Susan saw birds and mice eating seeds on the ground. She counted 14 heads and 40 legs in total. How many birds and mice are on the ground?

Answers

Answer 1

Answer:

Number of mice = 6

Number of birds = 8

Step-by-step explanation:

Given:

Total number of heads = 14

Total number of legs = 40

Find:

Number of birds

Number of mice

Computation:

Assume,

Number of birds = x

Number of mice = y

So,

x + y = 14

x = 14 - y.............Eq1

We know that mice have 4 legs and birds have 2

So,

2x + 4y = 40

x + 2y = 20............Eq2

From  Eq1 and Eq2

14 - y + 2y = 20

y = 6

Number of mice = 6

x = 14 - y

x = 8

Number of birds = 8


Related Questions

Question 24 on this pictured math sheet please. Have a great day!

Answers

Answer:

[tex]y=-6[/tex].

Step-by-step explanation:

If a horizontal line passing through a point (a,b), then the equation of horizontal line is [tex]y=b[/tex] .

In the given question, it is clear that the horizontal line passing through the point (4,-6).

Here, [tex]a = 4[/tex] and [tex]b = -6[/tex].

Since, the equation of horizontal line is [tex]y=b[/tex] , therefore the required equation is

[tex]y=-6[/tex]

Hence, the equation of horizontal line is [tex]y=-6[/tex].

Use the equation tool to complete the table.
y = 120 + 18(x)
Enter the correct answer.
Tara has made 120 cookies for the sale
and has one more day to bake. Tara's pan
allows her to bake 18 cookies per batch.
Tara can use the equation of the function to predict the total number of cookies: y=120+18(x). However, she prefers to use a table. (image)

Answers

Answer: ? = 264

Step-by-step explanation:

Hi, to answer this question we simply have to substitute x= 8 (number of batches) in the equation given:

y = 120 + 18(x)

Replacing and solving for y (number of cookies)

y = 120 + 18(8)

y = 120+144 = 264  cookies

The missing value in the table is⇒ ? = 264

Feel free to ask for more if needed or if you did not understand something.

Answer:

answer is 264

Step-by-step explanation:

Complete the following item. Consult the table above to find the cosine number. Find A to the nearest degree. A ≈ a0degrees.

Answers

Answer: Angle A to the nearest degree = 50°

Step-by-step explanation:

Given the triangle ABC:

Since triangle ABC is a right angle triangle, Pythagoras rule can be used to obtain the value of it's angles.

cosine of A

Using Pythagoras rule :

Cos A = Adjacent / Hypotenuse

Cos A = 267 / 391

Cos A = 0.6828644

Taking the cos inverse of angle A

A = Cos^-1 (0.6828644)

A = 46.932111°

A = 50°

Answer:

47°

Step-by-step explanation:

[tex]\red{plz \: \: \: help} \\ \green{will \: \: give \: \: the \: \: brainliest} \\\blue{ need \: \: \: explanation}[/tex]

Answers

Since [tex] \frac{dy}{dx}=-3-4x[/tex], putting $x=0$ gives us the gradient of the tangent at the point where the curve cuts the Y axis.

Thus $\frac{dy}{dx}=-3$

Answer:

Since , putting $x=0$ gives us the gradient of the tangent at the point where the curve cuts the Y axis.

Thus $\frac{dy}{dx}=-3$

Step-by-step explanation:

Type the expression that results from the following series of steps: Start with z , subtract 5, then times by 3.

Answers

Answer:

(z - 5)3

Step-by-step explanation:

Since we are following the directions strictly, we must subtract 5 from z first.

z - 5

Then we multiply the ENTIRE thing by 3

3(z - 5)

Answer:

(z-5)3 or (z-5)*3

Step-by-step explanation:

Use Pedmas. I am sorry I am not good a explaining but that is the answer.

