Solve the following word problems.


1. The ratio of red marbles and blue marbles that Carlo has is 8: 3. When he
exchanged 35 red marbles for 20 blue marbles from his brother, he was left with
equal number of red and blue marbles.
How many red and blue marbles did he have at the beginning?
How many red and blue marbles did he have now?

Answers

Answer 1

Answer:

see below

Step-by-step explanation:

R:B = 8:3

5 ratio marbles is 35 (to make ration 3:3)

1 ratio=7

He originally had 56 red marbles and 21 blue (77 total)

Now he has 21 Red and 21 Blue (42 total)


Related Questions

Find the missing side of the triangle and leave the answer in simplest radical form.

Answers

Answer:

x = [tex]\sqrt5[/tex]

Step-by-step explanation:

Using Pythagoras theorem,

Square of longer side = Sum of square of other sides .

Therefore,

[tex](\sqrt{11})^2 = x^2 + (\sqrt{6})^2\\\\11 = x^2 + 6\\\\11 - 6 = x^2\\\\5 = x^2\\\\x = \sqrt 5[/tex]

Answer:

x = √5.

Step-by-step explanation:

By Pythagoras:

x^2 = (√11)^2 - (√6)^2

x^2 = 11 - 6 = 5

x = √5.

need this ASAP! Thank you!

Answers

Answer:

[tex]\displaystyle r = 6 \ cm[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Geometry

Volume of a Cone Formula: [tex]\displaystyle V = \frac{\pi}{3}r^2h[/tex]

r is radiush is height

Step-by-step explanation:

Step 1: Define

Identify variables

V = 120π cm³

h = 10 cm

Step 2: Solve for r

Substitute in variables [Volume of a Cone Formula]:                                    [tex]\displaystyle 120\pi \ cm^3 = \frac{\pi}{3}r^2(10 \ cm)[/tex]Multiply:                                                                                                             [tex]\displaystyle 120\pi \ cm^3 = \frac{10\pi}{3}r^2 \ cm[/tex][Division Property of Equality] Divide  [tex]\displaystyle \frac{10\pi}{3} \ cm[/tex]  on both sides:                      [tex]\displaystyle 36 \ cm^2 = r^2[/tex][Equality Property] Square root both sides:                                                    [tex]\displaystyle 6 \ cm = r[/tex]Rewrite:                                                                                                             [tex]\displaystyle r = 6 \ cm[/tex]

Answer:

Radius of cone is 6 cm

Step-by-step explanation:

[tex]\sf\small\underline\purple{Given:-}[/tex]

[tex]\sf{\leadsto Volume\:_{(cone)}=120π \:cm^3}[/tex]

[tex]\sf{\leadsto \: Height\:_{(cone)}=10 cm}[/tex]

[tex]\sf\small\underline\purple{To\: Find:-}[/tex]

[tex]\sf{\leadsto Radius\:_{(cone)}=?}[/tex]

[tex]\sf\small\underline\purple{Solution:-}[/tex]

To calculate the radius of cone . Simply by applying formula of volume of cone. As given in the question that height is 10 cm and it's volume is 120 π cm³.

[tex]\sf\small\underline\purple{Calculation\: begin:-}[/tex]

[tex]\sf{\leadsto Volume\:_{(cone)}=\dfrac{1}{3}\pi\:r^2\:h}[/tex]

[tex] \small \sf \leadsto volume \: of \: cone \: = \frac{1}{3} \pi \times r {}^{2} h \\ [/tex]

[tex] \small \sf \leadsto \: 120 π cm³ \: = \frac{1}{3} \times\pi r {}^{2} \times 10cm \\[/tex]

[tex] \small \sf \leadsto \: 120 π cm³ \: = \frac{10 \: \pi\: cm}{3} \: r {}^{2}[/tex]

[tex] \small \sf \leadsto \frac{ 120\pi \: cm {}^{3} \times 3}{10\pi \: cm} \: = r {}^{2} \\ \\ [/tex]

[tex] \small \sf \leadsto \frac{360\pi cm {}^{3} }{10\pi \: cm} = \: r {}^{2} \\ [/tex]

[tex]\small \sf \leadsto 36 \:cm {}^{2} = r {}^{2} [/tex]

[tex]\small \sf \leadsto \sqrt{36 \: cm {}^{2} } = \sqrt{r {}^{2} } [/tex]

[tex]\small \sf \leadsto6cm = r[/tex]

if you give me the correct answer then I will mark as brainliest​

Answers

It's is b cause it is and yeah

Answer:

a

Step-by-step explanation:

If a is an odd number, b is not divisible by 3 and LCM of a and b is P, what is the LCM of 3a and 2b?

