The total animals = 139, and we can substitute this value into equation (3) to obtain:x = 2(139) - 279 => x = -1This doesn't make sense since we can't have negative chickens.
Let the number of chickens be x and the number of cows be y in the backyard. We can create two equations based on the given information:The total number of animals is x + y = total animals ...
(1)The total number of eyes and legs can also be expressed as 2x + 2y = 366 (since each animal has two eyes) and 2x + 4y = 558 (since each chicken has 2 legs and each cow has 4 legs).
Simplifying the equations, we get:x + y = total animals ... (1)x + 2y = 279 ... (2)From equation (1),
we can substitute y = total animals - x in equation (2) to obtain:x + 2(total animals - x) = 279 => 2total animals - x = 279 => x = 2total animals - 279 ... (3)We also know that x + y = total animals, so y = total animals - x.
Substituting equation (3) into this expression, we get:y = total animals - (2total animals - 279) => y = 279 - total animals ... (4)
To find the value of x, we need to know the value of total animals. We can obtain this value by adding equations (1) and (4):x + y + (279 - total animals) = total animals => x + y = 279/2 => x + y = 139.5
Since x and y are both whole numbers, they must add up to an even number. The only possible value is 70 + 69 = 139. Therefore, there must be a mistake in the problem statement or calculations.
To learn more about : value
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You deposit $500 at 6% interest annually. After 6 months, how much money will you earn?
6. cory gets paid every two weeks. he works 40 hours per week at $7.75 per hour. cory has the following deductions: 8% for medical insurance, 12% for federal and state taxes, and 10% for retirement. cory's net pay will be $________.
Answer:
$434
Step-by-step explanation:
Gross Pay
$7.75 per hour40 hours per weekPay received every 2 weeks⇒ Total gross pay = 7.75 × 40 × 2 = $620
Deductions
Medical insurance = 8%Taxes = 12%Retirement = 10%⇒ Total deductions = 8% + 12% + 10% = 30%
Net Pay
Net Pay = Total Gross Pay - Total deductions
= $620 - (30% of $620)
= $620 - (0.3 × $620)
= $620 - $186
= $434
Therefore, Cory's net pay will be $434.
The radius of a cone is 4.9 cm and its height is 10 cm. Find the volume of the cone to the
nearest tenth. Use 3.14 for pie
Answer:
V = 251.3
Step-by-step explanation:
Volume of a Cone formula:
V = πr²(h/3)
Given:
r = 4.9
h = 10
Work:
V = πr²(h/3)
V = 3.14(4.9²)(10/3)
V = 3.14(24.01)(10/3)
V = 251.3
how a single number could be a ratio?
Step-by-step explanation:
For example, the number 5 can be written as [tex]\frac{5}{1}[/tex] . And that [tex]\frac{5}{1}[/tex] can also be written as 5:1, which is a ratio. By converting the single number to a fraction, then converting the fraction into a ratio, you can turn a number into a ratio.
Hope this helps.
PLZ HELP I WILL MAKE YOU BRAINLIEST NO FAKE LINKS
Answer:
1/30 of an hour
Step-by-step explanation:
You want to buy a pet rabbit that costs $49. You already have $18 and you plan to save $9 per week. If w represents the number of weeks until you have enough money to buy the rabbit, what equation could you use to find the value of w? Use pencil and paper. Explain how you could set up an equation to find the amount of money you should save each week if you want to buy the rabbit in six weeks.
Answer:
You would need $31 so W=4 and you would have $5 left
Step-by-step explanation:
i did 49 minus 18 which gave me 31 so 9c3 would be 27 so i did 9 times 4 would =36 and if you work for 6 weeks you would have 54 and add 18 to it and you would have $72
sorry if im wrong or late
Which is more 4 inches or 1 foot
Answer: 1 foot
Step-by-step explanation:
because 1 foot is equivalent to 12 inches
what is the best math answer ever
Lol you like maths? Honestly, I don't like it much b r u h
Dawson purchased a pair of shoes on boxing-day that was discounted by 60% from the original price of $150.00. Calculate the amount he paid for the pair of shoes.
Answer: $90
Step-by-step explanation:
To find 60% of 150, you can simply use this equation, 60 X 150 divided by 100. That will leave you with 90, which is the amount he paid for the shoes. :)
Answer:
$60.00
Step-by-step explanation:
100 - 60 = 40% (Percentage after discount)
100% = 150
1% = 150 ÷ 100 = 1.5
40% = 1.5 x 40 = $60
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
And please say which letters it is, thx!