The length of a square is 10 cm. Calculate the perimeter of the square A. 40cm² B. 400cm² C. 4ocm D. 414cm² I will mark you as brainliest

Answers

It’s “A” because you need to add the four sides together which gets you the 40 cm sorry if it is wrong but I think it is that

Answer:

40cm^2

Step-by-step explanation:

becuase since all the sides of the square is equal, when you add it up, you will get 40 as your answer

Help me ASAP for this question

Answers

Answer:

18 : 3

Step-by-step explanation:

Basic proportionality question. All we need to here is to expression the given fractions ( [tex]11 \frac{2}{3}[/tex], and [tex]1 \frac{17}{18}[/tex] ) as a fraction itself, and hence expressing the ratio we need to get, in fraction form.

[tex]11 \frac{2}{3} / 1 \frac{17}{18}\\\\[/tex] - So, we have expressed this in a fraction, which we want to reduce

[tex]= \frac{35}{3} / \frac{35}{18}[/tex] - The fractions have been taken as improper fractions

[tex]\\\\= \frac{35}{3}( \frac{18}{35} )\\ \\[/tex] - Now we took the inverse fraction, through multiplication

[tex]= 18 / 3[/tex] - 35 and 35 cancel out, leaving us with the simplified fraction 18 / 3

_____

So now we have 18 / 3, the ratio in fraction form. The scale is thus 18 to 3, or in other words 18 : 3.

Hope that helps!

The cost of a car is supposed to be no more than 80% of the value for the next year's
model. If a car costs $14,000, what is the cost of the next year's model?

Answers

Answer:

x ≥ $17, 500

Step-by-step explanation:

To find the cost of the next year model, we will follow the steps below;

Let x be the value of next year's model

$14000 ≤ 80% of  x

80% of  x ≥  $14000

80% × x ≥$14000

80x/100    ≥  $14000

multiply both-side of the equation by 100

80x ≥  $1400000

Divide both-side of the inequality by 80

80x /80 ≥ $1400000 / 80

x ≥ $17, 500

Therefore the cost of next year's model is

x≥$17, 500

Determine whether the function is linear or quadratic. Identify the quadratic, linear, and constant terms.

Answers

Answer:

B

Step-by-step explanation:

Use FOIL method

3x(5x) + 3x(- 2) + 3(5x) + 3(- 2)

Simplify to get 15 x^{2} -6x+15x-6  

Combine like terms to get 15x^2+9x-6

quadratic funcntion

quadratic term: 15x^2  

linear term: 9x

constant: -6

(sorry this was late I had other work and I didn't see this until now)

please mark me brainliest!

Use the matrix tool to solve the system of equations. Choose the correct ordered pair. 4x-7y=-12 and -2+6y=11 plz help!!​

Answers

Answer:

Option C.

Step-by-step explanation:

Note: x is missing in the second equation.

The given equations are

[tex]4x-7y=-12[/tex]

[tex]-2x+6y=11[/tex]

It can we written as

[tex]\left[\left.\begin{matrix}4 & -7\\ -2 & 6\end{matrix}\right|\begin{matrix}-12\\ 11\end{matrix}\right][/tex]

Divide row 1 be 4.

[tex]\left[\left.\begin{matrix}1 & -\dfrac{7}{4}\\ -2 & 6\end{matrix}\right|\begin{matrix}-3\\ 11\end{matrix}\right][/tex]

Applying [tex]R_2\to R_2+2R_1[/tex], we get

[tex]\left[\left.\begin{matrix}1 & -\dfrac{7}{4}\\ 0 & \dfrac{5}{2}\end{matrix}\right|\begin{matrix}-3\\ 5\end{matrix}\right][/tex]

Applying [tex]R_2\to \dfrac{2}{5}R_2[/tex], we get

[tex]\left[\left.\begin{matrix}1 & -\dfrac{7}{4}\\ 0 & 1\end{matrix}\right|\begin{matrix}-3\\ 2\end{matrix}\right][/tex]

Applying [tex]R_1\to R_1+\dfrac{7}{4}R_2[/tex], we get

[tex]\left[\left.\begin{matrix}1 & 0\\ 0 & 1\end{matrix}\right|\begin{matrix}\dfrac{1}{2}\\ 2\end{matrix}\right][/tex]

Since [tex]x=\dfrac{1}{2}\text{ and }y=2[/tex], therefore required ordered pair is [tex](\dfrac{1}{2},2)[/tex].

