Each sheep has 4 legs and each chicken has 2 legs. If a farm boy counts 50 heads and 140 feet, how many sheep are there?

1. 30 sheep
2. 20 sheep
3. 10 sheep

Answers

Answer 1

Answer:

20

Step-by-step explanation:

H+S=50

2H+4S=140

4H+4S=200

4H+4S=200-

2H+ 4S =140

2H=60

H=30

50-30=20

Answer 2

Given:

Each sheep has 4 legs and a chicken has 2 legs.

A farm boy counts total heads = 50

And number of legs = 140

To Find:

Number of sheep.

Solution:

Let the number of sheep in the farm = s

And the number of chicken in the farm = h

If the total number of heads = 50

s + h = 50 ------- (1)

If the total number of the legs = 140

Number of legs of 's' sheep = 4s

Number of legs of 'h' chicken = 2h

Therefore, 4s + 2h = 140

2s + h = 70 -------(2)

Subtract equation (1) from equation (2),

(2s + h) - (s + h) = 70 - 50

s = 20

Therefore, 20 sheep are in the farm.

Learn more to solve the equations,

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Related Questions

Construction Industry-All Employees (Thousands), 2000-2009
A line graph titled construction industry, all employees (thousands), 2000 to 2009, where the x-axis shows years and the y-axis shows all employees, in thousands. Line starts at 6,750 on January 2000, increases to 6,850 on March 2001, decreases to 6,650 on March 2003, increases to 7,700 on March 2006, stays at 7,700 on January 2007, then decreases to 6,700 on January 2009 and continues to decrease.
Construction Industry - Average Hourly Earnings (Dollars), 2000-2009
A line graph titled construction industry, average hourly earnings (dollars), 2000 to 2009, where the x-axis shows years and the y-axis shows average hourly earnings of production workers. Line starts at 17.2 on January 2000, slowly increases to 19.7 on January 2006, then increases more quickly to 20.5 on January 2007 and 22.4 on January 2009.
Based on trends displayed in the graphs above, which answer choice represents a likely situation for 2010?
a.
There will be more than 6.5 million construction employees in 2010, and those employees will have average hourly earnings of $24.00.
b.
There will be over 6 million construction employees in 2010, and the average hourly earnings will be less than twenty dollars.
c.
There will be roughly 6 million employees in 2010, and those employees will have average hourly earnings of $22.75.
d.
There will be over 7.5 million employees in 2010, and those employees will earn, on average, $23.00 per hour.



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Write an equation of the line that passes through (3,7) and is parallel to the line shown.

An equation of the parallel line is y=__.

Answers

at first we should find the equation of this line so we should find a in the equation of y = a x + b and we do not care about b as it is parallel so a = ( (4 -(-2)) ÷ 1 -(-2)) = 2 so y = 2 x + b and we put x = 3 and y = 7 the result is 7 = 2×3 + b and b = 7 - 6 = 1 the equation is y = 2x + 1

Place solve ? I am truly confused

Answers

x = 35°
y = 45°


the angle of x is congruent to 35°, meaning their measurements are equal. and to find y, you must remember that all the angles in a triangle sum to 180°. so, you just need to add 35° and 100°, giving you 135°. from there, you subtract it from 180° and get 45°

i hope this makes sense!!

Help me please, thx

Answers

pretty sure it’s A !!

The boss gives all his employess a 7% pay rise Paul used to earn $8 hour how much does he get after a rise?

Answers

Answer:

1.07*8

Step-by-step explanation:

8.56

Jada has time on the weekends to earn some extra money. A local bookstore is looking for someone to help sort books and will pay $15.00 an hour. To get to and from the bookstore, however, Jada would have to spend $5.50 on subway fare.

Answers

Answer:

Step-by-step explanation:

I assume you want her profit which is $9.50

15.00-5.50

Identify the mistake that was made.
2(3x - 9) = 2x + 30
6x + 18 = 2x + 30
-2x -2x
4x + 18 = 30
-18 -18
4x = 12
4 4
x = 3

Answers

the error was they forgot to make 18 a negative

During February, Kevin will water has ivy every third day, and water his cactus every fifth day. On which date will Kevin first water both plants together?

Answers

Ok I’m bout to help you get this answer

Two cars travel at the same distance. The first car travel at 50 miles per hour and reaches its destination at t hours. The second car travels at a rate of 60 miles per hour and reaches its destination 1 hour earlier than the first car how long does it take for the first car to reach its destination

Answers

Answer:

The first car reaches its destination in 6 hours.

Step-by-step explanation:

Speed of the first car = 50 miles per hour

Time taken = t hours

Distance travelled = Speed × Time = 50 t

Speed of the second car = 60 miles per hour

Time taken = [tex](t-1)[/tex] hours

Distance travelled = Speed × Time = [tex]60(t-1)[/tex]

As two cars travel the same distance,

[tex]50t=60(t-1)\\50t=60t-60\\60=60t-50t\\60=10t\\t=\frac{60}{10}\\t=6[/tex]

So, the first car reaches its destination in 6 hours.

