You are in your backyard with your pets. In one area, you count 108 legs. You count 41
animals. You have a combination of bunnies and chickens. How many of each type of animal do
you have?
Write a system of equations (make sure to define your variables first!), and then solve
this problem. Then, solve in a different way.

You Are In Your Backyard With Your Pets. In One Area, You Count 108 Legs. You Count 41animals. You Have

Answers

Answer 1

Answer:

Bunnies= 13    Chickens=28

Step-by-step explanation:

Let's put

x = bunnies------4 legs

y = chickens-----2 legs

x + y = 41----------------x= 41-y

4x+ 2y = 108

replace in 2nd equation

4(41 - y) + 2y = 108

164 - 4y + 2y = 108

2y = 56

y = 56/2= 28

x = 41 - 28= 13


Related Questions

If the number of bacteria in a colony doubles every 21 hours and there is currently a population of 150 bacteria, what will the population be 42 hours from now?

Answers

Answer:

450

Step-by-step explanation:

i think thats right

Please answer correctly! I will Mark you Brainliest!

Answers

Answer:

the height is 9

Explanation:

8 × 10 = 80

720 ÷ 80 = 9

What is the area of the shaded region in the given circle in terms of pi and in simplest form?

A) (120pi + 6 sqrt 3) m^2

B) (96pi + 36 sqrt 3) m^2

C) (120pi + 36 sqrt 3) m^2

D) (96pi + 6 sqrt 3) m^2

Answers

Answer:

Area of the shaded portion = (120π + 36√3)sq. m

Step-by-step explanation:

Area of the shaded region = Area of circle - Area of triangle

Given

radius of the circle = 12m

Area of the circle = πr²

Area of the circle  = π(12)²

Area of the circle  = 144π m²

Area of the sector = theta/360 * πr²

Area of the sector =  60/360 * 12²π

Area of the sector = 60/360 * 144π  = 24π

Area of the triangle = 1/2 bh

Area of the triangle = 1/2 (12cos30)(12)

Area of the triangle = 36√3

Area of the shaded portion = (144π - 24π + 36√3)sq. m

Area of the shaded portion = (120π + 36√3)sq. m

first come first sevred brainiest

Answers

Answer:

A.

1.

125

2.

47.5

B.

30

Exp.:

A.

1. (60x100)/48

2. 57/ 120(fraction)  x 100% = 47.5%

B.  (24×100)÷80


The measures of the angles in an equilateral triangle are equal.

What is the measure of each angle of an equilateral triangle?
O A. 30?
B. 45?
C. 60?
O
D. 90?
O

Answers

Answer:

C. 60°

Step-by-step explanation:

because all angles in a triangle sum up to 180°

60°+60°+60°=180°

A video game rental store charges a $20 membership fee and $2.50 for
each video game rented. What is the linear equation that represents this
word problem?

Answers

Answer:

y = 2.50x + 20 ( the 2nd option)

PLEASE hELp ASAP WILL MARK BRAINLIEST!

image of the question down bellow which on is the correct option?

Answers

Answer:

Its b

Step-by-step explanation:

The number line is saying people spend 70 n below.

1,find the equation of the line with y-intercept (0,8) and slope ⅗. 2,Find the slope and y-intercept of y=10x-⅓. 3,Find the slopes of the lines containing these points. a) (4,-3) and (6,-4) b)

Answers

Answer:

1) y = 3/5x + 8

2) Slope: 10

   y-intercept: -1/3

3) y = -1/2x - 1

Step-by-step explanation:

1) The equation you need to refer to for this problem is y = mx+b

m = slope (3/5 for this problem)

b = y-intercept(which is 8)

plug those numbers in and you get y = 3/5x + 8

2) look back at this equation: y = mx+b

10 is the slope and -1/3 is the y-intercept

3) This one is a bit more difficult as you need two other formulas to solve:

the slope formula, y1 - y2/x1 - x2, and the point-slope formula,

y - y1 = m(x - x1)

For this problem, you have the coordinates (4, -3) and (6, -4) which you would plug into the slope formula, like this:

-3 -(-4)/4 - 6 = -1/2

the numbers 1 and 2 in this formula refer to the first (x,y) value and the second. You subtract the two y values and the two x values, simplify, and you get your answer.

-1/2 is going to be the m, or slope, that you will use in the second formula, the point slope formula, y - y1 = m(x - x1)

To solve this you choose one of the original coordinates that you were given to plug into the y1 and x1, and plug -1/2, your slope, in for m:

(keep in mind, for this, I used (4,-3) but you can use either one)

y -(-3) = -1/2(x - 4)

To solve this you, first, distribute -1/2 to x and -4 inside the parentheses:

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

Then, on the other side, add the to negatives to get a positive 3:

y + 3 = -1/2x + 2

and subtract 3 from both sides:

y = -1/2x - 1

I hope this isn't too confusing

good luck!

