Write and solve a proportion for each word problem.
(9)There are 9 strawberries in a quart package. How many
quart packages do you need if you want 62 strawberries?

Answers

Answer 1

We will need 7 quart package if we want 62 strawberries

What is division?

Division is one of the basic arithmetic computation which divide a value in equal sets of smaller values. The other basic arithmetic computations are addition, subtraction, multiplication. We use long division method to find the quotient and remainder.

We are given that there are 9 strawberries in a quart package

Also we want 62 strawberries

Then how many quart will be required

Now we perform division to find the number of quart

62/9 = we get a value of 8.88

Which is very close to nine

Hence we will need 9 quart packages if we want 62 strawberries

To learn more about the division please refer the following link

https://brainly.com/question/25289437

#SPJ1


Related Questions

Find the values of x and y.​

Answers

Answer:

x = 20 degrees ; y = 70 degrees

Step-by-step explanation:

angle supplementary to 40 = 180 - 40 = 140 degrees


in isosceles triangle has the angles of the base with the same measure


140 + (2x) = 180

2x = 180 - 140

2x = 40

2/2 x = 40/2

x = 20 degrees


90 - 20 = 70 degrees


70 + y + 40 = 180

110 + y = 180

y = 180 - 110

y = 70 degrees


Answer:

Step-by-step explanation:

Keiko tracks the change in outside
one afternoon. She records
temperature
a temperature of 85.4°F at noon. The
temperature rises 3.85°F over the
next 4 hours. At 5:00 PM, Keiko records
a temperature of 89.25°F. How does the
temperature change between
4:00 PM
and 5:00 PM?

Answers

Answer:

  no change

Step-by-step explanation:

Given a temperature rise of 3.85 °F over 4 hours after noon, when the temperature is 85.4 °F, you want to know the change between 4 pm and 5 pm if the temperature at 5 pm is 89.25 °F.

Temperature at 4

The temperature at 4 pm is the sum of the noon temperature and the change in the 4 hours after noon:

  85.4 °F + 3.85 °F = 89.25 °F

Change after 4

The change from 4 pm to 5 pm is the difference between the 5 pm temperature and the 4 pm temperature:

  82.25 °F -89.25 °F = 0 °F

There is no change in the temperature between 4 pm and 5 pm.

f: x → 15/x - 5 What number must be excluded from the domain of f?​

Answers

Answer:

  x = 5

Step-by-step explanation:

You want to know what number must be excluded from the domain of f(x) = 15/(x -5).

Domain

The domain of a function is the set of numbers for which it is defined. The function f(x) = 15/(x-5) will be undefined when the denominator is zero:

  x -5 = 0

That will be the case when x = 5.

The domain of f must exclude x=5.

find the Cartesian coordinate of the point where polar coordinates are [5√2, π/4 ]​

Answers

The Cartesian coordinate of the point where polar coordinates are [5√2, π/4 ]​ is  ( 5/√2, -5/√2)

The polar cordinates given are (r,θ)=(5,− π/4)

And we need to find the cartesian coordinates

We have,

x=rcosθ, y=rsinθ

x=5cos(− π/4) ,y=5sin(− π/4)

x= 5/√2 ,y=− 5/√2

So, the cartesian form is ( 5/√2, -5/√2)

The Cartesian coordinate of the point where polar coordinates are [5√2, π/4 ]​ is  ( 5/√2, -5/√2)

To learn more about cartesian plane refer here

https://brainly.com/question/4726772

#SPJ9

equation for the perpendicular bisector of the line segment whose endpoints
are (-9, 3) and (-3, -1).

Answers

Equation for the perpendicular bisector of the line segment is  

2y = 3x +20.

A line segment that bisects another line segment at a 90° angle is known as a perpendicular bisector.

What is perpendicular bisector?

A line segment that bisects another line segment at a 90° angle is known as a perpendicular bisector. In other terms, a perpendicular bisector separates a line segment into two equal halves by intersecting it at a 90° angle.

Given coordinates of the endpoints of a line segment  (-9, 3) and (-3,-1).

In order to find the equation of perpendicular line, we need to find the slope between given coordinates.

Slope between  (-9, 3) and (-3, -1). :

slope = [tex]\frac{-1-3}{-3+9} =\frac{-2}{3}[/tex]

Slope of the perpendicular line is reciprocal and opposite in sign.

Therefore, slope of the perpendicular line = 3/2

Now, we need to find the midpoint of the given coordinates.