It would take the first car 6 hours to reach its destination.

Speed is the ratio of distance to time. It is given by:

Speed = distance /time

Since the two cars travel at the same distance, let d represent this distance.

The first car travel at 50 miles per hour and reaches its destination at t hours. Hence:

50 = d / t

d = 50t   (1)

The second car travels at a rate of 60 miles per hour and reaches its destination 1 hour earlier than the first car. Hence the time = t - 1. Hence:

60 = d / (t - 1)

d = 60(t - 1)

d = 60t - 60   (2)

Equating both equations gives:

50t = 60t - 60

10t = 60

t = 6 hours

Hence it would take the first car 6 hours to reach its destination

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2. Evaluate the expression for q = 2 6​

Answers

Answer:

12

Step-by-step explanation:

This may not be intirely correct because you said q = 2 6. I think that means 2 times 6.

Anyways

2 x 6 = 12

⇒ q = 12

Triangle EFG has vertices E(–3, 4), F(–5, –1), and G(1, 1). The triangle is translated so that the coordinates of the image are E’(–1, 0), F’(–3, –5), and G’(3, –3).

Which rule was used to translate the image?

T4, –4(x, y)
T–4, –4(x, y)
T2, –4(x, y)
T–2, –4(x, y)

Answers

Answer:

C.) T2, -4(x, y)

Step-by-step explanation:

did on edge :)

The rule of translation of the triangle EFG is (c) T-2,4(x,y)

How to determine the translation rule?

We  have:

Pre-image: E(–3, 4), F(–5, –1), and G(1, 1).Image: E’(–1, 0), F’(–3, –5), and G’(3, –3).

Taking E and E', we have:

E = (-3, 4)

E' = (-1, 0)

Subtract E from E'.

So, we have:

(x, y) = (-1 + 3, 0 - 4)

Evaluate

(x, y) = (2, -4)

This can be rewritten as:

T-2,4(x,y)

Hence, the rule of translation is (c) T-2,4(x,y)

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#SPJ9

Alyssa's company makes a profit of $175,000.
The company then experiences a loss of
$25,000 each month for the next five months.
Which expression represents the net profit
after five months?

Answers

So the initial profit is 175000
If it falls by 25000 per month, this is 25000m
175000-25000m
(Insert the 5)
175000-25000(5)= 50,000

So the net profit after 5 months is $50,000

Hope this helps!

3(x + 4) – 4= 2(x + 4) + x

Answers

Answer:

No solution

Step-by-step explanation:

3x+12-4=2x+8+x

3x+8=2x+8+x

3x+8=3x+8

sub tract 3x on both sides and poof

we get 8 =8

High Hopes^^

Barry-

8 i don’t have time to explain

How can get better at geogrwphy

Answers

Answer:

study DUHHHH

Step-by-step explanation:

order from least to greatest

Answers

Answer:

-26/5, -5.17, root 33, 37/6

Step-by-step explanation:

Answer:

[tex]-5.17, -\frac{26}{5}, \sqrt{33} , \frac{37}{6}[/tex]

Step-by-step explanation:

         = -5.17

26 / 5 = -5.2

[tex]\sqrt{33}[/tex]     = 5.745

37/6    = 6.167

$1.77. Lian weighs a bag of apples on the
Store's Scales. The scale shows that the appies
weigh 1.32 lb. How much do lian's apples
a grocery store, each pound of apples Costs
Cost? show your work.

Answers

Answer:

About $2.34

Step-by-step explanation:

If each pound of apples cost 1.77 and you have 1.32 pounds, you would multiply 1.77 by 1.32 to get 2.3364, but when rounded, 2.34.

Answer:

Step-by-step explanation:

1.77 answer 2.34

or somthing like that

What compound inequality describes this graph

Answers

Answer:

0≥x<4

Step-by-step explanation:

first, let's look at this number line.

there is a closed circle at 0 and an open circle at 4. this means that 0 is included (≤ or ≥) and that 4 is not included (< or >).

these are the endpoints, meaning that in this compound inequality, the numbers next to the symbols are 0 and 4.

x is in the middle of this compound inequality.

0    x    4

now, we have to figure out the symbols in between. i wrote out our choices above for each number. the highlighted portion is greater than or equal to 0 and less than 4, so we can write this compound inequality as the following:

0≥x<4

x is greater than or equal to 0, but less than 4

If Casey deposits $16 into his lunch account each week, how much will be deposited in 5 weeks? If Casey decides to buy lunch for his friend at $3.00 per lunch, how many lunches can he buy his friend?

Answers

Answer:

The exact number would be 26.66666667 but it would be 26.

