A bag contains 6 red tiles and 15 yellow tiles. Lilia removes 2 red tiles. How many
yellow tiles should she remove so that the ratio of red tiles to yellow tiles in the
bag stays equivalent to 6:15? Show your work.

Answers

Answer 1

Answer:

I would remove 5 yellow tiles.

Step-by-step explanation:

If the beginning ratio was 6:15, I would start by finding the ratio of 1 red tile to ? yellow tiles. By multiplying 1 by 15, giving you 15, and dividing 15 by 6, I would find out that 1 red tile is equal to 2.5 yellow tiles. I would then set up an equation so there is 1/2.5 = 4/?, the 4 being the remaining red tiles after removing 2. I would then find the yellow tiles by multiplying whatever number the 1st numerator can be multiplied by to equal the 2nd numerator. Basically, I know that 1 multiplied by 4 is equal to 4, so I would multiply 2.5 by 4, which is equal to 10. Now that I know 4 red tiles is equal to 10 yellow tiles, I would remove 5 tiles to keep the ratio equivalent to 6:15

HOPE THIS HELPS :)


Related Questions

find the missing segment below brainly

Answers

Let missing side be x

Using basic proportionality theorem

[tex]\\ \sf\longmapsto \dfrac{6}{4}=\dfrac{x}{20-x}[/tex]

[tex]\\ \sf\longmapsto 6(20-x)=4x[/tex]

[tex]\\ \sf\longmapsto 120-6x=4x[/tex]

[tex]\\ \sf\longmapsto 120=6x+4x[/tex]

[tex]\\ \sf\longmapsto 120=10x[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{120}{10}[/tex]

[tex]\\ \sf\longmapsto x=20[/tex]

Kofi is 3 years older than Ama.If Ama is now x years old, what is kofi age​

Answers

Answer:

x+3

Step-by-step explanation:

Kofi is 3 years older than Ama, so the answer is "x+3".

There are 1000 students in a college.Out of 20000 in the whole university in a study of 200 were found to be smokers in the college and 1000 in whole university. Is there any significant difference between the proportion of smokers in college and university​

Answers

Answer:

1000 students in college

2000 students in University

200 out of 2000 are smokers

200 out 1000 are smokers

200 : 2000

1 :10

200 : 1000

1 : 5

Relate what you know about simplifying expressions to what you know about
factoring. For example, before you can factor 12x + 20y + y, you need to simplify it.
Explain why.

Answers

Because there is y since they are the same alphabetical letters they can be added such that 12x+21y.

Please help do in an hour

Answers

Answer:

-4

Step-by-step explanation:

a1 = -8

an = an-1 +2

a2 = a1+2 = -8+2 = -6

a3 = a2+2 = -6+2 = -4

where are parabolas on your hand?

Answers

parabolas are there on my hand palms and it must be there on your hands too but why are you asking this question?

represent - 8,5 - 2 on a number line​

Answers

Answer:

I hope this helps

you have to.first draw a number line and mark where the given numbers are

integrate with respect to x 2tanx secant^2x/(1+ tan²x)

Answers

[tex] \displaystyle \int \bf \: \frac{2 \: tan \: x. {sec}^{2} \: x }{1 + {tan}^{2} \: x } \: \: dx \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ = 2 \displaystyle \int \bf \: \frac{tan \: x \: . \: \cancel{ {sec}^{2} \: x}}{ \cancel{ {sec}^{2} \: x}} \: \: dx \: \: \: \: \pink{ \{ \because \: {sec}^{2} \: x - {tan}^{2} \: x = 1 \}} \\ \\ = 2 \displaystyle \int \bf \: tan \: x \: \: dx \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ = 2 \displaystyle \int \bf \: \frac{sin \: x}{cos \: x} \: \: dx \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ = - 2 \displaystyle \int \bf \: \frac{ - \: sin \: x}{ \: cos \: x} \: \: dx\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ = \bf \: - 2 \ln \: |cos \: x| + c\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \green{ \{ \because \: \displaystyle \int \bf \: \frac{ {f}^{′} (x)}{f(x)} \: dx = \ln \: |f(x)| + c \}}[/tex]

Find the area of the sector round your answer to the nearest 10th

Answers

9514 1404 393

Answer:

  398.2 cm²

Step-by-step explanation:

The area of the whole circle is ...

