There are 7 animals a farmer's field.

​Some are cows and some are chickens.
​The farmer counts 18 legs in all.

Answers

Answer 1

Answer:

2 cows and 5 chickens.

Step-by-step explanation:

NOTE: This will be solved using simultaneous equations.

Let x = cows and y = chickens

1. form two equations

4x + 2y = 18 ... (1)

x + y = 7 .... (2)

2. make y (or x) the subject of one equation

x + y = 7

y = 7 - x ... (3)

3. Substitute (3) into (1)

4x + 2( 7 - x) = 18

4. solve for x

4x + 14 - 2x = 18

2x = 4

x = 2

5. Now substitute x value into equation (2)

x + y = 7

2 + y = 7

y = 5

∴ cows (x) = 2

chickens (y) = 5

Answer 2

The number of cows is 2 and that of chickens are 5

What is a system of equations?

A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

Given that, There are 7 animals in a farmer's field. ​Some are cows and some are chickens. ​The farmer counts 18 legs in all.

This will be solved using system of equations.

Let x = cows and y = chickens

4x + 2y = 18 ... (1)

x + y = 7 .... (2)

x + y = 7

y = 7 - x ... (3)

4x + 2(7 - x) = 18

4x + 14 - 2x = 18

2x = 4

x = 2

2 + y = 7

y = 5

Hence, the number of cows are 2 and that of chickens are 5

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Related Questions

greast common factor of 52 and 12​

Answers

Answer:

4 = GCF

Step-by-step explanation:

52/12 = 4.333

52/11 = 4.7272727

52/10 = 5.2

52/9 = 5.77777778

52/8 = 6.5

52/7 = 7.42

52/6 = 8.6666667

52/5 = 10.4

52/4 = 13 --> 4 works but does it work with 12

**check it.

12/4 = 3

**YES** So 4 is the GCF

Hello There!

The Greatest Common Factor Between "12" And "52" Is 4

Evaluate 5x + (-2x) for x= 3.
0 21
0
-3

Answers

Answer:

9

Step-by-step explanation:

5x + (-2x)

Combine like terms

5x -2x

3x

Let x =3

3(3)

9

Help me find Train A's speed speed in miles per hour pleaseeeee​

Answers

Answer: it should be 25.

Step-by-step explanation: this is because the slope of the line is 25. you can see that because, when finding the slope, you see that it goes up 50 and over 2. 50/2 (rise/run) is 25.

Answer:

25

Step-by-step explanation:

On the graph, you can see the train has traveled from 0 to 150 miles (the Y-axis), and it did that in 6 hours (X-axis).

That means that it traveled 150 miles in 6 hours.

A speed is a distance divided by a time (like miles/hour). So, to get the speed, we need to divide the distance traveled by the time it took to do it:

S = 150 miles / 6 hours = 25 miles per hour

wll what is the value of y
(105)
A 58
B 122
C
D
142
155​

Answers

Answer:

D

Step-by-step explanation:

10x - 5 and 7x + 4 are vertical angles and congruent, hence

10x - 5 = 7x + 4 ( subtract 7x from both sides )

3x - 5 = 4 ( add 5 to both sides )

3x = 9 ( divide both sides by 3 )

x = 3

7x + 4 and y are same side interior angles and are supplementary, thus

y + 7x + 4 = 180 ← substitute x = 3

y + 21 + 4 = 180

y + 25 = 180 ( subtract 25 from both sides )

y = 155 → D

There are 36 pencils in 6 packs. Igor wants to know how many pencils are in 1 pack. Elsa wants to know how many pencils are in 3 packs l.

Answers

In 1 pack there is 6 pencils cause you need to divide 36 by 6. In 3 packs there are 18 pencils because 6 pencils times 3 packs is 18 pencils!

Hope this helped!

Answer with step-by-step explanation:

We are given that there are 36 pencils in 6 packs and we are to find out how many pencils are there in one pack and three packs.

To find the number of pencils in one pack, we need to divide the number of pencils by the number of packs.

Number of pencils on 1 pack = 36/6 = 6 pencils

To find the number of pencils in 3 packs, we will multiply the number of pencils in one pack by 3.

Number of pencils in 3 packs = 6 * 3 = 18 pencils

if the ratio of the length of a rectangle to its width is 3 to 2 . what length of a rectangle whose width is 4 inches?

Answers

Answer:

6 in.

Step-by-step explanation:

So first you do 4 divided by 2 to find how much is 1 in the ratio.