Please answer!
What is the mean of this data set?

Answers

Answer:

ᴅ. 35.6

Step-by-step explanation:

#CᴀʀʀʏOɴLᴇᴀʀɴɪɴɢ
Hopes this helps:

Answer: A. 40.1

Mean- The AVERAGE OF ALL NUMBERS: You add up all the numbers then you divide it by the TOTAL NUMBER of NUMBERS!

In the diagram, the ratio of AB to AE is 1/2. What is the ratio of the length of DB to the length of CE?

Answers

Answer:3/2

Step-by-step explanation:

HELP

Triangle ABC has vertices A(-6, 4),
B(6, 4) and C(-6, -1). What is the
perimeter of triangle ABC? What is the
area of triangle ABC?

Answers

Answer:

a

Step-by-step explanation:

i need help with this
Quadrilateral
Kite
Trapezoid
Isosceles Trapezoid
None of these
Rectangle
Square
Parallelogram
Rhombus

those r the options

Answers

parallelogram
hope it helps
the shape is a trapezoid

During the day, Lola's dog is tied by rope to a tree in the center of her yard. The scale drawing below shows the area that the dog has to run, in inches. If the actual length of the rope is 11 2/3 feet, what is the scale used in the drawing?

Answers

Answer:

5 /448

Step-by-step explanation:

Radius in drawing = 1 9/16 in

The actual length of rope = 11 2/3 feets

Converting actual length to inches :

1 feet = 12 inches

11 2/3 feets = (11 2/3) * 12 = 140 inches

To obtain the scale used, we divide the Radius in the drawing by the actual length :

1 9/16 ÷ 140

25 /16 ÷ 140

25 /16 * 1 /140

= 25 / 2240

= 5 /448

Hence, scale is 5 /448 times the actual length of drawing

Hence :

The scale used is :

1 feet = 7.4666 inches

Answer:

5/488

Step-by-step explanation:

HELP HELP HELP HELP HELP PLEASEEE

Answers

Answer:  

E and B

Step-by-step explanation:

Watch help video
Write an
explicit formula for An, the nth term of the sequence 32, 25, 18, ....

Answers

Answer:

         [tex]\bold{a_n=-7n+39}[/tex]

Step-by-step explanation:

25 - 32 = -7  and 18 - 25 = -7

It means an arithmetic sequence with common difference d = -7

[tex]a_n = a_1+d(n-1)\\\\a_1=32\\d=-7\\\\a_n=32+(-7)(n-1)\\\\a_n = 32-7n+7\\\\\underline{a_n=-7n+39}[/tex]

А (5x + 8)° 118° B What is the value of x?​

Answers

Answer:

Not sure if its right

Step-by-step explanation:

A+B=118°

(5x+8)°=118°

13x°=118°

13x/13=118/13

x=9.07

Identify the equation modeled below,and then find its solution

Answers

Answer:

H

Step-by-step explanation:

4x-4=-x-1 = 3/5 or .6

(I’m needing help ASAP please )

Answers

Pretty sure the answer is 90

What is the slope of a line that passes through the points (12,7) and (-14,19)?
F) -13/6
G) -1
H) -6/13
J) 3​

Answers

Answer:

H) -6/13  

Step-by-step explanation:

To find the slope of the line between a pair of two points, use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of (12,7) and (-14,19) into the formula and simplify like so:  

[tex]m = \frac{(19)-(7)}{(-14)-(12)} \\m =\frac{19-7}{-14-12} \\m = \frac{12}{-26} \\m = -\frac{6}{13}[/tex]

So, Option H is correct.

If the car spends no time going 35 miles per hour how long would the trip take?

Answers

Answer:

can you specify how fast the car is going? if the car goes 35 miles per hour and the trip is 3 hours its 105 miles in total for your trip. I hope this helps.

The total time that the car will take to cover the trip would be {x}/35 hours.

What is distance?

Distance in kinematics is defined as the product of speed and time.

Mathematically, we can write distance covered as -

distance = speed x time

Given to find the time duration of trip if the car is travelling at 35 miles per hour.

Assume that the total distance that has to be travelled by the car is {x}

miles. From the formula of distance covered, we can write that -

distance = speed x time

time = distance/speed

time = x/35

Therefore, the total time that the car will take to cover the trip would be {x}/35 hours.

