Angela is playing with red and black marbles. The number of red marbles she has is three
more than twice the number of black marbles she has. She has 42 marbles in all. Which
system of equations can be used to find the number of red marbles, R, and black marbles, B?o

Answers

Answer 1

Answer:

We will need two equations, one that adds up to the total number of marbles, and the other which writes one type of marbles in terms of the other.

For the first equation we know that:

[tex]r + b = 42[/tex]

For the second we are told that "The number of red marbles she has is three  more than twice the number of black marbles she has."

So we simply translate this into an equation being:

[tex]r = 2b + 3[/tex]


Related Questions

How can I prove my teacher I’m an advanced kid?

Answers

Answer:

tell them that you would like them to reconsider your level in whatever class that is

Step-by-step explanation:

Answer:

Maybe have good handwriting (if written assignents), double check your questions to make sure they are corect, show all of your work, ask extra questions to show you are paying attention, take notes and try to make sure she/he notices.

Step-by-step explanation:

hope this helped

Apply the distributive property to Factor
and the greatest common Factor 44+48

Answers

The greatest common factor is 4(11+6)

Three statistics professors and seven chemistry professors are available to be advisors to a student organization. The student organization needs two of the professors to be advisors. If each professor has an equal chance of being selected, what is the probability that both professors are chemistry professors?

Answers

Answer:

P[2qp] = 0,467      or    46,7 %

Step-by-step explanation:

The probability of two of seven chemistry professors is equal to:

P[2 qp] = quantity of combinations of seven elements taken in groups of two, over total quantity of events, therefore

The total quantity of combinations is:

3 statistics professors + 7 chemistry professors taken in groups of 2 that is:

Te  = (3 + 7) ! / 2!*(10-2)!

Te = 9!/ 2!*5!        ⇒    Te = 9*8*7*6*5!/2!*8!    ⇒ Te = 9*8!/2*8!

Te = 45

And successful events are:

C₇,₂  =  7!/2!*(7-2)!

C₇,₂  = 21

Finally, the probability that both professors are chemistry professors is:

P[2qp] = 21/45

P[2qp] = 0,467      or    46,7 %

The probability of selecting both professors are chemistry professors will be 0.4667 or 46.67%.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Three statistics professors and seven chemistry professors are available to be advisors to a student organization.

The student organization needs two of the professors to be advisors.

If each professor has an equal chance of being selected.

The probability that both professors are chemistry professors will be

The total quantity of combinations will be

[tex]\rm T = \ ^{10} C _ 2 = 45[/tex]

And successfull events will be

[tex]\rm F = \ ^7C_2 = 21[/tex]

Then the probability will be

[tex]\rm P = \dfrac{F}{T}\\\\\\P = \dfrac{21}{45}\\\\\\P = 0.4667 \ or \ 46.67 \%[/tex]

More about the probability link is given below.

https://brainly.com/question/795909

find the rate of change ffor Y=4/5x-7/5

Answers

Answer:

4/5

Step-by-step explanation:

thats the slope so im assuming

write each precent as a fraction in simplest from. 2%=

Answers

Answer:

1/500

Step-by-step explanation:

Answer:

1/5 i think

Step-by-step explanation:

Sara Moon is a video editor who earns $63,840 annually. She is married, has 2 dependents, and her state tax rate is 4%.

Answers

Answer:

The answer is below

Step-by-step explanation:

Use the Exemption amounts in Figure 2.2 on page 132 to find the (a) amount for exemptions and (b) annual state income taxes.

The exemptions are shown in the image below.

a) We can see that the exemptions for a married person is $4000 and $2000 per dependent. Since there are 2 dependents therefore:

Amount for exemptions = $4000 + (2 dependents × $2000 per dependent)

Amount for exemptions = $4000 + $4000 = $8000

Amount for exemptions = $8000

b) Taxable wages = Annual gross pay - Exemptions

Taxable wages = $63840 - $8000 = $55840

Annual state income taxes = Taxable wages × State tax rate

Annual state income taxes = $55840 × 4% = $2233.6

1. Compare using >,<, or =. d. 24 tenths ______2.5

Answers

Answer:

<

Step-by-step explanation:

[tex]24 \: tenths = \frac{24}{10} = 2.4 \\ \\ 2.4 \: \: \red{\bold{ < }} \: \: 2.5[/tex]

need help with asap!!!!!