Answers

Answer:

The LCM of 3a and 2b = 6P

Step-by-step explanation:

LCM of  3 a  and  2 b  will be  6 p

Since  a  is odd, which means it's not divisible by 2. Therefore a can be number 1, 3, 5, 7, 9, 11, .......

b  is not divisible by  3, which means b can be number 1, 2, 4, 5, 7, 8, 10, 11, .....

LCM of a and b is P

Factors of 2b can be 2 multiplied by (1, 2, 4, 5, 7, 8, 10, 11, ..... )  

Factors of 3a can be 3 multiplied by (1, 3, 5, 7, 9, 11, .......)

So, to get the LCM of 3a and 2b, since we already show the factors of a and b, Then, 3 X 2 X P (remember P is the LCM of a and b)

The LCM of 3a and 2b = 6P

       

What is the length of the hypotenuse of the right triangle? Enter your answer in the box.

image

Answers

Answer:

10 ft

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

let h be hypotenuse, then

h² = 6² + 8² = 36 + 64 = 100 ( take the square root of both sides )

h = [tex]\sqrt{100}[/tex] = 10

The hypotenuse is 10 ft

Answer:

the answer is 10 but you can ask your friends too

Step-by-step explanation:

h=p2+b2

root under 8 square +6 sqaure

root under 64±36

root Under 100

equals 10

i uses to learn like this but I'm not sure

Can someone help me?It's urgent and thank you!

Answers

Answer:

x = 4 is the answer

PLease give a brainliest

What are the zeros of the quadratic function
y = 6x2 + 3x - 45

Answers

Answer:

l think

y= x^2

.

.

.

.

..

..

.

.

.

.

Mark Brainliest please

Answer :


x = −3
x = 5/2 = 2.500

Which decimal is equivalent to 4/3

Answers

Answer:

1.33333333333 repeating

Step-by-step explanation:

Hope this helps

Answer:

1.3333

Step-by-step explanation:

Which expression is equivalent to 24x2 – 22x + 5? ​

Answers

Answer:

C: (12x - 5) ( 2x - 1)

Step-by-step explanation:

12 x ( 2x- 1 ) -5  (2x - 1 )

= (12x - 5 ) ( 2x -1)

Hope it helps !

Answer:

12x-5 2x-1

Step-by-step explanation:

This is the correct answer. Answer C

algebra 2 help plsass

Answers

Answer:

A

Step-by-step explanation:

PLS ANSWER CORRECT
I WILL REPORT OR BAN YOU IF INCORRECT
I WILL MARK HIM BRAINLIST AND RATE 5 WHO ANSWERS CORRECT
THANKS A LOT​

Answers

Step-by-step explanation:

The AB is equal to AC because They are straight lines that both came from the same point Which is A. which shows congruecy or similarity

A circle has a radius of 6cm. What is the area of a sector subtended by an angle of 30 degrees

Answers

Answer:

1/12 of the area of the circle

Step-by-step explanation:

Since the total angle measure of a circle is 360 degrees, a 30 degree sector is 30/360=1/12

Instructions: Find the slope of the line through the points (-13, 16) and (-13, 12). Make sure to simplify
fractions and enter your answers with a foward slash (i.e. "/"). If the slope is undefined enter "undefined.

Answers

Answer: undefined

Step-by-step explanation:

Using the slope formula: (y^2 - y^1)/(x^2 - x^1), we can fill in the points:

(12 - 16)/(-13 - - 13) = -4/0

We can’t have a denominator of zero, so this is undefined.

Math question too tough for me, for every math question, i have to ask

Answers

Answer:

I'm pretty sure that the answer is 55.

Sorry if I'm wrong.

The answer should be $55. Explanation if you take $440 you divide it into 8 you get $55. Please tell me if my answer is wrong if correct please mark brainleist

Miguel made $286 for 13 hours of work.
At the same rate, how much would he make for 7 hours of work?

