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Scrat [10]
3 years ago
9

If perimeter rectangular is 204 feet the width 45 feet what’s the length of the yard

Mathematics
2 answers:
Minchanka [31]3 years ago
5 0
The length of the yard is 159 ft.
Triss [41]3 years ago
5 0
57 ft I hope this helps you
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25 - 7 + r<br> Solve the equation.
otez555 [7]

Answer:

25-7-r

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3 years ago
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Given 4x²=(3y-5z÷4)² ,find<br>x if y=x-2 and z=2y<br><br>​
rjkz [21]

Answer:

x = 2/5 or x = -2/3

Step-by-step explanation:

y = x - 2

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

4x² = (3y - 5z ÷ 4)²

Substitute y with x - 2. Substitute z with 2x - 4.

4x² = [3(x - 2) - 5(2x - 4) ÷ 4]²

16 * 4x² = [3(x - 2) * 4 - 5(2x - 4) ÷ 4 * 4]²

64x² = [12(x - 2) - 5(2x - 4)]²

64x² = (12x - 24 - 10x + 20)²

64x² = (2x - 4)²

64x² = 4x² - 16x + 16

60x² + 16x - 16 = 0

15x² + 4x - 4 = 0

ac = 15 * (-4) = -60

-6 * 10 = -60

-6 + 10 = 4

15x² - 6x + 10x - 4 = 0

(15x² - 6x) + (10x - 4) = 0

3x(5x - 2) + 2(5x - 2) = 0

(5x - 2)(3x + 2) = 0

5x - 2 = 0 or 3x + 2 = 0

5x = 2 or 3x = -2

x = 2/5 or x = -2/3

3 0
2 years ago
X + y = -3<br> y= 2<br><br> Solve
zzz [600]

Answer:

x=-5

Step-by-step explanation:

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im in algebra two so you can trust my answer. happy holidays and stay safe!

4 0
3 years ago
Read 2 more answers
Please answer this question​
xz_007 [3.2K]

Let p(t) be the number attendees and t be the ticket price measured in units of 10s of rupees. When the price is t = 7 (i.e. Rs70), there were p(7) = 300 people in attendance.

For each unit increase in t (i.e. for each Rs10 increase in price), p(t) is expected to fall by 20, so that

p(t + 1) = p(t) - 20

Solve for p(t). Suppose t ≥ 7. By substitution,

p(t + 1) = (p(t - 1) - 20) - 20 = p(t - 1) - 2×20

p(t + 1) = (p(t - 2) - 20) - 2×20 = p(t - 2) - 3×20

p(t + 1) = (p(t - 3) - 20) - 3×20 = p(t - 3) - 4×20

and so on, down to

p(t + 1) = p(7) - (t - 6)×20 = 420 - 20t

or

p(t) = 420 - 20 (t - 1) = 440 - 20t

With t = price per ticket (Rs/ticket) and p(t) = number of attendees = number of tickets sold, it follows that the income made from ticket sales for some fixed ticket price t would be t×p(t). If one plots p(t) in the coordinate plane, the price that maximizes income and number of attendees is such that the area of a rectangle inscribed by the line p(t) and the coordinate axes is maximized.

Let A(t) be the area of this rectangle, so

A(t) = t p(t) = 440t - 20t²

Without using calculus, complete the square:

A(t) = 440t - 20t² = 2420 - 20 (t - 11)²

This is the equation of a parabola with vertex at (11, 2420), so the optiml ticket price is Rs11, and at this price the drama club can expect an income of Rs2420.

With calculus, differentiate A with respect to t and find the critical points:

A'(t) = 440 - 40t = 0   ⇒   11 - t = 0   ⇒   t = 11

Differentiate A again and check the sign of the second derivative at this critical point:

A''(t) = -40   ⇒   A''(11) = -40 < 0

which indicates a local maximum at t = 11 of A(11) = 2420.

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2 years ago
What does it mean to distribute?<br> Please answer as fast as possible
kondor19780726 [428]

Answer:

A term is made up of variable(s) and/or number(s) joined by multiplication and/or division.

Step-by-step explanation:

When you distribute something, you are dividing it into parts. In math, the distributive property helps simplify difficult problems because it breaks down expressions into the sum or difference of two numbers.

6 0
3 years ago
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