A biologist recorded the population growth of two species of frogs in a pond area starting in 2010. The first species started with 42 frogs and increased by 6 frogs per year. The second species started with 30 frogs and increased by 8 frogs per year.

make an equation modeling equal populations of the frogs at T years after 2010.

Answers

Answer 1

Answer:

42 + 6t = 30 + 8t

Step-by-step explanation:

1st species starts with 42f. They gain 6 frogs a year, with the letter 't' representing years. 42 + 6t would be the rate for the first species. 2nd species starts with 30 and gains 8 frogs a year, the letter 't' also representing years. So 30 + 8t would be the rate. Writing an equation to find when the groups are equal, it would result in 42 + 6t = 30 + 8t

To find the answer to this,

42 + 6t = 30 + 8t

Step 1: Subtract 30 from both sides

42-30 +6t = 30-30 + 8t

12 + 6t = 8t

Step 2: subtract 6t from both sides

12 + 6t-6t = 8t-6t

12 = 2t

Step 3: divide both sides by 2

12/2 = 2t/2

6 = t

Step 4 : Rearrange

t = 6

Answer = 6


Related Questions

There are 40 students in a class and 30% of these students passed their history test.
What number of these students passed the test?
What part of the percent proportion are you missing?

Answers

Answer:

12 10

Step-by-step explanation:

Express 5% as a decimal

Answers

Answer:

.05

Step-by-step explanation:

you divide 5 by 100 which makes it .05

It's 12:18 What time will it be 45 minutes from now

Answers

Answer:

yes

Step-by-step explanation:

Answer:

1:13

Step-by-step explanation:

6x - 4x - 2 + 11x help pls

Answers

Answer13x-2

Step-by-step explanation:

6x-4x=2x+11x=13x

13x-2

The radius of a circle is 1 mm. What is the circle's circumference? ​

Answers

Answer:

C≈6.28mm

Step-by-step explanation:

C=2πr

= 2·π·1≈6.28319mm

Answer:

6.283 mm

Step-by-step explanation:

the equation for circumference is 2[tex]\pi[/tex]r

if the radius is 1 then insert it

c=2[tex]\pi[/tex](1)

c=6.283 mm

The question is in the image. Thanks for your help!

Answers

Answer:

The value of x is 12 is not true.

Step-by-step explanation:

Since the line intersecting them are at a diagonal, it is not possible that the other of the lines both equal 115. Everything else in the choices is true.

please help im being timed 4 minutes each question i will give brainliest 6th grade math

Answers

Answer:

The answer is A I and II

Step-by-step explanation:

Complete the sentence with the word "element" or "compound."

O is a(n)
and H2O2 is a(n)
.

Answers

Answer:

O is an element (Oxygen) and H2O2 is a compound (Hydrogen Peroxide)

Exercice 2: Un remorqueur tire un bateau à la vitesse de 10 noeuds. La tension du câble est de 2500N, Le câble est parallèle à la trajectoire. Calculer la puissance correspondante. (Une vitesse moyenne de 1 noeud correspond à un parcours de 1 mille marin, soit 1852 m, en 1 heure. D'où : 1 noeud = 1,852 km/h = 0,514 m.S")

Answers

Répondre:

1 285 watts

Explication étape par étape:

La puissance est exprimée selon la formule;

power = travail effectué / temps

Puissance = Force * (distance / temps)

Depuis Vitesse = distance / temps

Puissance = Force * vitesse

Donné

Force = 2500N

Vitesse (en m / s) = 0,514 m / s

Obligatoire

Puissance

Remplacez la formule donnée;

Puissance = 2500 * 0,514

Puissance = 1,285Watts

Par conséquent, la puissance correspondante requise est de 1285 watts

A baseball team played 30 games throughout their entire season. They won 24 of
them. What percentage did they win?
What part of the percent proportion are you missing?

Answers

Answer:

1.25

Step-by-step explanation:

hope this help

If someone could attempt this I would appreciate it:) only if you know if that it is totally fine

Answers

Answer:

asd

Step-by-step explanation:

Answer:

a) The vertex will be at (-2, -1), and the parabola will look like a smiley face. 5 points on the parabola would be: (3, 24), (-3, 0), (2, 15), (-1, 0) and (1, 8).

b) The focus will be at (-2, 0), the directrix will be at y = -2, and the axis of symmetry will be at x = -2.

Step-by-step explanation:

a) The vertex (-2, -1) can be found by first setting the parentheses (x+2) equal to zero and solving to get the x value -2, then setting x equal to zero and solving to get the y value of -1.  

The parabola will be pointing up on both ends because the equation for it is positive (given 1 multiplied by parentheses) and it has a degree of 2.

The xy table to find the points would look like this:

x       |         y

3       |      24

-3       |        0

2       |       15

-1        |        0

1        |        8

b) The focus is one unit above the vertex, so the y value increases by 1. The directrix is a line 1 unit below the vertex, so its y value is 1 less than the vertex's. The axis of symmetry is the same as the x value of the vertex with infinite y values.

