If 1/8 cup of popcorn makes 6 quarts, how many quarts will 3/8 cup make?

Answer:

The fourth statement is true

Step-by-step explanation:

the table does not represent all possibilities, because the function is limited to zero tickets

Thus, this statement is false

the carnival never costs least, because the aquarium costs less, and the pool may cost even less if there is a group of 4

Thus, this statement is false

the aquarium not always costs the most, since it cost 14.50$ each ticket, while the wave pool may have tickets 16.75 each

Thus, this statement is false

the aquarium cost may be represented by the equation:

y=14.50x

now, we put in the ordered pair coordinates:

101.5=14.50*7

101.5=101.5

Thus, this statement is true

Answer:

correct 4 edge 2020

(7, 101.5) is an ordered pair used to represent the aquarium cost.

Step-by-step explanation:

Gale wants to compare the cost of the events.

Aquarium: $14.50 each ticket

Carnival: c = 15.5 + 12f

Wave pool: $16.75 each, but $12.25 each for groups larger than 4

Which of the claims Gale makes is true?

The table represents all possibilities.

The carnival always costs the least.

The Aquarium always costs the most.

(7, 101.5) is an ordered pair used to represent the aquarium cost.

Answer:

±3

Step-by-step explanation:

y is directly proportional to the square of x.

[tex]y \propto x^{2}[/tex]

[tex]y = kx^{2}[/tex]

Find the value of k constant when y=32 and x=4.

[tex]32=k(4)^2[/tex]

Square the number 4.

[tex]32=16k[/tex]

Divide both sides with 16.

[tex]32/16=k[/tex]

[tex]k=2[/tex]

The value of k constant is 2.

Find the value of x when y=18

[tex]y=2x^2[/tex]

[tex]18=2x^2[/tex]

[tex]18/2=x^2[/tex]

[tex]9=x^2[/tex]

[tex]x= \± \sqrt{9}[/tex]

[tex]x=\± 3[/tex]

The value of x when y = 18 is ±3.

Answer:

12ab / 4a - 8ab

= 4a(3b)/ 4a(1 - 2b)

= 3b / 1 - 2b

Hope this helps

Answer:

5

Step-by-step explanation:

A pentagon is a polygon that has 5 sides.

Answer:

A pentagon has 5 sides

Step-by-step explanation:

penta, often means 5.

Answer:

y = - 12x - 47

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 12x - 2 ← is in slope- intercept form

with slope m = - 12

Parallel lines have equal slopes, thus

y = - 12x + c ← is the partial equation

To find c substitute (- 4, 1 ) into the partial equation

1 = 48 + c ⇒ c = 1 - 48 = - 47

y = - 12x - 47 ← equation of parallel line

The required equation of the line is y = -12x - 47

"The equation of the line having slope m and passing through points (p, q) is (y - q) = m(x - p)"

"y = mx + c, where m is the slope and c is the Y-intercept of the line."

For given question,

We have been given a point (-4, 1)

The required line is parallel to the line y = -12x - 2

Comparing above equation with slop-intercept form of the line.

m = -12

Let m1 be the slope of the required line.

We know that the slope of parallel lines is equal.

⇒ m1 = m

⇒ m1 = -12

Now we find the equation of the required line by using slope-point form.

Let (p, q) = (-4, 1)

By using slope-point form,

⇒ (y - q) = m1(x - p)

⇒ (y - 1) = -12(x - (-4))

⇒ y - 1 = -12x - 48

⇒ y = -12x - 47

Therefore, the required equation of the line is y = -12x - 47

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Answer:

C, D

Step-by-step explanation:

1/5 is .20 which is 20%

4/20 is equal to 1/5 which is 20%

Hope this helps

Answer:

Its A, b, c, e

Step-by-step explanation:

Answer:

Area = 105 cm^2

Step-by-step explanation:

Area = (9x6) + (6x6) + 0.5(5x6)

= 54+36+15

=105 cm^2

Best Regards!

Hey there! :)

Answer:

125.

Step-by-step explanation:

When g(x) = -1:

g(-1) = 2(-1) + 7

g(-1) = -2 + 7

g(-1) = 5

Plug this into f(x) since the question is asking for f(g(x)):

f(x) = x³

f(5) = 5³

f(5) = 125.