Hence, option C is correct.

If f(x) = 6x
6x – 9 and g(x) = (x + 6,
which statement is true?

Answers

Answer: The second option is correct, 6 is in the domain of f composition g.

I thought of a number, divided it by 11 and added seven. I got 19. What was my number?

Answers

The answer is 209

Start at 19 and times 11 to 19. You need to do the opposite. If there were more numbers in the equation then you would do the same; work your way up and do the opposite of what it says

Answer: 132

Step-by-step explanation:

First, you write your equation. Let your number be X.

Here is your equation.

(x ÷ 11) + 7 =19

Now, you do the opposite. What is the opposite of addition? Subtraction. So, you do 19 - 7=12

But we still have x ÷ 11 and now we would do 12 x 11, which is 132 and that should be the answer. Hope this helps!

Evaluate -(3^-5)(3^3)
O A. -9
O B. - 1/2
O C. 9
D. 1

Answers

Answer:

-1/9

Step-by-step explanation:

- (3^-5) (3^3)

Apply the law of exponents.

- 3^(-5 + 3)

Add the exponents.

- 3^(-2)

Evaluate.

= - 1/9

Answer:

A

Step-by-step explanation:

(3^-5)(3^3)

=3^-5+3

=3^-2

=1/3^2

=1/3×3

=1/9

=-9

Which best summarizes the Pythagorean Theorem?

A- The sum of the squares of the lengths of the legs of a right triangle equals the square of the length of the hypotenuse.

B- The length of the hypotenuse of a right triangle is greater than the sum of the lengths of the legs.

C- The sum of the lengths of the legs of a right triangle equals the length of the hypotenuse.

D- For any triangle, the sum of the squares of any two side
lengths is equal to the square
of the third side length.

Answers

Answer: A

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2}[/tex]

A and B are the legs of the triangle, and c is the hypotenuse. A would make the most sense.

The sum of the squares of the lengths of the legs of a right triangle equals the square of the length of the hypotenuse.

What is Pythagoras theorem?

" In a right angled triangle the square of the hypotenuse is equals to the sum of the square of the other two sides of the right angled triangle."

According to the question,

As per the Pythagoras theorem ,

(Hypotenuse)² = (Adjacent side)² + ( opposite side)²

Hence, we conclude that Option A is correct.

Learn more about Pythagoras theorem here

https://brainly.com/question/23936129

#SPJ2


If f(x) = 3x and g(x)=1/x
what is the domain of (gºf)(x)?
O x>0
O all real numbers except x=
= 0
X<0
all real numbers

Answers

Answer:

Here it is given that f(x)=3x and g(x)=1/x

We have to find the domain of (g o f)(x)

Now it is given that f(x) = 3x

and it is also given that g(x) = 1/x

so (g o f)(x) = g( f(x) ) = g( 3x )

which comes out to be 1 / 3x

The domain of the expression is all the real numbers except where the expression is undefined so the domain of the given expression is all real numbers except 0.

The domain of a function is the set of input values the function can take.

The domain of the function is (b).all real numbers except x = 0

The functions are given as:

[tex]\mathbf{f(x) = 3x}[/tex]

[tex]\mathbf{g(x) = \frac 1x}[/tex]

Calculate (gºf)(x) as follows:

[tex]\mathbf{(g\ o\ f)(x) = g(f(x))}[/tex]

So, we have:

[tex]\mathbf{(g\ o\ f)(x) = \frac{1}{f(x)}}[/tex]

Substitute 3x for f(x)

[tex]\mathbf{(g\ o\ f)(x) = \frac{1}{3x}}[/tex]

For the above function to have a real value, the value of  x must not be 0.

Hence, the domain of the function is (b).

Read more about domains at:

https://brainly.com/question/14494061

Ahmed is working at a burger joint. His boss pays him $6.50 per hour and promises a raise of $0.25 per hour every 6 months. Which sequence describes Ahmed's expected hourly wages, in dollars, starting with his current wage?

