three solid shapes A,B and C are similar the surface of shape A is 9cm² the surface of shape B is 16cm² the ratio of the volume of shape B to the volume to shape C is 27:125 work out the ratio of the height of shape A to the height of shape C. give your answer in its simplest form
PLEASE ANSWER ASAP

Answers

Answer 1

Answer:

A:C = 9:20

Step-by-step explanation:

The computation of the ratio is shown below:

We can say that

Surface area ratio = Ratio square

i.e

[tex](\frac{A}{B})^2 = \frac{9}{16}[/tex]

Now squaring both sides

[tex]\frac{A}{B} = \sqrt{\frac{9}{16} } \\\\ \frac{A}{B} =\frac{3}{4}[/tex]

The ratio is 3: 4

Now in the other case

Volume ratio = Cube ratio

i.e

[tex](\frac{B}{C})^3 = \frac{27}{125}[/tex]

Now cubing root both sides

So,

[tex]\frac{B}{C} = \frac{3}{5}[/tex]

Therefore  

B : C = 3:5

Now for making the equivalent ratios

A:B:C = 9:12:20

So,

A:C = 9:20


Related Questions

Plz please help❤️ With only 5 please

Answers

Answer:

4. -1/2 and 2

5. N and R

Step-by-step explanation:

Well if you want me too do 5 I’ll do 4 too.

So for #4 it’s actually pretty simple we just have to seperate y that’s it.

So first we have to get y by itself by subtracting 3x to the other side so the equation looks like this now [tex]6y=-3x+12[/tex].

Now we have to take away the 6 and to do that we divide it to all the numbers and variables. Which gets us [tex]y=-1/2x+2[/tex].

So m and b are -1/2 and 2.

So we have to graph y = -1/2x + 2 so look at the image below.

So looking at the image we can see it passes through the points N and R.

Answer:

The line passes through points N and R.

Step-by-step explanation:

I graphed the equation on the graph below.

What is the equation of the line that passes through the points (15, 9) and (-2, 9)?

Answers

Answer:Y=9

Step-by-step explanation:

Answer:

Y=9

Step-by-step explanation:

Took the test and got 100%.

FIND THE AREA AND PERIMETER PLEASE ​

Answers

Answer:

Area = 70    Perimeter = 50

Step-by-step explanation:

I will begin with area.  I can find the area of each figure, then add the areas.

3 • 18 = 54

4 • 4 = 16

Area = 70

For perimeter, I will add the given lengths.

3 + 18 + 7 + 4 + 4 + 14

Perimeter = 50

Answer:

Area: 70cm

Perimeter: 50cm

Step-by-step explanation:

The shape can be separated into 2 shapes to calculate the area, a rectangle and a square. The rectangle can be measured 18cm * 3cm and the square can be 4cm * 4cm. The rectangle's area is 54cm and the square is 16cm. Add both to find the area. 54+16= 70. To find the perimeter you just add all the sides together. 3+18+7+4+4+14= 50.

Write in figures;Nine million twenty thousand four hundred and six and twenty seven thousandths.​

Answers

Answer:

9,020,406.27

Step-by-step explanation:

Answer:

9,020,406.27

Step-by-step explanation:

Para medir la temperatura se pueden utilizar diferentes escalas, por ejemplo, la escala de grados Celsius (°C) y Fahrenheit (°F ). La relación entre estas escalas está dada por la expresión: C igual fracción numerador 5 por F menos 160 entre denominador 9 fin fracción ¿A cuántos grados Fahrenheit equivalen 62 °C?

Answers

Answer:

143.6F

Step-by-step explanation:

Entonces la ecuación establecida es;

C = [tex]\frac{5F-160}{9}[/tex]

Entonces, para resolver el Celsius, debes hacer de F el tema que hago a continuación.

[tex]C = \frac{5F - 160}{9}\\C * 9 =( \frac{5F-160}{9}) *9\\9C - 5F = 5F -160 - 5F\\9C-5F =-160 \\-5F = -160 - 9C\\\frac{-5F}{-5} = \frac{-160-9C}{-5}\\[/tex]

∴[tex]F = \frac{-160-9C}{-5}[/tex]

Ahora ingresamos los valores y resolvemos para F

F = [tex]\frac{-160 - 9(62)}{-5}[/tex]

  =[tex]\frac{-160-558}{-5}[/tex]

  = [tex]\frac{-718}{-5}[/tex]

  = 143.6

∴ 62C = 143.6F

4⋅f(6)−6⋅g(5) need help asap

Answers

Answer:

6

Step-by-step explanation:

From the blue graph of f(x) we can see that the function value is -6 when x = 6.  Similarly, g(5) = -5.