[tex]Mid points : \\x= \frac{ -9-3}{2} =-6\\ y= \frac{3-1}{2} = 1\\ pint = (-6,1)[/tex]

Let us apply point-slope form of the linear equation:

y-y1 = m(x-x1)

y - 1 = 3/2 (x + 6)

2y = 3x +20

To learn more about : Bisector

Ref : https://brainly.com/question/11541769

#SPJ13

PART B
How can the stage manager use the constant of proportionality to find the
dimensions of any new props the director requires?

Answers

 a) the constant of proportionality multiplies every actual linear    dimension

 b)  height of a can of fruit juice is 3.85 inches high

What is Proportionality?

The term proportionality describes any relationship that is always in the same ratio.

Explanation for answer:

Since the desire is to have students look twice as tall, we expect the constant of proportionality to be [tex]\frac{1}{2}[/tex].

Instead, we're told that the stage manager is using a height of 44 inches to represent an 80-inch door.

This means their constant of proportionality is [tex]\frac{40}{80} = 0.55[/tex]

a) Any new props can be scaled by this factor (0.55) to find their height on set.

b) A 7-inch can would be scaled to [tex]7\times 0.55 = 3.85\ inches[/tex]

Question: The school's theater club is building sets that will make ordinary students look like giants. The actors need a door, a table, and a stool that will make them look almost twice as tall!

DOOR: actual height is 80 inches and Height on Set is 44 inches

TABLE: actual height is 28 inches

STOOL: actual height is 18 inches

How can the stage manager use the constant of proportionality to find the dimensions of any new props the director requires?

What should the height of a can of fruit juice used as a prop be if its actual height is 7 inches? Show your work.

Find out more about  proportionality:

https://brainly.com/question/28413384

#SPJ13

At the beginning of a journey, the fuel tank of a car was 34 full. When the car reached its destination, it had consumed 60% of the gasoline in the tank. The full capacity of the fuel tank was w gallons.

a Enter an algebraic expression for the amount of gasoline left in the fuel tank.
gal

b If w = 15.5, how much gasoline was left in the tank at the end of the journey?
gal

Answers

a) An algebraic expression for the gasoline left in the fuel tank is L = 0.4w.

b) If w = 15.5, the amount of gasoline left in the tank at the end of the journey was 6.2 gallons.

What is an algebraic expression?

An algebraic expression is a mathematical statement that combines constants and variables together with mathematical operands.

The mathematical operands include addition, subtraction, division, multiplication, etc.

Let L = the amount of gasoline left

Let the full capacity of the fuel tank = w gallons

Gasoline consumed on the journey = 60% = 0.6

Equation:

L = w - 0.6w

L = 0.4w

Solution:

If w = 15.5

L = 0.4(15.5)

= 6.2 gallons

Learn more about algebraic equations at https://brainly.com/question/4344214

#SPJ1

An architect designs a rectangular flower garden such that the width is exactly​ two-thirds of the length. if 420 feet of antique picket fencing are to be used to enclose the​ garden, find the dimensions of the garden. what is the length of the​ garden?

Answers

The structure's length is 93 feet long and its width is 62 feet.

What is rectangle?We also refer to a rectangle as an equiangular quadrilateral since all of its angles are equal. A closed 4-sided shape is called a quadrilateral.A rectangle can also be referred to as a right-angled parallelogram because its sides are parallel. A quadrilateral with equal and parallel opposite sides is referred to as a parallelogram. Paralleograms are a specific instance of rectangles.

acc to our question -

Let W stand for the rectangle's flower garden's width and L for its length.

A rectangle flower garden with a width that is precisely two thirds of its length is created by an architect.

The following can be written:

W=2/3L

Given that the fence is 310 feet long, the rectangle's perimeter must also be 310 feet.

Perimeter = 2 (L + W)

The perimeter surrounding it)

2w + 2h = 310

2((2/3) * h) + 2h = 310

4h/3 + 2h = 310

10h/3 = 310

10h = 930

h = 93 feet

w = (2/3) * 93

w = 62 feet

Hence, The structure's length is 93 feet long and its width is 62 feet.

know more about rectangle click here:

https://brainly.com/question/25292087

#SPJ13

hourly wage is $10.50. If she
regularly works 40 hours per week, what is
her regular weekly pay?