Jose draws ABC. AB has a length of 10 inches and BC has a length of 15 inches.
Determine whether each measurement could be the length of AC.
Choose Yes or No for each measurement.
a. 4 inches Yes : No
b. 15 inches Yes : No
c. 23 inches Yes : No
d. 5 inches Yes : No
e. 25 inches Yes : No
f. 10 inches Yes : No
Solve for x. Assume that lines which appear tangent are tangent.
Answer:
Step-by-step explanation:
Determine the missing side length
Hope this helps the answer is 97!
A home is purchased for $ 794,000 with a 16% down payment. Find the monthly payment if the mortgage is 7.22% for 19 years. Round your answer to two
decimal places, if necessary,
Answer:
The monthly payment will be of $11,485.37
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
A home is purchased for $ 794,000 with a 16% down payment.
So the value of the loan, that is, the amount subject to interest, will be given by:
[tex]P = (1-0.16)*794000 = 0.84*794000 = 666960[/tex]
How much will the interest accumulate to?
7.22% of interest means that [tex]r = 0.0722[/tex]
19 means means that [tex]t = 19[/tex]
Monthly means that [tex]n = 12[/tex]
So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(t) = 666960(1 + \frac{0.0722}{12})^{12*19}[/tex]
[tex]A(t) = 2618664.5[/tex]
Monthly payment:
2618664.5 divided in 19*12 payments. So
2618664.5/(19*12) = 11485.37
The monthly payment will be of $11,485.37
What is the missing length?
The area of a triangle is 174 square inches. The base is 29 inches. What is the height in inches? Do not include units in your answer.
Answer:
Your answer would be 6
Step-by-step explanation:
Area=174
Base=29
174 divided by 29
Equals 6
6 times 29
Equals 174
So since 29 times 6 gave you 174 which is your area, your answer would be 6 since it is the missing height to your problem.
:)
Answer: 12
Step-by-step explanation:
We can use the formula for the area of a triangle, to help us find the height:
Area=12⋅b⋅h
Using the formula for area, we can solve for the height by plugging in the information we have about the area and the base:
174=12⋅29⋅h
Isolate h by multiplying both sides by 2 and dividing both sides by 29.
hh=2⋅17429=12
The height is 12 inches.
find the Range 11,10,15,17,14
(highest) -(lowest)
17-10
=7
find the square of 2a plus 3b
Here is your answer!!
Answer:
[tex]= 4a^{2} + 12ab + 9b^{2}.[/tex]
Step-by-step explanation:
[tex](2a+3b)^{2}[/tex]
[tex]= (2a + 3b) (2a + 3b)[/tex]
[tex]= 4a^{2} + 6ab + 6ab + 9b^{2}[/tex]
[tex]= 4a^{2} + 12ab + 9b^{2}.[/tex]
HELP ASAP!!! A spinner has three sections colored green, purple, and pink. If the spinner is spun twice, how many branches would the tree diagram that represents this situation have? 6 5 9 12
Answer:
The answer is 9.
Answer:
The answer is 9
Step-by-step explanation:
I got it right on the quiz
Please please help please
Answer:
I have to know what you need help with, maybe post a picture or type the question next time?
As part of a spring clearance, Macy’s put dress shirts on sale, 2 for $25.98. Assuming this discount applies even if we buy an odd number of dress shirts, how much will five shirts cost?
Answer:
The answer would be $64.95
Step-by-step explanation:
Divide $25.98 by 2 and you'd get $12.99 as an answer.
Now multiply $25.98 by 2 and then add $12.99 to your answer.
If ∆SDE ~ ∆SWT, find WT.
A vacuum flask (for keeping drinks hot) is modelled as a closed cylinder in which the internal radius is r cm and the internal height is h cm.
The volume of the flask is 1000 cm³. A flask is most efficient when the total internal surface area, A cm², is a minimum.
(i) Show that A = 2π2²+ 2000/2
(ii) Given that r can vary, find the value of r, correct to 1 decimal place, for which A has a stationary value and verify that the flask is most efficient when r takes this value.
(i) To find the total internal surface area, we need to calculate the area of the curved surface and the areas of the top and bottom circles.
