There are 27 animals in the barn. Some are geese and some are horses. There are 90 legs in all. How many of each animal are there

Answers

Answer 1

Answer:

There are 9 geese and 18 horses.

Step-by-step explanation:

Step 1: Make equations.

g ... number of geese

h ... number of horses

First equation: There are 27 animals in the barn.

g + h = 27

Second equation: There are 90 legs in all.

We know geese have two legs and horses 4.

2g + 4h = 90

Step 2: Solve the system of equations.

g + h = 27 (first equation)

2g + 4h = 90 (second equation)

Let's express g in terms of h in first equation.

g + h = 27

g = 27 - h

Now let's substitute g in second equation with g in first equation.

2g + 4h = 90

2(27 - h) + 4h = 90

And solve for h.

54 - 2h + 4h = 90

54 + 2h = 90

2h = 90 - 54

2h = 36

h = 18

Let's substitute the value of h back to first equation to get g.

g = 27 - h

g = 27 - 18

g = 9


Related Questions

A segment with endpoints at the center and on the circle.

Answers

Answer:

The set of points equidistant from a given point (the center). Radius : A segment with endpoints at the center and on the circle.

Step-by-step explanation:

help me with this PLACE
Draw a quadrilateral that has two 60 degree angles and two 120 degree angles.

Answers

Answer:

Step-by-step explanation:

Draw a straight line.

Then draw 2 lines of equal length from the 2 ends of the line at angles of 120 degrees  going up and apart.

Then draw the fourth line joining the ends of these 2 lines.

The 2 angles formed will equal 60 degrees.

The quadrilateral formed is a trapezoid.

4w<32


Help about to fail my math class lol

Answers

Answer ~ What TESSA SAID ^^


Explanation~ IN TESSA WE TRUST

Consider the summary statistics from the previous question. The residents pay $0.015 per gallon of usage. What is the standard deviation of the amount paid for monthly water usage

Answers

The standard deviation of the amount paid for monthly water usage is $35.25

How to determine the standard deviation?

From the summary statistics, we have:

Standard deviation, σ = 2350

Rate = $0.015

The standard deviation of the amount is calculated using:

σ = Standard deviation * rate

This gives

σ = 2350 * $0.015

Evaluate

σ = $35.25

Hence, the standard deviation of the amount paid for monthly water usage is $35.25

Read more about standard deviation at:

https://brainly.com/question/13179318

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For function f(x), which pair of limits would verify the existence of a vertical asymptote at x = –1?

Answers

This shows that for the function f(x), the pair of limits that would verify the existence of a vertical asymptote at x = –1 is expressed as:

[tex]\lim_{x \to -1^+} a_n = \lim_{x \to -1^-} a_n =f(c)[/tex]

Limit of a function

For the limit of a function to be continuous at a point x = a, the left hand limit of the function must be equal to the right hand limit.

Mathematically, the expression below must be true

[tex]\lim_{x \to a^+} a_n = \lim_{x \to a^-} a_n =f(c)[/tex]

This shows that for the function f(x), the pair of limits that would verify the existence of a vertical asymptote at x = –1 is expressed as:

[tex]\lim_{x \to -1^+} a_n = \lim_{x \to -1^-} a_n =f(c)[/tex]

Learn more on continuous function here: https://brainly.com/question/22340323

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How many milligrams are equal to 63 grams? 63,000 milligrams 6,300 milligrams 630,000 milligrams 630 milligrams

Answers

Answer:

63,000 milligrams

Step-by-step explanation:

there are 1,000 milligrams in one gram. So, 63 x 1,000 = 63,000

One number is five more than another number. If the square of the smaller number is 3 more than 3 times the larger number, what are the numbers?

Answers

Answer:

6 and 11

Step-by-step explanation:

n1 = n + 5

ns^2 = 3 + 3nb

6^2 = 3 + 3(11)

36 = 3 + 33

11 = 6 + 5

> 4

Ansley ate 12 of a bag of popcorn. Erica
ate 12 of the same bag of popcorn. What
fraction of the bag of popcorn did Ansley
and Erica eat in all?

