Troy studies porcupines and wants to estimate the population in a certain region. Troy catches 36 porcupines, marks them, and releases them. Then later, Troy catches 450 porcupines and observes that 18 of them are marked. To the nearest whole number, what is the best estimate for the porcupine population?

[tex]\sf \longmapsto45 - 4x = 75 - 6x[/tex]

[tex]\sf \longmapsto45 - 75 =- 6x + 4x[/tex]

[tex]\sf \longmapsto -30 =- 2x[/tex]

[tex] \sf \longmapsto \frac{ 30}{2} = x [/tex]

[tex]\sf \longmapsto 15 = x[/tex]

[tex]\sf \longmapsto \: x ≈15[/tex]

=> 45 - 4x = 75 - 6x

=> 45 - 75 = -6x + 4x

=> -30 = -2x

=> x = 30/2

=> x = 15

Answer:

D

Step-by-step explanation:

move 4 to right, then its in vertext form where where -h = 1 and k = 4. the vertext is (h,k), so just swap thr sign in h andnout it into the coordinate and get (-1,4)

Answer:

y = -13.5

x = -10.5

Step-by-step explanation:

Hi there!

Let the two numbers be equal to x and y.

The difference of two numbers is 3 ⇒ x - y = 3

Their sum is - 24 ⇒ x + y = -24

Solve using elimination:

x - y = 3

x + y = -24

Add the two equations:

x + x - y + y = 3 - 24

2x = -21

x = -10.5

Solve for y:

-10.5 - y = 3

- y = 3 + 10.5

y = -13.5

I hope this helps!

Answer:

Sensory adaptation? im guessing

Step-by-step explanation:

Answer:For this case we have that by definition it is fulfilled:

Where:

a: It is the base

b: It is the exponent

So, if we have the following expression:

-6 to the power of 4, is equivalent to:  

So we have to:

-6: It is the base

4: It is the exponent

-6: It is the base

4: It is the exponent

Step-by-step explanation:

A rectangular rug divided by its diagonal becomes a right angle triangle

The length and width of the rug is 14.1 feet by 11.1 feet

Diagonal = 18 feet

width = x

length = x + 3

diagonal ² = length ² + width ²

18² = x² + (x + 3)²

18² = x² + x² + 6x + 9

324 = 2x² + 6x + 9

2x² + 6x + 9 - 324 = 0

2x² + 6x - 315 = 0

solve using quadratic formula

x = - b ± √b² - 4ac / 2a

= - 6 ± √6² - 4×2×-315 / 2×2

= -6 ± √36 - (-2520) / 4

= -6 ± √36 + 2520/4

= -6 ± √2556 / 4

= - 6 ± 6√71 / 4

= -6/4 ± 6√71 / 4

= -3/2 ± 3√71/2

x = 11.1392 or -14.1392

The value of x can't be negative

So,

x = 11.1 to the nearest tenth

Therefore, the value of width and length is

width = x

= 11.1 feet

length = x + 3

= 11.1 + 3

= 14.1 feet

Learn more about Pythagoras theorem:

https://brainly.com/question/20545047

Answer:

y = -2 and x = 4

Step-by-step explanation:

8x + 14y = 4

-6x - 7y = -10

First, find the lowest common multiple of 8 and 6 (which is 24). Multiply the first equation by 3:

8x + 14y = 4

3(8x + 14y) = 3(4)

24x + 42y = 12

Multiply the second equation by 4:

-6x - 7y = -10

4(-6x - 7y) = 4(-10)

-24x - 28y = -40

Now, add the two equations together:

24x + 42y = 12

-24x - 28y = -40

24x + -24x = 0

42y + -28y = 14y

12 + -40 = -28

14y = -28

Divide both sides by 14:

14y ÷ 14 = -28 ÷ 14

y = -2

Plug this known variable back into the first equation:

8x + 14(-2) = 4

8x + (-28) = 4

8x - 28 = 4

Add 28 to both sides:

8x - 28 + 28 = 4 + 28

8x = 32

Divide both sides by 8:

8x ÷ 8 = 32 ÷ 8

x = 4

So y = -2 and x = 4.

Hope this helps!

Answer:

$125 per month

Step-by-step explanation:

Answer:

Step-by-step explanation:

According to diagram we have:

Now:

Find the measure of angle H:

Answer:

H is the height

Step-by-step explanation:

A= Area

B= Base

1/2= 0.5

Answer:

about 14 to 15 hours if it burns at that speed while it is burning

Answer:

17.5

Step-by-step explanation:

Given :-

To Find :-

Solution :-

Let us say that the maximum marks for the exam was x . So he got 75% of x that is ,

[tex]\longrightarrow[/tex] Marks = 75% of x

[tex]\longrightarrow[/tex] Marks = 75/100 × x

[tex]\longrightarrow[/tex] Marks = 3/4 × x

[tex]\longrightarrow[/tex] Marks = 3x/4

Hence he scored 3x/4 marks in the test.

[tex]3x + 2x = 35 \\ 5x = -35 \\ x = 7 \\ 3x = 3 \times 7 = 21 \\ 2 x \: \: \: \: 2 \times 7 = 14 \\ 21 \: and \: 14 \: answer[/tex]

Answer:

B

Step-by-step explanation:

When looking at cordinate points for functions, to be a function, the X-Values cannot come up more than once. B is the only one where there is no repeating X-value, so it is a function.

