Complete the table using equivalent ratios.
21:6
7:__
__:4

Answer:

No solutions.

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

-2(4 - 3x) - 6x = 10

Step 2: Solve for x

Here we see that -8 does not equal 10.

∴ This equation has no solutions.

Answer:

The volume of the open box is [tex]V = 108\cdot x -42\cdot x^{2}+4\cdot x^{3}\,\,\,[in^{3}][/tex].

Step-by-step explanation:

Geometrically speaking, the volume of the open box ([tex]V[/tex]), measured in cubic inches, is described by the volume of a right parellelepiped. That is:

[tex]V = w\cdot l \cdot h[/tex] (1)

Where [tex]w[/tex], [tex]l[/tex] and [tex]h[/tex] are the width, length and height of the open box, respectively, measured in inches. Please notice that width of the open box is the width of the piece of cardboard ([tex]w'[/tex]), measured in inches, minus two times the side of the cut squares ([tex]x[/tex]), measured in inches, length of the open box is the length of the piece of cardboard ([tex]l'[/tex]), measured in inches, minus two times the side of the cut squares and the height of the open box is the side of the cut squares. That is:

[tex]w = w' -2\cdot x[/tex] (2)

[tex]l = l' - 2\cdot x[/tex] (3)

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

By applying (2), (3), (4) in (1), we expand and simplify the volume function:

[tex]V = (w'-2\cdot x)\cdot (l'-2\cdot x)\cdot x[/tex] (5)

If we know that [tex]w' = 9\,in[/tex] and [tex]l' = 12\,in[/tex], then the equation above is:

[tex]V = (9-2\cdot x)\cdot (12-2\cdot x)\cdot x\,\,\,[in^{3}][/tex]

[tex]V = (108-24\cdot x-18\cdot x+4\cdot x^{2})\cdot x\,\,\,[in^{3}][/tex]

[tex]V = (108-42\cdot x +4\cdot x^{2})\cdot x \,\,\,[in^{3}][/tex]

[tex]V = 108\cdot x -42\cdot x^{2}+4\cdot x^{3}\,\,\,[in^{3}][/tex]

The volume of the open box is [tex]V = 108\cdot x -42\cdot x^{2}+4\cdot x^{3}\,\,\,[in^{3}][/tex].

Answer:

La probabilidad de que una mujer sea administradora es de 0,35

Step-by-step explanation:

Sean A B, C y D los eventos de las mujeres administrativas, comerciantes, trabajadoras de salud y proveedoras de servicios municipales.

Sus probabilidades están dadas por

P (a) = 35% = 0,35

P (b) = 25% = 0,25

P (c) = 20% = 0,2

P (d) = 15% = 0,15

Como los eventos son independientes, la probabilidad conjunta sería

P (B∩C∩D) = P (D) * P (B) * P (C) = 0.25 * 0.2 * 0.15 = 0.0075

P (A / B∩C∩D) = P (A∩B∩C∩D) / P (B∩C∩D)

                        = 0,35 * 0,0075 / 0,0075 = 0,35

Por lo tanto, la probabilidad condicional de obtener la mujer administradora es la misma que la probabilidad individual de obtener la administradora, ya que los eventos son independientes.

La probabilidad de que una mujer sea administradora es de 0,35

English

Let A B, C and D be the events of the women administrative, merchants, health workers and municipal services providers.

Their probabilities are given by

P (a) = 35% = 0.35

P (b)= 25% = 0.25

P (c) =20% = 0.2

P (d) = 15 % = 0.15

As the events are independent then the joint probability would be

P (B∩C∩D)= P(D) * P(B)* P (C) = 0.25* 0.2*0.15= 0.0075

P(A/B∩C∩D) = P(A∩B∩C∩D)/P(B∩C∩D)

                        = 0.35*0.0075/ 0.0075= 0.35

Therefore the conditional probability of getting the administrator woman is the same as the individual probability of getting the woman administrator  as the events are independent.

Probability of woman administrator is 0.35

Answer:

320

Step-by-step explanation:

joe has 80 three times eighty is 240 so they have 240+80=320 so they have 320 games in total

Answer:

[tex]t = 2.57[/tex]

Step-by-step explanation:

Given

[tex]h=-16t^2+12t+75[/tex]

Required

Determine the time to hit the ground

The ground is at point 0.

So, to solve this; we simply set [tex]h =0[/tex], then calculate the value of t

[tex]0=-16t^2+12t+75[/tex]

Multiply through by -1

[tex]0=16t^2-12t-75[/tex]

Reorder

[tex]16t^2-12t-75 = 0[/tex]

Solve using quadratic formula:

[tex]t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]

Where

[tex]a = 16; b = -12; c = -75[/tex]

[tex]t = \frac{-(-12)\±\sqrt{(-12)^2 - 4*16*(-75)}}{2*16}[/tex]

[tex]t = \frac{12\±\sqrt{144 +4800}}{32}[/tex]

[tex]t = \frac{12\±\sqrt{4944}}{32}[/tex]

[tex]t = \frac{12\±70.31}{32}[/tex]

Split:

[tex]t = \frac{12+70.31}{32}[/tex] or [tex]t = \frac{12-70.31}{32}[/tex]

[tex]t = \frac{82.31}{32}[/tex] or [tex]t = \frac{-58.31}{32}[/tex]

But time (t) can't be negative;

So, we make use of only

[tex]t = \frac{82.31}{32}[/tex]

[tex]t = 2.57[/tex]

Hence, the time to hit the ground is 2.57 seconds

Answer:

it would be 150 boys and 240 girls

Step-by-step explanation:

Answer:

Depends on your GPA

Step-by-step explanation:

it's tooo easy

answer -1296

Answer:

<< >> >=>= =>=< >><< ><<< >>==

Step-by-step explanation:

Answer:

>,>,>,>

>,>,>,<

<,>,<,>

>,<,<,<

=,=,=,<

Answer:

no

Step-by-step explanation:

Hi

2 610  /  290  000  *100 = 0.9 %

Less than 1%

The tax rate if the house was valued at $290,000 was Less than 1%.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that property taxes on a house were $2610.