The curved surface area of the cylinder is given by the formula:
A_curved = 2πrh
The area of the top and bottom circles is given by the formula:
A_circles = 2πr²
The total internal surface area is the sum of the curved surface area and the areas of the top and bottom circles:
A = A_curved + A_circles
= 2πrh + 2πr²
Given that the volume of the flask is 1000 cm³, we have the equation:
πr²h = 1000
Solving for h, we get:
h = 1000 / (πr²)
Substituting this value of h into the equation for A, we have:
A = 2πrh + 2πr²
= 2πr(1000 / (πr²)) + 2πr²
= 2000/r + 2πr²
Simplifying further, we get:
A = 2000/r + 2πr²
= 2πr² + 2000/r
(ii) To find the value of r for which A has a stationary value, we differentiate A with respect to r and set the derivative equal to zero.
dA/dr = 4πr - 2000/r² = 0
Multiplying through by r², we get:
4πr³ - 2000 = 0
Solving for r, we have:
4πr³ = 2000
r³ = 2000 / (4π)
r = (2000 / (4π))^(1/3)
Calculating this value to one decimal place, we get:
r ≈ 3.4 cm
To verify that the flask is most efficient when r takes this value, we need to check the second derivative of A with respect to r.
d²A/dr² = 12πr² + 4000/r³
Substituting the value of r, we have:
d²A/dr² = 12π(3.4)² + 4000/(3.4)³
Calculating this value, we find that it is positive, indicating a minimum. Therefore, the flask is most efficient when r ≈ 3.4 cm.
Please help! *no links* GIVING BRAINIEST
Answer:
6) D
7) B
8) J
9) A
10) A
11) L
12) I
Step-by-step explanation:
Hope this helped :)
tank a has 100 gallons of water and is being filled at a rate of 2 gallons per hour. tank b has 140 gallons and is being drained at a rate of 6 gallons per hour. how many hours must pass in order for the total amount of water in tank A and B to be the same.
Answer:
5 hours must pass
Step-by-step explanation:
Graph the equations y = 2x + 100 and y = -6x + 140
Then find the x intercept of their intersection, in this case, that is 5
Adam bought 6 yogurt cups for $8. Which of the following represents a higher unit rate than what Adam paid?
a. 4 yogurt cups for $6
b. 8 yogurt cups for $10
c. 10 yogurt cups for $12
d. 12 yogurt cups for $14
Answer:
A, 4 yougurt cups for $6
Step-by-step explanation:
The reason I did the math myself. Sorry if its incorrect.
choose the equation that best describes the following graph.
please answer ASAP.
a) y=-3/2x+5
b) y=-2/3x+5
c) y=-3/2x+3 1/2
d) y=-2/3x+3 1/2
Answer:
d) y= -2/3x+3 1/2
Step-by-step explanation:
Points on the graph: ( -4, 6) and ( -7, 8)
Slope:
m=(y2-y1)/(x2-x1)
m=(8-6)/(-7+4)
m= 2/(-3)
m= -2/3
Slope-intercept:
y - y1 = m(x - x1)
y - 6 = -2/3(x + 4)
y - 6 = -2/3x - 8/3
y = -2/3x + 3 1/2
This is the graph of f(x). What is the value of f(2)?
10-+
Ο Α. 16
Β. 2
C. 4
D. 8
Answer:
b
Step-by-step explanation:
The circumference of a circle is 11 pi inches.
What is the area, in square inches, of the circle? Express your answer in terms of pi
9514 1404 393
Answer:
30.25π square inches
Step-by-step explanation:
You can use the formula for area in terms of circumference:
A = C²/(4π)
A = (11π)²/(4π) = (121/4)π = 30.25π . . . square inches
_____
You may be expected to find the radius first:
C = 2πr ⇒ r = C/(2π) = 11π/(2π) = 5.5 . . . inches
Then use the area formula:
A = πr² = π(5.5 in)² = 30.25π in²
808 - 589 what is the answer I need help
(I'm just trying to see if anybody here smart)
☁️ Answer ☁️
Find out who owns any 808-589 phone number. Get name, address, relatives, court records for the registered owner. (Nah jk)
The answer is:
219
Explanation: I used my eyes, fingers, and a calculator.
Hope it helps.
Have a nice day noona/hyung
PLZ ANSWER NO FAKE LINKS
Answer:
equation is 4*3 =12
Step-by-step explanation:
She had 12 guests because there was 4 parts each.