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?

Answer:

1 8/9 - 1 2/3 = 2/

9

≅ 0.2222222

Step-by-step explanation:

How do you solve fractions step by step?

Conversion a mixed number 1 8/

9

to a improper fraction: 1 8/9 = 1 8/

9

= 1 · 9 + 8/

9

= 9 + 8/

9

= 17/

9

To find a new numerator:

a) Multiply the whole number 1 by the denominator 9. Whole number 1 equally 1 * 9/

9

= 9/

9

b) Add the answer from previous step 9 to the numerator 8. New numerator is 9 + 8 = 17

c) Write a previous answer (new numerator 17) over the denominator 9.

One and eight ninths is seventeen ninths

Conversion a mixed number 1 2/

3

to a improper fraction: 1 2/3 = 1 2/

3

= 1 · 3 + 2/

3

= 3 + 2/

3

= 5/

3

To find a new numerator:

a) Multiply the whole number 1 by the denominator 3. Whole number 1 equally 1 * 3/

3

= 3/

3

b) Add the answer from previous step 3 to the numerator 2. New numerator is 3 + 2 = 5

c) Write a previous answer (new numerator 5) over the denominator 3.

One and two thirds is five thirds

Subtract: 17/

9

- 5/

3

= 17/

9

- 5 · 3/

3 · 3

= 17/

9

- 15/

9

= 17 - 15/

9

= 2/

9

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(9, 3) = 9. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 9 × 3 = 27. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - seventeen ninths minus five thirds = two ninths

Answer:

See Below

Step-by-step explanation:

I think you mean 2 the the fourth power, showing 2, with an exponent of 4.

To calculate this, you multiply your base, 2, by itself as many times as the exponent states. Like, 2x2x2x2 because you are multiplying it 4 times by 2.

2x2=4, then 4x2=8, then 8x2= 16.

Hope this helps!

Answer:

4.2 laps per minute

Step-by-step explanation:

21laps/5min = 4.2laps/1min

Answer:

[tex]ax+ay=k; a\ne0, k\ne2a[/tex]; line D in the options.

Step-by-step explanation:

The set of equations has no solutions if the two lines are parallel. A quick way to create a parallel line is to solve for y, put it in slope-intercept form. Else, as long as the cofficient of x and y are in the same ratio (in this case 1:1), the two lines are parallel, you just have to be careful not to pick the same line again!

The condition [tex]a\ne 0[/tex] makes sure you are still getting lines (else you would get rid of both x and y); the condition [tex]k\ne 2a[/tex] makes sure you're not picking line A again, just written in a different form.

Now that we have the options:

A and C have a different ratio for the coefficient of x and y (2:1 and 1:2) so are not good.

Choice B is just a more complicated way to write the same line, you can see by dividing both sides by 2 and get back x+y=2.

Line D is correct.

Answer:

y = x + 3

Step-by-step explanation:

Given: (6,9)  (14, 17)

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{17-9}{14-6}=\frac{8}{8}=1[/tex]

slope, m = 1

Equation of line ⇒ y=mx+b

y = 9 , x = 6 , m = 1, b = ?

9 = 1*6 + b

9 = 6 + b

b = 9 - 6 = 3

Therefore, the equation of line will be:

y = 1x + 3

y = x + 3

Answer:

$0.38 per lb.

Step-by-step explanation:

unit rate formula; cost / quantity

4.99 / 13 = 0.3838461538461

round to the nearest hundredth

A pattern that increases or decreases at a constant rate is a linear function

Question 1

From the table, we see that:

The rate of increment/decrement is constant for both variables.

Hence, question 1 represents a linear function

Question 2

From the table, we see that:

The rate of increment is not constant for variable y.

Hence, question 2 represents a nonlinear function

Question 2

From the table, we see that:

The rate of increment is not constant for variable y.

The complete table is:

[tex]\mathbf{Step\to Blocks}[/tex]

[tex]\mathbf{1 \to 2}[/tex]

[tex]\mathbf{2 \to 6}[/tex]

[tex]\mathbf{3 \to 12}[/tex]

[tex]\mathbf{4 \to 20}[/tex]

Hence, question 3 represents a nonlinear function

Read more about patterns and rates at:

https://brainly.com/question/22386004

Answer:

No

Step-by-step explanation:

Gain 5= 5 to go

Lose 12= 7 to go

Gain 14= 7 to go

Lose 8=15 to go

The answer is −0.09

It should be simple multiplication.

I hope this helps!

Step-by-step explanation:

1. False

2. True

3. True

4. False

Answer:

a. false

b. true

c. true

d. false

Step-by-step explanation:

hope this is right

(if not tell me in the comments and i will try to help you best i can)

Answer:

29,000

Step-by-step explanation:

Answer:

30,000 i believe

Step-by-step explanation:

if that isnt the right answer then its just 29,000

Answer:

6.3/18 = 0.35

Step-by-step explanation:

0.35 is your answer

Answer:

x values

division

Step-by-step explanation:

Vertical lines are all "rise" and no "run"

therefor the difference in x values is always 0

division by 0 is undefined

Answer: y- values

Step-by-step explanation:

Answer:

This Inequality has no solution making it false.

