A scientist tracks wolf populations in two parks. One population consists of 20 wolves and is increasing by an average of 2 per year. The other consists of 15 wolves and is increasing by an average of 3 per year. Write an equation that can be used to determine how many years, y, it will take for the two populations to be equal.

Answers

Answer 1

Answer:

it will take 5 years for them to be equal

Step-by-step explanation:

1st year they will be 22-18

2nd year they will be 24-21

3rd year they will be 26-24

4th year they will be 28-27

Finally the 5th year they will be 30-30


Related Questions

Answer this and explain please

Answers

Answer:

x = 3

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that's supplementary to the third interior angle:

15x + 5 + 22x + 4 = 120 add like terms

37x + 9 = 120 subtract 9 from both sides

37x = 111 divide both side by 37

x = 3 and to find the angles replace x with 3 in given expressions

6(x + 7.50) = 4(2x + 9.50), what is the value of x?

Answers

Answer:

x=3.50

Step-by-step explanation:

6(x+7.50)=4(2x+9.50)

6x+45=8x+38

6x-8x=38-45

-2x = -7

x = -7/-2

x = 3.50

In a right triangle one angle is 55° and the hypotenuse is 20 mm which expression will give you the correct length in millimeters of the leg adjacent to the 55° angle?

Answers

Answer:

D   20cos55º

Step-by-step explanation:

cos = adj/hyp

cos55 = adj/20

20cos55 = adj

i need to know the answer to number one

Answers

Answer:

If the slope of the line is 3, it either decreases or increases by 3 everytime. (3x) If the y-intercept is 0, then when the line intercepts with the graph, it will intercept with (0, 0)

Step-by-step explanation:

Basically, the slope means how much the line increases or decreases. The y-intercept means where the line will intercept or start on the y-axis. If the y-intercept was 5, it would be (0, 5)

The answer is 69 hope this helps :)

Sabrina wants to go from her house to a park. The park is 6.8 miles away from her house. To get there, she heads east for 1.6 miles. Then she turns
and travels north until she reaches the park.

Answers

The answer is C, 6.6 miles.

Answer:

B

Step-by-step explanation:

I've done these type of questions before, pretty easy you can even figure it out without paper, just pure logic.

Bethany has $20 to take some friends and herself to the movies A movie ticket costs $7.75. Write an inequality to help Bethany determine how many people can go to the movies with the $20.

Answers

Answer:

Only 2 people would be able to go and she would have $5.50 to spend on snacks.

Answer:

2 friends

Step-by-step explanation:

20< 7.75(x) you have to have a less number than the total

About 2% of the population has a particular genetic mutation. 400 people are randomly selected. Find the mean for the number of people with the genetic mutation in such groups of 400.

Answers

Answer:

200

Step-by-step explanation:

So it'll be 400 ÷ 2 = 200 , and a way to to check your way would be 200 x 2 = 400

Z is the centroid of AUVW. U X Z W Y What is UY if UZ = 8? Ο Α. 4 B. 8 O C. 6 O D. 12
Help Please!!​

Answers

Answer:

D

Step-by-step explanation:

The distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint, that is

ZY = [tex]\frac{1}{2}[/tex] UZ = [tex]\frac{1}{2}[/tex] × 8 = 4

Then

UY = UZ + ZY = 8 + 4 = 12 → D

Here is a linear sequence.

4 11 18 25

Work out an expression for the nth term.

Answers

Answer:

7n-3

Step-by-step explanation:

You find the difference, 11-4 is 7, 18-11 is 7 ect. This is how we get the 7n. And because it is a linear sequence, we won't have to worry about finding the second difference. So then you get 7 and minus it from the first term. 4-7 is -3. Which is were we get the last part of our equation from. And we can checn this by inputting the number 1, for the first term. 1 times 7 is 7, -3 which is 4. This shows it is right and your answer is 7n-3.

Suppose the voltage in an electrical circuit varies with time according to the formula V(t) = 40 sin(t) for t in the interval [0,].

The numerical value of the mean voltage in the circuit is

Answers

The numerical value of the mean voltage is 25.47 V

To find the numerical value of the mean voltage, V of V(t) = 40 sin(t), we integrate V(t) with respect to t over the interval [0.π]

So,

[tex]V = \frac{1}{\pi } \int\limits^\pi _0 {V(t)} \, dt \\V = \frac{1}{\pi } \int\limits^\pi _0 {40sint} \, dt \\V = \frac{1}{\pi } [-40cost]_{0}{\pi } \\V = \frac{1}{\pi } -[40cos\pi - 40cos0]\\\\V = \frac{1}{\pi } (-[40 X (-1) - 40 X 1})\\V = -\frac{1}{\pi } [-40 - 40]\\V = \frac{80}{\pi } \\V = 25.465 V[/tex]

V ≅ 25.47 V

So, the numerical value of the mean voltage is 25.47 V

Learn more about mean volatage here:

https://brainly.com/question/17928028

Using the slope program, create the line y = 2x. Keeping the line the same, move one (or both) of the points so the triangle created by the points has a vertical length of 10 units. What is the horizontal length? Does this horizontal length match the answer you found in the previous question?