Answers

Answer:

Step-by-step explanation:

The key here is to find out how much he makes per hour. We can find that out using the info given.

286 = 13x so

x = 22 dollars per hour. For 7 hours of work then,

7(22) = $154

The person above is absolutely right and I agree with it! You could also find the unit rate this way:
Find the unit rate of dollars per hour:
286 ÷ 13 = 22
So the unit rate is $22 per hour of work

Either way, the answer is right
Hope this helps!


-y-22-13




6< X/2-2


I need help solving both

Answers

Answer:    The first one is y≤11 and the second question is x>16 Hope that helps Goodbye!

Step-by-step explanation:  1. Add 22 to both sides.

-13+2

−y≥−13+2

2 Simplify  -13+2−13+2  to  -11−11.

-y\ge -11

−y≥−11

3 Multiply both sides by -1−1.

y\le 11

y≤11

1 Add 22 to both sides.

6+2<\frac{x}{2}

6+2<  

2

x

 

2 Simplify  6+26+2  to  88.

8<\frac{x}{2}

8<  

2

x

 

3 Multiply both sides by 22.

8\times 2<x

8×2<x

4 Simplify  8\times 28×2  to  1616.

16<x

16<x

5 Switch sides.

x>16

x>16

can someone help me with this please

Answers

Answer:

I have no clue

Step-by-step explanation:

1. Search online

2. Never count on me again!

What is cramer's rule ??

Answers

Cramer's rule is an explicit formula for the solution of a system of linear equations. That has many equations as unknowns and valid whenever the system has a unique solution. 

Answer:

Cramer's rule is an explicit formula for the solution of a system of linear equations with as many equations as unknowns, valid whenever the system has a unique solution.

Given: AD diameter of Circle P. If m 1 = 40°, then m AB = A)80 B)40 C)20

Answers

Answer:

20

Step-by-step explanation:

lol

Answer:

20

Step-by-step explanation:

In converting 14 hours to minutes, what unit (omit the number) would you
place in the denominator of your ratio? Use the plural form in your answer.
Remember that there are 60 minutes in 1 hour.

Answers

Answer:

The unit I would place in the denominator of my ratio is minutes

Step-by-step explanation:

1 hour = 60 minutes

Converting 14 hours to minutes

= 14 hours/ x minutes = 1 hour /60 minutes

x minutes = 14 × 60 minutes

= 840 minutes

14 hours = 840 minutes

Therefore,

The unit I would place in the denominator of my ratio is minutes

Volume How many fluid ounces are in each size?



1 cup = 8 oz. 1pint = 2 cups. 1 quart = 2 pints. 1 gallon = 4 quart



1 Quart = _________fl oz

Answers

Answer:

32

Step-by-step explanation:

a quart is four cups 8,16,24,32 so 32

Answer: 1 Quart is equal to 32 fluid ounces (oz).

Step-by-step explanation:

Q 18. Find the volume of a cylinder of diameter = 4 mm & height = 8 mm. Round to the nearest tenth if necessary. *
A. V= 131.1 mm^3
B. V= 116.9 mm^3
C. V= 100.5 mm^3
D. V= 230.0 mm^3

Answers

Answer: 100.5

Step-by-step explanation:

multiply 3.14 by 2 to the 2nd power by 8. so first 2 to the second power is 4. Then 4x8 is 32. Final step is to multiply 3.14 by 32 to get 100.48. Then you gotta round to get 100.5.

Which sequence is generated by the function f(n + 1) = f(n) – 2 for f(1) = 10?

Answers

Answer: The sequence generated is 10, 8, 6, 4, 2, ...

This sequence is arithmetic with starting term 10 and common difference -2. This means we add -2 to each term to get the next one (same as subtracting 2 from each term). This common difference is directly connected to the -2 from the recursive rule f(n+1) = f(n)-2

Whatever the nth term f(n) is, we subtract off 2 to get f(n)-2 to get the f(n+1) term, which is right after the nth term.

Answer:

Step-by-step explanation:

f(1)=10

n=1

f(1+1)=f(1)-2

f(2)=10-2=8

n=2

f(2+1)=f(2)-2

f(3)=8-2=6

n=3

f(3+1)=f(3)-2

f(4)=6-2=4

so sequence is 10,8,6,4,...

