Emilia went out to eat dinner, and the meal cost $20.00. If Emilia received a 30% discount, what was the total value of the discount?

Answer:

p = 304

Step-by-step explanation:

Given p is inversely proportional to q² then the equation relating them is

p = [tex]\frac{k}{q^2}[/tex] ← k is the constant of proportion

To find k use the condition p = 19 when q is 8, then

19 = [tex]\frac{k}{8^2}[/tex] = [tex]\frac{k}{64}[/tex] ( multiply both sides by 64 )

k = 1216

p = [tex]\frac{1216}{q^2}[/tex] ← equation of proportion

When q = 2, then

p = [tex]\frac{1216}{2^2}[/tex] = [tex]\frac{1216}{4}[/tex] = 304

The value of p is equal to 304 when q is equal to 2

Given :

If p is inversely proportional to the square of q

when y is inversely proportional to x then [tex]y=\frac{k}{x}[/tex]

given that p is inversely proportional to the square of q. the equation becomes

[tex]p=\frac{k}{q^2}[/tex]

when p is 19 the value of q is 8

Replace the values and find out k

[tex]p=\frac{k}{q^2}\\19=\frac{k}{8^2}\\19=\frac{k}{64}\\[/tex]

Multiply both sides by 64

k=1216

Now we find out p when q is 2

Replace k value and q value to find out p

[tex]p=\frac{k}{q^2} \\\\p=\frac{1216}{2^2} \\p=304[/tex]

The value of p is equal to 304 when q is equal to 2

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Answer:

The value of x is 12.

Step-by-step explanation:

Given that x is directly proportional to y so the expression will be x = k (³√y) where k is the constant. First, you have to find the value of k :

[tex]x = k \: (\sqrt[3]{y} )[/tex]

[tex]let \: x = 6,y = 8[/tex]

[tex]6 = k \: (\sqrt[3]{8} )[/tex]

[tex]6 = k(2)[/tex]

[tex]k = 3[/tex]

Next, you have to find the value of x, by substituting y = 64 into the expression :

[tex]x = 3 \: ( \sqrt[3]{y} )[/tex]

[tex]x = 3( \sqrt[3]{64} )[/tex]

[tex]x = 3(4)[/tex]

[tex]x = 12[/tex]

Answer:

y = -1

Step-by-step explanation:

It´s an equilateral triangle

then:

2y + 6 = 4

2y = 4 - 6

2y = -2

y = -2/2

y = -1

Check:

2*-1  + 6 = 4

-2 + 6 = 4

Answer:

The value of y = 11/2

Step-by-step explanation:

As the work is completed up to the point

[tex]\frac{11}{5}=\frac{2}{5}y[/tex]

Now completing the remaining work

[tex]\frac{11}{5}=\frac{2}{5}y[/tex]

Dividing both sides by 2/5

[tex]\frac{11}{5}\div \frac{2}{5}=\frac{2}{5}y\div \frac{2}{5}[/tex]

[tex]\frac{2}{5}\cdot \frac{5y}{2}=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex]            ∵ [tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{\frac{b}{c}}=\frac{a\cdot \:c}{b}[/tex]

[tex]\frac{2y\cdot \:5}{5\cdot \:2}=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex]              ∵ [tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]

[tex]\frac{y\cdot \:5}{5}=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex]                ∵ [tex]\mathrm{Cancel\:the\:common\:factor:}\:2[/tex]

[tex]y=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex]                   ∵ [tex]\mathrm{Cancel\:the\:common\:factor:}\:5[/tex]

[tex]y=\frac{11\cdot \:5}{5\cdot \:2}[/tex]                 ∵  [tex]\mathrm{Divide\:fractions}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}[/tex]            

[tex]y=\frac{11}{2}[/tex]                    ∵ [tex]\mathrm{Cancel\:the\:common\:factor:}\:5[/tex]

Therefore, the value of y = 11/2

Answer:

107.6

Step-by-step explanation:

5.38 is how much is made in half an hour so I multiplied that by 2 to get the complete hour then multiplied that by 8

Answer: I am pretty sure it’s 87.08

Step-by-step explanation:

Answer:

Jupiter's orbit is 5 times longer than earths

Step-by-step explanation:

Answer:

-5

Step-by-step explanation: Yeah i think its -5

Answer:

8%

Step-by-step explanation:

2/25*100

=8%

Answer:

brianna is correct

Step-by-step explanation:

Answer:

Brianna is correct for Card number 2.