4/2 = 2

Then you times 3 by 2

3 x 2 = 6 in.

Answer:

6

Step-by-step explanation:

I did it on plato :))

Complete the equation of a line through (-3,3) with a slope of 1/3
y=1/3x+

Answers

[tex]\bf (\stackrel{x_1}{-3}~,~\stackrel{y_1}{3})~\hspace{10em} slope = m\implies \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-3=\cfrac{1}{3}[x-(-3)] \implies y-3=\cfrac{1}{3}(x+3) \\\\\\ y-3=\cfrac{1}{3}x+1\implies y=\cfrac{1}{3}x+4[/tex]

Jay rides his bike 6 3/4 miles in 1/3 hour. What is his average speed?

Answers

There are three 1/3's in 1 hour: 1/3 +1/3 +1/3 = 3/3 = 1

Multiple the distance he rode by 3:

His speed is: 6 3/4 x 3 = 20 1/4 miles per hour

What is the solution to the equation below?

x/4=x+1/3

A) x=-4
B) x=-1
C) 1/7
D) 4/7

Answers

Answer:

[tex]\large\boxed{A)\ x=-4}[/tex]

Step-by-step explanation:

[tex]\dfrac{x}{4}=\dfrac{x+1}{3}\qquad\text{cross multiply}\\\\3x=4(x+1)\qquad\text{use the distributive property}\\\\3x=4x+4\qquad\text{subtract}\ 4x\ \text{from both sides}\\\\-x=4\qquad\text{change the signs}\\\\x=-4[/tex]

HELP ASAP MARKING BRAINLEST

what is the radius of the circle with the following equation?

x^2 + (y-3)^2=121

Answers

Answer:

The circle's center points are (0,3) and the radius is 11

Step-by-step explanation:

Sara had 207 dollars to spend on 9 books. After buying them she had 18 dollars. How much did each book cost

Answers

Answer:

21

Step-by-step explanation:

207-18=189..then divide by 9

Final answer:

The problem involves subtracting Sara's remaining money from her initial amount to find the total spent on books, then dividing by the number of books, giving us that each book cost 21 dollars.

Explanation:

This is a basic algebra problem where we need to find the cost of each book. Sara initially has 207 dollars and after buying 9 books, she has 18 dollars left. Therefore, we can calculate the total spent on books by subtracting the final amount from the initial.

The calculation is: 207 dollars - 18 dollars = 189 dollars.

Now, to find the cost of each book, divide the total spent by the number of books. So, 189 dollars divided by 9 books results in 21 dollars per book.

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35.
Elfa Beta
Alfa Beta's Objective Book
Any four vertices of a regular pentagon line on a
c) parallelogram d) None
a) circle b) square
36. If two circles touch, the point of contact line on a:
b) quadrilateral c) square .
a) St. line
d) None
37. The domain of the Relation R where R = {(x,y): y = x + x ; x,
and x < 9} will be
a) {x, 2, 3} b) {1, 2, 4, 8; c) {1, 0, 4, 8; d) None
38. A sum of money is divided between Mary and David in the rat
If Mary's Share is Rs. 225, then the total amount of money wil
a) 300 b) 400
c) 585
d) None
39. The angle between the vectors 2î + 39 + k and 29 - 39 - k is
a) "1a 6)" 13
d) None
160-11.27
c)"12​

39 ko question solve gara

Answers

question no 39 isnot correct. they should be in i j k form

35. c)parallelogram, 36.a) straight line, 37.d) none, 38.d) None, 39.d)None

Question 35

Any four vertices of a regular pentagon will form a parallelogram. This is because the internal angles and lengths are such that selecting any four vertices will always result in the formation of a closed, opposite sides being equal, and opposite angles being equal shape, which is a parallelogram.

Question 36

If two circles touch, the point of contact lies on a straight line. Hence, the correct answer is a straight line.

Question 37

The domain of the relation R where R = {(x,y): y = x + x ; x ≥ 0 and x < 9} will be as follows: we are given that y = x + x^2 and x ranges from 0 (inclusive) to 9 (exclusive). Thus, the possible values for x within these constraints are all integers from 0 to 8. Therefore, the correct domain is

{0, 1, 2, 3, 4, 5, 6, 7, 8} and correct option is d. None

Question 38

If Mary's share is Rs. 225 and it is divided between Mary and David in the ratio 3:2, we first find the portion that represents Mary’s share. Here, Mary’s share is 3 parts and David’s is 2 parts. Together, their shares add up to 5 parts. If 3 parts equate to Rs. 225, then 1 part is Rs. 75. The total amount of money, which is 5 parts, will be 5 * 75 = Rs. 375. Hence, the correct total is Rs. 375.

