1. Water is filling a bathtub at a rate of 7 gallons per minute. Complete the table of equivalent
ratios for the first 5 minutes of the bathtub filling up.

You could do this with two weighings assuming its a two pan balance - (1) place three balls on each side - if they balance out then its the remaining three that has abnormal ball (2) out of that group, place one ball on each side - if balances it out, the abnormal ball is the remaining one.

If the weighing in step (1) does not balance out, grab the group of three balls that is light or heavy and repeat step (2) described above.

Answer:

28

Step-by-step explanation:

If a ribbon connects two skydivers, and there are 8 skydivers total, then we can do 8C2, which is equal to (8*7)/2, which is equal to 28. An alternate solution is to think of it this way. Skydiver 1 is connected to everyone else, which is 7 other people. Skydiver 2 is connected to everyone else but Skydiver 1, which is 6 other people. This goes on until Skydiver 8 is already connected with everyone. So we have 7+6+5+4+3+2+1+0, which is also equal to 28.

The total number of pieces of ribbons that were used in the skydiving act is 28 ribbons

What are Combinations?

The number of ways of selecting r objects from n unlike objects is:

The equation for combination is

ⁿCₓ = n! / ( ( n - x )! x! )

where

n = total number of objects

x = number of choosing objects from the set

Given data ,

The total number of skydivers in the plane n = 8 skydivers

Each  skydiver was connected to each of the other skydivers with a separate pieces of ribbon

So , the number of choosing skydivers x = 2

Now , the total number of ribbons used is calculated by combination

So , the equation is

ⁿCₓ = n! / ( ( n - x )! x! )

Substitute the value of n and x in the equation , we get

⁸C₂ = 8! / ( ( 8 - 2 )! x 2! )

      = 8! / ( 6! x 2! )

      = 8 x 7 / 2 x 1

      = 56 / 2

      = 28 ribbons

Hence , The total number of pieces of ribbons that were used in the skydiving act is 28 ribbons

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Answer:

56.44

Step-by-step explanation:

The sine of an angle is the length of the opposite side divided by the length of the hypotenuse, which in this case is 40/48=5/6. Therefore, that angle is the arcsin of this, or approximately 56.44 degrees, or answer choice C. Hope this helps!

Answer:

0.05

Step-by-step explanation:

3.25 divided by 9 is 0.35 and 2.4 divided by 8 is 0.3 (0.30)

theres a 0.05 gap

if im wrong im sorry

Answer:

Step-by-step explanation:

-4 + 13 - 4 + 13 - 4 + 13

9 - 4 + 13 - 4 + 13

5 + 13 - 4 + 13

18 - 4 + 13

14 + 13

27

Answer:

x = 0, x = [tex]\frac{10}{7}[/tex]

Step-by-step explanation:

Given

7x² = 10x ( subtract 10x from both sides )

7x² - 10x = 0 ← factor out x from each term

x(7x - 10) = 0

Equate each factor to zero and solve for x

x = 0

7x - 10 = 0 ⇒ 7x = 10 ⇒ x = [tex]\frac{10}{7}[/tex]

Answer:

x = 1.4

Step-by-step explanation:

1. Simplify the left side so you get 14 = 10x

2. Divide the whole equation by 10

3. x = 1.4

Answer:

V = 1206.3 [tex]ft^{3}[/tex]

Step-by-step explanation:

This shape is made up of a cylinder on the bottom and a cone on the top. We'll find the volumes of these shapes separately and then add them together.

Volume of a cylinder = area (of the base) x height

Substitute in the formula for the area of a circle.

V(cylinder) = [tex]\pi[/tex][tex]r^{2}[/tex] x h

Substitute in the values for the radius (8) and height (4)

V(cylinder) = [tex]\pi[/tex] x [tex]8^{2}[/tex] x 4

Evaluate using a calculator

V(cylinder) = 804.2477

To the nearest tenth, V(cylinder) = 804.2

Volume of a cone = [tex]\frac{\pi r^{2}h }{3}[/tex]. This is the area of the circular part of the cone ([tex]\pi r^{2}[/tex]), multiplied by the height from the point to the base, all divided by 3.

Substitute in the values for the radius of the circle (8) and the height (6)

V(cone) = [tex]\frac{\pi 8^{2} 6 }{3}[/tex] (On the top it's [tex]\pi[/tex] x [tex]8^{2}[/tex] x 6)

Evaluate using a calculator

V(cone) = 402.1239

To the nearest tenth, V(cone) = 402.1

Total volume = V(cylinder) + V(cone)

= 804.2 + 402.1

= 1206.3 [tex]ft^{3}[/tex]

Answer:

The speed of the boat in calm water is 12.8 miles per hour.

Step-by-step explanation:

While going downstream the speed of the boat is "x + 2", where x is the speed in calm water, while going upstream the speed of the boat is "x - 2". He made a trip that had two legs, each with a distance of 50 miles, therefore, the sum of the times it took him to complete each leg must be equal to the total time of the trip.