Answers

Answer:

$420

Step-by-step explanation:

multiple 10.50 by 40 to get 420

Myles has 12 markers and 20
pencils. What is the greatest
number of groups that can be
made with equal number of
markers and pencils?

Answers

In  linear equation, No of marker is 5 and no of pencil is 3 .

What is a linear equation example?

Ax+By=C is the typical form for linear equations involving two variables. A linear equation in standard form is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y). For the purpose of resolving systems involving two linear equations, this form is also highly helpful.

Myles has 12 markers and 20 pencils.

take LCM of 12 and 20  = 60

no of 12 markers = 5

no of 20 pencils = 3

Learn more about linear equation

brainly.com/question/11897796

#SPJ13

mathematical shapes

Answers

Answer:

A square is an sqaure.

Step-by-step explanation:

circle is a circle. :) happy to help

8 (x + 2 ) when x = 6

Answers

Answer:

64

Step-by-step explanation:

8(x+2) when x=6

replace x with 6

8(6+2)

distribute 8

48+16= 64

1. Two spherical solids have masses of 15g and 405kg respectively. If the radius of the smaller sphere is 10cm. Find the radius of the bigger sphere.

2. Triangle PQR is such that the angle P=90° and PQ=37cm. Find RP when angle Q=16° degrees (Use tan 46°=1.04).

Answers

The radius of the bigger sphere is 30cm.

Two spherical solids have masses of 15g and 405kg respectively

Mass is directly proportional to volume for same metal (Density)

Let Mass of Solid 1 be M₁ and Volume be V₁

Mass of Solid 2 be M₂ and Volume be V₂

Now  M₁/M₂ =  V₁/V₂

Volume of sphere is directly proportional to R³

So,  M₁/M₂ = V₁/V₂ = R₁³/R₂³​

15/405000 = 10³/x³

∛15/∛405000 = 10/x

2.466/73.986 = 10/x

2.466x = 73.986 x 10

x = 739.86/2.466

x = 30

Therefore, the radius of the bigger sphere is 30cm.

To learn more about volume refer here

https://brainly.com/question/10171109

#SPJ9

How to solve step by step

Answers

It would be X/2 hope that helps

9. Every 4th person who walks into the dance gets a free water bottle. Every 9th person who walks in
gets an integrity ticket. Who will be the first person to get both a water bottle and an integrity ticket at
the dance?

Answers

The first person to get both integrity ticket and free water bottle is the person who comes 36th. This can be calculated by using L.C.M

What is L.C.M?

The value that's equally divided by 2 provided numbers is that the lowest common multiple of any two. Least common multiple is its full name. Another name for it's the Lowest common divisor (LCD)

Main Body:

According to question,

Every 4th person who walks into the dance gets a free water bottle

Every 9th person who walks in gets an integrity ticket.

so the L.C.M of 4 and 9 should be calculated.

L.C.M of 4 and 9 is 36.

Hence L.C.M is 36

To learn more about L.C.M , click on the link below

https://brainly.com/question/233244

#SPJ9

Find the mean, μ, for the binomial distribution which has
the stated values of n and p. Round answer to the nearest
tenth.
n = 38; p = 0.2
Select one:
Ο Α. μ = 8.3
OB. μ = 7.9
Cu = 7.1
OD. μ = 7.6

Answers

The mean value is 7.6. Option (D) is the correct answer.

The number of successes in a sample of size n drawn with replacement from a population of size N is frequently modeled using the binomial distribution.

The mean value of a binomial distribution is,

[tex]\mu =np\\=38*0.2\\=7.6[/tex]

Multiplication:

In mathematics, multiplying two or more numbers yields the product of the numbers. It is one of the basic mathematical operations that we carry out on a regular basis. The most obvious application is using multiplication tables. The multiplication of two numbers in mathematics represents the repeated addition of one number in respect to another. These numbers can be natural numbers, whole numbers, fractions, integers, or other types of numbers. When m is multiplied by n, m is either multiplied by n times or added to itself n times.

To learn more about multiplication visit: https://brainly.com/question/5992872

#SPJ9

What is the equivalent equation to the given equation?
x = x² - 20

Answers

The equivalent equation to the given equation i.e, x = x² - 20  is   x² - x - 20 = 0

What is a Quadratic equation ?

A second-degree equation of the form ax² + bx + c = 0 is known as a quadratic equation in mathematics. Here, x is the variable, c is the constant term, and a and b are the coefficients. Since x is a second-degree variable, this quadratic equation has two roots, or solutions.

