Mathematics High School

Farmer Tom raises ducks and horses on his farm. All of his horses need new horseshoes. He calls the farrier (a person who puts shoes on horses) but has a difficult time remembering how many of each animal he owns. He knows that there are a total of 24 animals. The animals have a total of 62 legs (all animals have either two or four legs). How many horses does Tom own?

Answers

Answer 1

h+d=24

h = 24-d

4h +2d = 62

4(24-d) +2d = 62

96 -4d +2d =62

96-2d =62

-2d =-34

d =-34/ -2 = 17

17 ducks

24-17 = 7 horses

Related Questions

Write an equation that represents a vertical translation 7 units down of the graph of g(x)=|x|

Answers

Translation involves changing the position of a function.

The equation that represents the new function is: [tex]\mathbf{g'(x) = |x| - 7}[/tex]

The parent function is given as:

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

The rule of translating a function down is:

[tex]\mathbf{(x,y) \to (x,y-h)}[/tex]

Where: h is  the number of units translated down

i.e. h = 7

So, we have:

[tex]\mathbf{g'(x) = g(x) - h}[/tex]

Substitute [tex]\mathbf{g(x) = |x|}[/tex]

[tex]\mathbf{g'(x) = |x| - h}[/tex]

Substitute 7 for h

[tex]\mathbf{g'(x) = |x| - 7}[/tex]

Hence, the required function is: [tex]\mathbf{g'(x) = |x| - 7}[/tex]

Read more about vertical translations at:

https://brainly.com/question/12463306

The equation that represents the given situation is g(x) = |x|-7

To write an equation that represents a vertical translation 7 units down of the graph of g(x) = |x|, we need to modify the original function accordingly.

A vertical translation can be represented by adding or subtracting a constant to the function. In this case, since we are translating the graph downward by 7 units, we subtract 7 from the original function:

g(x) = |x| - 7

Thus, the equation that represents this vertical translation is g(x) = |x| - 7.

This results in each point on the graph of g(x) = |x| shifting 7 units downward, creating the new graph of g(x) = |x| - 7.

PLEASE HELP OVER 50 POINTS ONE QUESTION

8. Fill in the missing reasons for the algebraic proof below.
A:
B:
C:

Answers

a) distribution property
b) addition property of equality
c) division property of equality

hope this helps

a. Distributive property of addition
b. Subtraction property of equality
c. Division property of equality

1. solve the proprotion k/5=5/125.
a) 1/25
b) 25
c) 5
d) 1/5


2. round the answer of 0.4x-0.2=2.5 to two decimal places.
a) -2.70
b) -6.75
c) -5.75
d) -3.25

3. what is the y-intercept of 4x-3y=-12?
a) -4
b) 3
c) -3
d) 4

Answers

1. solve the proportion k/5=5/125.
First reduce 5/125.
5/125 = 1/25
Now you can cross multiply.
25k = 5
k = 5/25
k = 1/5
d) 1/5

2. round the answer of 0.4x-0.2=2.5 to two decimal places.
0.4x=2.7
x = 6.75
b) -6.75

3. what is the y-intercept of 4x-3y=-12?
The y-intercept is when x = 0.
4(0) - 3y = -12
-3y = -12
y = 4
d) 4

What is the average of 12 1/2, 13, and 13?

Answers

To get the average add up the totals and divide by the amount
(12.5+13+13)/3

=38.5/3 
=12.833

Can somebody help me please?

Answers

The second answer would actually *not* be the correct one. The graph of the inverse of a function is one you obtain by reflecting the graph of the function across the line y = x (the dotted diagonal line in the first picture). Imagine “folding” the graph perfectly across that line. Which of those orange lines best represents that reflection?

The temperature was 8 degrees below zero. What does the 0 represent?

Answers

The zero represents the origin
the zero ( 0 ) is the orgin

i hope this helped! have a wonderful day!!!


40% of a certain number is 80 what is that number ?

Answers

let number be x
40/100(x)=80
x=200
Since 40%=80, 80% must be 160, so half of 40 is 20  so the 20% is 40, 40+160=200

Your answer is 200.

What has 6 wheels and flies ?