PLEASE HELP: Click on the graph to choose the correct answer to the equation.


y > 2

(Choose one of the graphs from the image as the answer)

Answers

Answer:

The 8th graph.

Step-by-step explanation:

It has a horizontal line over two which indicates that the y axis is known and over 2.

The required graph of the given inequality y > 2 is shown in the attached file, which is the correct answer that would be an option (H).

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

We have been the given  inequality y > 2

Plot the "y=" line (a solid line for y or y, and a dashed line for y or y>). The shade above the line for a "greater than" (y> or y), or below the line for a "less than" (y or y).

It has a horizontal line over two which represents that the y-axis is known and over 2 in the attached graph.

Therefore, the required graph of the given inequality y > 2 is shown in the attached file.

Hence, the correct answer would be option (H).

Learn more about inequalities here:

brainly.com/question/20383699

#SPJ2

Can some one help me with the rest of this chapter! I’ll pay them as-well!

Answers

Answers:

a = 475r = -0.5f(3) = 59.4

=======================================================

Explanation:

Any exponential function is of the form y = a*b^x

Comparing that to y = 475*(0.5)^x, we see that a = 475 and b = 0.5

Set b equal to 1+r and solve for r

1+r = 0.5

r = 0.5-1

r = -0.5

The negative r value tells us that the growth rate is -50%, in other words, we have a 50% decay rate. The amount drops by 50% each time x goes up by 1. This is the same as saying the amount cuts in half each time x goes up by 1.

-----------------------

Lastly, plug in x = 3 to find f(3)

f(x) = 475(0.5)^x

f(3) = 475(0.5)^3

f(3) = 59.375

f(3) = 59.4

Given the linear equation
[tex]5x+3y-9=0[/tex]
.​

Answers

y=mx +b, alright let’s go.

5x+ 3y -9 = 0
First off, b and mx are on the wrong side so you correct this by adding nine and subtracting 5x.

5x-5x + 3y -9 + 9 = 0 -5x + 9

3y = -5x + 9

you need y not 3y so divide 3y by 3 and you have to do it on both sides

3y/3= -5x/3 + 9/3

y= -5/3x + 3 is your answer please check before hand.

write the ordered triple of point C

A. (2,0,0)
B. (0,0,2)
C. (0,-2,0
D. (0,2,0)

Answers

Answer:

D

Step-by-step explanation:

point C is on the y with the value 2 so y=2 and x=z=0

Pls someone help me with this it's urgent!

Answers

Answer : square root of x - 5 ,

the answer the the last option choice.

Answer:

I think it is y=√x -5

Step-by-step explanation:

if clt 5wont go with √x

SUPER IMPORTANT AND I NEED HELP 30 points if you answer
Polygon Y is a scaled copy of Polygon X using a scale factor of 1/3
Polygon Y's area is what fraction of Polygon X's area?

Answers

Answer:

1/9th

Step-by-Step Explanation:

The area is measured in units squared, then you have to square 1/3 which is 19th.

Answer:

1/9

Step-by-step explanation: i think so

It costs a homeowner $4.00 to rent a set of hand tools, plus an additional
$2.00 per hour for the rental. The function that models the cost, c, of renting
tools for h hours is c = 2h + 4.
On a piece of paper, graph the function. Then determine which answer choice
matches the graph you drew.

Answers

Answer:

The correct graph answer is A.

Step-by-step explanation:

Let

c ----> the total cost to rent a set of hand tools

h ----> the number of hours for the rental

we know that

The linear equation that represent the problem is equal to

---> this is the equation of the line into slope intercept form

where

the slope m is equal to

m=$2 per hour

b=$2 ---> the y-intercept (the value of c when the value of h is equal to zero)

therefore

The correct graph is A.

