Two researchers are studying the decline of orangutan populations. In one study, a population of 784 orangutans is expected to decrease at a rate of 25 orangutans per year. In a second study, the population of a group of 817 orangutans is expected to decrease at a rate of 36 per year. After how many years will the two populations be the same?

The two populations will be the same after
years.

Answer:

Perimeter = AB + AC + BC = 26.55 units

Step-by-step explanation:

The perimeter of a triangle is the sum of lengths of all sides.

Here we have a right triangle, right-angled at C

angle B = 46°

AB = 11

We continue to calculate

AC = (11)sin(46°) = 7.91

BC = (11)cos(46°) = 7.64

Perimeter = AB + AC + BC = 26.55 units

Answer:9 6/20

Step-by-step explanation:

add numerator and find lcf on denominator add whole number

Answer: 9 6/20

Hope that helps :)

Let the number missed = x

They made 6 times that amount which would be 6x

The total of missed and made is 308:

X + 6x = 308

Combine like terms

7x = 308

Divide both sides by 7

X = 44

They missed 44

Answer:

The question seems incomplete, but this statement would be true for all x below 3 (you can put any number less than 3 in it and get a true statement)

Answer:

x = 4

Step-by-step explanation:

I think this is correct

Translation 5 units up is correct

Answer:

A

Step-by-step explanation:

-13m = -12

m = 12/13 = 0.92

I think just only A is the correct answer

Answer:

Hi again, I'm here to answer!

The correct answers:

10. x = -7 2/3

11. x = 2

12. x = 3

Step-by-step explanation:

(x + 3)/2 = (x - 4)/5

(5x + 15)/10 = (2x - 8)/10

3x/10 = -23/10

x = -23/3

x = -7 2/3

(2x - 1)/3 = x/2

(4x - 2)/6 = 3x/6

x/6 = 2/6

x = 2

(3x + 1)/5 = 2x/3

(9x + 3)/15 = 10x/15

-x/15 = -3/15

x = 3

Hope this helped!

Answer:

H

Step-by-step explanation:

[tex]0.8 \times 0.8 = 0.64[/tex]

Answer:

8 x 8 = 64

64 x 6 = 384 ft^2 is your answer.

Answer:

384 Sq ft

Step-by-step explanation:

multipliy 8 by 8 to get the area of one side. then because it is a cube, and all the side lengths are the same, you can just multipliy the area of one face by the amount of faces total.

8×8=64

64×6=384

384 ft²

or

384 Sq ft

Answer:

it's gonna be the same 114 degrees

Answer:

30

Step-by-step explanation:

7+3=10-3=7+23=30

Answer:

x-5

x-2

Step-by-step explanation:

Questions 1:

√(x²-10x+25)

x²-10x+25= (x-5)²

√(x-5)²= x-5

question 2:

x²-4x+4= (x-2)²

√(x-2)²= x-2

Answer:

6 cm. and 14 cm.

Step-by-step explanation:

3x2=6

7x2=14

Answer:

x= -1 y=3

Step-by-step explanation:

Answer:

x = -1

y = 3

Step-by-step explanation:

2x +y =1 3x -y= -6

Add the two equations together to eliminate y

2x +y =1

3x -y= -6

------------------

5x = -5

Divide by 5

5x/5 = -5/5

x = -1

2x+y = 1

2(-1) +y = 1

-2 +y =1

Add 2 to each side

y = 1+2

y =3

Answer:

c

Step-by-step explanation:

sjrbdjcktwnxjyjebssb3jsixjtebhwwu

Answer:

20x-12

Step-by-step explanation:

Given:

7(3x−1)−(x+5)

Step 1: Distribute the Negative Sign:

=7(3x−1)+−1(x+5)

=7(3x−1)+−1x+(−1)(5)

=7(3x−1)+−x+−5

Step 2: Distribute:

=(7)(3x)+(7)(−1)+−x+−5

=21x+−7+−x+−5

Step 3: Combine  

=21x+−7+−x+−5

=(21x+−x)+(−7+−5)

=20x+−12

Answer:

Check description

Step-by-step explanation:

Remember, P.E.M.D.A.S. Parenthesis first so 3x-1 and x+5. Not given enough information, I cannot give you the correct answer so instead, I will give you the equations you will have to do and these are not all in the order of what you have to do, but most of them are. Just follow P.E.M.D.A.S. if you know what to do. (I will put letters as answers)

step 1: (3x-1)

3 times x = Q

Q minus 1 = P

step 2: (x+5)

x plus 5 = E

step 3: 7xP

7 times P = W(The one from step 1)

step 4: W-E

W-E= A

Answer:

2³x3²

Step-by-step explanation:

(2³x3⁶)/3⁴

2³x3⁶^-4

= 2³x3²

Answer:

An equation with -8 as the slope.