Answers

Answer:

it is right triangle so we have trigonometric ratio: tan(54)=3/x and from that we have x=3/tan(54)

What price do farmers get for their watermelon crops? In the third week of July, a random sample of 40 farming regions gave a sample mean of x = $6.88 per 100 pounds of watermelon. Assume that σ is known to be $1.98 per 100 pounds.
(a) Find a 90% confidence interval for the population mean price (per 100 pounds) that farmers in this region get for their watermelon crop. What is the margin of error? (Round your answers to two decimal places.)
lower limit $1
upper limit $2
margin of error $3
(b) Find the sample size necessary for a 90% confidence level with maximal error of estimate E = 0.35 for the mean price per 100 pounds of watermelon. (Round up to the nearest whole number.)
4 farming regions
(c) A farm brings 15 tons of watermelon to market. Find a 90% confidence interval for the population mean cash value of this crop. What is the margin of error? Hint: 1 ton is 2000 pounds. (Round your answers to two decimal places.)
lower limit $5
upper limit $6
margin of error $7

Answers

Answer:

A) Upper limit = 7.39

Lower limit = 6.37

Margin of error = 0.51

B)Sample size = 87

C) Upper limit = 2218.50

Lower limit = 1909.50

Margin of error = 154.50

Step-by-step explanation:

We are given;

x¯ = $6.88 per 100 pounds

σ = $1.98 per 100 pounds

n = 45

A) We want to find a 90% Confidence interval. It means the significance level is; 1 - 0.9 = 0.1

Critical z-value for significance level of 0.1 is z = 1.645

Now, margin of error is;

MOE = zσ/√n

MOE = (1.645 × 1.98)/√40

MOE ≈ 0.51

Confidence interval is;

CI = x¯ ± MOE

CI = 6.88 ± 0.51

CI = ((6.88 + 0.51), (6.88 - 0.51))

CI = (7.39, 6.37)

Upper limit = 7.39

Lower limit = 6.37

B) We are given E = 0.35

Thus;

E = zσ/√n

Rearranging, we have;

n = (zσ/E)²

n = (1.645 × 1.98/0.35)²

n ≈ 87

Sample size = 87

C)We are told that the farm brings 15 tons of watermelon to market.

Also, 1 ton = 2000 pounds

Thus;

15 tons = 15 × 2000 pounds = 30000 pounds

Now this is per 100 pounds.

Thus, we can write as: 30000/100 = 300 pounds

So;

x¯ = 300 × 6.88

x¯ = 2064

σ = 1.98 × 300

σ = 594

Critical z-value for significance level of 0.1 is z = 1.645

Now, margin of error is;

MOE = zσ/√n

MOE = (1.645 × 594)/√40

MOE ≈ 154.50

Confidence interval is;

CI = x¯ ± MOE

CI = 2064 ± 154.50

CI = (2064 + 154.50, 2064 - 154.50)

CI = (2218.5, 1909.5)

Upper limit = 2218.50

Lower limit = 1909.50

Patricia and Emma work together. They both have the same amount of money invested in their portfolios. Their investments are listed in the table. Two months ago, the company Patricia and Emma work for started incurring losses, and now its share price has started falling. Which statement is correct given the scenario?

Patricia’s Investmentscompany stocks, bonds, mutual funds, domestic stocks, and international stocksEmma’s Investmentscompany stocks

A. 

Patricia’s portfolio will be affected the most because she has too many assets in her portfolio.

B. 

Emma’s portfolio will be affected the most because it is limited to company stock.

C. 

Neither portfolio will be significantly affected because both have a good mix of assets.

D. 

Both portfolios will be equally affected because both have an equal amount of company stock.



Answers

Answer:

I believe it would be B, hoped I helped :)

Step-by-step explanation:

The statement that is correct given the scenario is: B. Emma’s portfolio will be affected the most because it is limited to company stock.

Portfolio

Since both of them have the equal money invested in their portfolios in which the company the both work for started incurring losses this tend to means that Emma   portfolio will be affected the most by the loss that was incurred.

The reason why Emma portfolio will be most affected  is because his portfolio is limited to the company stock compare to that of Patricia’s

Therefore the correct option is B.

Learn more about portfolio here:https://brainly.com/question/14986133

#SPJ2

find the slope of each line​

Answers

I don’t think there is one

which of the four triangles efG

Answers

In order to solve this i need the picture of the four triangles. Sorry :/

What's the slop of ( 2.5),(6,13)

Answers

Answer:

2

Step-by-step explanation:

m=y2-y1/x2-x1

13-5=8

6-2=4

8/4=2

hope this helps :3

if it did pls mark brainliest

Slope is 2 simplified or 8 over 4

In a multiple linear regression analysis, statistical model utility is determined by the value of R2 and 2s, while practical model utility is determined by the Global F-test p-value.
a) true
b) false

Answers

Answer:

This statement is true because if F statistics is significant, then the entire multiple regression model is useful for the prediction of y.