Answer:

-1

Step-by-step explanation:

f(x) = x^3

g(x) = 2x + 7

f(g(x)] =

Let g(x) = -1

Replace g(x) with -1

f(g(x) = f(-1) = (-1)^3 = -1

Answer:

[tex]9[/tex]

Step-by-step explanation:

[tex](-1)^4-(-1)^3+(-1)^2+6[/tex]

[tex]1-(-1)+1+6[/tex]

[tex]1+1+1+6[/tex]

[tex]3+6=9[/tex]

Answer:

Option 2

Step-by-step explanation:

p(t) = [tex]t^4-t^3+t^2+6[/tex]

Putting t = -1

p(-1) = (-1)⁴-(-1)³+(-1)²+6

p(-1) = 1-(-1)+1+6

p(-1) = 1+1+7

p(-1) = 9

Answer:

1.9

Step-by-step explanation:

i just took the quiz

Answer:

35

Step-by-step explanation:

Since we know the amounts of each vitamin per serving all we have to do is find the difference.

We do this by subtracting 90 from 125.

125 - 90 = 35

The solution to the question by reading the graph is:

''When x(Time of parking) is 6 hours, y(Cost of Parking) is 12 hours. ''

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given that;

Mr. chen is parking in a lot downtown. The graph shows a relationship between the time and the total cost of parking.

Now,

the line hits the point (2,6) and x represents the time and y represents the cost and continues to go at a constant rate of,

⇒ 2/6

Hence,  which means that that he pays 6 dollars every 2 hours.

Thus, Option B is true.

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Answer: f(x) = 5(1/5)^x

Step-by-step explanation:

Answer:

Value of stamp collection = (45b + 43) cents

Step-by-step explanation:

What we have here is as follows;

if there are x 3-cent stamps, then there are 4x 10-cent stamps

So the number of 2-cent stamps is 1 less than 3 cent stamps and that will be x-1 2 cent stamps

Number of 2 cents stamps = b

This means that x-1 = b

Thus, x = b + 1

So the value of the stamp collection is as follows;

x 3 cents stamps = 3(b+ 1) = 3b + 3 cents

4x 10 cents stamps = 10(4(b + 1)) = 10(4b + 4) = 40b + 40

value of the 2 cents stamp = 2b cents

Total value is thus;

2b + 40b + 40 + 3b + 3 = (45b + 43) cents

Answer:

45b + 43 cents

Step-by-step explanation:

45b + 43 cents

Answer:

216 cm^2

Step-by-step explanation:

A cube has 6 congruent, square faces.

Each face has side length of 6 cm.

The total surface area is the sum of the surface areas of the 6 faces, but since all faces are congruent, the total surface area is

SA = 6s^2

where s = side length

SA = 6 * (6 cm)^2

SA = 6 * 36 cm^2

SA = 216 cm^2

Answer:

Step-by-step explanation:

If Marios share is 3 parts and is £96, then

Find one part = 96/3 = 32

So,

Rachel receives = 32 x 4 = £128

Sanjay receives = 32 x 9 = £288

Hope this helps

Answer:

6(x +8)

Step-by-step explanation:

Factorising:

6x + 48

Take 6 as common, Therefore:

6(x +8)

Because:

6 * x = 6x

6 * 8 = 48

therefore:

6x + 48 = 6(x + 8)

Hope it helped!!!

Answer:

[tex]a_{n}[/tex] = 1 . [tex]3^{n-1}[/tex]

Step-by-step explanation:

The n th term rule for a geometric sequence is

[tex]a_{n}[/tex] = a [tex]r^{n-1}[/tex]

where a is the first term and r the common ratio

Here a = 1 and r = 3 ÷ 1 = 3 , thus

[tex]a_{n}[/tex] = 1 . [tex]3^{n-1}[/tex]

Answer:

14 weeks and 2 days.

Step-by-step explanation:

Divide 100 days by 7, because there are 7 days in 1 week.

100/7 = 14.2857

0.285714 = 2/7

The answer is 14 weeks and 2 days.

Answer:

there are 100 days

there are 7 days in a week so we divide the days by 7

100days/7days

14.2weeks≈14 weeks are there in 100days

Step-by-step explanation:

i hope this will help you :)

Answer:

43,45

Step-by-step explanation:

43+45=88

Answer:

43 & 45

Step-by-step explanation:

Let the numbers be x, x+2 (because they are consecutive i.e. coming one after another)

Condition:

x + x+2 = 88

2x = 88-2

2x = 86

Dividing both sides by 2

x = 43

Now, the numbers:

x = 43

x+2 = 45

Answer:

[tex]a)365 \\ b)700 \\ c)76.5[/tex]

Step-by-step explanation:

[tex]a)360 + 5 \\ = 365[/tex]

Because each dash represent 10 and it's represent 5 in between of two dashes.

