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4 years ago

A square patio has a perimeter of (32x+8) feet. What is the length of the patio? Thanks!

Mathematics

1 answer:

Flauer [41]4 years ago

6 0

Answer:

The side length is 8x+2 ft

Step-by-step explanation:

The perimeter of a square is found by

P =4s where s is the side length

32x +8 = 4s

Divide each side by 4

32x/4 +8/4 = 4s/4

8x+2 = s

The side length is 8x+2 ft

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Two companies offer Jane a sales position. Company A pays $3,000 per month plus $250 per car sold. Company B pays $2,500 per mon

algol [13]

Answer:

5 cars must be sold for profits to be equal.

Step-by-step explanation:

Two companies offer Jane a sales position. Company A pays $3,000 per month plus $250 per car sold. Company B pays $2,500 per month plus $350 per car sold. Which equation could be used to determine the number of cars sold in a month, x, that would result in the same total income from each company?

Company a profit: 3,000 + 250x

Company b profit: 2,500 + 350x

They ask for x when:

company a profit = company b profit

3,000 + 250x = 2,500 + 350x

subtract 2,500 from both sides:

3,000 + 250x - 2,500 = 2,500 + 350x - 2,500

500 + 250x = 350x

subtract 250x from both sides:

500 + 250x -250x = 350x - 250x

500 = 100x

divide both sides by 100:

500/100 = 100x/100

x = 5

5 cars must be sold

check: when x = 5

3,000 + 250x = 2,500 + 350x

3,000 + 250(5) = 2,500 + 350(5)

3,000 + 1,250 = 2,500 + 1,750

4,250 = 4,250

4 0

1 year ago

The polynomial p(x)=x^5-9x^4+13x^3+57x^2-86x-120 has how many zeros

natita [175]

It has a total of 5 zeros

8 0

4 years ago

Read 2 more answers

Evaluate f(x)=0.5^-2

Ganezh [65]

Answer:

f=1/25x

f=4/5f (simplified)

x=1/25f

x=4/5x (simplified)

Step-by-step explanation:

To solve for f.

fx=5−2

Step 1: Divide both sides by x.

fx/x=1/25/x

f=1/25x

To solve for x

fx=5−2

Step 1: Divide both sides by f.

fx/f=1/25/f

x=1/25f

7 0

3 years ago

(x^2+xy-3y^2) - (4x^2-xy+y^2)

olga nikolaevna [1]

Answer:

-3x^2+2xy-4y^2

Step-by-step explanation:

(x^2+xy-3y^2)-(4x^2-xy+y^2)

x^2-4x^2+xy-(-xy)-3y^2-y^2

-3x^2+xy+xy-4y^2

-3x^2+2xy-4y^2

4 0

3 years ago

If points A and B are randomly placed on the circumference of a circle with a radius of 2 cm, what is the probability that the l

OLga [1]

Answer:

The probability that the length of chord AB > 2 cm is 2/3 ⇒ D

Step-by-step explanation:

* Lets explain how to solve the problem

- Points A and B are randomly placed on the circumference of a

circle with a radius of 2 cm

- We need to find the probability that the length of chord AB is

greater than 2 cm

- Probability = required length of arc / circumference

- Assume that the length of the chord AB is 2 and the center of

the circle is labeled M

- The radius of the circle is 2 and AB = 2

- In Δ AMB

∵ MA= MB = 2 radii

∵ AB = 2

∴ Δ AMB is an equilateral triangle

∴ m∠AMB = π/3

∵ The length of an arc = r Ф , where r is the radius of the circle and

Ф is the central angle subtended by this arc

∵ r = 2 , Ф = π/3

∴ The length of arc AB = 2 × π/3 = 2π/3

- The arc AB is in the half of the circle then there are another arc

with the same length in the other half of the circle

- The length of the arc we must excluded from the length of the

circle to have the part of length of AB is greater than 2 is

2(2π/3) = 4π/3

∴ The length of the excluded arc is 4π/3

∵ The length of the circle is 2πr

∵ r = 2

∴ The length of the circle = 2π(2) = 4π

- The required arc = length circle - length excluded arc

∵ The length of the excluded arc = 4π/3

∵ The length of the circle = 4π

∴ The required arc = 4π - 4π/3 = 8π/3

- Probability = required length of arc / circumference

∴ Probability = (8π/3)/(4π) = 2/3

∴ The probability that the length of chord AB > 2 cm is 2/3

4 0

3 years ago