Question 39

The angle between the vectors 2î + 3ĵ + k and 2î - 3ĵ - k can be found using the dot product formula.

The dot product of A and B, A.B = |A| |B| cos θ. First, compute A.B:

A = 2î + 3ĵ + kB = 2î - 3ĵ - kA.B = (2)(2) + (3)(-3) + (1)(-1) = 4 - 9 - 1 = -6

Next, find |A| and |B|:

|A| = √(([tex]2^2) + (3^2) + (1^2)[/tex]) = √(4 + 9 + 1) = √(14)|B| = √(([tex]2^2) + (-3^2) + (-1^2[/tex])) = √(4 + 9 + 1) = √(14)

Therefore,

cos θ = A.B / (|A| |B|) = -6 / (√(14) × √(14)) = -6 / 14 = -3 / 7

Taking the inverse cosine:

θ = [tex]cos^(-1) (-3 / 7)[/tex]

The approximate answer to the angle is around 116 degrees. However, because most multiple-choice sets would give their answers in radians, you would need to adjust accordingly. None of the provided answers exactly match this calculated result, therefore correct option is d. None

5) radius = 2.6 in
How do I find the circumference?

Answers

Answer:

[tex]\large\boxed{C=5.2\pi\ in\approx16.328\ in}[/tex]

Step-by-step explanation:

The formula of a circumference of a circle:

[tex]C=2\pi r[/tex]

r - radius

We have r = 2.6 in. Substitute:

[tex]C=2\pi(2.6)=5.2\pi\ in[/tex]

[tex]\pi\approx3.14\to C\approx(5.2)(3.14)=16.328\ in[/tex]

HELP PLEASE!!!!!???!!!!

Answers

-Hello There-

B Correct

The area of the original shape will be

multiplied by 9 to get the area of the

image under a dilation with scale

factor 3.

15 × 9 = 135 cm2

The perimeter of the original shape

will be multiplied by 3 to get the

perimeter of the image.

20 × 3 = 60 cm

10 POINTS AND BRAINLIEST! I NEED HELP ASAP!

Complete the function table, then write a rule for the function.

Answers

Answer:

[tex] - 3 | - 9 \\ - 2 | - 4 \\ - 1 | - 1 \\ \: \: 0 \: | \: 0 \\ \: \: \: 1 | - 1[/tex]

Step-by-step explanation:

[tex] - ( - 3) ^{2} = - 9 \\ - ( - 2) {}^{2} = - 4 \\ - ( - 1) {}^{2} = 1 \\ - (0) {}^{2} = 0 \\ - (1) {}^{2} = - 1[/tex]

then our rule is

[tex]f(x) = - (x) ^{2} [/tex]

[tex]where \: x \: is \: the \: input \: \\ and \: f(x) \: is \: the \: output .[/tex]

This is my idea. I hope it can help you.

c= [12 0 3/2 1 -6 7 ] What is 4C? its a 2x3 matrix so 12 0 3/2 on top and 1 -6 7 on bottom. The answer is also supposed to be a matrix.

Answers

Answer:

[tex]\left[\begin{array}{ccc}48&0&6\\4&-24&28\end{array}\right][/tex]

Step-by-step explanation:

4C implies that we multiply each element in C by the constant 4.

12*4 = 48

0*4 = 0

(3/2)*4 = 6

This will be the new elements on top

1*4 = 4

-6 * 4 = -24

7 * 4 = 28

This will be the new elements at the bottom. The required matrix 4C is thus;

[tex]\left[\begin{array}{ccc}48&0&6\\4&-24&28\end{array}\right][/tex]

Answer:

The required matrix is:

[tex]4C=\left[\begin{array}{ccc}48&0&6\\4&-24&28\end{array}\right][/tex]

Step-by-step explanation:

The matrix given is:

[tex]C=\left[\begin{array}{ccc}12&0&3/2\\1&-6&7\end{array}\right][/tex]

We need to find 4C which means we need to multiply the matrix C with 4. Every entry of matrix will be multiplied by 4.

