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netineya [11]
3 years ago
10

4. Divide z(5z2 - 80) by 5z (z+4)​

Mathematics
1 answer:
insens350 [35]3 years ago
5 0

Answer:

z-4

Step-by-step explanation:

z(5z²-80) ÷ 5z(z+4) = z-4

Step-by-step explanation:

Given: z(5z²-80) ÷ 5z(z+4)

Calculation:

First we factor numerator z(5z²-80)

Take out 5 from 5z²-80 and we get 5z(z²-16)

Now we factor 16 = 4²

5z(z²-4²)

Using formula, (a²- b²)=(a+b)(a-b)

5z(z²- 4²)⇒5z(z+4)(z-4)

Simplified fraction

5z(z+4)(z-4) ÷ 5z(z+4)

Cancel like factor from numerator and denominator

⇒ z-4

Thus, z(5z²-80) ÷ 5z(z+4) = z-4

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Area of the walkway border is 736 ft²

Step-by-step explanation:

A rectangle is a quadrilateral (has four sides and four angles) with two pairs of opposite and parallel sides. All angles in a rectangle are 90 degrees each. Also, opposite sides are equal.

The entire pool area has a length of 60 feet and width of 40 feet. The area of the entire pool area is:

Area of entire pool = length * width = 60 feet * 40 feet = 2400 ft²

The area of entire pool

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Therefore length of pool = length of entire pool area - 4 feet border at left - 4 feet border at right  = 60 ft - 4 ft - 4 ft = 52 ft

width of pool = width of entire pool area - 4 feet border at top - 4 feet border at bottom  = 40 ft - 4 ft - 4 ft = 32 ft

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8 0
3 years ago
Last spring, the drama department at Manchester High School had 12 students audition for the musical. This spring, there were 15
tamaranim1 [39]

Answer:

25%

Step-by-step explanation:

The percent of increase can be calculated using following formula:

\text{Percent Increase}=\dfrac{\text{Final Amount-Initial Amount}}{\text{Initial Amount}}\cdot 100\%.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

I used the Trial and Error Method and found that x = 7 and y = 3

=> 7 + 3 = 10

=> 10 = 10. ✔

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=> 4 = 4. ✔

Therefore, x = 7 and y = 3

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