Answers

A bird with roller blades.

Answer:

A garbage truck

Step-by-step explanation:

There are 8 pencils in package.how many packages will be needed for 28 children if each child get 4 pencils

Answers

8 pencils = 1 package
28 children need pencils
Each child gets 4 pencils

28x4 = 112 (pencils needed)

112/8 = 14 packages needed.

how can i turn 7/2 into a decimal

Answers

We can split it into two numbers : 6 and 1

half of 6 is 3 as you need 2 lots of 3 to make six
half of 1 is 0.5 as you need 2 lots of 0.5 to make 1

therefore 3 + 0.5 is 3.5.

you need 2 lots of 3.5 to make 7
One method would be to get the denominator into a more common form for dealing with decimal values. Notice the root dec- , the Latin root for "10" in the word decimal. This describes the fact that our common number system, the decimal system, is based on powers of 10. To prepare 7/2 for conversion to decimal, we should first make sure its denominator is some power of 10. To make the conversion, let's multiply it by 1 in the form of 5/5:

[tex] \frac{7}{2} \cdot \frac{5}{5} = \frac{35}{10} [/tex]

Or, as a mixed number:

[tex]3 \frac{5}{10} [/tex]

If you're familiar with how to read decimal values, "3 and 5 tenths" can be written in decimal form as 3.5.

In how many ways can the letters in the word 'alaska' be arranged?

Answers

The word Alaska can be arranged in 720 ways

If a six sided die is tossed two times and '3' shows up both times, the probability of a '3' on the third trial is

Answers

1 out of 6 time you would be able to get three the third time 

If a six sided die is tossed two times and '3' shows up both times, the probability of a '3' on the third trial is  [tex]\frac{1}{6}[/tex]

Given :

A six sided die is tossed two times and '3' shows up both times

'3' shows up both the times .

When the dice is rolled third time. there are 6 possibilities comes up

In the third trial , we have six possibilities 1,2,3,4,5,6

Out of six possibilities , the chance of getting '3' is only once

So, the probability of a '3' on the third trial is [tex]\frac{1}{6}[/tex]

Learn more: brainly.com/question/15981880

If a = -4, and b = 3 what is |a-b|

Answers

Absolute value is the number of units a number is from 0. Basically, you just make everything positive. For example |-5| is 5; |5| is also 5.

Using this concept:

|a - b|
|-4 - 3|
|-7|
7

Hope this helps!
la-bl
l-4-3l
l-7l
7
I think that’s how you do it

What is the value for X?
- 24
-9
-21
-14
what is the measure of <1?
- 45
- 60
- 120
-125

Answers

180-(5x+15)=3x-3
180-5x-15=3x-3
-5x-3x=-3-180+15
-8x= -168
x= 168/8= 21
x=21

angle <1
180-(3x-3)
180-(3×21-3)
180-(63-3)
180-60= 120°
Final answer:

The value of X is -14 and the measure of <1 is 60 degrees.

Explanation:

The value of X is -14. This can be determined by checking each option and finding the one that satisfies the given condition. Similarly, the measure of <1 is 60 degrees. This can also be determined by checking each option and finding the one that matches the given criteria.

Learn more about Mathematics here:

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#SPJ2

Which temperature conversion is correct? °c = k - 273 k = 273 x °c k = °c - 273 °c = k + 273?

Answers

K=C-273 is the right answer

Answer: The formula to convert kelvin to degree celsius is:

°C=K-273

First option: °C=K-273

Which number is a solution of the inequality? 6 ≥ 6k?

Answers

This isnt a inequality

Find the value of a.