Step-by-step explanation:

Usually when dealing with decimals anything 5 and up would be rounded up but since we are dealing with money we don't round up. Since his friends lunch cost $3 every lunch the most he will be able to buy is 26. He will have about $2.5 left over which he cannot buy a lunch with so thats why you dont round up.

Which number is a perfect square?

A 265
B 281
C 265
D 249

Answers

Answer:

a and C

Step-by-step explanation:

The panda at those who became ill and lost 4 pounds every week for five weeks in the 6th week she began to feel better and gained 3 lb

Answers

She lost 17 pounds don’t know question

(Trig)A Ferris wheel with a diameter of 90 meters rotates at a rate of 3 minutes per revolution. Riders board the Ferris wheel 3 meters above the ground at the bottom of the wheel. A couple boards the Ferris wheel and the ride starts.

Write a formula for the height of the couple t seconds after the ride begins.

How many seconds after the ride starts will the couple be 70 meters above the ground for the second time?

Answers

Answer:

Step-by-step explanation:

Answer:

65x-489

Step-by-step explanation:

It’s says the answer has to be numbers

Answers

Answer:

-19.8

High Hopes^^

Barry-

Answer:

-19.8

Step-by-step explanation:

Negative*Positive = Negative

-9*2 = -18

-9*0.2 = -1.8

Eddie compared prices of two auto-rental agencies for the use of a mid-size auto for one week. Right Price Auto charged a flat fee of $386 plus $0.20 per mile driven. EconoCar charged a flat fee of $344 plus $0.35 per mile driven. Which equation is written correctly, for the company he used to determine the distance in miles, m, that would make the total charges of both auto-rental agencies equal. Group of answer choices

Answers

Answer:

A. 386 + .20m = 344 + .35m

280 miles

Step-by-step explanation:

A. 386 + .20m = 344 + .35m

B. 344 + .20m = 386 + .35m

C. 344 + 20m = 386 + 35m

D. 386 + 20m = 344 + 35m

Right Price Auto charged a flat fee of $386 plus $0.20 per mile driven.

Right price auto = fixed charge + variable charge

= 386 + .20m

Where m = number of miles

EconoCar charged a flat fee of $344 plus $0.35 per mile driven.

EconoCar = fixed charge + variable charge

= 344 + .35m

Where m = number of miles

Equate the total charges of both auto-rental agencies

Right price auto = EconoCar

386 + .20m = 344 + .35m

Collect like terms

386 - 344 = .35m - .20m

42 = .15m

Divide both sides by .15

m = 42 / .15

= 280

m = 280 miles

r/10+4=5 answer plzz

Answers

Answer:

r = 10

Step-by-step explanation:

Solve for  r  by simplifying both sides of the equation, then isolating the variable.

Ahhhh! Help! This is due tomorrow and I don't know how to do any of this! We haven't learned it yet!

Answers

Answer:

3. 2k=90 k=45

4. 2a=120 a=60

5. b=90

Step-by-step explanation:

plug in the answers to check, especially for question 5

x^{2}+10x-24
helpppppp

Answers

Answer:

X=2

Step-by-step explanation:

8. The total weight of a vase and its packaging is: 4 lb. 7 oz. The vase by itself
weighs 3 lb. 11 oz. What is the weight of the packaging materials?
(a) 8 lb. 2 oz.
(d). 6 oz.
(b) 12 oz.
(e) none of these
(c) 1 lb. 4 oz.
Please show the work

Answers

Answer:

E

Step-by-step explanation:

the weight of the packaging materials is 12 oz. There are 16 oz in a pound. If the vase weighs 3 lb 11 oz, it would take 5 more oz to reach the next pound, and there was another 7 oz after that. You would then do 5 + 7, which is 12, so the packaging materials weigh 12 oz.

Joe wants to buy a skateboard but he doesn't know if he has enough money. THe price of the skateboard is $85 and the sales tax is 6%. What is the sales tax for the skateboard in dollars in cents.

Answers

Answer: $5.1

Step-by-step explanation:

From the question, we are informed that thee price of the skateboard is $85 and that the sales tax is 6%.

To calculate the sales tax for the skateboard in dollars in cents, we find 6% of$85. This will be:

= 6% of $85

= 6% × $85

= 6/100 × $85

= 0.06 × $85

= $5.1

= 5 dollar, 10 cents

find the slope of 3,12 and 12,15

Answers

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

(3,12) (12,15)

[tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{15-12}{12-3}[/tex] = [tex]\frac{3}{9}[/tex] = [tex]\frac{1}{3}[/tex]

The slope will be : 1/3
Use the Calculator & See If that help :)

Conchita starts a savings account. She deposits $100 from her parents. After that, she
deposits $10 each month. Write an algebraic expression to give the amount of money she
has saved after m months.

Answers

Answer:

$100 + $10m

Step-by-step explanation:

A = Account Balance = 100

After M months

A = $100 + $10m

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