Answers

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Question 6 (5 points)
Solve for the variable x in the equation x + 15 = 62.

Answers

Just do 62-15 which is 47 and divide by x which is one so the answer is 47

Answer: x = 47

Step-by-step explanation: When you're asked to solve for x in an equation, what you're really being asked to do is get x by itself on one side of the equation.

In this problem since 15 is being added to x, in order to get x by itself,

we must subtract 15 from the left side of the equation.

If we subtract 15 from the left side, we must also subtract 15 from

the right side of the equation to keep the equation balanced.

So we have x = 47.

1000 ml solution of acetic acid contains 21 mL of pure acetic acid find the percent concentration of the solution simplify your answer completely​

Answers

Answer:

Step-by-step explanation:

download math photo it will give you free answers

Find the equation of the exponential function represented by the table above​

Answers

Answer: Y = 3 × 2^x

Step-by-step explanation:

Let assume that the equation of the exponential function represented by the table is

Y = 3(2)^x

When x = 0

Substitute x for 0. Then,

Y = 3 × 2^0

Anything raised to power of zero is equal to one.

Y = 3 × 1 = 3

When x = 1

Repeat the process

Y = 3(2)^1

Y = 3 × 2 = 6

When x = 2

Y = 3(2)^2

Y = 3 × 4 = 12

And finally, when x = 3

Y = 3(2)^x

Substitute x for 3

Y = 3 × 2^3

Y = 3 × 8

Y = 24.

We can therefore conclude that the equation of the exponential function represented by the table above is

Y = 3 × 2^x

which is a quadratic function
f(x)=2x+x+3
f(x)=0x2-4x+7
f(x)=5x2-4x+5
f(x)3x3+2x+2

Answers

Answer:

f(x)=5x^2-4x+5

Step-by-step explanation:

A quadratic function always has a squared symbol (represented by ^2). The first answer is a linear function, the second answer is a linear function (squaring 0 results in 0, therefore it is canceled out), the third answer has ^2 (this is correct), and the fourth answer has a ^3 (this is a cube function; not quadratic)

Answer:

It is indeed C. f(x) = 5x2 – 4x + 5

Step-by-step explanation:

If this Question is on Edg, then it is C!

f (x) = (x - 6)^2(x + 2)^2

Determine the total number of roots of each polynomial function using the factored form

Answers

Answer:

x = 6 or x = -2

Step-by-step explanation:

Solve for x:

(x - 6)^2 (x + 2)^2 = 0

Split into two equations:

(x - 6)^2 = 0 or (x + 2)^2 = 0

Take the square root of both sides:

x - 6 = 0 or (x + 2)^2 = 0

Add 6 to both sides:

x = 6 or (x + 2)^2 = 0

Take the square root of both sides:

x = 6 or x + 2 = 0

Subtract 2 from both sides:

Answer: x = 6 or x = -2

Answer:

It is 4 on Edgenuity

Step-by-step explanation:

I took the test

Jada sells her artwork at a trade show. She made $40 on the first day by selling one photograph, one painting, and one necklace. She made $110 on the second day by selling two photographs, three paintings, and three necklaces. She made $50 on the last day by selling one photograph, one painting, and two necklaces. Which system of equations matches Jada's sales at the trade show?

Answers

Answer:

x + y + z = 40

2x + 3y + 3z = 110

x + y + 2z = 50

Step-by-step explanation:

let

x = photograph

y = painting

z = neckless

the first part reads that jada sells 1 photograph, 1 painting, and 1 neckless. this written in a mathematical formula will be x + y + z = 40

the second part reads that jada sold 2 photographs, 3 paintings, 3 necklaces. This written as a mathematical formula will be 2x + 3y + 3z = 110

the third part reads that jada sold 1 photograph, 1 painting, and 2 necklaces. this written in a mathematical formulawill be x + y + 2z = 50

There are 12 students who have finished their assignments early. The
teacher will choose 3 students to assist her. What is the probability
that Elliot, Nevaeh, and Taylor are chosen?