Step-by-step explanation:

Answer:

thr answer is 6(2n-3) this is rhe answer

Answer:

I would but I suck at math.

Step-by-step explanation:

I'll help you out with the giver later. lol

Answer:

Graph x

Step-by-step explanation:

y−60=1(x−20)  ,

y−40=x  ,

y−50=1(x−10)  ,

y−45=1(x−5)  ,

or

y−55=1(x−15)

Step-by-step explanation: I have no idea

The equation for the graph written in point - slope form may be expressed thus y-60 = 1(x - 20)

The general form of a point - slope expression is :

Taking the pair of points (20, 60) :

Slope = Rise / Run

Slope = 20/20 = 1

Hence, the equation can be expressed thus by substituting the x1 and y1 values into the expression :

Therefore, the point - slope expression for the graph is y-60 = 1(x - 20).

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Answer:

(2,-3)

Step-by-step explanation:

When they intersect it called a solution

Hope its right

Answer:

sure

Step-by-step explanation:

Answer:

ok what here are u meant to do

Answer:

6+y

Step-by-step explanation:

6+y is the ans as the question has asked to sum of them but it has not given any other clues

Answer:

i got 6y

Step-by-step explanation:

7:  8+（-4）=-2

8:  -7+2=-5

9:  -11-7=-18

10:  12÷（-6）=-2

11:   -9×（-3）=27

12:  4-（-3）=7

13:  -45÷9=-5

14:   6×（-3）=-18

Answer:

y = 0.75x

Step-by-step explanation:

Im not sure lmk

Step 1:

The variable is the number of weeks needed to equalize Alexa and her sisters savings.

Step 2:

7x + 60 = 5x + 120

Step 3:

7x+60=5x+120

Subtract 60 from both sides.

7x+(60-60)=5x+(120-60)

7x=5x+60

Subtract 5x from both sides

7x-5x=5x+60-5x

2x=60

Divide both sides by 2.

2x/2 = 60/2

x=30

Step 4:

7(30) + 60 = 5(30)+ 120

210+60=150+120

270 = 270

Step 5:

To find the unknown amount of weeks, you need to rewrite the equation isolate x on the left-hand side of the equation. I just subtracting/simplified the equation until I could solve it.

(tbh got stuck on this one)

Answer:

(x+3)⋅(x−1)⋅(x−4)

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

The formula of a midpoint of the segment AB:

[tex]M_{AB}\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right)[/tex]

We have A(7, -2) and B(1, -10). Substitute:

[tex]M_{AB}\left(\dfrac{7+1}{2};\ \dfrac{-2+(-10)}{2}\right)\\\\M_{AB}\left(\dfrac{8}{2};\ \dfrac{-12}{2}\right)\\\\M_{AB}(4;\ -6)[/tex]

Answer:

o

Step-by-step explanation:

Answer:

59.3sq ft

Step-by-step explanation:

Answer:

x=50

Step-by-step explanation

The two angles add up to 180, so 2x+4+76 = 180

2x+80=180

2x=100

x=50

Answer:

20.8

Step-by-step explanation:

9514 1404 393

Answer:

  B)  The incenter is equidistant from all three sides of the triangle.

Step-by-step explanation:

The incenter is the center of the inscribed circle, which is tangent to all three sides. Hence, the distance from the incenter to each side is the radius of the circle. The incenter is equidistant from the sides of the triangle.

Answer:

We know that C(T) is a function where you input the time T, and the output will be the student's Monday class.

a) A student has English at 10:00.

Here we can use T = 10:00 as the input, and the output will be the class, English.

Then this can represent this with:

C(10:00) = English.

b) Write a statement to describe the meaning of C(11:15) = chemistry.

for C(11:15) = Chemistry

The input, the time, is 11:15

The output, the class, is chemistry.

The student has a chemistry class at 11:15

Answer:

she would read 20 pages in 1 whole hour