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
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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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
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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How can get better at geogrwphy
Answer:
study DUHHHH
Step-by-step explanation:
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
the error was they forgot to make 18 a negative
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
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.
Answer:
Step-by-step explanation:
I assume you want her profit which is $9.50
15.00-5.50
Help me please, thx
x^{2}+10x-24
helpppppp
Answer:
X=2
Step-by-step explanation:
What compound inequality describes this graph
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
2. Evaluate the expression for q = 2 6
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
3(x + 4) – 4= 2(x + 4) + x
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-
find the slope of 3,12 and 12,15
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]
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)
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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Ahhhh! Help! This is due tomorrow and I don't know how to do any of this! We haven't learned it yet!
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
It’s says the answer has to be numbers
Answer:
-19.8
High Hopes^^
Barry-
Answer:
-19.8
Step-by-step explanation:
Negative*Positive = Negative
-9*2 = -18
-9*0.2 = -1.8
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=__.
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
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?
r/10+4=5 answer plzz
Answer:
r = 10
Step-by-step explanation:
Solve for r by simplifying both sides of the equation, then isolating the variable.
order from least to greatest
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
Place solve ? I am truly confused
Which number is a perfect square?
A 265
B 281
C 265
D 249
Answer:
a and C
Step-by-step explanation:
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?
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.
The boss gives all his employess a 7% pay rise Paul used to earn $8 hour how much does he get after a rise?
Answer:
1.07*8
Step-by-step explanation:
8.56
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
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.
$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.
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
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.
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
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.
Answer:
$100 + $10m
Step-by-step explanation:
A = Account Balance = 100
After M months
A = $100 + $10m
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
Answer:
c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
(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?
Answer:
Step-by-step explanation:
Answer:
65x-489
Step-by-step explanation:
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?
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
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