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3 years ago

12

Before a sale, an item’s price was $28.00. After the sale discount the price became $21.00. What was the percent of the sale dis

count?

1 answer:

NARA [144]3 years ago

4 0

The discount was 25% off use 21/28 which is 75 percent of what it was before. 25 percent off.

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What is the sum? 3k/k^2+k-7/4K

Aleksandr-060686 [28]

Answer:

$\dfrac{k^2+5k}{4k^2}$

Step-by-step explanation:

A suitable common denominator is 4k^2. (This eliminates the first and last choices.)

$\dfrac{3k}{k^2}+\dfrac{k-7}{4k}=\dfrac{4(3k)}{4(k^2)}+\dfrac{k(k-7)}{k(4k)}\\\\=\dfrac{12k+k^2-7k}{4k^2}=\boxed{\dfrac{k^2+5k}{4k^2}}$

3 0

3 years ago

A Ferris wheel has a diameter of 380 feet and the center of the wheel is 195 feet above the ground. The wheel makes a complete t

Aleksandr [31]

Answer:

<u><em>y = -190 cos(π t / 120) + 195</em></u>

Step-by-step explanation:

<em>General form of a sinusoidal function: y = A cos(Bt - C) + D </em>

<em> </em>

<em>Now generally a cosine function starts at the maximum value, so to start at the minimum value, flip the cosine function by making it negative. </em>

<em> </em>

<em>A is the amplitude of the curve and will be the radius of the ferris wheel. Therefore, A = 380 / 2 = 190 feet. </em>

<em> </em>

<em> 2π / B is the period of the curve and will be the time to complete one full rotation. The time to complete one full rotation is given as 4 minutes. Convert this into seconds to get period = 4 minutes * (60 seconds / minute) = 240 seconds. Therefore, B = 2π / period = 2π / 240 seconds = π / 120. </em>

<em> </em>

<em> C/B is the phase shift, or horizontal shift of the graph. Since the negative cosine function already starts at the minimum value, there is no phase shift so C/B = 0, meaning C = 0. </em>

<em> </em>

<em> D is the vertical shift and will be the height of the center of the ferris wheel. Therefore, D = 195 feet. </em>

<em> </em>

<em> Your final function will be:</em>

<u><em>y = -190 cos(π t / 120) + 195</em></u>

7 0

3 years ago

Write an equation in slope-intercept form of the line having the given slope and y-intercept.

pychu [463]

Answer:

The answer to your question is y = 4/6x - 4

Step-by-step explanation:

Data

m = 4/6

P (0, -4)

slope-intercept form = ? y = mx + b where m is the slope and

b is the y-intercept

Formula

y - y1 = m(x - x1)

Substitution

y - (-4) = 4/6(x - 0)

Simplification

y + 4 = 4/6x

Result

y = 4/6x - 4

slope = 4/6 y-intercept = -4

7 0

3 years ago

What is the value of x?

Serjik [45]

Answer:

x = 32

Step-by-step explanation:

Each angle of the equilateral triangle is 60°.

(2x -4)° = 60°

x -2 = 30 . . . . . . divide by 2°

x = 32

__

5y° = 60°

y = 12 . . . . . . . . . divide by 5°

7 0

3 years ago

Imeldas jigsaw puzzle has 500 pieces. She estimates that she put togethe approximately 95 of the pieces.

tekilochka [14]

Answer:

19% done

81% left

Step-by-step explanation:

95/500=19

100-19=81

7 0

3 years ago