Step-by-step explanation:

Solution:

In a multiple linear regression analysis, the statistical model utility is determined by the value of R2 and ∂2, while the Global F test p-value determines the practical model.

This statement is true because if F statistics is significant, then the entire multiple regression model is useful for the prediction of y.

The F test is a statistical test that is very flexible. F test can evaluate multiple model terms.

The F test indicates whether a linear regression model provides a better fit to data than a model that contains no independent variable.

The F test for overall significance has two hypotheses:

1- Null hypothesis:

                              The fit of the intercept only model and your model are equal.

2- Alternative hypothesis:

                               The fit of the intercept-only model is significantly reduced compared to your model.

Compare p-value for the F test,

If the p-value is less than the significance level, the sample data provide sufficient evidence  that the regression model fits the data better with no independent variable.

Please help me out. A square has an area of 90 square inches. Which two consecutive integers does a side length of the square fall between?


The side length of a square with an area of 90 square inches falls between the integers
A and
B .

Answers

Answer:

9 and 10

Step-by-step explanation:

Area of a square = s², where s = side length

Given that the square has an area of 90 in², the side length (s) of the square = √90.

Thus, 90 is not a perfect square and it's square root won't give us an integer.

Thus, √90 lies between two perfect squares namely, 81 and 100.

Therefore, the side length of the square would be:

√81 < √90 < √100

9 < √90 < 10.

The side length of the square lies between 9 and 10.

Answer:

9 and 10

Step-by-step explanation:

How many solution does 8(3x-6=6(x+8) have

Answers

Answer:

Step-by-step explanation:

at most 1.

8(3x - 6) = 6(x + 8)

24x - 48 = 4x + 48                   Subtract 4x

24x - 4x - 48 = 4x -4x + 48      Combine

20x - 48 = 48                           Add 48 to both sides.

20x = 96                                 divide by 20

x = 96/20

x = 4.8

No other answer is possible.    

Graph the linear function f(x) = 3 – 6x .

Answers

Answer:

put one point at (0,3)

put another point at (1,-3)

draw a line between them

Step-by-step explanation:

could u vote me brainliest plz? thx :)

The standard formula for calculating the equation of a line is expressed as

y = mx + b

m is the slope of the line

b is the y-intercept of the line

Given the equation to graph expressed as g(x) = 3 - 6x

First, we need to get the x and y-intercept of the line expressed as:

For the x-intercept, y = 0

0 = 3 - 6x

6x = 3

x = 0.5

The x-intercept is at (0.5, 0)

For the y-intercept, x = 0

y = 3 - 6(0)

y = 3

The y-intercept is at (0, 3)

Plot the graph of a line passing through the coordinate points (0.5, 0) and (0, 3) as shown below;

Learn more here: https://brainly.com/question/17003809

Jamal buys 33 bolts that cost $0.38 each,hich equation represents the best estimate for the total cost of all of the bolts

Answers

Answer:

12.54

Step-by-step explanation:

what is the length of the missing side , x

Answers

could you post a pic of what the problem you’re trying to figure out??

Answer:

Yes please i really need it

Step-by-step explanation:

5) h(n) = -2n^2+ 4; Find h(4)

Answers

Answer:

h(4) = -28

General Formulas and Concepts:

Substituting into functions

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

h(n) = -2n² + 4

h(4) is n = 4

Step 2: Solve

Substitute:                    h(4) = -2(4)² + 4Exponents:                   h(4) = -2(16) + 4Multiply:                        h(4) = -32 + 4Add:                              h(4) = -28

Suppose that you are attempting to estimate the annual income of 1700 families. In order to use the infinite standard deviation formula, what sample size, n, should you use

Answers

Answer:

Sample size should be less than 85

Step-by-step explanation:

Sample size should be less than 85

Step-by-step explanation:

To use the infinite standard deviation formula, n has to be <= (0.05)(1700)

n <= 85

So the sample size has to be less than 85

In another way too,

n = sample size

N = population size

For population, we multiply correction factor to the infinite standard deviation

F is <= 0.05

[tex]n/{N} <0.05[/tex]

n<0.05x1700

n<85

Sample size should be less than 85

8. The 2003 Zagat Restaurant Survey provides food, decor, and service ratings for some of the top restaurants across the United States. For 15 top-ranking restaurants located in Boston, the average price of a dinner, including one drink and tip, was $48.60. You are leaving for a business trip to Boston and will cat dinner at three of these restaurants. Your company will reimburse you for a maximum of $50 per dinner. Business associates familiar with these restaurants have told you that the meal cost at one-third of these restaurants will exceed $50. Suppose that you randomly select three of these restaurants for dinner. a) What is the probability that none of the meals will exceed the cost covered by your company

Answers

Answer:

0.2637

Step-by-step explanation:

Population size is top 15 ranking restaurants.

Number of draws = 3

Number of observed successes = 5

Probability formula :  [r . x } { n -r] [n - x]

solving the equation we get 24 / 91 which is approximately 0.2637

Jasmine drives every morning to her office that is 12 miles from her home.
c

Suppose Jasmine drives from home to the office in 20 minutes. Use this information and part (b) to write an equation. QUICK RSM HELL EMERGENCY DUE TOMARO

Answers

Answer:

d = 36t

Step-by-step explanation:

We need to calculate the speed of Jasmine first as shown:

Speed = Distance/Time

Given:

Distance = 12miles

Time = 20mins

Time = 20/60 hr

Time = 1/3 hr

Speed = 12/(1/3)

Speed = 12 * 3/1

Speed = 38mi/hr

From the formula:

S = d/t

To get the equation needed, substitute s = 36 into the formula:

36 = d/t

d = 36t

Hence the required equation is d = 36t where d is the distance in miles and time in hour

Answer:

36

Step-by-step explanation:

Consider a value to be significantly low if its z score less than or equal to -2 or consider a value to be significantly high if its z score is greater than or equal to 2.

A data set lists weights​ (grams) of a type of coin. Those weights have a mean of 5.37215 g and a standard deviation of .05421 g. Identify the weights that are significantly low or significantly high.


What weights are significantly​ low? ​(Round to five decimal places as needed. Use ascending​ order.)

What weights are significantly​ high?

​(Round to five decimal places as needed. Use ascending​ order.)

Answers

Answer:

z₁ = 5,361308     this value, and values below this value, should be considered significantly low

z₂ = 5,48057   this value, and values above this value, should be considered significantly high

Step-by-step explanation:

z (score) = z₁ - μ₀ / σ

where μ₀  is mean   and σ the standard deviation.

if z (score) is equal to -2  ( or less) then

-2  = (z₁ - 5,37215)/0,05421

( -2 )*0,05421 = z₁ - 5,37215

- 0,10842 = z₁ - 5,37215

z₁ = 5,37215 - 0,010842

z₁ = 5,361308    

And if z = 2

2* 0,05421 = z₂ -  5,37215

0,10842 = z₂ - 5,37215

z₂ = 5,37215 + 0,10842

z₂ = 5,48057  

Can an opposite and an absolute value of an integer be the same?

Answers

Answer:

yes they can be the same

Step-by-step explanation:

yes

Which sentence is true is 0.45<0.5

Answers

0.45 is smaller than 0.5 so the answer is false that isn’t a correct statement!

True.

When you break it down, it's 0.45 compared to 0.50, so 0.5 is greater than 0.45 by 0.05. Also, 0.5 is closer to 0.

16 less than a number r divided by 8

Answers

Answer:r/8>16

Step-by-step explanation:

r/8-16

It says 16 less, so we have to subtract 16 from r divided by 8.

That would be r/8-16.

Explain! Which one is correct?

Answers

Answer:

C) $5/1 ticket

Step-by-step explanation:

$80 for 16 tickets is $5 for 1 ticket. We can find this by just simply dividing 80/16 together to get 5.

13(6x – 5) – x = 13 – 2(x + 1)

Answers

Answer:

x= 76/79

Step-by-step explanation:

isolate the variable by dividing each side by factors that don't contain a variable (x).

In a sample of 1000 U.S. adults. 217 think that most celebrities are good role models. Two U.S. adults are selected from this sample without replacement.


Find the probability that both adults think most celebrities are good role models

(Round to three decimal places as needed.)


Find the probability that neither adult thinks most celebrities are good role models

(Round to three decimal places as needed.)


Find the probability that at least one of the two adults thinks most celebrities are good role models

(Round to three decimal places as needed)

Answers

Answer:

(a) 0.047

(b) 0.613

(c) 0.387

Step-by-step explanation:

In a sample of 1000 U.S. adults 217 think that most celebrities are good role models.