Answers

set them equal then solve with basic algebra
a = 18
6a + 11 = 2a + 83
6a - 2a = 83 - 11
4a = 72
  a = 72/4
  a = 18

Why is it incorrect

Answers

keeping in mind that, an absolute value, is in effect a piece-wise function, so is a duplet, so |whatever here|   is really two siblings, the positive and negative siblings  +(whatever here) and -(whatever here), thus

[tex]\bf \cfrac{|3v-1|}{5}\ge 4\implies |3v-1|\ge 20\implies \begin{cases} +(3v-1)\ge 20\\ -(3v-1)\ge 20 \end{cases}\\\\ -------------------------------\\\\ +(3v-1)\ge 20\implies 3v-1\ge 20\implies 3v\ge 21\implies v\ge \cfrac{21}{3} \\\\\\ \boxed{v\ge 7}\\\\ -------------------------------\\\\[/tex]

[tex]\bf -(3v-1)\ge 20\implies -3v+1\ge 20\implies -3v\ge 19 \\\\\\ \stackrel{\textit{negative division, the sign changes}}{v\le \cfrac{19}{-3}}\implies \boxed{v\le -\cfrac{19}{3}}\\\\ -------------------------------\\\\ 7\le v\le -\cfrac{19}{3}[/tex]

Is it possible for two linear functions whose graph are parallel to have the same y-intercept

Answers

If you have e two linear functions and on a graph they are parallel that means they have the same slope with different y intercepts. If they are parallel and have the same y intercept then they would be the same graph. So no it’s not possible because there would not be two different graphs/functions; they would be exactly the same.

Raul is selling coupon books. He started with 50 coupon books and has already won a prize for selling at least 10 coupon books. The total amount of money Raul will make from selling x coupon books is represented by a function.



f(x)=20xf(x)=20x



What is the practical domain of the function if Raul sells 50 coupon books?

Answers

The practical domain would be all integers 10 to 50.

A red kangaroo can cover 40 feet in 1 jump. How many feet can the red kangaroo cover in 12 jumps.

Answers

The red kangaroo can jump 480 feet in 12 jumps. (40 * 12 = 480)

Closest integer to the square root 75

Answers

Square root of 75 is 8.660254

Thus the nearest integer is 9

Hope this helps :)
I think you want to find the lower and upper bound.

√64 = 8
√81 =9
think it should be 9 it's closer

Geometry help please

2 attachments, 1 question

Answers

The answer to this question should be: 
1. definition of supplementary angles
2. 115
3. definition of acute angle

Supplementary angles mean that the angle will add up to 180°. In this case, that means PQR + RQS= 180° where PQR=115°
So the RQS would be 180-115=65° Acute angle is when the angle is <90° so RQS is acute angles

What is the median of the data set: 15, -2, 0, 15, 2, 12

Answers

put in order
-2, 0, 2, 12, 15, 15
median is the middle number
so
median = (2+12)/2 = 14/2 = 7

hope it helps
To find the median, you have to number it from smallest to largest. 
-2,0,2,12,15,15
Since there are 2 medians, you find the average of those two numbers.
2+12 is 14/2 is 7.
7 is the median.

solve for x
5.1 x = 1.02

Answers

5.1(x) = 1.02

5.1(x)/5.1 = 1.02/5.1

x = 1.02/5.1

x = 0.2

hope this helps
The answer is .02 for this question 

What is the measure of each interior angle for a regular polygon with 30 sides?

Answers

Number of degrees in the 30 sided regular polygon is (30-2)x180 = 5040
5040/30=168 degrees in each interior angle

Factor the expression:
30x^3-5x^2-18x+3

PLZ SHOW YOUR WORK

Answers

Lets split this up

30x^3 -5x^2  turns into 5x^2(6x-1)

-18x+3 turns into -3(6x-1)

we can then combine them to get (5x^2-3) (6x-1)

What shape has 4 congruent sides but is not a square?

Answers

yes yes rhombus, i checked on google

Find the values of x and y.

a. x=44, y=66
b. x=46, y=44
c. x=90, y=44
d. x=90, y=46

Answers

m<B = m<C = 46
m<BAC = 180 - 2(46) = 180 - 88
y = 88/2 = 44

x = 180 - (44+46) = 180 - 90 = 90

answer
c. x=90, y=44

Sarah washes cars at the car wash. She makes $8.25 per hour and earns $30 in tips per day. Give an expression that Sarah could use to calculate her daily earnings.

Answers

expression: 8.25x+30
equations: y=8.25x+30
x= hours
y= total amount of money

you would need to multiply 8.25 by the number of hours worked (x) and then add the tips

 so it would be A. 8.25x+30

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