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2 years ago

WORTH 100 POINTS!!!

Mathematics

1 answer:

Ulleksa [173]2 years ago

6 0

1) Identify the statement you want to prove is true

2) Assume temporarily that the statement is false; assume the opposite is true

3) Obtain statements that logically follow from your assumption.

4) Reason logically until you reach a contradiction of a known fact.

5) Point out that your assumption must be false, and the statement must then be true.

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In a wildlife park, there were 18 gray wolves. After three years, there were 27 gray wolves. What is the percent gain?

natulia [17]

27-18=9 (difference between)
9/18=0.5 (9 as a percentage of original as a decimal)
0.5x100=50 (as a percentage)

50% increase

4 0

3 years ago

Read 2 more answers

Paws at play made a total of $1234 grooming 22 dogs. Paws at Play charges $43 to groom each small dog and $75 for each large dog

vitfil [10]

Answer:

Answer (a):

s + l = 22 ... (i)

43s + 75l = 1234 ... (ii)

Answer (b)

9 large dogs.

Step-by-step explanation:

Paws at Play made a total of $1234 grooming 22 dogs.

Paws at Play charges $43 to groom each small dog and;

$75 for each large dog.

Let the number of small dogs be 's'

And the number of large dogs be 'l'

A system of equations will be:

s + l = 22 ... (i)

43s + 75l = 1234 ... (ii)

Solving this set of simultaneous equations by elimination, we simply multiply (i) by 43 to get;

43s + 43l = 946 ... (i)

43s + 75l = 1234 ... (ii)

Subtracting (i) from (ii) we get;

32l = 288 , l = $\frac{288}{32}$ = 9

So there are 9 large dogs.

8 0

3 years ago

Select the correct answer. What is the domain of the function represented by this graph?

devlian [24]

Answer:

Doman is the x intercpet range

Step-by-step explanation:

all real numbers is the domain since the function goes on and on forever and will at one point get to 1 billion or trillion or just on and on forever.

8 0

3 years ago

What is the solutions of the equation 2 (x+2) ^2-4=28

JulsSmile [24]

Answer:

x = 2 x = -6

Step-by-step explanation:

2 (x+2) ^2-4=28

Add 4 to each side

2 (x+2) ^2-4+4=28+4

2 (x+2) ^2= 32

Divide by 2

2/2 (x+2) ^2=32/2

(x+2)^2 = 16

Take the square root of each side

sqrt((x+2)^2) =±sqrt( 16)

x+2 = ±4

Subtract 2 from each side

x+2-2 = -2±4

x = -2±4

x = -2+4 and x = -2-4

x = 2 x = -6

3 0

3 years ago

A rolling pin has two identical cylindrical handles attached to a larger handle that is 12 inches long. The large cylinder measu

yaroslaw [1]

Answer:

Volume of the rolling pin = 246.09 $in^{3}$

Step-by-step explanation:

Length of larger cylinder L = 12 in

Diameter of larger cylinder D = 5 in

Diameter of two handles = 1.5 in

Length of two handles = 3 in

Volume of the rolling pin = Volume of two handles + Volume of larger cylinder

Volume of two handles = 2 ( $\pi r^{2}L$ )

Volume of two handles = 2 (3.14 × $0.75^{2}$ × 3 )

Volume of two handles = 10.59 $in^{3}$

Volume of larger cylinder = ( $\pi r^{2}L$ )

Volume of larger cylinder = (3.14 × $2.5^{2}$ × 12 )

Volume of larger cylinder = 235.5 $in^{3}$

Volume of the rolling pin = 10.59 + 235.5

Volume of the rolling pin = 246.09 $in^{3}$

6 0

3 years ago