The given expression is,

x = x² - 20

We have to make the equation in quadratic form i.e, ax² + bx + c = 0

so, first take x to the right side

0 = x² - 20 - x

Now swap the equation,

x² - 20 - x = 0

put 'x' term in middle and constant term at last like this,

x² - x - 20 = 0

Hence, The equivalent equation to the given equation i.e, x = x² - 20 is  x² - x - 20 = 0

To read more about Quadratic equation

brainly.com/question/28038123

#SPJ1

How many bit strings are there of length eight?

Answers

There are 28 which is 256. That means there are 256 different values you can store in a byte, since a byte is eight bits. There are 256 eight-bit ASCII codes, for instance.

1 byte = 8 bits

Number of bits = [tex]2^{8}[/tex]

= 2*2*2*2*2*2*2*2

= 4*2*2*2*2*2*2

= 8*2*2*2*2*2

= 16*2*2*2*2

= 32*2*2*2

= 64*2*2

= 128*2

= 256 bits.

Therefore that means there are 256 different values you can store in a byte, since a byte is eight bits.

Learn more about bit and length here:

https://brainly.com/question/14486092

#SPJ1

Anthony claims that A KLM is an isosceles triangle. Find the length of KM using the distance formula.​

Answers

Answer:√53 or 7.28010988928

Step-by-step explanation:

5x-3/x-1 what is the inverse of this

Answers

Answer:

[tex]f^{-1}(x)=\dfrac{3-x}{5-x}, \quad \{x|x\neq 5\}[/tex]

Step-by-step explanation:

Given function:

[tex]f(x)=\dfrac{5x-3}{x-1}[/tex]

As the given function is a rational function, the domain and range are restricted.

Domain:  (-∞, 1) ∪ (1, ∞).Range:  (-∞, 5) ∪ (5, ∞).

f⁻¹(x) is the notation for the inverse of the function.  

The inverse of a function is a reflection in the line y = x.

To find the inverse of the given function, swap f(x) for y:

[tex]\implies y=\dfrac{5x-3}{x-1}[/tex]

Rearrange the equation to isolate x:

[tex]\implies y(x-1)=5x-3[/tex]

[tex]\implies xy-y=5x-3[/tex]

[tex]\implies 3-y=5x-xy[/tex]

[tex]\implies 3-y=x(5-y)[/tex]

[tex]\implies x=\dfrac{3-y}{5-y}[/tex]

Swap the x for f⁻¹(x) and the y for x:

[tex]\implies f^{-1}(x)=\dfrac{3-x}{5-x}[/tex]

The range of the function is the domain of the inverse function.

Therefore, the domain of the inverse function is restricted:

Domain of f⁻¹(x):  (-∞, 5) ∪ (5, ∞).

Jake and Llana make and sell wooden birdhouses. Jake spent $150 buying supplies. He sells each birdhouse for $15. The equation P = 12x - 120
represents the profit, P, Liana earns for selling x birdhouses. Jake and Llana each made 50 birdhouses.
Which statements are true? Choose all that apply.
A. Jake spent $30 more on supplies than Liana.
B. Jake's birdhouses cost $3 more than Liana's.
C. Llana will have a greater profit than Jake if they each sell all 50 birdhouses.
D.
Llana and Jake will have the same profit if they each sell exactly 20 birdhouses.
E. Llana and Jake each need to sell a minimum of 11 birdhouses in order to make a profit.

Answers

(A) and (E) are the true statement.

Given,

In the question:

Jake and Liana make and sell wooden birdhouses. Jake spent $150 buying supplies. He sells each birdhouse for $15. The equation P = 12x - 120 represents the profit, P, Liana earns for selling x birdhouses. Jake and Llana each made 50 birdhouses.

To find the which statement is true?

Now, According to the question:

Jake's Profit: J = 15x - 150

Liana's Profit : P = 12x - 120

(A) when x = 0, P = -120, J = -150

then, 150 - 120 = $30

So, Jake spent $30 more than Liana

So, A is true, B is wrong.

(C) when x = 50 , J = 15 x 50 - 150 = $600

P = 12 x 50 - 120 =$480

Since, 600> 480

(D) when J = P

then, 15x - 150 = 12x = 120

3x = 30

x = 10

x = 10 not equal to 20

So, D is wrong

(E)  when P> -0 , and J > 0

then, 12x -120 > 0 and 15x - 150 > 0

=> x > 10

So, the minimum is 11, E is true .

