Given that the area of the rectangular field is 15,000 sq. ft and it's width is 470 ft less than the length of the of the field, the dimensions of the field would be:
Length = 500 ftWidth = 30 ftRecall:
Area of rectangle: A = length x widthGiven:
Area of rectangular field = 15,000 sq. ftlength = lwidth = l - 470Required:
Dimensions of the field (the length and the width).Thus, using the area formula, the equation below is derived:
[tex](l)(l - 470) = 15,000[/tex]
Solve for l[tex]l^2 - 470l = 15,000\\\\l^2 - 470l - 15,000 = 0\\\\[/tex]
Factorize[tex](l + 30)(l - 500) = 0\\\\[/tex]
[tex]l = -30 $ or $ l = 500[/tex]
We will go with the positive value, which is 500.
Therefore, the length of the rectangular field is 500 ft.
Width = l - 470
Plug in the value of lWidth = 500 - 470
Width = 30 ft
Therefore, given that the area of the rectangular field is 15,000 sq. ft and it's width is 470 ft less than the length of the of the field, the dimensions of the field would be:
Length = 500 ftWidth = 30 ftLearn more here:
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- According to CTIA.org, there were 327.6 million cell phones in the U.S. in 2014. The U.S. population was approximately 317.9 million at that time. How many cell phones per capita were there in the U.S. in 2014? (Round to the nearest hundredth)
Answer:
1.03
Step-by-step explanation:
Per capita just means per unit of population, or per person. This question is asking how many cell phones there were in the United States per person in 2014. We can use simple division to determine that the answer is 327.6/317.9 or about 1.03 when rounded to the nearest hundredth.
Answer:
1.03
Step-by-step explanation:
give the quadratic sequence 2,3,10,23,........
write down the next term of the sequence.
Answer:
The next term of the sequence is 42
HELPPPPPPPP!!!! In 1.6, we learned about rational exponents. In a rational exponent, the numerator is the power that the base of the exponent is being raised to and the denominator is the root that is being taken of that base. If the numerator is odd, why is there only one root?
Kimberly has a revolving credit account at an annual percentage rate of 15% her previous monthly balance was $784.19 find a new balance if Kimberly's account show The Following activity - 88.76 + 115 + 210.72 - 354.12 - 723.92
Answer:
784.19(1 + .15/12) = 793.99
Step-by-step explanation:
Find the product of 44.6 and 2.34.
Answer:
104.364
Step-by-step explanation:
Product means multiplication so:
44.6×2.34 = 104.364
-8+r>-8
please show work
Hello there!
-8+r>-8
Move all the numbers to the right:
r>-8+8
r>0
Hope it helps!
~Just a joyful teen
[tex]GraceRosalia[/tex]
Pokyaa is 11 years older than Afriyie, if altogether the two sisters age is 52, what is Pokyaa's age?
Pokyaa is 31 years, 6 months, while Afriyie
is 20 years, 6 months
The age of Pokyaa's such that Pokyaa is 11 years older than Afriyie is 31 years and 6 months old.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
Let's assume that the age of Pokyaa is P while the age of Afriyie is A.
As per the given,
Pokyaa is 11 years older than Afriyie
Therefore, P = 11 + A
Altogether P + A = 52
Substitute,A = 52 - P into P = 11 + A
P = 11 + (52 - P)
P = 11 + 52 - P
P + P = 63
2P = 63
P = 32.5 ⇒ 31 years and 6 months.
Hence "The age of Pokyaa such that Pokyaa is 11 years older than Afriyie is 31 years and 6 months old".
For more about the equation,
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what is the answer for this equation 3x-2=2x+9
Answer:
x = 11
Step-by-step explanation:
3x-2x=9+2 1st and 2nd principle
X=11
need help desperately.. y – 2.234 = 7.92
Answer:
251,734.
Step-by-step explanation:
Please help me out. Thanks
Answer:
y=-2x+5
Step-by-step explanation:
2,1 and 3,-1
gradient
=(3-1)/-1-1
gradient = -2
y=5
y=-2x+5
i asked a question a while ago and nobody has answered it pls help
Answer:
bet but need barinlyist
Step-by-step explanation:
There are 120 apples, 1/16 have sprinkles. How many have sprinkles?
Answer:
7.5
Step-by-step explanation:
because 7.5 x 16 = 120
Need help pleaseee …
Answer:
2.5
Step-by-step explanation:
By Pythagoras theorem,
Hypotenuse = √( 4^2 + 3^2 )
= √( 16 + 9 )
= √25
Hypotenuse = 5
4 / 2 = 5 / x
2 = 5 / x
x = 5 / 2
x = 2.5
3v + 7v + 9v =3 v+7 v+9 v=
Answer:
I cant help you
Step-bBecause i just c
y-step explanation:
{-13,-2,9,20,31,…} which term in this sequence is 306
Given :-
-13,-2,9,20,31 . . . . .To find :-
which term in this sequence is 306 .Solution :-
Common difference ,
d = 31 - 20 d = 11As we know that ,
Tⁿ = a + (n-1)d 306 = -13 + (n-1)11306+13 = (n-1)11319/11 = n-129 = n -1 n = 30Answer:
30th
Step-by-step explanation:
There is a common difference between consecutive terms, that is
- 2 - (- 13) = 9 - (- 2) = 20 - 9 = 31 - 20 = 11
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 13 and d = 11 , then
[tex]a_{n}[/tex] = - 13 + 11(n - 1) = - 13 + 11n - 11 = 11n - 24 ← equate to 306
11n - 24 = 306 ( add 24 to both sides )
11n = 330 ( divide both sides by 11 )
n = 30
The 30th term is 306
pls help i am in k12
What is the slope of Car A’s graph? What does it mean?