We need to find the tax rate if the house was valued at $290,000.

Therefore,

2610  /  290 000  x 100 = 0.9 %

Hence, the tax rate if the house was valued at $290,000 was Less than 1%.

Learn more about multiplications;

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Answer:

Length of one side of the container = 5 feet

Step-by-step explanation:

Given:

V = s³

Where,

V = volume of the container

s = side length of the container

V = 125 cubic feet

Find s?

V = s³

125 = s³

Find the cube root of both sides

3√125 = 3√s³

5 = s

s = 5 feet

Length of one side of the container = 5 feet

Answer:

Step-by-step explanation:

Part 1:y=426x+4298

        y=223x+6129

Part 2: x=9.020 (x is the number of months and y is the miles)

Part 3: y=8140.394, or 8,140 since it's rounding to the nearest mile

Answer:

See answers in explanation below

Step-by-step explanation:

1.   4298 + 426t = 6129 + 223t

2. Basically get into the graphing page and find "function" section then select "f(x) = mx + b", then graph f(x) = 426x + 4298 and f(x) = 223x + 6129

and find the answer at where these two lines intersect with each other, x=9.0197 (months)

3. sub x=9.0197 into any of the two equation and f(x) = 8140 (miles)

Answer:

1,050 feet

Step-by-step explanation:

All you have to do is take the total height 1,454 and subtract the distance from the top to the 86th floor. 1,454-404 which gives you 1,050.

Answer:

sure

Step-by-step explanation:

Step-by-step explanation:

a) The graph shows how many adults and youths attended the movies on Friday, Saturday and Sunday.

b) On Friday, more adults attended the movies then youths.  On Saturday and Sunday, more youths attended the movies then Adults.

c) 1) Saturday is the most popular day to go to the movies because there was 500 adults and 650 youths for a total of 1150 people.  Friday had 950 people and Sunday had 800 people.

Answer:

150

Step-by-step explanation:

go submit it

Answer:

Divisor:D

Divedend: A

Quotient:C

Step-by-step explanation:

The divisor = (x+3), the dividend = (2x³+11x²+18x+9) and the quotient = (2x²+5x+3)

Synthetic division is a method for manually performing Euclidean division of polynomials.

Given that polynomial divisor, dividend and quotient ;

The correct divisor, dividend and quotient are (x+3), (2x³+11x²+18x+9) and (2x²+5x+3) respectively

Hence, The divisor = (x+3), the dividend = (2x³+11x²+18x+9) and the quotient = (2x²+5x+3)

For more references on Synthetic division, click;

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Answer:

1. 3x+4y=30

2. 30x+40y=300

3. x+4/3y=10

Step-by-step explanation:

Answer:

landing on a 4 would be 1/3 chance

and

landing on a number less than 4 would be 2/3 chance

Step-by-step explanation:

The probability of landing on a 4 is 1/3 and then landing on a number less than 4 is 2/3.

Probability is the chance of happening an event or incident.

The probability of landing on a 4 is 1/3.

Then, the probability on landing on a number less than 4 = 2/3.

Learn more about probability here: https://brainly.com/question/11234923

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Answer:

12/5

Step-by-step explanation:

5/2 = 6/x

in order to solve for x, you can do cross multiplication hence,

5x = 6(2)

x = 12/5

Answer:

12/5

Step-by-step explanation:

5/2=6/x

5x=12

X=12/5.

So the answer is 12/5

Answer:

point form: (-2,5)

Step-by-step explanation:

8x + 5y = 9

y = x + 7

sub. y into the first one

8x + 5(x + 7) = 9

8x + 5x + 35 = 9

13x + 35 = 9

solve for x

13x = -26

x = -2

solve for y

y = x + 7

y = -2 + 7

y = 5

Answer: I believe the answer would be (-2, 5) Hope this helped!

Answer:

27 + 6x = 8.25x

Number of movies (x) = 12

Step-by-step explanation:

Given that:

VIP membership :

Membership fee = $27 per year

Amount per movie = $6

Hence ;

Membership fee + (amount per movie * number of movies)

27 + 6x - - - (1)

Non member :

Amount paid per movie = $8.25

amount per movie * number of movies)

8.25x - - (2)

Let Numbe of movies = x

In other to pay the same amount of money :

Equate (1) and (2)

Equation :

27 + 6x = 8.25x

8.25x - 6x = 27

2.25x = 27

X = 12 movies

Answer:

what is it?

Step-by-step explanation:

Answer:

36 miles per hour

Step-by-step explanation:

36 miles per hour

Answer:

Simplify the expression.

25

x

+

2

Step-by-step explanation:

Answer:

(7x-3)(x+4)

Step-by-step explanation:

hope this helps:)