Answers

12+12 is 24. Therefore the total amount they are was 24/no. Of popcorn in the bag

You flip a coin and you roll a standard 6 sided number die. What is the probability that your flip heads and roll a number less than 3?

Answers

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

p(H and <3)= [tex]\frac{1}{2}[/tex]×[tex]\frac{2}{6}[/tex]

                   = [tex]\frac{1}{6}[/tex]

What is the distance between the two points?

Answers

Refer attachment.

The answer is 5 units

Complete the table for the equation below

Answers

Answer:

-1

2

4

Step-by-step explanation:

You have to replace x with each number that is given, follow the order of operations, and then you have the correct y value.

Which of the following inequalities matches the graph?

Answers

Answer:

y ≥ 1

Step-by-step explanation:

The graph of an inequality is illustrated, with a solid horizontal line passing through point (0, -1) and shading above the line.

It indicates that the line equation is:

For various x values, y=-1.

Also, because the darkened region is above the line, i.e. towards the origin, it must pass the 0-test.

As a result, the inequality is:

y≥-1

Answer:

[tex]y\geq -1[/tex]

Step-by-step explanation:

Hope this helps

Charlie raked 23 piles of leaves. jessie raked 14 piles of leaves.

how many more piles of leaves did charlie rake than jessie?

Answers

difference of leaves : 23-14=9

answer : 9

I will give 20 points and maybe brainiest, please help me

Answers

Answer:

The correct answer is dilate by a scale factor of 2 and reflect over the x-axis.

Step-by-step explanation:

We can clearly see that there was no rotation or translation between the 2 triangles so we can deduct the second and fourth answer. We can also see that the triangle reflects over the x-axis and not the y-axis so the second answer is incorrect. Leaving the first one, which is the correct answer.

Hope this helps:) Goodluck!

What is the average rate of change in f(x) over the interval [4,13]? on a coordinate plane, a function has four points that are connected by lines. the points are (0, 0), (4, 8), (10, 5), and (13, 12). one-third four-thirteenths eleven-thirteenths eleven-eighths

Answers

Using it's concept, it is found that the average rate of change of the function over the interval [4,13] is given by:

[tex]\frac{4}{9}[/tex]

What is the average rate of change of a function over an interval?

It is given by the change in the output divided by the change in input.

In this problem, we have points (4,8) and (13,12), hence the rate of change is given by:

r = (12 - 8)/(13 - 4) = 4/9.

More can be learned about the average rate of change of a function at https://brainly.com/question/24313700

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Answer:

B

Step-by-step explanation:

4/13

Tim is 5 feet tall and casts a shadow that is 2 feet long. He stands next to a tree that is 30 feet tall. How long is the shadow the tree casts?

Answers

Answer:

12 ft

Step-by-step explanation:

Tim Height: Tim Shadow
5ft              : 2ft

Tree Height: Tree Shadow
30ft              : ?ft

Using this knowledge, we can compare Tim's Height to the Tree's Height. The tree's height is 6 times more than Tim (5x6=30). We can find the shadow of the tree if we multiple tim's shadow by 6.

Therefore, 2ft x 6 = 12ft

The Tree's Shadow is 12ft.

Juan is placing a fence in his yard, he has 15 m of fences and he cuts it
into 4 equal pieces. How long is each piece of fence?

Answers

each piece is 3.75 m long

An exam consists of 10 multiple choice questions and 5 open response
questions. Students are responsible for answering 8 of the multiple choice ques-
tions and 3 of the open response questions. How many different ways can a
student complete the exam?

Answers

Answer:

I think it's 55

Step-by-step explanation:

10C3 + 5C3

20% of the guest at the party were children. if 15 children attended the party, how many adults attended?

Answers

Hello, I hope this makes sense

y
5
4
32
2
1
-5 -4 -3 -2 -1 0
-1
-2
Type here to search
လ ရာ
-3
1 2 3 4 5
What is the equation of the blue line?
X
hp
14°C

Answers

Answer:

y=4x-3

Step-by-step explanation:

Using y - intercept form:

y=mx+b

Slope goes up by 4 squares and to the right by 2 squares. This means the slope is 4. The y intercept is -3, thus b is -3.