Then:  4*f(6) - 6*g(5) becomes:

           4*(-6) - 6*(-5), or

              -24 +  30  = 6

The value of ⋅f(6)−6⋅g(5)= 6

What is Composition of function?

An operation where two functions say f and g generate a new function say h in such a way that h(x) = g(f(x)).

Given:

From the blue graph we can see that

f(x)= -6 when x = 6.

Similarly, g(5) = -5.

thus,

4*f(6) - 6*g(5)

=3 4*(-6) - 6*(-5)

=-24 +  30

= 6

Learn more about this concept here:

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Nathaniel is using the quadratic formula to solve 0 = x2 + 5x - 6. His steps are shown below. Table showing 3 steps to solve an equation using the quadratic formula. What are the solutions to the equation?

Answers

Answer:

              [tex]\underline{x\in\left\{-6\,,\ 1\right\}}[/tex]

Step-by-step explanation:

[tex]x^2+5x-6=0\\\\a=1\,,\ \ b=5\,,\ \ c=-6\\\\x_1=\dfrac{-5-\sqrt{5^2-4\cdot1\cdot(-6)}}{2\cdot1}=\dfrac{-5-\sqrt{25+24}}2=\dfrac{-5-\sqrt{49}}2=\dfrac{-5-7}2=-6\\\\x_2=\dfrac{-5+\sqrt{5^2-4\cdot1\cdot(-6)}}{2\cdot1}=\dfrac{-5+7}2=1[/tex]

Answer:

Step-by-step explanation: Answer is B-6,1

Quick please. Timed. Which table represents a LINEAR function? (will give brainliest)

Answers

Answer:

the last one

Step-by-step explanation:

Answer: The answer is the last graph.

Step-by-step explanation:

The first graph's difference is not a constant ratio.

The 2nd is multipled first by -5, then 5. Therefore wrong.

The third's difference is changing: (4,8,16...._) It would have to be always 4 if it was a linear.

The last one has the same increase every time.

Please answer my question now in two minutes

Answers

Answer:

lines MP and NO are parallel

Step-by-step explanation:

they will never intersect

Answer:

mp and no are the parallel sides

Philip Drinks 2/3 pint of water for each mile he runs. How many pints of water will he drink if he runs 4 1/2 miles? Please answer this as qucikly as you can.

Answers

Hey there! I'm happy to help!

To find our answer, we simply multiply the amount of water per mile by the number of miles to find the total amount Phillip drank!

2/3×4 1/2=3

Therefore. Phillip will drink 3 pints of water if he runs 4 1/2 miles.

Have a wonderful day! :D

Pablo generates the function f (x) = three-halves (five-halves) Superscript x minus 1 to determine the xth number in a sequence. Which is an equivalent representation?

Answers

Answer:

f(x + 1) = Five-halves f(x) (A)

Question:

The complete question as found in brainly( ID:13525864) is stated below.

Pablo generates the function f(x) = three-halves (five-halves) Superscript x minus 1 to determine the xth number in a sequence.

Which is an equivalent representation?

f(x + 1) = Five-halvesf(x)

f(x) = Five-halvesf(x + 1)

f(x + 1) = Three-halvesf(x)

f(x) = Three-halvesf(x + 1)

Step-by-step explanation:

f(x) = (3/2)(5/2)^(x-1)

Where 3/2 = three-halves and 5/2 = (five-halves)

To determine an equivalent representation, let's assign values to x to see the outcome and compare it with the options.

f(x) = (3/2)(5/2)^(x-1)

For x = 1

f(x) = (3/2)(5/2)^(1-1) = (3/2)(5/2)^(0)

f(x) =(3/2)(1) = 3/2

For x = 2

f(x) = (3/2)(5/2)^(2-1) = (3/2)(5/2)^(1)

f(x) =(3/2)(5/2)

So from the above assigned values

f(x=1) = 3/2

f(x=2) = f(x + 1) = f(1 + 1)

f(x + 1) = (3/2)(5/2)

Since f(x) = 3/2

f(x+1) = (3/2)(5/2) = f(x) × 5/2 = 5/2f(x)

From the options, an equivalent representation: f(x + 1) = Five-halves f(x)

(A)

Answer:

f(x + 1) = [tex]\frac{5}{2}[/tex]f(x)

Step-by-step explanation:

Sphere A has a diameter of 12 and is dilated by a scale factor of one half to create sphere B. What is the ratio of the volume of sphere A to sphere B?