  A = πr²

  A = π(13 cm)² = 169π cm²

The 270°  sector is 3/4 of the whole circle, so its area is ...

  sector area = (3/4)(169π cm²) ≈ 398.2 cm²

16. Find the equation of the line that has slope m = 1/2 and passes through (4, 10).
Give your answer in slope-intercept form

Answers

Answer:

Step-by-step explanation:

Recall that the equation of a line is y = mx + b.

Excellent. Let's plug in the values we are given into the general equation for a line. We get 10 = 1/2 * 4 + b.

Simplify to 10 = 2 + b, and we get b = 8.

Our final equation, then, is y = 1/2 x + 8.

Hope this helps!

Find the measure of the incanted angle to the nearest degree

Answers

Answer:

Sinx = 21/40

x = inverse of sin (21/40)

x= 31.6682

hope u got it

Answer:

31.6 degrees

Step-by-step explanation:

sin-¹(p/h) = 31.6

Suppose you are starting your own company selling chocolate covered strawberries. You decide to sell the milk chocolate covered strawberries for a profit of $2.25/box and the white chocolate covered strawberries at $2.50/box. Market tests and available resources, however, have given you the following constraints. The combined production level should not exceed 800 boxes per month. The demand for the white chocolate is no more than half the demand for milk chocolate strawberries. The production level for white chocolate should be less than or equal to 200 boxes.

Using the information in the problem, write the constraints. Let x represent number of milk chocolate boxes produced, and y represent number of white chocolate boxes produced.

Total number of chocolate boxes that can be produced: x+y Answer

Answer
800

Restrictions based on demand of each: y Answer
Answer
200
x

Maximum amount of white chocolate production: y Answer

Answer
200

Minimum amount of milk chocolate production: x Answer
Answer

Minimum amount of white chocolate production: y Answer
Answer

Vertices of the feasible region: (0,0)(400, Answer
)( Answer
, Answer
)( Answer
,0)

Optimization equation: Profit = Answer
x+ Answer
y

Your maximum profit is $ Answer
. You should produce Answer
boxes of milk chocolate and Answer
boxes of white chocolate.

Answers

Answer:

Step-by-step explanation:

I answered this question in question #24285520

Answer:

Step-by-step explanation:

Total number of chocolate boxes that can be produced: x+y Answer

Answer

800

Restrictions based on demand of each: y Answer

Answer

1/2

x

Maximum amount of white chocolate production: y Answer

Answer

200

Minimum amount of milk chocolate production: x Answer

Answer

0

Minimum amount of white chocolate production: y Answer

Answer

0

Vertices of the feasible region: (0,0)(400, Answer

200

)( Answer

600

, Answer

200

)( Answer

800

,0)

Optimization equation: Profit = Answer

2.25

x+ Answer

2.5

y

Your maximum profit is $ Answer

1850

. You should produce Answer

600

boxes of milk chocolate and Answer

200

boxes of white chocolate.

Use the Unit Circle to find the exact value of the trig function. Cos(45)

1/2
√2/2
√3/-2
1

Answers

In a unit circle a line reaching from origin to the circle's circumference specifies the trigonometric functions.

A point where the line which comes from origin to the circumference intersecting it has coordinates [tex](\cos\theta,\sin\theta)[/tex].

In our case [tex]\theta=45^\circ[/tex] which lifts the line up by 45 degrees and makes it intersect circumference at [tex](\cos45^\circ,\sin45^\circ)[/tex].

In the upper right quadrant the angle between x and y axis is 90 degrees so a line coming in at angle of 45 degrees would split the quadrant in half, that means sine and cosine 45 degrees will be equal.

As you may noticed a point has coordinates cos, sin which means the distance between 0 and y coordinate where the point on a circle is, is called [tex]\cos\theta=\cos45^\circ[/tex].

Because cosine 45 degrees is so simple in interpretation it has a known value of [tex]\cos45^\circ=\sin45^\circ=\frac{\sqrt{2}}{2}[/tex].

Hope this helps :)

Which of the following is NOT a requirement for testing a claim about two population standard deviations or​ variances? A. The populations are independent. B. One of the populations is normally distributed. C. The two samples are simple random samples. D. This test requires that both populations have normal distributions.