Answers

I think that It’s 25%

Answer:

3/12=1/4

Step-by-step explanation:

elliot,nevaeh and taylor are 3 boys from the 12 boys

so the probability is 3/12

we should always write in simple form so 1/4

that's  25%

hope it helps<3<3

plz rate

Please i need help with this ASAP....many thanks

Answers

Answer:

Yes, he has enough money.

Step-by-step explanation:

I found the heaviest healthy weight for the man which is at 84kg. This means he has to lose 14 kg to be healthy.

Take 14kg divided by 0.75 kg/week to find how many weeks of the diet he needs.

13/0.75 = 18.67 = 18 weeks

Take the number of weeks times the number of calories per week

18 x 600 = 10800

Take this number divided by 200 calories per hour to find the total number of hours.

10800/200 = 54 hours

Take this number times the amount of money per hour.

54 x 6 = 324     This number is less than 360

KELLY Connect
Deidra Roberts
CONTACT CENTER OUTSOURCING
Supervisor: "You are currently scheduled to work Monday through Friday of next
week. I need you to try to assist 9 more customers per day to hit your goal for the
week."
Employee: "That seems very realistic. I currently assist an average of 52 customers
per day, so the total number of customers l assist per week would be
295
300
304
305

Answers

Answer:

305

Step-by-step explanation:

52 customers per day * 5 days per week

260 currently

Now add the 9 per day to find you new goal

52+9 = 61 per day

61 *5 = 30

305 per week is your goal

Simplify.
3sqrt -64m^15n^3

-8m^5
-8m^5n
-4m^5n
-4m^5

Answers

Answer:

[tex]-4m^5n[/tex]

Step-by-step explanation:

∛-64 = -4

[tex]\sqrt[3]{m^{15}} =m^5[/tex]

∛n³ = n

Answer:

-4m⁵n

Step-by-step explanation:

(see attached)

Which of the following lines has a negative slope?

Answers

Answer: 3rd graph

Explanation: In order to determine which graph shows a downward or negative slope, we need to be able to look at each of the graphs and determine which line is decreasing when going from left to right.

Notice that the 3rd graph is the only graph with a downward

or negative slope which means that this is our answer.

Answer: mark the guy above as brainiest he deserves it.

Step-by-step explanation:

what is y=-1/4x+4 written in standard form? plsss help!

Answers

Answer:

The standard form of this slope-intercept form is x + 4y = 16.

Answer:

x + 4y =16

Step-by-step explanation:

[tex]y= \frac{-1}{4}x+4[/tex]

Multiply by 4

[tex]4y=4*\frac{-1}{4}x+4*4\\\\[/tex]

4y = -x + 16

x + 4y =16

The owner of a produce stand is selling baskets of peaches, priced by the kilogram. She rounded each measurements to the nearest 1/2 of a kilogram

Answers

Answer: 1 1/2

Step-by-step explanation:

6 1/2 - 5 = 1 1/2

Find the area of the triangle. Choices- Question 8 options: a) 70 units2 b) 35 units2 c) 28 units2 d) 14 units2

Answers

Answer:

35 (b)

Step-by-step explanation:

Area of a triangle = (height times base)/2

Height = 5

Base = 14

14 times 5 = 70

70/2 = 35

Answer:

it was b ) 35 units

Step-by-step explanation:

cuz 5*14 you got 70

then when is a triangle you have to do 70 divide by half

so you will got you answer which is b)35 units

hope it helps

Other Questions
list five roles that the creative arts play in traditional festival In a certain city, the monthly cost of residential electric service is given by the function C = 0.08n = 14, where n is the number of kilowatt hours (kWh) used 8 cents is the cost per kWh, and 14 is a fixed charge. Find the monthly bill if 600 kWh were used. $ A process capability index of 2 means that the upper and lower specification limits of the process are six standard deviations above and below the mean respectively. True or False? Eliminating variations is always possible. True or False? help me please!!!!!!!!!!!! 4A fisherman notices that wavecrests pass the front of his boatevery 6.00 s. He measures thedistance between two crests to be15.0 m. How fast are the wavestravelling?(Unit = m/s) Every weekday, Mr. Jones bikes from his home to his job. Sometimes he rides along two roads, the long route that is shown by the solid lines. Other times, he takes the shortcut shown by the dashed line.A right triangle. The distance from the angle with measure 90 degrees to Job is 15 kilometers. From the angle to Home is a. They hypotenuse is 17 kilometers.How many fewer kilometers does Mr. Jones bike when he takes the shortcut instead of the long route?6 kilometers8 kilometers23 kilometers32 kilometersMark this and return A solution...A. is a single-phase homogeneous mixture.B. can contain more than two phases.C. must contain water.D. is always a liquid. 10) Una agencia de comercializacion de celulares haceun pedido de 65 equipos, de los cuales 26 sonmodelo Alfa y cuestan / 600 cada uno; el restoson modelo Beta y cuestan la mitad del primeroCuanto debe pagar la agencia por el pedido?a. RespondeCuntos celulares Alfa compraron ya que precio? 65, algo 6oy Bills 300 Cunto cuesta cada equipo Beta? 300Escribe la operacin que permite calcularlo que se paga por los equipos Alfa) x 300 Completa la operacin que permite calcularlo que se paga por los equipos Beta.b. Plantea y escribe la operacin combinada que resuelve el problema.c. Resuelve la operacin usando la propiedad distributiva y toma en cuenta elun sinue Paro para resolver operaciones combinadas.Cunto debe pagar la agencia por el pedido which are the eight part of Ashtang of Pitanjal rishi ? write briefy about them? What "snag" occurred in the Election of 1800?A Both candidates decided to withdraw from the election.B In the Electoral College the two candidates tied.C Neither candidate had the qualifications to be President.D There was no procedure for an election that ended in a tie. A 75 lb (34 kg) boy falls out of a tree from a height of 10 ft (3 m). i. What is the kinetic energy of the boy when he hits the ground? Round your answer to the nearest joule. ii. What is the speed of the boy when he hits the ground? Round your answer to two significant figures. iii. Using the conversion factors of 1 m = 1.094 yd and 1 mi = 1760 yd, calculate the speed of the boy in miles per hour when he hits the ground. Most of the precipitation that falls onto Earth's surface ________. Group of answer choices falls in the form of ice or snow is already unusable because of acid rain evaporates back into the atmosphere is taken up by plants or other organisms either runs off to form rivers or filters down into underground aquifers What were the effects of the Ming and Qing Dynasties centralized system of government and traditional rule on Chinese society? Four-digit numerical codes are issued for an ATM. If no integer can be repeated in a code, how many different codes can be formed using only odd integers? A parallel-plate capacitor is charged by connecting it to a battery. If the battery is disconnected and then the separation between the plates is increased, what will happen to the charge on the capacitor and the electric potential across it When government policies are enacted, a. equality can usually be enhanced without an efficiency loss, but efficiency can never be enhanced without a reduction in equality. b. efficiency can usually be enhanced without a reduction in equality, but equality can never be enhanced without an efficiency loss. c. it is always the case that either efficiency and equality are both enhanced, or efficiency and equality are both diminished. d. None of the above are correct. LC)How does breathing change during exercise?Rate and depth decreaseRate and depth increaseRate increases and depth decreasesRate decreases and depth increases please help ASAP Which two statements describe organisms found in the kingdom Plantae?O A. Their cells lack cell walls.O B. They have prokaryotic cells.O C. They are mostly autotrophic.O D. They are multicellular.SUBMIT A small community organization consists of 20 families, of which 4 have one child,8 have two children, 5 have three children, 2 have four children, and 1 has fivechildren. If one of these families is chosen at random, what is the probability it has`children,`= 1,2,3,4,5? HELP!!!!!!!!! I WILL MARK YOU BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!! How many miles would you have to drive your car to produce the same amount of carbon emissions of a steak? A 10 miles B 30 miles C 3 miles D 0.5 miles