Hence, Above the solution (A) and (E) are the true statement.

Learn more about Profit at:

https://brainly.com/question/23953382

#SPJ1

Solve the inequality for p
4 - 1/6 (p - 3) > 7

Answers

Answer:

p < -15

Step-by-step explanation:

[tex]4 - \frac{1}{6} (p - 3) > 7[/tex]

[tex] - \frac{1}{6} (p - 3) > 3[/tex]

[tex]p - 3 < - 18[/tex]

[tex]p < - 15[/tex]

How do I factor 250n2 + 20n8?

Answers

Step-by-step explanation:

[tex]250n^2+20n^8[/tex]

common factor is [tex]10n^2[/tex]:

[tex]10n^2(25 +2n^6)[/tex]

rearrange:

[tex]10n^2(2n^6+25)[/tex]

A cube has an edge measuring 7 inches.
What is the volume of the cube, in inches?

Answers

343 in^3 that’s the answer

a- 10 units
b-12.0 units
c-11.4 units
d-13.4 units

Answers

Using the distance formula, the distance between the point is √130.

In the given question we have to find the distance between given point in the graph.

From the graph the given points are (4,4) and (-3, -5).

The formula for the distance between point is

Distance = √{x(2)-x(1)}^2+{y(2)-y(1)}^2

From the given points; x(1)=4, y(1)=4, x(2)= -3 and y(2)= -5.

Now putting the value:

Distance = √{-3-4}^2+{-5-4}^2

Distance = √{-7}^2+{-9}^2

Distance = √49+81

Distance = √130

The distance between the point is √130.

To learn more about distance formula link is here

brainly.com/question/24485622

#SPJ1

not really sure what to do here??

Answers

Answer:

[tex]d=-6[/tex]

[tex]a_9=-49[/tex]

Step-by-step explanation:

If the first term of a sequence is [tex]-1[/tex] and the second term is [tex]-7[/tex], then each successive term in the sequence is [tex]6[/tex] less than the previous term. The common difference is [tex]-6[/tex] ( [tex]d=-6[/tex] ).

The formula representing the arithmetic sequence is:

[tex]a_n=-6n+5[/tex]

Therefore, the ninth term in the sequence is:

[tex]a_9=-6(9)+5[/tex]

[tex]a_9=-54+5[/tex]

[tex]a_9=-49[/tex]

1.25x10^-3/1.25x10^3

Answers

By solving the given fraction equation we get the answer is 1.

What is an exponent?

Exponent is the process of expressing large numbers in terms of powers. In other words, the exponent describes how many times a number has been multiplied by itself.

According to the zero exponent rule, any base with a zero exponent is equal to one. For instance, [tex]x^{0} = 1[/tex].

We have,

[tex]= \frac{1.25\\ * \\ 10^{-3}}{1.25 \\ * \\ 10^{-3}}[/tex]

[tex]= \frac{1.25\\ * \\ 10^{-3}}{1.25 \\} * 10^{3}[/tex]

Using the multiplication rule of fraction [tex]a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}[/tex]

[tex]= \frac{1.25 \ * \ 10^{-3} \ * \ 10^{3}}{1.25 \\}[/tex]

= [tex]= 10^{-3} * 10^{3}[/tex]

By applying the exponent rule [tex]\:a^b\cdot \:a^c=a^{b+c}[/tex] we get,

Add or subtract the numbers = 3 + 3 = 0

[tex]= 10^{0}[/tex]

By applying the rule [tex]a^{0} = 1[/tex], [tex]a \neq e^{0}[/tex]

= 1

Hence, by solving the above fraction equation we get the answer is 1.

To learn more about exponent visit,

https://brainly.com/question/13669161

#SPJ9

The drama club sold $1,416 worth of tickets for its fall play. If each ticket cost $8, how many tickets did the club sell?

Answers

1416 divided by 8 is 177
So the Club Sold 177 tickets

What is the volume of a cylinder, in cubie centimeters, with a height of 2 centimeters
and a base diameter of 20 centimeters? Round to the nearest tenths place?

Answers

The volume of the cylinder in cubie centimeter is 628 [tex]cm^{3}[/tex]

How to find the volume of cylinder?

1. Find the radius of the circular base: Since both circles are the same size, either one will work. Move on if you are aware of the radius. If you don't know the radius, you can divide the diameter of the circle by 2.