Answers

Answer:

B. One of the populations is normally distributed.

Step-by-step explanation:

To test a claim about two population standard deviation or variance, it is imperative that the data meets certain requirements which include :

Randomness : Data must not be biased as such it must be drawn as a random sample from a larger group.

The data must be independent. That is not related to one another, the outcome of one should not rely on the outcome or value of another.

Both groups must be drawn From a population which is normally distributed.

One group being normally distributed by stribuyed while the other isn't a requirement for hypothesis testing in this scenario.

I NEED HELP PLEASE AND THANK YOU!!! ASAP

Answers

Answer:

71

Step-by-step explanation:

Initial angle lies in 4th quadrant

Answer: 71 Initial line sets in 4th Quadrant

(b) If 124n= 232 five, find n.

Answers

Answer:[tex]n=\frac{58}{31}[/tex]

Step-by-step explanation:

[tex]124n=232\\\frac{124n}{124}=\frac{232}{124}\\n=\frac{232}{124}=\frac{58}{31}[/tex]

The value of n is 18.75. To find the value of n, we need to solve the equation: 124n = 232 five

Let's first convert "232 five" into a numerical value:

"232 five" means 2325 (since five is in the units place).

Now, the equation becomes:

124n = 2325

To solve for n, divide both sides of the equation by 124:

n = 2325 / 124

Now, perform the division:

n = 18.75

So, the value of n is 18.75.

To know more about equation:

https://brainly.com/question/10724260

#SPJ2

Write the following as an expression: How much water do I need to add to l liters of pure alcohol to obtain a solution of 45% alcohol? The answer is an EXPRESSION, not an actual answer!! WILL MARK BRAINLIST!!!

Answers

Answer:

see below

Step-by-step explanation:

amount of water w

l liter of pure alcohol = 100% alcohol

solution is 45 % percent alcohol

total amount of fluid is w+l

(w+l)( .45) = l*.100

Distribute

.45w  + .45 l = 1l

.45 w = 1l - .45l

.45 w = .55l

w = .55l / .45

w =11/9 l

helpppp asap pleaseee

Answers

Answer:

29/3 is your answer

Step-by-step explanation:

pls mark as brainliest

Write a linear equation representing the information shown in the table.

A) y = 2x + 10

B) y = –2x + 10

C) y = 10x – 2

D) y = 10x + 2

Answers

Answer:

b

Step-by-step explanation:

y=-2x+10

y=-2×0+10 y=10

y=-2×1+10 y=8

y=-2×2+10 y=6

y=-2×3+10 y=4

Answer: B. y = –2x + 10

Step-by-step explanation:

Which number shows four hundredths
.004 .04 .400 4.00

Answers

Answer:

hello the answer is .04/0.04

Answer:

.04 is four hundredths

Step-by-step explanation:

I hope this helps

PLS HELP
Let f(x) = -2x - 7 and g(x) = -4x + 6. Find (g o f) (-5)


–6



3



–59



26

Answers

Answer:

1st option

Step-by-step explanation:

Evaluate f(- 5) then substitute the value obtained into g(x)

f(- 5) = - 2(- 5) - 7 = 10 - 7 = 3 , then

g(3) = - 4(3) + 6 = - 12 + 6 = - 6

PLEASE ANSWER

The distance from the vertex of the curve to the focus is equal to _____.

Here’s the options

the distance from the vertex to the directrix

the distance from the vertex to the y-axis

the distance from the vertex to the origin

a constant

Answers

Answer:

The distance from the vertex to the directrix.

Step-by-step explanation:

According to this question, we are speaking about a parabola, which has the characteristic that the distance from the vertex to the focus is equal to the least distance from the vertex to the directrix.

Hence, the right answer is: The distance from the vertex to the directrix.

4 pounds of oranges costs $ 12 . What is the unit price per pound?

Answers

3 dollars per pound....