Hope this helps!!

Answer:

it is D

UR WELCOME

Answer:

C

Step-by-step explanation:

Substitute the values of x into y and evaluate , that is

x = - 27 → y = [tex]\sqrt[3]{-27}[/tex] = - 3

x = 0 → y = [tex]\sqrt[3]{0}[/tex] = 0

x = 27 → y = [tex]\sqrt[3]{27}[/tex] = 3

The values of y that complete the table are

- 3, 0, 3 → C

Answer:

y = (2/3)x - 2

Step-by-step explanation:

This problem is interesting in that both the x- and the y-intercepts are given.  The y-intercept is (0, -2), and so 'b' in 'y = mx + b' must be -2:

y = mx - 2.  The x-intercept is (3, 0), so we know that y = 0 when x = 3:

0 = m(3) - 2

This latter result must be solved for m:  3m = 2, or m = 2/3.

Then the desired equation is y = (2/3)x - 2.

Answer:

1799.08748

Rounded version: 1799

Step-by-step explanation:

Report me if its wrong mark me Brianliest if its right.

Answer:

y + 2 = [tex]\frac{1}{5}[/tex] (x - 10)

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{5}[/tex] x - 4 ← is in slope- intercept form

with slope m = [tex]\frac{1}{5}[/tex]

Parallel lines have equal slopes

The equation of a line in point- slope form is

y - b = m(x - a)

Here (a, b ) = (10, - 2 ) , then

y - (- 2) = [tex]\frac{1}{5}[/tex](x - 10) , that is

y + 2 = [tex]\frac{1}{5}[/tex](x - 10) ← in point- slope form

Answer:

The answer is $75.56 total for the family payings.

Step-by-step explanation:

First I added the percentages up together which is now 25% you might ask me why I did that well it's because it's asking us the total of the payings in percentages so that's why I did that, next I used percentage calculations which is 25% of 60.45 and got the answer $15.11 which is the tax+ the tip now we just add 60.45 and 15.11 and that's how I got $75.56!  Hope I helped if I did please mark brainliest it means a lot to my progression! Thanks <3

Answer:

x = 4

Step-by-step explanation:

[tex]6 - 6x = 5x - 9x - 2\\6 - 6x = - 4x - 2\\- 6x -(-4x)=-2-6\\-2x=-8\\x=-8/-2=4[/tex]

Answer:this question is confusing but it's probably the last one, must be the one passing through

x=1

y=-1

Answer:

H is equal to and greater than 48 the last one because you must be equal to 48 inches or greater than 48 inches so = would be equal to and < would mean that you must be greater than

Step-by-step explanation:

Answer:

h ≥ 48

Step-by-step explanation:

Height must be greater than or equal to 48 inches tall to ride.

Answer:

10: (10×0.15)+3.50:$5

15: (15×0.15)+3.50:$5.75

20:(20×0.15)+3.50: $6.50

25:(25×0.15)+3.50: $7.25

Answer:

10 days: $5 fee

15 days: $5.75 fee

20 days: $6.5 fee

25 days: $7.25 fee

Step-by-step explanation:

General Formula

Total fee = 3.5 + days late x 0.15

------

Total fee for 10 days = 3.5 + 10*0.15 = 5

Total fee for 15 days = 3.5 + 15 * 0.15 = 5.75

Total fee for 20 days = 3.5 + 20 * 0.15 = 6.5

coordinates for the answers:

Since days is the x axis and y axis is the fee then

(10, 5)

(15, 5.75)

(20, 6.5)

(25, 7.25)

Answer:

The answer is C. Yes, Abc= Adc

Answer:

Yes, ABC is congruent to CDA by SSS

Your answer is correct; and here's why:

side AB corresponds to side CD.

and side BC corresponds to DA

So ABC = CDA.. and of course they also share AC which makes it congruent by side side side congruency.

Step-by-step explanation:

Answer:

Where's the question?

Step-by-step explanation:

The fraction number negative 6/2 in the simplified form will be negative 3.

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The fraction number is given below.

⇒ - 6 / 2

Simplify the fraction number, then we have

⇒ - 6 / 2

⇒ - 3

The fraction number negative 6/2 in the simplified form will be negative 3.

More about the value of the expression link is given below.

https://brainly.com/question/23671908

#SPJ5

Answer: the answer is line 2

Step-by-step explanation:

Answer:

$1,104

Step-by-step explanation:

If the discount is 8%, then you would need to subtract 8% (0.08) from 1, which would be 0.92. Now multiply $1,200 by 0.92 and you'll get $1,104.

=================================================

[tex] \rightarrow [/tex] 1,200 x (100% - 8%)

[tex] \rightarrow [/tex] = 1,200 x 0.92

[tex] \rightarrow [/tex] = 1,104

Answer:

$11.59

Step-by-step explanation:

14.22-2.3=11.59

also this was like a question that gose "joe has 5 cookes, josie eats 3, how old is josie?"

Answer:

2.5

Step-by-step explanation:

5/4 = x/2

yeah-ya... right