A farmer notes that in a field full of horses and chickens there are 35 heads and 98 feet. How many of each animal are there?

Answers

Answer 1

Answer:

There are 14 horses and 21 chickens.

Step-by-step explanation:

First, you have to make expression for horse and chicken. So we can let x be the number of horses and y will be the number of chickens. Next, given that the total number of feet for both animals is 98 so you have to make simultaneous equation :

[tex]4x + 2y = 98[/tex]

( horse has 4 feet and chicken has 2 feet )

There are a total of 35 heads so the other equation will be :

[tex]x + y = 35[/tex]

Lastly, you have to solve it :

[tex]4x + 2y = 98[/tex]

[tex]2(2x + y) = 98[/tex]

[tex]2x + y = 49 - - - (1)[/tex]

[tex]x + y = 35 - - - (2)[/tex]

[tex](1) - (2)[/tex]

[tex]2x + y - x - y = 49 - 35[/tex]

[tex]x = 14[/tex]

[tex]substitute \: x = 14 \: into \: (2)[/tex]

[tex]14 + y = 35[/tex]

[tex]y = 35 - 14[/tex]

[tex]y = 21[/tex]


Related Questions

What is five to the second power in expanded form

Answers

Answer:

20+5

Step-by-step explanation:

Becvause 5 to the second power is 25 and 25 in expanded form is 20+5

HOPE THIS HELPS

X is less than 7 and greater than -7

Answers

Answer:

False

Step-by-step explanation:

& is greater that 7 because you are going back to the nmber like in the negatives

What is the equation for the area of the parallelogram? 3x + x = 74 x + 3x + 74 3x • 74 = x x • 3x = 74

Answers

Answer:

x • 3x = 74

Step-by-step explanation:

Answer:

its D ;D

Step-by-step explanation:

An elevator descends 36 feet in 3 seconds. What
integer represents the elevator's change in
elevation in feet per a second?

Answers

Answer:

12

Step-by-step explanation:

36/3 = 12

Answer:

it is moving up 12 feet per second

Step-by-step explanation:

divide 36 by 3 and you will get 12 feet

Need HELP ASAP I WILL MARK BRAINLIEST
REWARD=Points and brainliest

Answers

Step-by-step explanation:

its really hard to see the graph but i could answer it for you if i just had a better picture

It the second picture it seems as if you need to find out the transitions of its angle.

Solve the equation below for x.

cx-4=7

A. x=c/3
B. x=3/c
C. x=11/c
D. x=c/11

Answers

Answer:

x = 11/c

Step-by-step explanation:

Solve for x:

c x - 4 = 7

Hint: | Isolate terms with x to the left-hand side.

Add 4 to both sides:

c x = 11

Hint: | Solve for x.

Divide both sides by c:

Answer: x = 11/c

Amanda has completed 68 deliveries so far this week. She needs to make 85 deliveries for the week. What percentage of her deliveries has Amanda completed?
0

Answers

She has completed 80%

6/15 * 1/2 =

Help please

Answers

The answer is 0.2 because you multiply
6/15 * 1/2 = 1/5

Reduce the numbers with the greatest common factor *cross cross* ex. 6 divided by 2 go into each other which =3
3/15 go into 3(5) 3divided by 3 = 1 15/3=5
= 1/5

Claire's sunflower is 1 8/10 meters tall. Her sunflower is 5/10 meter taller than Leon's sunflower. how tall is Leon's sunflower?

Answers

Answer:

23/10

Step-by-step explanation:

i know its right

please help! Evaluate the following function.
f(x) = -x – 8 for f(-1)

Answers

Answer:

x - 8

Step-by-step explanation:

Plug in -1 for x and you get x - 8

choose the apporopriate value for the following statement 16 deliveries in 4 hours is a unit rate of _____ deliveries per hour
A. 4
B.2
C.7
D.8​

Answers

It should be A. 4, I think

A unit rate of 4 deliveries per hour.

What is the rate?

Rate is the special ratio in which two different terms are in different units.  a number, amount, or degree measured in relation to another object. a payment or charge that is calculated depending on another sum. more specifically: the premium per insurance unit. transitive verb rate.