[tex]4C=\left[\begin{array}{ccc}4*12&4*0&4*3/2\\4*1&4*-6&4*7\end{array}\right][/tex]

Solving:

[tex]4C=\left[\begin{array}{ccc}48&0&12/2\\4&-24&28\end{array}\right]\\4C=\left[\begin{array}{ccc}48&0&6\\4&-24&28\end{array}\right][/tex]

SO, the required matrix is:

[tex]4C=\left[\begin{array}{ccc}48&0&6\\4&-24&28\end{array}\right][/tex]

58:35
Compare the given dimensions of four triangles. Which triangle is possible to construct?
• side lengths of 5 ft, 12 ft, and 13 ft
O side lengths of 2 ft, 11 ft, and 15 ft
O side lengths of 3 ft, 7 ff. und 11 ft
O side lengths of 4 ft 8 ft, and 15 ft

Answers

Based on my calculations the answer is B

Answer:

D

Step-by-step explanation:

Mary is 21 years old. Her age is 9 years more than 3 times Henry’s age. Which equation can be used to determine x, Henry’s age in years?

Answers

Answer:4

Step-by-step explanation:

21=3x+9

12=3x

X=4

Final answer:

To find Henry's age, use the equation 21 = 3x + 9, where x represents Henry's age which is 4.

Explanation:

The question asks to find the equation to determine Henry's age. Given that Mary is 21 years old and her age is 9 years more than 3 times Henry's age, we set up the equation as follows: Let x represent Henry's age. The equation then becomes 21 = 3x + 9. This equation can be used to solve for x, Henry's age which is 12 = 3x; x = 4.

What is the value of x?

Enter your answer in the box.

x =

Answers

It’s 25 because (24x24)+(7x7) squared is 25

Pls help so confused

Answers

ANSWER

B.

[tex](f+g)(x) ={3}^{x} + 2x + 6[/tex]

EXPLANATION

The given functions are:

[tex]f(x) = {3}^{x} + 10[/tex]

and

[tex]g(x) = 2x - 4[/tex]

We want to find (f+g)(x).

[tex](f+g)(x) = f(x) + g(x)[/tex]

[tex](f+g)(x) ={3}^{x} + 10 + 2x - 4[/tex]

Combine similar terms,

[tex](f+g)(x) ={3}^{x} + 2x + 10- 4[/tex]

Simplify:

[tex](f+g)(x) ={3}^{x} + 2x + 6[/tex]

The correct answer is B

The answer is B. Hope this helped

are 2/8 and 3/4 equivalent

Answers

Step-by-step explanation:

They are not equivalent because :

2/8=1/4 decimal: 0.25

3/4 decimal:0.75

3/4 is greater than 2/8 when they are decimals.

Answer: They are not equivalent.

The other person spelled the word equivalent wrong.

Answer: THEY ARE NOT EQUIVILENT

2/8= .25

3/4=.75

.75≠.25

MAKE ME BRAINLIEST

WILL GIVE BRAINLIEST, 5/5 RATING, AND LIKE!!!!

There are 3000 people at a concert you survey a random sample of 200 people and find that for 35 of them this is their first concert they have ever attended estimate how many total people are attending their first concert that night

Answers

35 out of 200 = 35/200 = 0.175 = 17.5% of the people surveyed are attending their first concert.

Now multiply all the people at the concert by 17.5%

3000 x 0.175 = 525

There are about 525 people total attending their first concert.

Musiclover is right give it to them it’s 525

Let f(x) = -2x -2. The graph of g(x) = f(x) + k is shown below. Identify the value of k.

Answers

k should be 1, Check by calculating the x values for f(x) and confronting them with g(x)

The graph of g(x) is a vertical shift of the graph of f(x) by 1 unit up. Thus, the value of k is 1.

The graph of g(x) = f(x) + k is a vertical shift of the graph of f(x) by k units. We can see from the graph that the graph of g(x) is shifted up by 1 unit relative to the graph of f(x).

Therefore, the value of k is 1.

To confirm this, we can plug in a point on the graph of g(x) into the equation for g(x) and solve for k.

For example, we can see that the point (-1, 2) is on the graph of g(x). Plugging this point into the equation for g(x), we get:

2 = -2(-1) - 2 + k

2 = 0 - 2 + k

k = 2 + 2

k = 4

However, we know that this cannot be the correct answer, because the graph of g(x) is shifted up by 1 unit relative to the graph of f(x). Therefore, the only possible value of k is 1.

For similar question on vertical shift.