Solve x2 + 9x + 9 = 0. (2 points)

a
quantity of negative 9 plus or minus 3 square root of 5 all over 2

b
quantity of 9 plus or minus 3 square root of 5 all over 2

c
quantity of negative 9 plus or minus square root of 117 all over 2

d
quantity of 9 plus or minus square root of 117 all over 2

Answers

Answer:

Letter A.

Step-by-step explanation:

.........................................

The solutions to the quadratic equation are:

x = (-9 + 3√(5)) / 2 or x = (-9 - 3√(5)) / 2

Option A is the correct answer.

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

Quadratic equation x² + 9x + 9 = 0.

a = 1, b = 9 and c = 9

We can use the quadratic formula.

x = (-b ± √(b^2 - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation.

Now,

Plugging in the given values.

x = (-9 ± √(9^2 - 4(1)(9))) / 2(1)

Simplifying.

x = (-9 ± √(81 - 36)) / 2

x = (-9 ± √(45)) / 2

x = (-9 ± 3√(5)) / 2

Therefore,

The solutions to the quadratic equation x^2 + 9x + 9 = 0 are:

x = (-9 + 3√(5)) / 2 or x = (-9 - 3√(5)) / 2

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ2

Proceeds to rob your house

Answers

Answer:

proceeds to scroll on iphone

Can someone help me solve this problem?

-1= 3 + 4×​

Answers

Step-by-step explanation:

hope this helps

If the given is -1= 3 + 4x then the answer is x= -1

-1= 3 + 4x

-1-3=4x

-4=4x

To find the x divide both sides by 4.

-4/4=4x/-4

x= -1

how do you do i identify the slope and the y- intercept of the line graphed or what’s the answer

Answers

The y-intercept is the line that crosses the y-axis which is at 2 and the slope you can use the slope formula I picked any two points on the line and found out my slope or you can use rise/run

Answer: slope: -2
Y-intercept: 2

During a basketball game, Isaias attempted 20 baskets and made 6. What percent of the baskets that he attempted did he make?

Answers

Answer:

30% hope this is rightttt

The distance between the market and the bakery is 100 yards between the bakery and the flower shop is 150 yards and between the flower shop and the market is 76 yards do these three locations form a right triangle?

Answers

Answer:

no

Step-by-step explanation:

2.8 - 0.92 mathematics

Answers

If you subtract 2.8 from 0.92, you will get 1.88

Plzz hurry helpp I’ll give brainliest

Answers

I think the answer is c

Answer:

The answer is b

Step-by-step explanation:

replaced (-6,1) in B

1 = -2/3(-6) -3

1 = 12/3 -3

1 = 4-3

1 = 1

What is the x value of this equation?

Answers

You have to go to heaven and you can call me when I can get it to you I don’t want you have

What is the slope of (4,16) and (-3,2)

Answers

Answer:

When x=0, y = 8

When y=0, x = -4

Step-by-step explanation:

Answer:

M = 2

Step-by-step explanation:

there were 8 times as many blue cubes as red,in a box there were 6 red cubes.How many blue cubes were there

Answers

48

Step-by-step explanation:

Select the correct answer. If you add 12 marshmallows to each of 5 bags of marshmallows, and each bag started with the same number of marshmallows, the total number of marshmallows is given by the expression 5(x + 12). Identify an equivalent expression. OA X + 12 B. 2x - 60 C. 5x + 60 D. 2x - 60

Answers

i think that the answer is  B. 2x-60

4x+y=6
y=-4x-1
HELP ME

Answers

Answer:

No solution

Step-by-step explanation:

Given

4x+y=6 y=-4x-1Solution 1

Substitute y in the first equation:

4x + (-4x - 1) = 64x - 4x =6 + 10 = 7

Incorrect, therefore no solution

Solution 2

Writing both equation as lines:

y = -4x + 6y = -4x - 1

As we see both lines have a same slope. It means they are parallel and no intersection.

Which property of multiplication is shown by the equation 14 • y • 1 = 14y?


Group of answer choices

Associative

Distributive

Commutative

Identity

Answers

Answer:

Multiplicative identity is the property shown by this equation

Step-by-step explanation:

Multiplicative identity is explained as the product of any number and one is that number. Multiplicative identity is a property exhibited by most of the mathematical tools.

Zero and one are the numbers used to simplify equations whereas zero is called the additive identity. If we add any number with zero, it will result in the same in number.

Like that 1 is used in multiplicative identity.  More simple example could be  5 ˣ 1 = 5 ., it is the multiplicative identity  property

Malawi exports approximately 1 × 10 3 metric tons of coffee per year, and Venezuela exports approximately 3 × 10 4 metric tons of coffee per year. Approximately how many times greater is Venezuela's coffee export amount than Malawi's?

