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Daniel [21]
3 years ago
6

Julia is selling bracelets (B) for each $3 each and necklaces (N) for $8 each. Write a inequality to represent all of the combin

ations of bracelets and necklaces Julia could sell to make at least $150.
Mathematics
1 answer:
trapecia [35]3 years ago
7 0

3b + 8n  \geqslant 150
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Austin takes 1 minute and 45 seconds to run three-quarters of a circular track. His rate of motion is π/ radians per second.
valentina_108 [34]
Length of circular track is:

L = 2*r*pi

He run 3/4 of it so length is:
L' = 3*2/4*r*pi = 3/2*r*pi

To calculate speed of his movement we use formula:
v = s/t where s = L' and t = 1 minute 45 seconds = 105 seconds

v = L'/t = \frac{3*r*pi}{2*105}

v = r* pi/70

If we take that r = 1 answer is \pi /70
6 0
3 years ago
Consider the spreading of a rumor through a company of 1000 employees, allworking in the same building.We assume that the spread
natima [27]

Answer:

On the 12th day, the rumor would have has to all the 1000 employees

Step-by-step explanation:

Given the data in the question;

so, lets consider the rumor spreading thorough the company of 1000 employee;

the given model is; r_{n+1} = r_{n} + 1000kr_{n} ( 1000 - r_{n} )

where k is the parameter that depends on how fast the rumor spreads, n is the number of days.

now, lets assume k = 0.0001, lets also assume r₀ = 4

so to find how soon all 1000 employees  will have heard the rumor  ;

let n be;

then r1 will be;

r1 = r₀ + ( 0.001)r₀(1000-r₀ )

so

r1 = 4 + ( 0.001) × 4× (1000 - 4 )

r1 = 7.984

r2 will be;

r2 = r1 + ( 0.001)r1(1000-r1 )

r2 =  7.984 + ( 0.001) × 7.984 × (1000 - 7.984 )

r2 = 15.904255744

   

r3  will be;

r3 = r2 + ( 0.001)r2(1000-r2 )  

r3 = 15.904255744 + ( 0.001) × 15.904255744 × (1000 - 15.904255744 )

r3 = 31.555566137

Using the same formula and procedure by substituting n = 1,2,3,4,5,6,7,8,9,10,11,12.

we will have;

n        rₙ

0        4

1        7.984

2       15.904255744

3       31.555566137

4       62.1153785

5       120.372437

6       226.25535

7       401.319217

8       641.58132

9       871.53605

10     983.497013

11      999.727651

12     999.999926

Therefore, On the 12th day, the rumor would have has to all the 1000 employees

 

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3 years ago
Fill in the blank for the special triangle.<br><br><br> HELPPPPPP<br> HELLLLLP
Nastasia [14]

Answer:

\sqrt{2}

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Find the midpoint of the segment with the following endpoints. (5,3) and (1,9)
OLEGan [10]

Answer:

(3, 6)

Step-by-step explanation:

If you create a mini graph, like I did, you would have seen that the middle point is at the co-ordinates (3,6). I have attached a image to this reply, with my "graph". (Sorry if its a little ugly, but that doesn't matter, the math does.)

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How did the boundaries of the Mauryan Empire change under Aśoka?
OlgaM077 [116]

Answer:

it expanded is the south

Step-by-step explanation:

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2 years ago
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