Write 149,597,870,700 in scientific notation with 3 significant figures

Answers

Answer:

1.50 x 10^11.

Step-by-step explanation:

There 11 digits after the 1 so it is:

1.50 x 10^11.

(1495  to 3 s. f. is 150)

What is the range for the set of data? 6, 7, 10, 12, 12, 13 11 7 6 13

Answers

Answer:

7

Step-by-step explanation:

the range is the difference between the highest and lowest value in a data set.

13 is the highest in the distribution

6 is the lowest in the distribution

13-6=7

Give brainliest, please!

Hope this helps :)

I need help! It is for a task.

Answers

[tex]\text{Given that,}~ q =-4~ \text{and}~ g =1\\\\~~~~~\dfrac{6q}{4}(6g) -q\\\\\\=\dfrac{6(-4)}{4}(6\cdot 1) - (-4)\\\\\\=-6\cdot 6 +4\\\\\\=-36 +4 \\\\\\=-32[/tex]

Step-by-step explanation:

6q/4 (6g) - q

6(-4)/ 4 [6(1)] - (-4)

-24/4 (6) + 4

-6(6) + 4

-36 + 4

-32

PLEASE HELPPP THANK U SO MUCH

Answers

Answer:

396 = 341q-333

Step-by-step explanation:

396 is (396 =)

the quantity q times 341 (341q)

333 subtracted from (-333)

Answer:

341q - 333 = 396

Step-by-step explanation:

multiply q and 341, you get 341q

a number that is subtracted from another number is the same as saying 2 is subtracted from 5 gives you 3, which can be laid out as 5 - 2 = 3

therefore your equation will be 341q - 333 = 396

extra information :

341q = 396 + 333

341q = 729

q = 729/341

q = 2.137829912


What is the mode for the data set?
27, 21, 24, 21, 26, 28, 25, 21, 27, 29, 24

Answers

Answer: 21

Step-by-step explanation:

Mode is the value that appears most often in a set of data values.

Write the numbers in your data set from least to greatest.

        21, 21, 21, 24, 24, 25, 26, 27, 27, 28, 29

Count the number of times each number is repeated and identify the value(s) that occur most often. In this case, 21 repeated 3 times.

Answer:

The mode for the data set is 21

Step-by-step explanation:

The more type of numbers that you see in a data set is the mode... like for example- the data set 1, 1, 1, 5, 6, 7, 5

1 is the mode because there are more 1's than any number in the data set.

Your welcome! ;D

Abc is isosceles. ab=3x-4 and bc=5x-10 what is ab

Answers

Answer:

AB=5

Step-by-step explanation:

3x-4=5x-10

-4=2x-10

6=2x

3=x

AB= 3(3)-4

9-4

5

Answer:

ab = 5.

Step-by-step explanation:
As the 2 sides are equal in length:

3x - 4 = 5x - 10

3x - 5x = -10 + 4

-2x = -6

x = 3.

So ab = 3x-4 = 3(3)-4

= 5.

1 point
A rectangular room measures 13 feet by 16 feet. You want 1/3rd of it to turn into a new half bathroom. How much sq feet is left to the nearest whole sq foot?
A) 155 sqft
B) 188 sq ft
C) 139 sq ft
D) 88 sq ft

Answers

Answer:

D

Step-by-step explanation:

13x16=208

208/3= 69 reapeated.

Josie is trying to select a green block out of a bucket that has 4 green blocks and 8 other colors. max is rolling a die and is trying to get a 1 or a 2. who has a better chance of getting their desired result?

Answers

Answer: Max. Max has a 49% chance of getting a 1 or 2 when Josie only has a 33% chance of getting a green block

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

Silvia was asked to find the Sin(D). her response was 12/15. the teacher said Silvia answer was incorrect what did she do wrong? how can she fix it?

Answers

She can simplify it further by dividing with 3 on both numeration and denominator.

So new answer will be 3/5

Have a good day.

I need the numbers please con y’all help me

Answers

Answer:

[tex]y=\frac{2}{3}x+4[/tex]

Step-by-step explanation:

Calculate the slope by using rise over run to get 2/3x

The Y Intercept is 4

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