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2 years ago

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If you can’t see what it says this is what it says “ Jackson purchased a pack of game cards that was on sale for 22% off. The sa

les tax in his county Is 6%. Let Y represent the original price of the cards. Write an expression that can be used to determine the final cost of the cards.

1 answer:

OleMash [197]2 years ago

3 0

Answer:

The final cost of the game card pack is 82.68% of the original sale price.

Step-by-step explanation:

Given that Jackson purchased a pack of game cards that was on sale for 22% off, and the sales tax in his county is 6%, to determine an expression that can be used to determine the final cost of the cards, the following calculation must be done:

Y = 100

100 - 22 = 78

100 = 78

106 = X

106 x 78/100 = X

8268/100 = X

82.68 = X

Therefore, the final cost of the game card pack is 82.68% of the original sale price.

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The heights of 200 adults were recorded and divided into two categories

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Answer:

total men 98 so if theres 200 subtract 98 from 200

=102 girls

Step-by-step explanation:

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Use the drawing tool(s) to form the correct answers on the provided number line. plot the value(s) on the number line where this

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Plot a parabola that cuts the x-axis cut at x = -5 and 1, and a turning point at y = -5.

<h3>What is a parabola?</h3>

A parabola is a planar curve that is mirror-symmetrical and roughly U-shaped in mathematics.
It fits various seemingly disparate mathematical descriptions, all of which can be shown to define the same curves.
A point and a line are two ways to describe a parabola.

To plot the value(s) on the number line where the given function is equal to zero:

The equation is written as: y = (x+5)(x-1)

This is further written as:

(x+5)(x-1) = 0 and x+5 = 0
x- 1 = 0
Giving x = -5 and x = 1.

The highest point occurs when x = 0, which is (5)(-1) = -5

Therefore, plot a parabola that cuts the x-axis cut at x = -5 and 1, and a turning point at y = -5.

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The correct question is given below:

Use the drawing tool(s) to form the correct answers on the provided number line. plot the value(s) on the number line where this function is equal to zero: f(x) = (x + 5)(x − 1).

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1 year ago

NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t)=-4.9t2+64t+

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Using the vertex of the quadratic equation, it is found that:

The rocket will reach its peak height of 345 meters above sea level at 6.53 seconds.

<h3>What is the vertex of a quadratic equation?</h3>

A quadratic equation is modeled by:

$y = ax^2 + bx + c$

The vertex is given by:

$(x_v, y_v)$

In which:

$x_v = -\frac{b}{2a}$

$y_v = -\frac{b^2 - 4ac}{4a}$

Considering the coefficient a, we have that:

If a < 0, the vertex is a maximum point.

If a > 0, the vertex is a minimum point.

In this problem, the equation is given by:

h(t) = -4.9t² + 64t + 136.

The coefficients are a = -4.9 < 0, b = 64, c = 136, hence the instant of the maximum height is given by, in seconds:

$t_v = -\frac{64}{2(-4.9)} = 6.53$

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2 years ago

Use the formula L= 10 log 10 R, where Is the loudness of a sound and R is the sound's relative intensity. to find out how much l

WINSTONCH [101]

Answer:

$X=24.1decibels$

Step-by-step explanation:

From the question we are told that:

Loudness function $L= 10 log_{10} R$

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Number of persons talking $n=20 people$

Generally the Relative intensity for 20 people is mathematically given by

Relative intensity for $R_{20}=$ $20*10^8$

Relative intensity for $R_{20}=$ $20^8$

Generally the loudness for 20 people is mathematically given by

$L_{20}= 10 log_{10} R$

$L_{20}= 10 log_{10} 20^8$

$L_{20}= 10 (8 log_{10} 20)$

$L_{20}= 104.1 decibels$

Therefore increase in loudness X is given as

$X=104.1-80=-52.90$

$X=24.1decibels$

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3 years ago

The weight Wkg of a metal bar varies jointly

maria [59]

Answer:

d = $\sqrt{\frac{216W}{35L} }$

Step-by-step explanation:

Given that W varies jointly as L and d² then the equation relating them is

W = kLd² ← k is the constant of variation

To find k use the condition W = 140 when d = 4 and L = 54, thus

140 = k × 54 × 4² = 864k ( divide both sides by 864 )

$\frac{140}{864}$ = k , that is

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Multiply both sides by 216

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$\frac{216W}{35L}$ = d² ( take the square root of both sides )

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2 years ago