The proportion of U.S. adults who think that most celebrities are good role models is, p = 0.217.

Two U.S. adults are selected from this sample without replacement.

Let X denote the number of U.S. adults who think that most celebrities are good role models.

Both the individuals are independent of each other.

The random variable X follows a binomial distribution with parameters n = 2 and p = 0.217.

The probability mass function of X is:

[tex]P(X=x)={2\choose x}(0.217)^{x}(1-0.217)^{2-x};x=0,1,2[/tex]

(a)

Compute the probability that both adults think most celebrities are good role models as follows:

[tex]P(X=2)={2\choose 2}(0.217)^{2}(1-0.217)^{2-2}\\=1\times 0.047089\times 1\\=0.047[/tex]

Thus, the probability that both adults think most celebrities are good role models is 0.047.

(b)

Compute the probability that neither adult thinks most celebrities are good role models as follows:

[tex]P(X=0)={2\choose 0}(0.217)^{0}(1-0.217)^{2-0}\\=1\times 1\times 0.613089\\=0.613[/tex]

Thus, the probability that neither adult thinks most celebrities are good role models is 0.613.

(c)

Compute the probability that at least one of the two adults thinks most celebrities are good role models  as follows:

[tex]P(X\geq 1)=1-P(X<1)\\=1-P(X=0)\\=1-0.613\\=0.387[/tex]

Thus, the probability that at least one of the two adults thinks most celebrities are good role models  is 0.387

Other Questions
Write a description of the receiver in the book ''the giver'' Convert 0.04% to a decimal.1 ill mark brainlest! pls help! :/ Which of the following best describes open-source code software?O A. a type of software that is open to the public and can be modifiedB. a type of software that is free to download, but cannot be modified C. a type of software that is locked, but can be modifiedD. a type of software that has already been modified What type of connection can you make between markups and tips or taxes? What type of connection can you make between markdowns and discounts? Explain your answer. Can someone help me confused on how to solve but it might be easy I just think I'm dumb Which of the following is not an example of an unmarked handshape?ABS1 1. A baseball is thrown horizontally at 45 m/s. The ball slows down at a rate of 5 m/s?a. How long is the ball in the air before coming to rest?b. How far did the ball travel in that time?2. A car starts from rest and accelerates at 9.54 m/s? for 6.5 seconds.a. How much distance was covered by the car?b. What was the final velocity of the car?3. An arrow leaves a bow with a speed of 42 m/s. Its velocity is reduced to 34 m/s by the time ithits its targeta. What was the acceleration of the arrow?b. How much distance did the arrow travel over if it were in the air for 2.4 seconds?c. What was the average velocity of the arrow?4. A ball starts from rest and rolls down a hill with a constant acceleration of 3.0 m/s?.a. What is its speed at the end of 4.0 s?b. How far did the ball move in that 4.0 s? help with this please Select the word problem that can be modeled by the addition of two negative numbers. A Polly bought a cracker for $4 and then bought a parrot for $3. By how much did Polly's account change after her transactions? B Marcus sold a cat for $9 and then bought a plant for $4. By how much did Marcus's account changed after his transactions? C Virginia sold her pottery for $5 and then sold a hat for $2. By how much did Virginia's account change after her transactions? D Amir bought a VCR for $8 and then resold it for $9. By how much did Amir's account change after his transactions? British troops were looking for arms along the __Boston trailsPowder ExpeditionMystic RiverAppalachian MountainsConcord roads please answer this The cost of 2.5 pounds of cheese is $5.60. D. How could you find the cost for 5 pounds of cheese without finding the cost per pound? Type your answer in the box. What economic practices introduced by the Chinese facilitated trade and economic growth? Solve for x in the equation x squared + 10 x + 12 = 36.x = 12 or x = 2x = 11 or x = 1x = 2 or x = 12 21Select the correct answer.Which citation style is used in literature?.APAOB.AMA.ChicagoOD.MLA Identify whether the function f(x)= -3.2^1/6 is a monomial function, power function, both, or neither?A.) BothB.) MonomialC.) PowerD.) Neither How do modern people typically learn about what's happening in the world? An object dropped from rest and falls a distance of 80 m.What is the objects displacement HELP PLEASE WITH THIS MATH PLS After Fortunato is buried alive, he thinks for a moment that a, it is all a joke b. he hasdeserved it c. the narrator is the one buried d. it is part of a bet