Given that 16 deliveries are done in 4 hours. from that we can drive no. of deliveries in one hour. let's assume deliveries in one hour is x

For, x per hour =  16/4

x per hour is 4

Therefore the appropriate value for the unit rate of 4 deliveries per hour.

Learn more about the rate Here:

https://brainly.com/question/14731228

#SPJ5

ASAP!!! Tell me the lengh and width and i will give you branilest!

Answers

The length is 500 cm and the width is 300 cm :)

Answer:

The length of the drawing is 10 centimeters and the width is 6 centimeters.

Step-by-step explanation:

500/50= 10 1*10=10 so the length is 10

300/50=6 1*6=6 so the width is 6.

PLS GO FAST I WILL GIVE BRAINLIEST
What is this number worth in scientific notation 1.2675e+37

Answers

Answer:

1.2675e37. I don't know if this is correct I used a stupid calculator

In simplest form I think the answer is 40.44542221

Hewo can anyone help

Answers

Answer:

Hewo can anyone help

Step-by-step explanation:

I would go with the last option,it looks like it makes sense.

Hope that helped,I have snap if you need anything else :)

Answer:

The last one

Step-by-step explanation:


The available interest rate on a $200,000 house is 7% per year. What are the
monthly payments for a 30 year loan and 15 year loan?

Answers

Answer:

Answer:$303,480

Step-by-step explanation: with excellent credit which is $843 per month for 30 years. So first I did 12 x 30 = 360 since there are 360 months in 30 years. And then 843 x 360 = $303,480. So $303,480 is your answer

Step-by-step explanation:

PLS MAKE ME BRAILYSIST PLSSSSSSSSSSS

The dependent variable of Ally works in a shop for 18$ per hour

Answers

Answer:

$18 is the dependent variable

Step-by-step explanation:

$18 depends on the duration of time worked. Hope this helps and good luck on your assignment. (mark me brainliest please?)

What is 3(4p - 2) + 2 (5p + 2)

Answers

Answer:

p=1

Step-by-step explanation:

3(4p-2) +2(5p+2)

12p-6 + 10p + 4

12p-10p= 2p

6-4=2

2/2=1

how many license plates can you make when a license plate consists of 6 out of 26 alphabetical letters each of which can be repeated

Answers

idk if this is right bc it’s just a guess but maybe 156 bc that’s 26x6

Which expression describes the area in square units of a rectangle has a width of 4x^3y^2 and a length of 3x^2y^3

Answers

Area is length x width:

4x^3y^2 x 3x^2y^3

Apply the exponent rule: a^b x a^c = a^(b+c)

4 x 3 = 12

x^3 x x^2 = x^5

y^2 x y^3 = y^5

Combine for final answer: 12x^5y^5


Find the sum of 1.3 + 0.4

Answers

Answer:

1.7

Step-by-step explanation:

Answer:

1.7

Step-by-step explanation:

its common sense

Help quick
(7u2+21u)÷(u+3)

Answers

Answer: it should be 11.infinite 6

Step-by-step explanation:7x2=14+21=35

35/3 = 11.infinite 6

So basically 11.6

Which of these equations, when solved, gives a different value of x than the other three?
9.1 = -0.2x + 10
10 = 9.1 + 0.2x
10 – 0.2x = 9.1
9.1 – 10 = 0.2x

Answers

Answer:

D. 9.1 – 10 = 0.2x

Step-by-step explanation:

I got it right

The odd equation with a different value is equation d

Data;

9.1 = -0.2x + 1010 = 9.1 + 0.2x10 - 0.2x = 9.19.1 - 10 = 0.2x

Linear Equation

To solve this problem, we have to solve each of the linear equations and get the value of x.

a)

[tex]9.1 = -0.2x + 10\\10 - 9.1 = 0.2x\\0.9 = 0.2x\\\frac{0.2x}{0.2} = \frac{0.9}{0.2} \\x = 4.5[/tex]

b)

[tex]10 = 9.1 + 0.2x\\0.2x = 10 - 9.1\\0.2x = 0.9\\\frac{0.2x}{0.2} = \frac{0.9}{0.2} \\x = 4.5\\[/tex]

c)

[tex]10 - 0.2x = 9.1\\-0.2x = 9.1 - 10\\-0.2x = -0.9\\x = 4.5[/tex]

d)

[tex]9.1 - 10 = 0.2x\\0.2x = -0.9\\x = -4.5[/tex]

The odd equation with a different value is equation d

Learn more on linear equation here;

https://brainly.com/question/1884491

Can somebody help me find the perimeter of this figure?