[tex]speed = \frac{distance}{time}\\\\time = \frac{distance}{speed}[/tex]

For the upstream:

[tex]time_{up} = \frac{50}{x - 2}[/tex]

For the downstream:

[tex]time_{d} = \frac{50}{x + 2}[/tex]

The sum of each of these times must be equal to "8 h", therefore:

[tex]8 = time_{up} + time_{d}\\\\8 = \frac{50}{x - 2} + \frac{50}{x + 2}\\\\8 = \frac{50*(x+2) + 50*(x - 2)}{(x-2)*(x+2)}\\\\8*(x-2)*(x+2) = 50*x + 100 + 50*x - 100\\\\8*(x^2 - 4) = 100*x\\\\8*x^2 - 100*x - 32 = 0\\\\x^2 - 12.5*x - 4 = 0\\\\x_{1,2} = \frac{-(-12.5) \pm \sqrt{(-12.5)^2 - 4*(1)*(-4)}}{2}\\\\x_{1,2} = \frac{12.5 \pm \sqrt{156.25 + 16}}{2}\\\\x_{1,2} = \frac{12.5 \pm \sqrt{172.25}}{2}\\\\x_{1,2} = \frac{12.5 \pm 13.124}{2}\\\\x_1 = 12.812\\\\x_2 = -0.312[/tex]

Since the speed can't be negative in this context, the only possible answer is 12.812 mph.

Answer:

12.8

Step-by-step explanation:

[tex]value \: of \: x \: is \: 210 \\please \: see \: the \: attached \: picture \\ for \: full \: solution \\ hope \: it \: helps[/tex]

Answer:

[tex]210 \: \: \: degrees[/tex]

Step-by-step explanation:

Two equilateral triangles and a square are join together.

So, in a equilateral triangle all the angles are equal. which means an angle measures 60 degrees.

Also in a square all the angles are equal . it measures 90 degrees.

x = two triangle = 60 +60

square = 90

[tex]60 + 60 + 90 \\ = 210[/tex]

hope this helps you.

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Answer:

the answer for this question is (y-5)/4=x

Answer:

x = 3,2

Step-by-step explanation:

Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.

please mark brainly

Answer:

x = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

First we have to distinguish the whole numbers from the numbers with variables.

2x and 5x are numbers with variables, 6 and 0 are whole numbers.

Then we can seperate them on different sides of the equal sign.

To do this, we have to subtract 6 on the left side and add it to the right side.

Now our equation will be 2x - 5x = -6.

Now we can simplify this.

Starting on the left side, 2x - 5x equals to -3x.

The right side can not be simplified.

So, our equation will now be -3x = -6.

Now we can divide both sides together.

The easiest way to do this is by turning the equation into a fraction.

So it will be [tex]\frac{-3}{-6}[/tex].

Both equal signs cancel out, so the answer will be [tex]\frac{1}{2}[/tex].

Hope this helped :)

Answer:

It takes 9.3 acres to plant per pound of seed.

Step-by-step explanation:

[tex]93 \div 10[/tex]

[tex]9.3[/tex]

Answer:

D

Step-by-step explanation:

Under a clockwise rotation about the origin of 90°

a point (x, y ) → (y, - x ) , thus

X(- 1, - 3 ) → X'(- 3, 1 )

Y(0, 0 ) → Y'(0, 0 )

Z(1, - 3 ) → Z'(- 3, - 1 )

Answer:

Answer is given below with explanations.

Step-by-step explanation:

By using the results of the similarity theorem

we say that

[tex] {y}^{2} = 4 \times 12 \\ {y}^{2}= 48 \\ {y} = \sqrt{48} \\ y = 4 \sqrt{3} [/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

The answer is  A and B

Answer:

a b

Step-by-step explanation:

Answer:

1.50c +18

Step-by-step explanation:

The constant price is 18 dollars, which never changes and for every topping you get, it costs $ 1.50. Since we don't know how many extra toppings are added we write 1.50c.  This shows that the price will be determined by the number of extra toppings added. If you got no toppings, sub in 0 for c to get $ 18 .

Answer:

1.50c+18

Step-by-step explanation:

The base price of the large cheese pizza is $18.  Since we don't know how many extra toppings are added we write 1.50c.  This shows that the price will be determined by the number of extra toppings added.  Since the question asked for an expression and not an equation, there is no equals sign.

Answer:

-12x+12y

Step-by-step explanation:

[tex]-\dfrac{3}{5}(20x-20y)=\\\\-\dfrac{3}{5}(20x)+-\dfrac{3}{5}(-20y)=\\\\-12x+12y[/tex]

Hope this helps!

Answer:

[tex]-12x+12y[/tex]

Step-by-step explanation:

We have the following expression:

[tex]-\frac{3}{5} (20x-20y)[/tex]

TO remove the parenthesis, we need to multiply each term within them by each term on the outside of the parenthesis. Then, we can simplify our answer..

[tex](-\frac{3}{5} )(20x)-(-\frac{3}{5} )(20y)\\\\-12x+12y[/tex]

Answer:

2, and 4 and 5 are possible solutions.