Step-by-step explanation:

I can't see your choices but you need to look for an equation in which the slope is -8. A line with an opposite reciprocal slope is needed in order to be perpendicular to the line y = 1/8x + 3. The opposite reciprocal of 1/8 is -8.

Answer:

16 mugs

Step-by-step explanation:

Total clay bought = 45 lbs

Clay used for sculpture = 15.8 lbs

Clay left over = 17.68 lbs

Clay used for each mug = 0.72 lbs

Number of mug = x

Total clay bought = Clay used for sculpture + Clay left over + (Clay used for each mug * Number of mug)

45 = 15.8 + 17.68 + (0.72 * x)

45 = 33.48 + 0.72x

45 - 33.48 = 0.72x

11.52 = 0.72x

x = 11.52/0.72

x = 16

Number of mug = x = 16 mugs

Answer:

Answer: A

Step-by-step explanation:

X comes first then Y. so go right 2 since its positive, then go up 5 since its also a positive. then you get your answer

Step-by-step explanation:

A 2 (x horizontal line), 5 (y vertical line)

Answer:

A = 8

B = 6

C = 4

D = 7

Top = 29

Side = 20

Step-by-step explanation:

To get A on the bottom side row you divide 32 by 4 and get 8.

To get D, on the first side row, subtract A, 8, now it's 21, 21 divided by 3 is 7.

To get B, on the first top row, subtract A and D, now divide by 2 and you get 6.

To get C, on the third side row, subtract B and divide by 2 and you get 4.

9514 1404 393

Answer:

  n = 24

Step-by-step explanation:

Multiply the given equation by the product of denominators. Then subtract 6n and go from there.

  [tex]\dfrac{6}{n-6}=\dfrac{8}{n}\\\\6n=8(n-6)\qquad\text{rid of fractions}\\\\0=2n-48\qquad\text{subtract 6n, simplify}\\\\0=n-24\qquad\text{divide by 2}\\\\\boxed{24=n}\qquad\text{add 24}[/tex]

_____

Alternate solution

Any proportion can be written 4 ways. If we write this one "sideways," we have ...

  6/8 = (n -6)/n

  1 -1/4 = 1 -6/n . . . . . expand in parallel fashion

  6/n = 1/4 . . . . . . . . subtract 1, multiply by -1

  n = 24 . . . . . . . . . multiply by 4n

__

Another alternate solution (can be done mentally)

The above "sideways" proportion can be reduced to ...

  3/4 = (n -6)/n

The difference between values on the left is 1 unit. On the right, the difference between values is 6. (The numerator is 6 less than the denominator.) The denominator on the left (4) is 4 times the difference, so the denominator on the right (n) will likewise be 4 times the difference: n = 4·6 = 24. Check: 3/4 = 18/24.

Answer:

84°

Step-by-step explanation:

< DEB = ½× (31+ 137) = ½× (168) = 84°

Answer:

Step-by-step explanation:

Area of the quarter circle = 1/4 pi * r^2

Area of the quarter circle = 1/4 * 3.14 * r^2

Area of the triangle = 1/2 r * r = 1/2 r^2

Equation of Solution

1/4 3.14 * r^2 = 14 cm^2 + 1/2 * r^2                    Subtract 1/2 r^2 from both sides

0.785 r^2 - 0.5 r^2 = 14 cm^2                           Combine the left

0.285 r^2  = 14. cm^2                                        Divide by 0.285

r^2 = 14/0.285

r^2 = 49.1228                                                     Take the square root of both sides

sqrt(r^2) = sqrt(49.1228)

r = 7.01

Answer:

Henry had 12 cans of Xtreme diet soda, if he drinks 2 sodas each hour and ends up with 8 cans at the end of the day, how many hours did he drink?

Step-by-step explanation:

12-2h=y

y=8 and your final amount

h = hrs and your variable

12 is your constant! he only has 12 cans, which cannot change

2 is your coefficient, but you can change it to whatever you want

If you need clarification let me know!

step one it says Jasmine ran 22 km is approximately equal to 1.6 km in which measurement is closest to the number of miles Jasmine ran the correct answer is C