Answers

Answer:

Venezuela's export of coffee is 30 times greater than Malawi's.

Step-by-step explanation:

Malawi's exports = 1 × 10³ = = 1 × (10 × 10 × 10) = 1 × 1000 = 1000 metric tons

Venezuela's exports = 3 × 10⁴ = 3 × (10 × 10 × 10 × 10) = 1 × 10,000 = 30,000 metric tons

To find by how many times greater is Venezuela's coffee export amount than Malawi's, we will divide the former by the later.

[tex]\frac{Venezuels's\ export}{Malawi's\ export} = \frac{30,000}{1000} = 30[/tex]

Therefore, Venezuela's export of coffee is 30 times greater than Malawi's.

Solve the system by elimination . 2x-y=10 , -3x+y=-12

Answers

Answer:

x would equal 2 and y would equal -6 so, (2,-6)

Step-by-step explanation:

Answer:

x = 2

y = -6

Step-by-step explanation:

add the equations

2x-y=10            

   +          

-3x+y=-12

-x =- 2

x=2

substitute

2x-y=10

2(2)-y=10

-y=6

y=-6

hurrryrryryryuwguygwefgeiuwfgiurgfiurefrfrefreferfre

Answers

Answer:

-11/3= -3.6 repeating

Step-by-step explanation:

Plz mark B R A I N L I E S T

Answer:

Exact Form:

-11/3

Decimal Form:

-3.6

Mixed Number Form:

NEGATIVE 3 AND 2 THIRDS

Step-by-step explanation:

Is it true or false?

Answers

Answer:

true

Step-by-step explanation:

Brainliest?

A half dozen cupcakes cost 15$ . what constant of proportionality relates the number of cupcakes at total cost ?

Answers

Answer:

The constant of proportionality is 2.5 dollar per cupcake

Step-by-step explanation:

the required equation would be \(y=2.5x\).

Answer:

$2.50

Step-by-step explanation:

trust me I know I'm right

Other Questions
Help me with ap psychology pls What is the equation of the line, in general form, that passes through the point (1, 1) and has a y-Interceptof 2Ox+y20Ox-y + 20OX-y-20 Which choice best defines heredity?A. the technology that enables scientists to insert genetic information from one organism into anotherB. the joining of sex cells to form the first cell of a new organismC. the passage of genetic instructions from one generation to the nextD. the cycle through which an organism grows from a young form to a mature form Lee starts entering data into the table. He types in the mass of Mercury. Next, he wants to type in the diameter of Mercury.A 3 column table with 4 rows. Column 1 is labeled Planet with entries Mercury, Venus, Earth, Mars. Column 2 is labeled Mass (10 Superscript 24 Baseline kilograms) with entries .33, blank, blank, blank. Column 3 is labeled Diameter in kilometers with 4 blank entries.What should he do to get to the appropriate cell? pls answer itwill give brainlist Which of these is the best procedure to determine the concentration of a basic solution?Click the answer you think is right.Titration with an acidFlame testDensity determinationPrecipitation followed by gravimetric analysisDilution with H20 the number of miles traveled varies directly with the number of hours traveled, the relationship isshown in the graph below. what is the rate of speed in miles per hour? Please help me with these 7 questionsI'll give brainliest I'm good at football a. Playing b. Play c. Plays Sonographers are responsible for writing preliminary reportsTrue or False A 2.00-m rod of negligible mass connects two very small objects at its ends. The mass of one object is 1.00 kg and the mass of the other is unknown. The center of mass of this system is on the rod a distance 1.60 m from the 1.00-kg mass object. What is the mass of the other object?A) 0.250kg B) 4.00kg C) 4.11kg D) 0.800kg E) 3.22kg help please 1234422=to the 167 Square Team A is serving and Team B is receiving. Team A serves the ball and Team B must allow the ball to bounce before they hit it back over, and Team A must allow the ball to bounce on their side before they continue. What is the name of this rule? Could someone help me with this matching please!! Will give brainlies Noah has 70 baseball cards. He wants to put the cardsin a book. He can fit 10 cards on each page of the book.Which number sentence can be used to find the numberof pages Noah can fill with baseball cards? HELP PLEASE !!!!!!!!!!!!!!! Find the slope of the line going through the points (11,5) and (20,5) What is the force acting an object that is accelerating at 3.6 m/s/s and has a mass of 15 kg? Why did the United States of America refuse to annex Texas during both administrations of Republic of Texas President Sam Houston? A)The United States did not like President Sam Houston because he was considered a dictator by all.B)Texas was a slave state, and that would upset the balance of free and slave states in the United States.C)The United States was not interested in adding anymore states because the country was big enough.D)The Republic of Texas was in debt to Europe, and did not have anything to offer the United States, Can someone write 3 complex sentences i really need some help thank you!!!:)DUE TODAYYYY AT 10!!!!!1