 

Lateral area = rlpi 

But l = sqrt(r^2 + h^2) 

Lateral area = r sqrt( r^2 + h^2) pi = 20 pi..................(1) 

Total area = r sqrt( r^2 + h^2) pi + r^2 pi = 36pi......(2) 

Subtract (1) from (2) 

r^2 pi = 16 pi 

r^2 = 16 

r = 4 cm 

Put this value in (1) to find h 

4sqrt(4^2 + h^2) pi = 20 pi 

sqrt(16 + h^2) = 5 

Square both sides 

16 + h^2 = 25 

h^2 = 9 

h = 3 cm 

Now that we know h and r we can find the volume 


V = 1/3 pi r^2 h 

= 1/3 pi (4^2)(3) 

<span>= 16 pi cm^3 .........( = 50.27 cm^3)

I hope my answer has come to your help. God bless and have a nice day ahead!
</span>
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Step-by-step explanation:

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Step-by-step explanation:

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