(b) What is the slope of Car B’s table? What does it mean?
solve each equation. 6x+2/3-2=4x-4/6
Answer:
6x+2/3-2=4x-4/6
6x-4x = 2-⅔-4/6
2x = 2-(4+4)/6
2x = (12-8)/6
2x = 4/6
12x = 4
x = 4/12
x =⅓
Step-by-step explanation:
brainliest plz
wii mark brainlest answer with explanation
A? It makes the most sense i gues... So sorry if wrong!
how you do the first one
I HOPE IT WILL HELP YOU.
Thank you.
No one answered the palm tree question so I will put this question up for 15 points. Please answer now it’s due!
Answer:
15 feet
Step-by-step explanation:
Answer:
15 feet is the answer ok
Which best describes how the graph of g(x) = square root of 25/9 x relates to the graph of the parent function, f(x) = square root of x?
The graph of g(x) is shrunk vertically by a factor of 5/3.
The graph of g(x) is stretched vertically by a factor of 5/3.
The graph of g(x) is shrunk vertically by a factor of 25/9.
The graph of g(x) is stretched vertically by a factor of 25/9.
Answer:
The graph of g(x) is stretched vertically by a factor of 5/3.
Step-by-step explanation:
f(x) = √x
g(x) = √25/9 x = 5/3 √x
5/3 > 1 .. vertical stretch by a factor of 5/3
An item costs 490before tax, and the sales tax is39.20 .
Find the sales tax rate. Write your answer as a percentage.
Answer:
8% is the sales tax rate
Step-by-step explanation:
I'm not the best with math but the way I found the answer was by first using my local sales tax rate and determining how much the tax would be.
490 * 8.75% = 42.875
Knowing that this amount was higher than in the equation, I lowered the sales tax to 8% (0.08)
490 * 8% = 39.2
Hope this was somewhat helpful
place the boxes in the correct location this Math problem 15 points
Answer:
but where is the question please type your full questions
fourth degree and a single zero of -3
The degree of a polynomial is the highest power of the polynomial.
The polynomial is [tex]\mathbf{P(x) = (x + 3)^4}[/tex]
The degree is given as:
[tex]\mathbf{n = 4}[/tex]
The zero is given as:
[tex]\mathbf{x = -3}[/tex]
Add 3 to both sides
[tex]\mathbf{x + 3= 0}[/tex]
From the question, we understand that the polynomial has a single zero.
So, the polynomial is:
[tex]\mathbf{P(x) = (x + 3)^n}[/tex]
Substitute 4 for n
[tex]\mathbf{P(x) = (x + 3)^4}[/tex]
Hence, the polynomial is [tex]\mathbf{P(x) = (x + 3)^4}[/tex]
Read more about polynomials at:
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PLEASE HELP
WILL MARK BRAINLIEST
(don’t put links or i will report)
What type of correlation is shown within your data? Explain how you know.
Answer:
it looks like a positive correlation?
Step-by-step explanation:
I really don't know much but it looks like the y in increasing in a positive direction when the x is as well
can anyone heelp me pls pls
Answer:
3. Lotion
2. Suspension
1. Capsule
Will give brainliest answer
Answer:
first most option is the answer
Answer:ok A is the correct answer for this test I did this plz trust me give brainpower plz
Step-by-step explanation:
BAKERY Rolls are being prepared to go to grocery stores, Divide 72 rolls
into 2 groups so the ratio is 3 to 5,
Answer:
27:45
Step-by-step explanation:
The ratio is 3:5, so the total is 8. 72/8 is 9. 9*3 is 27, and 9*5 is 45, so the two groups consist of 27 and 45 BAKERY Rolls.
Given the cost function, C(x), and the revenue function, R(x), more than how many units must be produced and sold for the business to make money?
C(x)= 2,000x + 60,000
R(x)= 8,000x
Answer:
x= 10
Step-by-step explanation:
C(x) = 2,000x + 60,000
R(x) = 8,000x
Set the solution to zero.
R(x) - C(x) = 0
8,000x - (2,000x + 60,000) = 0
6,000x - 60,000 = 0
x=10
The formula E =1/2 kx^2gives the potential energy E of a spring with spring constant k that has
been stretched by length x. Solve the formula fork to find the constant of a spring with a iven
potential energy and stretch.
Answer:
[tex]k = 2E/x^2[/tex]Step-by-step explanation:
Given formula:
[tex]E = 1/2kx^2[/tex]To solve for k, multiply both sides by 2 and divide by x²:
[tex]2E=kx^2[/tex][tex]k = 2E/x^2[/tex]Answer:
[tex]\sf\longmapsto \: k = \frac{2E}{x {}^{2} } [/tex]
Step-by-step explanation:
The formula given is :
[tex]\sf\longmapsto \: E = \frac{1}{2} kx²[/tex]
Now, multiply (×) both sides by 2 and divide (÷) by x^2
[tex]\sf\longmapsto \: 2E = kx²[/tex]
[tex]\sf\longmapsto \: k = \frac{2E}{x {}^{2} } [/tex]