Answers

Answer:

VA/VB = 8

Step-by-step explanation:

You have a sphere A with diameter 12, that is, radius 6, which can be written as follow:

[tex]V_A=\frac{4}{3}\pi r_A^3=\frac{4}{3}\pi (6)^3=288\pi[/tex]             (1)

The sphere A is dilated by a scale factor of one half to sphere B. Then, you have:

[tex]V_B=\frac{4}{3}\pi r_B^3=\frac{4}{3}\pi (\frac{6}{2})^3=36\pi[/tex]       (2)

From the results of equation (2) and (1) you can calculate the ratio VA/VB:

[tex]\frac{V_A}{V_B}=\frac{288\pi}{36\pi}=8[/tex]

The ratio of the volumes of both sphere A and B is 8

Answer:

8:1

Step-by-step explanation:

hope this helps

In arguing against the death penalty, Amnesty International has pointed out supposed inequities, such as the many times a black person has been given the death penalty by an all-white jury. If jurors are selected randomly from an adult population, find the probability that all 12 jurors are white when the population is (a) 90% white and (b) 50% white.

Answers

Answer:

(a) 0.2824

(b) 0.0002441

Step-by-step explanation:

Assuming that the population is large enough to behave as a binomial distribution (between whites and non-whites), the probability of 12 out of 12 juros being white is:

[tex]P(w=12) = p(w)^{12}[/tex]

Where p(w) is the proportion of the population that is white:

(a) for p = 0.90

[tex]P(w=12) = 0.90^{12}\\P(w=12) =0.2824[/tex]

The probability is 0.2824.

(b) for p = 0.50

[tex]P(w=12) = 0.50^{12}\\P(w=12) =0.0002441[/tex]

The probability is 0.0002441.

I just failed a test cansomeone explained to me what inequalitys are

Answers

Answer:

An inequality is a relation which makes a non equal comparison between two of more numbers or other mathematic equations. > I'd greater than < is less than = equal to. ≥ is greater than or equal ≤ less than or equal to. = equal to ≠ not equal

Step-by-step explanation:

Inequality- is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

In which diagram are angles 1 and 2 vertical angles?

Answers

Answer:

Step-by-step explanation:

THE ANGLES THST LOOK LIKE CROSS AND HAVE A STRAIGHT LINE

Answer:

A

Step-by-step explanation:

edge 2023

What are the coordinates of point P on the directed line segment from A to B such that P is One-fourth the length of the line segment from A to B?

Answers

Answer:

The answer is explained below

Step-by-step explanation:

The location of point A = (-5, -1) and point B = (4, 1).

To find the coordinate of the point that divides a line segment PQ with point P at [tex](x_1,y_1)[/tex] and point Q at [tex](x_2,y_2)[/tex] in the proportion a:b, we use the formula for the x and y coordinates:

[tex]x-coordinate:\\\frac{a}{a+b}(x_2-x_1)+x_1 \\\\While \ for\ y-coordinate:\\\frac{a}{a+b}(y_2-y_1)+y_1[/tex]

P is One-fourth the length of the line segment from A to B, Therefore AB is divided in the ratio 1:4. The location of point A = (-5, -1) and point B = (4, 1).Therefore:

[tex]x-coordinate:\\\frac{1}{1+3}(4-(-5))+(-5)=\frac{1}{4}(9)-5=-\frac{11}{4} \\\\While \ for\ y-coordinate:\\\frac{1}{1+3}(1-(-1))+(-1)=\frac{1}{4}(2)-1=\frac{-1}{2}[/tex]

Therefore the coordinate of P is (-11/4, -1/2)

Answer:

the coordinate of P is (-11/4, -1/2)

x= -11/4

y= -1/2

c on edu

Step-by-step explanation:

edu 2021

In an exam 35 out of 125 students failed. What percentage passed the exam?​

Answers

Answer:

28%

Step-by-step explanation:

To find the percentage, you first have to divide:

35 out of 125 Which is 35 ÷ 125 = 0.28

Then you must convert that into a percentage:

0.28 = 28%

Hope this helps you out! : )

72% (percentage) of the students passed the exam.

What are percentages?

Percentages are a fractional representation of numbers with the denominator as 100.

For example, if we consider x%, then this is x/100.

While determining the percentage, we multiply the fraction by 100.