Step-by-step explanation:

(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] = 14

5,069=322

False

Hope this helps :)

Answer:

Step-by-step explanation:

Answer:

12×10 = 120

NOT 84

THE ANSWER IS 120

Answer:

The equation of a linear function is expressed as: y = mx + b where m is the slope of the line or how steep it is, b represents the y-intercept or where the graph crosses the y-axis and x and y represent points on the graph.

Step-by-step explanation:

Step-by-step explanation:

answer is in the above picture

Answer:

abcdefghijklmnopqrstuvwxyz

Using continuous compounding and compound interest, it is found that Matthew would have $17 more than Elizabeth in his account.

Compound interest:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

Continuous compounding:

[tex]A(t) = Pe^{rt}[/tex]

The parameters are:

For both of them:

Elizabeth:

Then:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A(8) = 970\left(1 + \frac{0.06625}{365}\right)^{365(8)}[/tex]

[tex]A(8) = 1648[/tex]

Matthew:

Then:

[tex]A(t) = Pe^{rt}[/tex]

[tex]A(8) = 970e^{0.0675(8)}[/tex]

[tex]A(8) = 1665[/tex]

The difference is:

1665 - 1648 = 17

Hence, Matthew would have $17 more than Elizabeth in his account.

A similar problem is given at https://brainly.com/question/24507395

Answer:

-1 1/6

Step-by-step explanation:

[tex]3\frac{1}{6} + (-4\frac{1}{3} )[/tex]

Convert the mixed numbers into improper fractions

[tex]\frac{19}{6} + (-\frac{13}{3} )[/tex]

Apply the rule: a + (-b) = a - b

[tex]\frac{19}{6} + (-\frac{13}{3} ) = \frac{19}{6} - \frac{13}{3}[/tex]

The Least Common Multiplier of 6 and 3 is 6

Adjust the fractions on the LCM

[tex]\frac{19}{6} - \frac{26}{3}[/tex]

Apply the Fraction Rule: [tex]\frac{a}{c} -\frac{b}{c} = \frac{a - b}{c}[/tex]

[tex]\frac{19 - 26}{6}[/tex]

Subtract the numbers

[tex]\frac{-7}{6}[/tex]

Apply the Fraction Rule: [tex]\frac{-a}{b} = - \frac{a}{b}[/tex]

[tex]-\frac{7}{6}[/tex]

Convert improper fraction into a mixed number

[tex]-1\frac{1}{6}[/tex]

Hope this Helps :)

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

x=1

y=-1

Answer:

I only can see that one of them are B i don't know for the rest

Step-by-step explanation:

Step-by-step explanation:

triangle BCD ~ triangle EFD so

angle BCD= angle EFD

9x+2=15x-52

6x=54

x=9

angle CBF =9x+2=83°

In the triangle ΔCBD, the angle measure of ∠CBF is 83°.

When the triangles have equal shape, but different sizes. It is called as similar triangles. The corresponding angles are congruent. And the sizes have the same proportionality rate.

Given:

The angle measures,

∠CBD = (9x + 2)°

∠EFD = (15x -52)°

From the diagram,

ΔCBD is similar to ΔEFD.

So, the corresponding angles are equal.

∠CBD = ∠EFD

(9x + 2)° = (15x -52)°

15x - 9x = 52 + 2

6x = 54

x = 9°

And ∠CBF = ∠CBD

So, ∠CBF = (9x + 2)°

Substituting the value of x,

∠CBF = (9(9) + 2)°

∠CBF = 83°

Therefore, the angle measure of ∠CBF is 83°.

To learn more about the similar triangles;

https://brainly.com/question/14926756

#SPJ2

Answer:

the answer is C trust me by

Answer:

4.5 inches per week

Step-by-step explanation:

Easy conversions

Answer:

[tex]y = \frac{-8}{3}x - 8[/tex]

Step-by-step explanation:

Solving for the equation of the line with two points:

Let's remind ourself of the slope - intercept formula:    [tex]y = mx + b[/tex]

We first have to find the slope of the line. This is found by using the formula :

[tex]\frac{y_1 - y_2}{x_1 - x_2}[/tex]

We have to find the change in y (Δy) and divide it by the change in x (Δx)

We then have to plug in a coordinate given to us, and use the point's x and y value to find the y - intercept

Let's use the slope formula

[tex]\frac{0 - (-8)}{-3 - 0} = \frac{8}{-3}[/tex]

Slope = -8/3

To find the y - intercept, we'll update our slope - intercept formula with the slope, and plugin a point. Let's use (-3,0)

[tex]y = \frac{-8}{3}x + b[/tex]

[tex]0 = \frac{-8}{3}(-3) + b[/tex]

[tex]0 = \frac{24}{3} + b[/tex]

[tex]0 = 8 + b[/tex]

[tex]b = -8[/tex]

Let's input our slope and y - intercept to the equation     [tex]y = mx + b[/tex]

Slope = -8/3

Y - Intercept = -8

Equation:    [tex]y = \frac{-8}{3}x - 8[/tex]

-Chetan K

Answer:

Hence, the value of x is 9°

Step-by-step explanation:

7x + 14 = 9x - 4. [(Corres. ∠s]

⇛ 7x - 9x = -4 - 14

⇛-2x = -18

⇛x = -18÷-2

⇛x = 18/2

∴ x = 9

NOW,

Read more:

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