2. Find the height of the cylinder : Continue if you already know the height. Otherwise, measure it with a ruler. The height is determined by the separation of the two bases' edges.

diameter (d) = 20

radius = [tex]\frac{20}{2}[/tex]

        r = 10

height (h) = 2cm

volume v = [tex]\pi r^{2} h[/tex]

            v = 3.14(10*10)2

               = 628 [tex]cm^{3}[/tex]

To learn more about finding the volume of cylinder from the given link  

https://brainly.com/question/23935577

#SPJ1

The Monty Corporation has a staff of sales people who are paid a monthly salary of $1,600.00 plus an incremental commission based on the table below. If Sally sells $29,700.00, what is her total gross pay for the month

Answers

Answer:

Step-by-step explanation:

-28,100 if you subtract 29,700.00 - 1,600.00  =  -28,100

Other Questions
the apple is then moved to a deeper point in the water. compared with the force needed to hold the apple just below the surface, what is the force needed to hold it at the deeper point? A bakery sold a total of 3028 coffee and blue berry buns.1560 more coffee buns were sold than blue berry buns.how many coffee buns did the bakery sell Define espirit de corps.O The spirit, motivation, and state of mind of the unitThe spirit, soul, and state of mind of the unitThe spirit, confidence, and state of mind of the unitO None of the above a hand of 12 cards is dealt from a well-shuffled standard 52-card deck of cards. what is the probability that the hand contains 4 jacks? a) 0.041828 b) 0.001828 c) 0.031828 d) 0.011828 e) 0.051828 f) none of the above. Kalias parents give her simple interest on any money she saves for college. Which equation and solution represents the total interest, T, earned when the principal amount is $100, the annual simple interest rate is 1%, and the number of years is 10?T = 100 (10 + 0.1); $1,010 T = 100 (10 + 0.01); $1,001 T = 100 0.1 10; $100 T = 100 0.01 10; $10 When a researcher examines the consistency of data collected in a study, the researcher is considering which of the following characteristics?A. reliabilityB. validityC. standard deviationD. mode share #5200 in the ratio 13:27 A bag of chocolate mix that weighed 1/4 of a kilogram could make enough brownies to feed 1/7 of the students at school. How many bags would be needed to feed all of the students? dnp is a toxin that destroys the proton gradient created by the electron transport chain. where in the cell does dnp act? a. plasma membrane b. mitochondrial matrix c. inner mitochondrial membrane d. nuclear membrane 57:02Read this quotation.The cause of America is in a great measure the cause of all mankind . . . The laying a Country desolate with Fire and Sword, declaring War against the natural rights of all Mankind . . . is the Concern of every Man to whom Nature hath given the Power of feeling.Thomas Paine, Common Sense, 1776In this quotation, Paine argues that the American desire for independence isuniversal, or shared by everyone.only the concern of Britain and the colonies.different from those of people in other countries.too complicated for most people to understand. How was thepopulation of the CherokeeTribes impacted by the Trail ofTears? which of the following statements concerning activity-based management is true? select one: a. activity-based management is concerned with maximizing the value of activities. b. activity-based management is concerned with minimizing the cost of activities. c. activity-based management is concerned with improving processes. d. all of the above statements are true. 2(20x8) + 2(20x3)+2(8x3) A wheel with rotational inertia I is mounted on a fixed, frictionless axle. The angular speed of the wheel is increased from zero to f in a time interval T.What is the average power input to the wheel during this time interval (hint: power = work / time)?A:[tex]\frac{I^{2}\omega_{f} }{2T^{2} }[/tex]B: [tex]\frac{I\omega^{2}_{f} }{2T^{2} }[/tex]C: [tex]\frac{I\omega_{f}} {2T}[/tex]D: [tex]\frac{I\omega^{2}_{f} }{2T}[/tex] Why do the people of Athens have to sacrifice fourteen young people to the Minotaur in Crete every year? 2. What portion of the 1st Amendment guarantees individuals the right to worship as they choose? What caused the disappearance of land bridges? A. Movement of the continents B. A mass extinction C. Formation of the polar ice caps D. The end of the Ice Age Solve for x:-[tex]\sf 5 + 2x = 2x + 6[/tex] Translate the sentence into an equation.The square of a number is equal to the square root of that number. If a girl is sitting on box and the girl weighs 10kg and the box weighs 50 kg, how much force will beneeded to accelerate the box 5 m/s2? If the same force is used, what will the acceleration be if the girl hops off the box?