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F(x)=a^x,which of the following expressions is equal to [f(1)]^2

Answers

[tex]

f(x)=a^x \\

f(1)^2\Longrightarrow f(1)=(a^x)^2 \\

f(1)=\boxed{a^{2x}}

[/tex]

Please help will give brainliest

Answers

Answer:

[tex]b = 537[/tex]

Step-by-step explanation:

For this triangle we have to

[tex]a=640\\A=70\°\\B=52\°[/tex]

Now we use the sine theorem to find the length of b:

[tex]\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}[/tex]

Then:

[tex]\frac{sin(A)}{a}=\frac{sin(B)}{b}\\\\b=\frac{sin(B)}{\frac{sin(A)}{a}}\\\\b=a*\frac{sin(B)}{sin(A)}\\\\b=(640)\frac{sin(52)}{sin(70)}\\\\b=537[/tex]

Two angle are supplementary angle A has a measure of 3x+12 and angle B has a measure of 4x+28, what is the measure of each angle?

Answers

Answer:

A measures 72 and B measures 108

Step-by-step explanation:

If the angles are supplementary, that means that they add up to equal 180.  3x + 12 + 4x + 28 = 180.  Doing some algebra there gives you that 7x = 140 and x = 20.  Sub in 20 to angle A to get 3(20) + 12 = 72, and sub in 20 to angle B to get 4(20) + 28 = 108.  And of course, 108 + 72 = 180.

(80pts) The ratio of the number of A's in the class to B's in the class was 2:5. How many people got A's if there were 40 people who got B's?

Answers

Make a proportion using the ratio (A:B) given and number of As and Bs really gotten in the class ([tex]\frac{A's}{B's}[/tex])

[tex]\frac{2}{5} = \frac{A}{40}[/tex]

Cross multiply

2 * 40 = 5 * A

80 = 5A

Isolate A by dividing 5 to both sides

80/5 = 5A/5

16 = A

If 40 people in the class got B's then 16 people got A's

Hope this helped!

~Just a girl in love with Shawn Mendes

16 people got A's if there were 40 people who got B's

The ratio of the number of A's in the class to B's in the class is given as:

Ratio = 2 : 5

This can be rewritten as:

A :  B = 2 : 5

When there are 40 B's, we have:

A :  40 = 2 : 5

Multiply the second ratio by 8

A :  40 = 16 : 40

By comparison, we have:

A = 16

Hence, 16 people got A's if there were 40 people who got B's

Read more about ratios at:

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what is the area of this parallelogram

h=2in b=10in

Answers

Final answer:

The area of the parallelogram is calculated as the product of its base and height, resulting in 20 square inches.

Explanation:

The area of a parallelogram is calculated using the formula: Base x Height. In this case, the base (b) is 10 inches and the height (h) is 2 inches. Therefore, the area of the parallelogram can be found by multiplying the base by the height:

Area = Base x Height

Area = 10 in x 2 in

Area = 20 square inches

This calculation gives us the total area of the parallelogram in square inches.

The area of a parallelogram given its base and height dimensions as 10 in and 2 in is 20 square inches.

The area of a parallelogram can be calculated using the formula:

Area = Base x Height

Given that the base, b, is 10 inches and the height, h, is 2 inches, the area would be:

Area = 10 inches x 2 inches = 20 square inches

Given y = 4x + 3, what effect does changing the equation to y = 4x - 3 have on the y-intercept?

Answers

Answer:

The y-intercept changes from (0, 3) to (0, -3)

Step-by-step explanation:

The y-intercept refers to the point where the graph of a function crosses or intersects with the y-axis. At this point, the value of x is usually 0.

Substitute x = 0 in both equations to determine how the y-intercept changes;

The original equation is given as y = 4x + 3,

when x = 0; y = 4(0) + 3 = 3

The y-intercept is thus (0, 3)

The new equation is given as y = 4x - 3

when x = 0; y = 4(0) - 3 = -3

The y-intercept is thus (0, -3)

Therefore, the y-intercept changes from (0, 3) to (0, -3)

Help me answer this question please

Answers

Answer:

Step-by-step explanation:

√(x)

Shifted 3 units down:

√(x) - 3

Shifted 2 units to the right:

√(x-2) - 3

It's the last one.

ANSWER

[tex]y = \sqrt{x - 2} - 3[/tex]

EXPLANATION

The given equation is

[tex]y = \sqrt{x} [/tex]

This is the parent square root function.

If we apply the transformation;

[tex]y = \sqrt{x - k} - c[/tex]

Then the parent function will shift c units down and k units to the right.

When we the given function 3 units down and 2 units right the equation becomes:

[tex]y = \sqrt{x - 2} - 3[/tex]

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