Answers

Answer: P = 64in,

Step-by-step explanation:  P = 17 + 13 + 25 + 9

lisa an experienced shipping​ clerk, can fill a certain order in 7 hours. ​bill, a new​ clerk, needs
8 hours to do the same job. Working​ together, how long will it take them to fill the​ order?

Answers

Answer:

3.73 hours

Explanation:

In 1 hour, Lisa does 1/7th of the order while Bill does 1/8th of the order in an hour. To find out how long it will take them to fill the order, we have to:

Step 1:

Add the rate of both Lisa and Bill together

1/7 + 1/8

Step 2:

Since both denominators of the fractions are different, you have to find the least common multiple of 7 and 8

7·8= 56    8·7= 56

which is 56.

Step 3:

Then, you have to multiply the numerator of 1/7 with 8 and the numerator of 1/8 with 7.

1·8= 8    1·7= 7

The fractions would now have equal denominators:

Lisa: 8/56    Bill: 7/56

Step 4:

Now, you can add them together

8/56 + 7/56

which equals to 15/56. Both Lisa and Bill together completes 15/56th of the order in 1 hour.

Step 5:

15/56 is not the final answer as it is the RATE of them working together. To find how long it will take them total to complete the order, you must divide 56 with 15.

56/15

which is 3.73 hours in decimal form (rounded).

8.9+3.47 i really need help

Answers

the answer is 12.37 hope this helps

Divide.
2 3
3 4.

pls and thank you

Answers

Answer:

[tex]\frac{8}{9}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3} / \frac{3}{4} \\=\frac{2}{3} * \frac{4}{3} \\=\frac{8}{9}[/tex]

6/9​ 9/12 wich one is bigger

Answers

Answer:

9/12

Step-by-step explanation:

because I is the biggest number

Answer:

[tex]\frac{9}{12}[/tex] is the biggest

Step-by-step explanation:

I converted the fraction to a decimal by dividing the numerator by the denominator.

[tex]\frac{6}{9}[/tex] is 0.6... (6 is repeating)

[tex]\frac{9}{12}[/tex] is 0.75

When looking at these 2 decimals I know 0.75 is bigger.

Which means [tex]\frac{9}{12}\\[/tex] is the biggest.

What is the volume of the rectangular prism below?
2 cm
4 cm
4 cm
64 cm 3
20 cm 3

Answers

32 cm 3
.....................

Answer:

32 cm 2

Step-by-step explanation:

volume of rectangular prism formula: lwh l=length (4) w=width (4) h=height (2) so 4*4 2=v; 32=v hope this helps have a great day! :D

The equation y =0.7x represents the distance Henry hikes in miles over time in hours. The graph
represents the rate that Cark hikes. Determine which hiker is faster. Complete the explanation


Henry’s unit rate is ___ miles per hour. Clark’s unit rate is 1.5 miles per hour . So, ____ is faster.

Answers

Answer:

Henry’s unit rate is 0.7 miles per hour. Clark’s unit rate is 1.5 miles per hour . So, Ckark is faster.

Step-by-step explanation:

Distance covered by Henry is represented by y = 0.7x, where x = time (hrs), and y = distance (miles).

Distance covered in 1 hour by Henry would be:

y = 0.7(1) = 0.7 miles per hour

Distance covered by Clark in 1 hour = 1.5 miles per hour

Ckark covers more miles per hour than Henry covers in one hour, therefore, Ckark is faster.

what are the domain and range for each of the following functions​

Answers

Answer:

a.) DomainL: -2 ≥ x < 1        Range:   1 ≥ y < 2

b.) DomainL: -2 > x < 2        Range:   -2 > y < 2

Step-by-step explanation:

look up what the open and closed dots mean

understand how to determine values on the y or x axis

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