How to solve the question?

In the question, we are informed that in an exam 35 out of 125 students failed.

We are asked to tell the percentage of students who passed the exam.

The number of students who passed the exam = The number of students who gave the exam - the number of students who failed = 125 - 35 = 90.

Therefore, the percentage of students who passed = the fraction of student passed * 100% = 90/125 * 100% = 72%.

Therefore, 72% (percentage) of the students passed the exam.

Learn more about percentages at

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Ewen has 48 whistle tiles and 16 blue tiles the cost of each white tile was £2 and the cost of each blue tile was £4 Work out the ratio of the total cost of the white tiles to the total cost of the blue tiles

Answers

Answer:

3:2

Step-by-step explanation:

Ewen has 48 white tiles and 16 blue tiles

The cost of each white tile was £2

The cost of each blue tile was £4

Therefore the total cost of 48 white tiles is

= 48×2

= £96

The total cost of 16 blue tiles is

= 16×4

= £64

The ratio of the total cost of the white tiles and blue tile can be calculated by dividing the cost of both tiles by their greatest common factor

The greatest common factor of £96 and £64 is 32

96/32 = 3

64/32= 2

Ratio= 3:2

Hence the ratio of the total cost of the white tiles to the blue tiles is 3:2

I will make you a brainllest :) plz

Answers

Answer:

38

Step-by-step explanation:

RST = RSQ + QST

70 = 3x-10 + 2x

Combine like terms

70 = 5x-10

Add 10 to each side

70 + 10 = 5x-10+10

80 = 5x

Divide each side by 5

80/5 = 5x/5

16 =x

Now find QSR

QSR = 3x-10

       3*16 - 10

      48-10

     38

de un tanque lleno de agua se utiliza la cuarta parte para lavar ropa, los 5/ 6 del resto para cocinar y aun quedan 100 litros de agua ¿ cuantos litros de agua tenia el tanque?¿ cuantos litros de agua se utilizan para cocinar?

Answers

Answer:

a. 800 litros

b. 500 litros

Step-by-step explanation:

Aquí, se nos dice que 1/4 del total se usa para lavar la ropa.

Lo que queda sería 1-1 / 4 = 3/4 Fuera de esto, 5/6 se usa para cocinar.

La fracción utilizada para cocinar es 5/6 * 3/4 ​​= 15/24 = 5/8

Y todavía nos quedan 100 litros.

La cantidad utilizada ya sería 1/4 + 5/8 = (2 + 5) / 8 = 7/8

Entonces la fracción no utilizada = 1-7 / 8 = 1/8

Ahora, es este 1/8 que corresponde a 100 litros.

Digamos que el volumen total es x litros inicialmente, Eso significa 1/8 * x = 100 x / 8 = 100 x = 800 litros

La fracción utilizada para cocinar es 5/8 del total, por lo que el valor sería 5/8 * 800 = 500 litros

If m ≤ f(x) ≤ M for a ≤ x ≤ b, where m is the absolute minimum and M is the absolute maximum of f on the interval [a, b], then m(b − a) ≤ b f(x) dx a ≤ M(b − a). Use this property to estimate the value of the integral. π/9 5 tan(3x) dx π/12 (smaller value) (larger value)

Answers

Answer: the value of the integral is in the range:

0.006  ≤  int ≤  0.008

Step-by-step explanation:

First, we have the function

5*tan(3x), and the range in this case is: pi/12 ≤ x ≤ pi/9

Then, the first step is find the maximum and minimum of f(x) in this range.

We know that between 0 and pi/2, tan(x) is a growing function, then

then the limits are

5*tan(3*pi/9) = 5*tan(pi/3) = M=  0.091

5*tan(3*pi/12) = 5*tan(pi/4) =m = 0.069

Then the value of the integral is between:

0.069*(3.14/9 - 3.14/12) ≤  int ≤  0.091*(3.14/9 - 3.14/12)

0.006  ≤  int ≤  0.008

first chance you get the best marks ​

Answers

Answer:

First box and last box.

Step-by-step explanation:

It is the first box.

Distribute 7 to the first number

7 * -3/4 = -21/4

-21/4 = 5  -1/4

Distribute 7 to the second number

7 * -3

= -21

Put the numbers together

5  -1/4x  -21 is the answer.

It is also the last box.

They separated the parenthesis.

So it is still 7 * -3/4

and

7*-3.

