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3 years ago

The city limits of Las Pythagoras form a perfect shape of an isosceles right triangle whose legs are both

Mathematics

1 answer:

mafiozo [28]3 years ago

4 0

Answer: 320

Step-by-step explanation:

100,000 is the total quantity

The area is 1/2*25^2 = 312.5

Density= Total quantity/Area

D = 100,000/312.5

= 320 per square kilometer

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A person on tour has dollar 360 for his daily expenses. If he extends his tour for 4 days, he has to cut down his daily expenses

Greeley [361]

Answer:

The original duration of the tour is 18 days.

Step-by-step explanation:

Let

the number of days spent be T

Daily expenses be D

Initially ,

total tour expenses was 360

$D \times T=360$

$D = \frac{360}{T}$ -------------(1)

If he extends his tour for 4 days, he has to cut down his daily expenses by dollar 3

$(D + 4) \cdot(T -3) = 360$ ---------------(2)

Expanding the eqaution(2)

DT-3D + 4T -12 = 360

Substituting the value of D

$(\frac{360}{T})T -3( \frac{360}{T}) + 4T -12 = 360$

$(\frac{360}{T})T -3( \frac{360}{T}) + 4T= 360 + 12$

$(\frac{360}{T})T -3( \frac{360}{T}) + 4T= 372$

$360 - ( \frac{1080}{T}) + 4T= 372$

$( \frac{1080}{T}) + 4T= 372 - 360$

$( \frac{1080}{T}) + 4T= 12$

$1080 + 4T^2= 12T$

Solving the quadratic equation we get

T = 18 and T = -15

T is the number of gays and it cannot be negative , hence T is 18

Substituting in equation (1) we get

$D = \frac{360}{18}$

D = 20

4 0

3 years ago

Plsss helppppppp plsssss

MrRa [10]

Set up an equation of ratios as shown below:

h 24 ft 4
----- = ---------- = ---
4 6 ft 1

Cross multiplying the 1st and 3rd fractions, we get h=16 ft (answer)

3 0

3 years ago

Simplify (8x^3-5x-1)-(7x^2+6x-10)

irakobra [83]

Answer:

8x^3-7x^2-11x+9

Step-by-step explanation:

(8x^3-5x-1)-(7x^2+6x-10)

remove unnesasary ( )

8x^3-5x-1 -(7x^2+6x-10)

the distribute

8x^3-5x-1 -7x^2-6x+10

combine like terms

8x^3-11x+9-7x^2

use the communative property to reorder the equation

8x^3-7x^2-11x+9

4 0

3 years ago

The solution set of the equation 8x + 12 = 5x – 21.

erastovalidia [21]

Answer:

8x + 12 = 5x -21

8x-5x=-12-21

3x=-33

x=-33/3

x=-11

Hope it helps

6 0

3 years ago

A student reads 3/5 of a book in 30 minutes how much of the book will be read if the student reads at the same speed for 40 minu

erastova [34]

Answer:

4/5 of the book in 40 mins

7 0

3 years ago