Answers

Answer:

x = 5 units

Step-by-step explanation:

Use the proportion we have to find the horizontal length:

y = 2x

When y = 10, the value of x is:

10 = 2xx = 10/2x = 5

[tex]\\ \sf\longmapsto y=2x[/tex]

Vertical length=yHorizontal length=x

Put y=10 in equation

[tex]\\ \sf\longmapsto 10=2x{/tex]

[tex]\\ \sf\longmapsto x=\dfrac{10}{2}[/tex]

[tex]\\ \sf\longmapsto x=5units[/tex]

marcus piano teacher wanted him to practice 1.5 hours before she saw him on friday afternoon he practiced 18 minutes on monday 23 minutes on tuesday 16 minutes on wednesday and 13 minutes on thursday. how long did he have to practice on friday morning to meet his goal? what fraction of an hour is that? pls help 15 if correct

Answers

he would have to practice 20 minutes on friday

18 + 23 + 16 + 13 = 70

1.5 hours = 90 minutes

90-70 = 20 minutes

2/9

What is an equation of the line that passes through the points (-6, -5) and (-3, 0)?

Answers

Answer:

Y=5

Step-by-step explanation:

April borrows $60 from her grandmother to buy basketball shoes. At the end of the first week, April pays back $5. At the end of each of the following weeks, she pays back $3 more than she did the previous week. The arithmetic sequence 5, 8, 11, 14,. . . Can be used to represent this situation. In this sequence n represents what?.

Answers

Answer: Number of weeks

Step-by-step explanation:

Just did it on Ed

Is this relation a function? Justify your answer. a 10 av DOO 4 3 - NA 1 2 3 4 5 6 7 8 9 10 A. Yes, because every x- and y value is positive. B. Yes, because the number of x-values is the same as the number of y values. C. No, because two points with the same x-value have different y values. D. No, because two points with the same y-value have different x- values.​

Answers

Answer:

The answer is C

Step-by-step explanation:

slope of a line perpendicular to the line whose equation is 6x+4y=−56, fully reduced

Answers

Answer: Answer

1.0/5

1

angelinagalindo127

Ambitious

40 answers

2.2K people helped

Answer:

First, put the equation of the line given into slope-intercept form by solving for y. You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6.Step-by-step

Step-by-step explanation: |\   /|

\|_|/

/. .\

=\_Y_/=

{>o<}

Ricky Bobby was designing everything in the garden. He wanted the longest side to be 3 feet less than four times the shorter side. He used 50 feet of board to make the garden.

What are the dimensions of the garden that Ricky Bobby made?

How much area was there inside the garden?

If pumpkin plants need 5 ft.² of space to drive how many pumpkin plants can Ricky Bobby plant?


Helpp I don’t get this

Answers

Answer:

5.6 by 19.4

108.64 ft²

21 pumpkins

Step-by-step explanation:

Set length of shorter side as x. Then, the longer side is 4x - 3

He used 50 feet of board, which means, using the formula for perimeter:

x + 4x - 3 + x + 4x - 3 = 50

Simplify and solve.

10x - 6 = 50

10x = 56

x = 5.6

Plugging this back into our first two equations, we find that shorter side = 5.6 and longer side = 19.4

This means the dimensions of the garden are: 5.6 by 19.4

Area = length times width, so the area is 108.64 ft²

The plants need 5ft², so he can fix a maximum of 108.64 ÷ 5 = 21.728

Because you cannot have 0.728 pumpkins, he can only fit 21 pumpkin plants.

Please see help, please

Answers

Answer:

69

Step-by-step explanation:

420

What does this multiplication equation mean?

6 × 7 = 42

Select each correct answer.


Seven more than 6 is equal to 42.

Seven times as much as 6 is equal to 42.

Six times as much as 7 is equal to 42.

Six more than 7 is equal to 42.

Answers

Answer:

Step-by-step explanation:

Six times as much as 7 is equal to 42 would be the equation

there are 549 coins in a bottle. 1/3 of the coins are £1 coins. 164 of the coins are 50p coins. the rest are 20p coins. work out the total value of the 549 coins in pounds

Answers

Answer:

£ 305.4

Step-by-step explanation:

[tex]549*\frac{1}{3}*1+164*0.5+(549*\frac{2}{3}-164)*0.2\\\\=183+82+40.4\\\\=305.4[/tex]

please what is the answer fast very

Answers

Answer:

The answer is A (-2)^3 * 6^3

The inequality −3 < x is equivalent to the inequality x > −3.

Answers

The correct answer is 2086.56

Draw and label a figure to represent the congruent triangles. Then find x and y.

please draw and label!!! i will give brainliest.