[tex]b)700[/tex]

Because each dash represent 100

[tex]c)76.5[/tex]

Because each dash represent 0.5

The range of f(x) would be -2, -1, .0, 1.

The range of the function is depicted by the points that the blue lines make on the graph. Thus we have the first blue line on point, -2. This gradually progresses to -1 and then 0 and 1 on the y-axis.

The range of a function refers to the values that are covered by the expression and the values, -2, -1, .0, and 1 represent the function. Option B is right.

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Answer:

I'm pretty sure the correct answer is

D. None of the choices are correct

Step-by-step explanation:

The most likely answer would be AHL ~ NKG, it all depends on the order you put it in. However that is not one of the options so the answer is D.

Hope this helps!

- Quinn <3

Answer:

p = 8

Step-by-step explanation:

The n th term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₉ = 4 + 5p and d = 5, then

a₁ + 8d = 4 + 5p, that is

a₁ + 8(5) = 4 + 5p

a₁ + 40 = 4 + 5p ( subtract 40 from both sides )

a₁ = 5p - 36

a₂ = 5p - 36 + 5 = 5p - 31

a₃ = 5p - 31 + 5 = 5p - 26

a₄ = 5p - 26 + 5 = 5p - 21

Given that the sum of the first 4 terms = 7p - 10, then

5p - 36 + 5p - 31 + 5p - 26 + 5p - 21 = 7p - 10, that is

20p - 114 = 7p - 10 ( subtract 7p from both sides )

13p - 114 = - 10 ( add 114 to both sides )

13p = 104 ( divide both sides by 13 )

p = 8

Answer:

+6-6=0

so we need -6 to add in +6 to get 0

Step-by-step explanation:

i hope this will help you

[tex]solution \\ let \: the \: number \: be \: x \\ x + 6 = 0 \\ or \: x = 0 - 6 \\ x = - 6[/tex]

hope this helps...

Good luck on your assignment...

Answer:

X = 15, the missing length (c) is 10

Step-by-step explanation:

Using Pythagorean’s Theorem we know that a^2 + b^2 = c^2

We have side a and b, represent a as 6 and b as 8.

We have 6^2 + 8^2 = c^2

Which equals 100 = c^2

10 = c

Side C is 10, and (x - 5) = 10

X = 15

Please mark BRAINLIEST!

Answer: x ≅ 15.95

Step-by-step explanation:

Use the pythagorean theorem for right triangles x^2 + y^2 = s^2

6^2 = 36

8^2 = 64

(x - 5)^2 requires FOIL. Unfortunately Im going to do this on paper. Its essentially First Outside Inside Last. i got x^2 - 10x + 25

Lets now add 36 and 84 and make it equal to the trinomial we just got.

[tex]120=x^2-10x+25[/tex]

Now lets subtract 120 from both sides to get:

[tex]0=x^2-10x-95[/tex]

You could complete the square, I think. But im going to use the quadratic formula. [tex]\frac{-b +/- \sqrt{b^2-4ac} }{2a}[/tex]Im going to calculate this on paper for simplicity's sake. Im getting an answer of about [tex]\frac{10(+/-)21.909}{2}[/tex]

Solve by adding and then solve by subtracting to get x ≅ 15.95 and x = -5.95. We cant have a negative side length so we can disregard that negative answer.

Answer:

-4

Step-by-step explanation:

Hello,

let say that [tex]x_1[/tex] and [tex]x_2[/tex] are two zeros of second order polynomial

it can be then be written

[tex](x-x_1)(x-x_2)=x^2-(x_1+x_2)x+x_1*x_2[/tex]

So when we check this expression

[tex]x^2+4x+7[/tex]

we can say that the sum of zeros is -4

and the the product of zeros is 7

to note that in this example there are no real root of this equation

[tex]x^2+4x+7=0[/tex]

here, the zeros are complex numbers not real ones

if I have to solve it in [tex]\mathbb{R}[/tex] I would say that there are no zeros so their sum is not defined

if I have to solve it in [tex]\mathbb{C}[/tex] I would say that there are two complex roots and their sum is -4

hope this helps