To solve more questions on distance covered, visit the link-

https://brainly.com/question/20271103

#SPJ2

I NEED HELP ASAP GEOMETRY 10TH GRADE

Answers

Answer:

4

Step-by-step explanation:

1. AB:BC is 1:2

2. Add the 1 and the 2

(3)

3. Find the distance between -7 and 26

26-(-7) = 33

4. Divide the distance by 3

33/3 = 11

5. Find the distance from A---->B

-7 + 11 = 4

If BC = 6 and AD = 5, find DC.

Answers

The answer is 4. You should’ve posted a picture

please with this problem I'm not sure what to put
..............

Answers

Answer:

D. Even and shifts downwards

Explanation:

When a number outside of the parentheses effect the function, it is considered the y.

So, the -4 would cause the function to shift downwards 4 units.

However, it would change the even and odd because you would have to place a negative sign in front of the x.

4. An oil palm plantation uses fertiliser at a rate of 350 kg per hectare. State the rate of
fertiliser consumption in g per m². [1 hectare = 10 000 m²]​

Answers

Answer:

35

Step-by-step explanation:

1kg= 1000g

1 hectare = 10 000 m²

1 kg/hct = 1000/10 000 g/m²

1 kg/hct = 1 / 10 g/m²

350 kg per hectare is equal to 350 / 10 = 35 g/m²

La suma del triple de un número y nueve veces el mismo número es igual a 120. Hallar el número. 3) Hallar el valor del número z sabiendo que la quinta parte de su tercera parte es igual a 3. 4) Andrés tiene seis veces la edad de Jaime aumentada en 18 e igualada a 36. Hallar la edad de Jaime.

Answers

Answer:

El primer número es 10.

z = 45.

La edad de Jaime es de 3 años.

Step-by-step explanation:

Estos problemas los podemos resolver planteando las ecuaciones:

El triple del número (3X) + 9 veces el mismo número (9X) = 120

3X + 9X = 120

12X = 120

X = 120 / 12

X = 10

El primer número es 10

La quinta parte de z es z/5 la quinta parte de su tercera parte es (z/5)/3 = 3

z/15 = 3

z = 45

6Jaime + 18 = 36

6Jaime = 18

Jaime = 3

La edad de Jaime es de 3 años

find the least common denominator for the fractions: 5/5, 1/10, 3/4

Answers

Answer:

20

Explanation:

5 10 15 20

10 20

4 8 12 16 20

Answer:

20

Step-by-step explanation:

Let's list some multiples of each denominator

5: 5, 10, 15, 20, 25, 30

10: 10, 20, 30, 40, 50, 60

4: 4, 8, 12, 16, 20, 24, 28

The common denominator (LCD) is 20

So lets input

20 / 20, 2/20, 15/20

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

8 · (x · 4) simplified

Answers

Answer:

8x · 32

Step-by-step explanation:

u multiply the 8 and the x together and it gets 8x

then u multiply the 8 and the 4 and then ur done

Answer:

3.2x

Step-by-step explanation:

Help me. My pet rat....er my sister needs help with 6th grade work.

Answers

Answer:

A

Step-by-step explanation:

Because if your going to divide a whole the whole number needs to be 3/1 so it A the mistake

Answer:

A.) Step 1

Step-by-step explanation:

The actual answer is g=4.

Trevor screwed up at Step 1.

His answer (g = 4/9) to Step 1 (g/3 ⋅ 3 = 4/3 ⋅ 1/3 ) is correct, but it's not the correct answer for g/3 = 4/3.

In Step 1, Trevor's equation was accurate, until the last number (1/3).

If he had flipped 1/3 to 3/1, he would've been correct.

g/3 ⋅ 3 = 4/3 ⋅ 1/3 ← MISTAKE.

Hope this helps out your pet ra- I mean sister.

Is 72 km/h faster than 20 m/s

Answers

Answer:

no.both are equal.

Step-by-step explanation:

72 km/h=72000/(60×60)=20m/s

Answer:

They are equal

Step-by-step explanation:

72 Kilometers per Hour equals the same as 20 Meters per Second.

There are 40 students in a class. Boys makeup 40% of the class. If 25% of the boys wearshirt jacs, how many boys wear shirt jacs?​

Answers

Answer:

6

Step-by-step explanation:

Find out how many boys makeup the class.

100% = 40

1% = 40 ÷ 100 = 0.40

40% = 0.40 x 40 = 16

Find 25% of the class.

25% = 0.40 x 25 = 10

40 - 25 = 15% of the boys wear shirt jacs.

16 - 10 = 6

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