Answers

Answer:

hope it helps

Step-by-step explanation:

<K=<N

[tex]\\ \sf\longmapsto y+4=2y-15[/tex]

[tex]\\ \sf\longmapsto 2y-y=19[/tex]

[tex]\\ \sf\longmapsto y=19[/tex]

m<K=23°m<N=23°

[tex]\\ \sf\longmapsto 2x-3=5[/tex]

[tex]\\ \sf\longmapsto 2x=8[/tex]

[tex]\\ \sf\longmapsto x=4[/tex]

PM=5

Diagram attached

SALE
75% OFF
original price!
If a desk has a sale price of $13, what was the original price?

Answers

Answer:

52$

Step-by-step explanation:

13 (75% off) so 13 is 1/4 the price.

13x4 = 52

find the measure indicated angle that makes lines u and v parallel

Answers

Answer:

91°

Step-by-step explanation:

The answer is 91°. What you do is you name the angle next to 89° with x, and you know that an angle whose arms are horizontal makes 180°. So, you go:

180°=x+89°

x=180°-89°

x=91°.

Now, there is this rule that says that when two angles are on sides like x and ? are, then they are equal. Therefore, the angle marked with ? is 91°.

Help me pleaseeeeeeeeereere

Answers

Answer:

£3.9

Step-by-step explanation:

Philip went to the shop with £9.60

spent £5.70

Money left = £9.60 -£ 5.70

                  =£3.9

Hence,

He came home with £3.9

Answer:

£3.9

Step by step explanation:

£9.60-
£5.70=
————
£3.9 (the remaining money)

Help ME ASAP

Zach solved the problem 124.8 / 24 = 5. Complete the following model with partial products to check Zach’s work with multiplication.

Part A
Drag values to the boxes to complete the partial products. Not all choices will be used.

{ 0.4 }
{ 0.8 }
{ 2 }
{ 4 }
{ 8 }
{ 10 }
{ 20 }
{ 100 }

The product for A=
The product for B =
The product for C =
The product for D =

Part B
Choose the words to complete the statement
Zach's work is ______
because the total of the partial products is _______ as the dividend.

Answers

The partial products in Zach's work are the result of multiplying each digit

in turn based on their place values.

The given problem is  [tex]\dfrac{124.8}{24} = 5[/tex]

Part A

The values to be placed in the boxes are presented as follows;

[tex]\begin{array}{|c|c|c|}&5&0.2\\&&\\20&\underline{100}&\underline{4}\\&&\\4&\underline{20}&\underline{0.8}\end{array}\right][/tex]

The total of the partial product is 100 + 20 + 4 + 0.8 = 124.8 = The dividend

Part B

The completed statement is; Zach's work is correct because the total of

the partial product is the same as the dividend.

Learn more here:

https://brainly.com/question/18613539

At 9:00 on Saturday morning, two bicyclists heading in opposite directions pass each other on a bicycle path. The bicyclist heading north is riding 4 km/hour faster than the bicyclist heading south. At 10:15, they are 40 km apart. Find the two bicyclists’ rates.

A. northbound bicyclist = 19 km/h; southbound bicyclist = 15 km/h

B. northbound bicyclist = 18 km/h; southbound bicyclist = 13 km/h

C. northbound bicyclist = 16 km/h; southbound bicyclist = 10 km/h

D. northbound bicyclist = 18 km/h; southbound bicyclist = 14 km/h

Answers

Answer:

D Option is the correct one.

Step-by-step explanation:

As,

Distance covered = 40km = 40000m(1k=1000m)

time = 10:15-9:00 = 1:15hours = 75mins

We need to find the rates of the bicyclist in one hour so, for this first we need to calculate the total distance which covered in one hour.

For calculating distance for one hour,

40000/75 = 533.33m/min (means they covered 533.33m distance in one min)

for one hour:

533.33*60= 32000m = 32km

They covered 32km distance in one hour.

Now from the given options D is the correct one because according to give condition north bicyclist covered 4km more that south one. And other reason is we also need to check the sum of distance covered by the both cyclist which must be equal to 32km.

So for A,

Sum = 19 + 15 =34 (wrong not equal to 32)

For B,

Sum = 18 + 13 = 31 (wrong)

For C,

Sum = 16 + 10 = 26(wrong)

For D,

Sum = 18 + 14 = 32 (Right)

And second distance b/w both distance is 4km.

18-14 = 4(Right)

So, D option is the right one.

I hope it will help you.

Find the slope of the line that passes through (2,3) and point (4,4)) using m=y2-y1/x2-x1

Answers

Answer: The slope is 1/2 or 0.5

PLEASE HELP.
Use the drawing tool(s) to form the correct answer on the provided graph. The graph of f(x) = x is shown on the coordinate plane. Function g is a transformation of f as shown below. g(x) = f(-2/3x)
WILL GIVE 100 POINTS.

Answers

Step-by-step explanation:

Given function:

f(x) = x

The transformation of f(x) is g(x):

g(x) = f(-2/3x) = -2/3x

The graph of g(x) is attached below

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