Step-by-step explanation:

It's not confirmed that 4 and 5 are, but they could be. 2 is a definite, unless E=.002 or something like that.

Answer:

Answer is below

Step-by-step explanation:

The sum of the measures of exterior angles on any shape is always 360 degrees.

If you meant to say the sum of the measures of the interior angles of a convex 65-gon, then it would be 11340 degrees.

(n-2)(180)      Substitute

(65-2)(180)    Subtract

(63)(180)        Multiply

11340

Sum of the measures of the exterior angles of a convex [tex]\boldsymbol{65-}[/tex]gon is equal to [tex]360^{\circ}[/tex]

An exterior angle is an angle between a side of a polygon and an extended side adjacent to it.

A polygon refers to any closed curve comprised of a set of connected sides such that no two sides cross.

Convex [tex]\boldsymbol{65-}[/tex]gon means a convex polygon with [tex]\boldsymbol{n}[/tex] sides.

The sum of measures of any polygon is equal to [tex]\boldsymbol{360^{\circ}}[/tex]

So, the sum of the measures of the exterior angles of a convex [tex]\boldsymbol{65-}[/tex]gon is equal to [tex]360^{\circ}[/tex]

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Answer:

n=10

Step-by-step explanation:

22+18=40 40/4=10

Given

4n - 18 = 22

Add 18 to both sides:

(4n - 18) + 18 = 22 +18

4n = 40

Divide 4n to both sides

[tex]\frac{4n}{4}[/tex]=[tex]\frac{40}{4}[/tex]

n=10

Now if you have to you can substitute n into the original equation and see if they are equal to one another.

4n - 18 = 22

4(10) - 18 = 22

40 - 18 = 22

22 = 22

With this being done n = 10

Answer:

4(x+2)(x-2)

Step-by-step explanation:

4x^2-16

4(x^2-4)

4(x+2)(x-2)

The difference of two squares formula is (a+b)(a-b), and it happens only when a^2 is minus b^2

Answer:

Option D

Step-by-step explanation:

A horizontal line has no slope. The equation 'y=1' graphs as a horizontal line. It passes (0,1). So, it touches the y-axis.

A line with an undefined slope does not touch the y-axis. It is vertical.

Option D should be the correct answer.

Answer: -1.3125

Step-by-step explanation:

(-1/4 - 1/2) = -0.75

-0.75/[tex]\frac{4}{7}[/tex] = -1.3125

Answer:

100

Step-by-step explanation:

0.86 x 100 = 86

Answer:

100

Step-by-step explanation:

Tendrias que sacar la x pasar 86 a dentro lo cual te daria x= 86÷ 0.86

lo cual te daria 100

Answer:

A = $ 31,043.09

A = P + I where

P (principal) = $ 3,600.00

I (interest) = $ 27,443.09

Step-by-step explanation:

A = P(1 + r/n)^nt

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

r = R/100

t = Time Involved in years, 0.5 years is calculated as 6 months, etc.

n = number of compounding periods per unit t; at the END of each period

Answer:

mDF = 90°

(Assuming arc mCE is 5x + 10)

Step-by-step explanation:

When we have two chords crossing in a circle, there is a property where the angle in the cross point is equal half the sum of the corresponding arcs.

So in this case, we have:

70° = (mCE + mDF)/2

Assuming mCE is 5x + 10, we have:

70 = (5x + 10 + 11x + 2)/2

70 = (16x + 12)/2

70 = 8x + 6

8x = 64

x = 8

So the arc mDF is:

mDF = 11x + 2 = 11 * 8 + 2 = 90°

The measure of arc DF should be 90 degrees.

Here we assume arc mCE should be 5x + 10

Since mDF = 90°

Also we know that at the time when two chords should be crossing in a circle so the angle in the cross point should be equivalent to the half the sum of the arcs

So base don this.

[tex]70 = (mCE + mDF)\div 2\\\\70 = (5x + 10 + 11x + 2)\div 2\\\\70 = (16x + 12)\div 2[/tex]

70 = 8x + 6

8x = 64

x = 8

Now the arc mDF is:

mDF = 11x + 2

= 11  (8) + 2

= 90°

Hence, The measure of arc DF should be 90 degrees.

Learn more about an arc here: https://brainly.com/question/3401487

Answer:

5/23

Step-by-step explanation:

if you turn "3 8/5" into a mixed number you would get 23/5 then you would flip the numbers to get 5/23

Hope this helps!!! :)

___________________________________

The right answer is of option C

so if we have to solve it then it will be:

5x+13x=180

or,18x=180

or,X=180/18

X=10

hope it helps

Good luck on your assignment

_______________________________

Answer:

C

Step-by-step explanation:

X is 10 so it is c

Hope this works

Answer:

(25*9)/52

Step-by-step explanation:

Answer:

225/9

Step-by-step explanation:

Product of 25 and 9

------------------------------ = 225/52

             52'

When you are given answer choices, please share them.  Thanks.