Hope this helps,

Kavitha

Teniendo en cuenta que un Tambo tiene 12 Vacas en Ordeñe con un promedio de 16 litros por vaca por día y la leche es destinada a la Industria Láctea para la elaboración de quesos, ¿Cuántos kilos de queso podría elaborar semanalmente y mensualmente?

Answers

Answer:

En una semana, 1344 kilos

En un mes, 5760 kilos

Step-by-step explanation:

Tambo tiene 12 vacas y cada vaca produce un promedio de 16 litros por día.

Por lo tanto, en un día, las 12 vacas podrían producir:

12 * 16 = 192 litros

En una semana, las 12 vacas podrían producir:

192 * 7 = 1344 litros = 1344 kilos

En un mes, las 12 vacas podrían producir:

192 * 30 = 5760 litros = 5760 kilos

this diagram shows a scale drawing of a playground the scale is ___ 1:500 work out the perimeter of the real playground give your answer in meters

Answers

Answer:

The perimeter of the actual playground is 22000 units

Step-by-step explanation:

By measurement, the width of the scale drawing = 16 units

The breadth of the scale drawing = 6 units

Therefore, given that the scale is 1:500, we have that the actual dimensions of the playground are;

Actual width of the playground = 500×16 = 8,000 units

Actual breadth of the playground = 500×6 = 3,000 units

Therefore;

The perimeter of the actual playground = 2 × 8000 + 2 ×3000 =  22000 units.

I need help with this problem, the picture is attached below. Select the following numbers that cannot represent the area of a polygon.

Answers

Answer:

-200, 0 and -5

Step-by-step explanation:

Area can never be zero or negative.

PLZ HELP ME I NEED THIS FAST WILL GIVE BRAINLIEST

Answers

Step-by-step explanation:

The formula the amusement parc use is  100y-39000=55(x-800)

The slope intercept form of a function is wriiten generally as:

y = mx+c

m is a slope c is a constant and represents the y-intercept x is a variable y is the input of the function

Let's rewrite our equation in the precedent form

100y-39000 = 55(x-800)100y -39000 = 55x-44000    add 39000 in both sides100y-39000+39000 = 55x-44000+39000100y = 55x-5000            divide both sides by 100y = 0.55x-50

The slope intercept form of this equation is:

y= 0.55x-50

Answer:

y=55x+38992

Explanation:

You have to turn the equation into the form y=mx+b

Step 1: Get y by itself(divide both sides by 100)

100y-39,000=55(x-800)

100/100y-39,000=55(x-800)/100

y-39,000=55(x-800)/100

Step 2: Get y by itself(+ 39000 to both sides)

y-39,000=55(x-800)/100

 +39,000=55x-800/100+39,000

y=55x-800/100=39,000

Step 3: Simplify

y=55x+38992

A rectangle on a coordinate plane has vertices at (7,5),(-7,5),(-7,-2),and (7,-2) what is the perimeter of the rectangle?

Answers

Answer:

Your Perimiter is 42

Step-by-step explanation:

Distance from 7,5 to -7,5 is 14

Distance from -7,5 to -7,-2 is 7

Then we double both those numbers as it is a rectangle

2l + 2w = Per...

28 + 14 = 42

MARK AS BRAINLIEST

please help me Which of the following choices will evaluate the function ƒ(x) = -(-x), when x = -3? 3 -1 -3 None of these choices are correct.

Answers

Answer:

-3

Step-by-step explanation:

Given the function f(x) = -(-x)

we want to evaluate f(-3)

What we do simply here is substitute the value of -3 for x in the equation

That would be ;

f(-3) = -(-(-3)) = -(3) = -3

Find the 13th term 4, -16, 64,

Answers

Answer:

The 13th term is 67,108,864

Step-by-step explanation:

The term goes up by -4 so you times each number by -4 until you have reached the 13th term. for example 64*-4 is the 4th term, whatever you got for 64*-4 you times by -4 until you have reached the 13th sequence :)

assume that y varies inversely with x. if y = 8 when x = 1.55, find x when y = -0.62