B. C. and D. are incorrect

Other Questions
What is the best way to determine family relationship between two individuals?a. Comparing their blood types.b. Comparing their genes.c. Comparing their fingerprints.d. Comparing their appearances Como es el narrador de este relato? unequal length of day and nightRotation or Revolution Whats the difference between rocks, minerals and crystals? What advice would you give someone who thought s/he might have a STI? Complete what he says with the correct forms of the adjectives from the list. Not all words will be used, but do not repeat one that you use:aburridocreativopacificosensiblealegreImaginativopositivo Mis amigos y yo somos (1)pasamos tiempo hablando o mirando peliculas. Salimos tambin, pero nos gusta ir a comer o a caminar en un parque, pero no te equivoques (make no mistake) no somos nada (2) Por ejemplo, mi amiga Natalia es artista y es muy (3)Le gusta pintar murales, y a veces ayudamos. Mi amigo Bryan es la persona ms (5)que conozco. Nunca, literalmente nunca, est de mal humor (mood); le gusta hacer felices a todas las personas. Tenemos una amiga que es muy (6) y a veces causa problemas porque es fcil ofenderla, pero en general todos somos (7); es decir, optimistas porque pensamos que el vaso est medio lleno (the glass is half full) The ratio of cups mixed nuts to cups of granola is The term agility as a physical fitness skillis, is best described as the ability to.....A.Keep an upright posture while standing or moving effectively B.Combine the use of the senses and body parts C.Quickly change and control body position and movementsD.Use strength with speed A farmer finds there is a linear relationship between the number of bean stalks, n, she plants and the yield, y, each plant produces (in ounces). When she plants 30 stalks, each plant yields 30 oz of beans. When she plants 34 stalks, each plant produces 28 oz of beans. Find an equation that gives the yield y when n stalks are planted. A die is rolled twice. What is the probability of showing a 3 on the first roll and an even number on the second roll? What is the greatest common factor of 35 and 45? How do the process of DNA replication and the laws of inheritance help cells and individuals pass on theirtraits? The sum of the first eight terms in a Geometric Series is 19680 and the sum of the first four terms is 240. A) Find the first term. B) Find the common ratio. C) Justify your answers by showing steps that demonstrates your answers generate S8=19680 and S4=240. What is the equation of the line that is perpendicular to the given line and passes through the point (5, 3)? A.) 4x - 5y = 5 B.) 5x + 4y = 37 C.) 4x + 5y = 5 D.) 5x - 4y = 8 What is meant by Vetebral Column? Matilda and Lorraine work in the mail room of a large company sorting letters. Matilda has already sorted 50 letters and continues sorting at a rate of 50 letters per hour. Lorraine has already sorted 80 letters and continues sorting at a rate of 40 letters per hour.Which function can Matilda and Lorraine use to determine the total number of letters they have sorted after x hours? How many letters will they have sorted after 6 hours?A. The function that describes the total number of letters sorted by Matilda and Lorraine in x hours is given by f(x) = 100x + 120. Thus, they will have sorted 720 letters in 6 hours.B. The function that describes the total number of letters sorted by Matilda and Lorraine in x hours is given by f(x) = 90x + 130. Thus, they will have sorted 670 letters in 6 hours.C. The function that describes the total number of letters sorted by Matilda and Lorraine in x hours is given by f(x) = 130x + 90. Thus, they will have sorted 870 letters in 6 hours.D. The function that describes the total number of letters sorted by Matilda and Lorraine in x hours is given by f(x) = 90x + 30. Thus, they will have sorted 570 letters in 6 hours. WILL MARK AS BRAINLIEST. PLS HELPRead the passage below and write an essay on the following topicWhat programmes can schools organise to develop strength of character and resilience in our students? A ball is thrown straight up into the air with a speed of 13 m/s. If the ball hasa mass of 0.25 kg, how high does the ball go? Acceleration due to gravity is g = 9.8 m/s2A. 9.2 mB. 8.6 mC. 10.4 mD. 9.9 m The distance traveled (in meters) by an insect is modeled by the equationd=0.3t where d is the distance traveled in meters and t is the time in minutes.Find the distance traveled in 26.3 minutes.A. 0.789 metersB. 7.89 metersC. 26 metersD. 87.67 meters Summer 20 Corp estimates overhead based on direct labor hours and has given you the following information: Estimated Manufacturing Overhead Costs 2020 $405,000 Estimated Direct Labor Hours for 2020 220,000 Actual Direct Labor Hours for 2020 202,000 Manufacturing Overhead Account Debit Entries total $380,000 1. Determine the predetermined overhead allocation rate stated with cents. 2. Determine the amount of manufacturing overhead that was allocated. 3. Calculate the amount Summer 20 Corp is over or under allocated during the year.