Answers

Answer:

y varies inversely with x is written as

y = k /x

where k is the constant of variation

y = 8 x = 1.55

8 = k / 1.55

Multiply through by 1.55

k = 12.4

The formula is

y = 12.4 / x

when y = - 0.62

- 0.62 = 12.4/x

- 0.62x = 12.4

Divide both sides by - 0.62

x = 12.4/-0.62

x = - 20

When y = - 0.62 x = - 20

Hope this helps

Other Questions
40 points!!! please tell me how to do it not what the answer is :D About Galileo Galilei : Why was he allowed to serve his sentence from home? Construct a perpendicular bisector to AB -28=7(x-7) What does x= Kids Early Start (KES) operates from Monday to Friday. KES provides childcare and educational services for inner-city kids between ages of 3 months and 5 years. It has fixed expenses of $35,000 per week and charges parents $15 per day for each child who attends the program. Read and choose the option that best answers the question. Hola! Mi nombre es Rosita y vivo en Cartagena, Colombia. Tengo 16 aos y estoy en la escuela superior. Todas las escuelas superiores en Colombia tienen cuatro rutas diferentes, desde un ao a cinco aos de estudios: programas tcnicos, tecnolgicos, docentes y profesionales. Los programas docentes y profesionales son los ms largos. Yo estudio en el programa tcnico. Quiero ser jardinera. Cuando terminas los dos aos del programa tcnico, puedes comenzar a trabajar inmediatamente sin ir a la universidad. En las carreras profesionales necesitas estudiar ms que en las carreras tcnicas y necesitas ir a la universidad. Mi amigo Fabio estudia las computadoras en el curso tecnolgico. A l le encanta la tecnologa. En los Estados Unidos hay carreras tcnicas, pero no en todas las escuelas. En Estados Unidos, despus de terminar las carreras tcnicas o generales, puedes ir a la universidad para los estudios profesionales. Based on the text, what professional path career in the United States could Rosita follow after the second technical year? Botanical garden engineering Computer programming Cybersecurity decoding Flower shop assistant What are the types of country according to development ratio? What did the popular movies of the Depression reveal about American values at that time? How did these values contrast with the values Americans held before the Depression? rawford Trucking plans to dispose of two trucks in 2022. They sell the first truck on January 2 and the second truck on July 9. If the end of their fiscal year is December 31, how will the calculation of book value differ for these two vehicles? A retail store sells two types of shoes, sneakers and sandals. The store owner pays $8 for the sneakers and $14 for the sandals. The sneakers can be sold for $10 and the sandals can be sold for $17. The owner of the store estimates that she won't sell more than 200 shoes each month, and doesn't plan to invest more that $2,000 on inventory of the shoes. Let x= the number of sneakers in stock, and y=the number of sandals in stock. Write an equation to show the profit she will make on sneakers and sandals. P = [answer0] Plz help ASAP I WILL GIVE BRAINLIEST!! Emily was going to sell all of her stamp collection to buy a video game. After selling half of them she changed her mind. She then bought seventeen more.IF SHE STARTED WITH 46 STAMPS, how many does she have now? A. 75 B. 40 C. 29 D. 63 Which is an example of a gothic character?A. A madmanB. A psychologist C. A bankerD. A doctor Vicki and Tamra are working on their math homework together. Vicki has worked p problems, and Tamra has worked 4 times as many problems as Vicki. The expression shows how many problems they have worked altogether. p + 4p Which of the following is another expression that could be used to get the same result, and what does it represent? A. 5p2. This represents that Vicky and Tamra have worked on 5p2 problems altogether. B. p + 4. This represents that Vicky and Tamra have worked on p + 4 problems altogether. C. 5p. This represents that Vicky and Tamra have worked on 5p problems altogether. D. p + 5. This represents that Vicky and Tamra have worked on p + 5 problems altogether. Setting is the time and placeof a story. Underline thewords in lines 5-6 that showwhere this part of the storytakes place. When do youthink this story takes place? Decide if Y=3x-9 and Y=4x-9 have many solutions, one solution, or no solutions. What are 3 Divine Characteristics shown in Jesus Baptism? Explain? Mary wants to paint her bedroom. Each wall takes 1/3 of a liter of paint. If she buys 2 liters ? pointof paint, how many walls can she paint? * a playground merry-go-round of radius r = 2.20 m has a moment of inertia i = 245 kg m2 and is rotating at 11.0 rev/min about a frictionless vertical axle. facing the axle, a 26.0-kg child hops onto the merry-go-round and manages to sit down on the edge. what is the new angular speed of the merry-go-round? A store ships books by weight. A small box can hold 46 pounds. A medium box can hold 57 pounds. A large box can hold 89 pounds. The weights of the books are given below. Drag books into each box to show what it can hold. 30.10A bag contains 4 red marbles, 3 a bag contains 4 red marbles, 3blue marbles, and 7 green marbles. If a marble is randomly selected from the bag,find the probability that a blue marble will be drawn