Answer:

3 dollars per pound

Step-by-step explanation:

Unit Price = Cost / Pounds of oranges

Unit Price = 12 / 4

Unit Price = 3

The unit price per pound is $3

Suppose that we ask n randomly selected people whether they share your birthday. (a) Give an expression in terms of n for the probability that no one shares your birthday (ignore leap years). $$ Correct: Your answer is correct. (b) What is the least number of people we need to select so that the probability is at least 0.8 that at least one person shares your birthday

Answers

Using the binomial distribution, it is found that:

a) The expression is [tex]\left(\frac{364}{365}\right)^{n}[/tex]

b) You need to select at least 587 people.

For each person, there are only two possible outcomes, either they share your birthday, or they do not. The probability of a person sharing your birthday is independent of any other person, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.

There are 365 days in a non-leap year, hence, the probability of each person sharing your birthday is [tex]p = \frac{1}{365}[/tex]

Item a:

This probability is P(X = 0), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{n,0}.\left(\frac{1}{365}\right)^{0}.\left(\frac{364}{365}\right)^{n} = \left(\frac{364}{365}\right)^{n}[/tex]

Hence, the expression is [tex]\left(\frac{364}{365}\right)^{n}[/tex]

Item b:

The probability that at least one person shares your birthday is:

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

We want that:

[tex]P(X \geq 1) \geq 0.8[/tex]

Hence:

[tex]1 - P(X = 0) \geq 0.8[/tex]

[tex]P(X = 0) \leq 0.2[/tex]

Hence:

[tex]\left(\frac{364}{365}\right)^{n} \leq 0.2[/tex]

[tex]n\log{\left(\frac{364}{365}\right)} \leq \log{0.2}[/tex]

[tex]n \geq \frac{\log{0.2}}{\log{\left(\frac{364}{365}\right)}}[/tex]

[tex]n \geq 586.6[/tex]

Rounding up: You need to select at least 587 people.

To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377

Find the missing length

Answers

Answer:

x=5.9

i think this the answer

Factorise 2x3+9x2+10x+3

Answers

Answer:

Hello,

Answer is (x+1)(x+3)(2x+1)

Step-by-step explanation:

[tex]p(x)=2x^3+9x^2+10x+3\\p(-1)=2*(-1)^3+9*(-1)^2+10*(-1)+3=-2+9-10+3=0\\p(x)\ is\ divisible\ by\ (x+1)We\ arrange\ to\ put\ a\ factor\ of\ x+1\\\\2x^3+9x^2+10x+3\\\\=2x^3+2x^2+7x^2+7x+3x+3\\\\=2x^2(x+1)+7x(x+1)+3(x+1)\\\\=(x+1)(2x^2+7x+3)\\\\=(x+1)(2x^2+6x+x+3)\\\\=(x+1)(2x(x+3)+1(x+3))\\\\=(x+1)(x+3)(2x+1)\\[/tex]

A chocolate chip cookie manufacturing company recorded the number of chocolate chips in a sample of 60 cookies. The mean is 22.36 and the standard deviation is2.97 . Construct a ​80% confidence interval estimate of the standard deviation of the numbers of chocolate chips in all such cookies.

Answers

Answer:

2.665 < σ < 3.379

Step-by-step explanation:

Given :

s = 2.97

Sample size, n = 60

α = 80%

χ² Critical value (two - tailed), df = (60-1) = 59

χ² = 45.577 ; χ² = 73.279

The 80% confidence interval for the standard deviation :

s * √(n - 1) / χ² critical

2.97 * √(60 - 1) / 73.279 < σ < 2.97 * √(60 - 1) / 45.577

2.665 < σ < 3.379

A local rental car agency has 200 cars. The rental rate for the winter months is 60%. Find the probability that in a given winter month fewer than 140 cars will be rented. Use the normal distribution to approximate the binomial distribution.

Answers

Answer:

[tex]P(Z\leq2.89)=0.9981[/tex]

Step-by-step explanation:

Sample size [tex]n=200[/tex]

Rental Rate [tex]R=60\%[/tex]

Probability =(P<140)

Generally the equation for mean of distribution is mathematically given by

[tex]\mu=nR\\\\\mu=200*0.60\\\\\mu=120[/tex]

Generally the equation for Standard deviation of distribution is mathematically given by

[tex]\sigma=\sqrt{npq}[/tex]

[tex]\sigma=\sqrt{200*0.60*0.40}[/tex]

[tex]\sigma=6.9[/tex]

Therefore

Z-score for x=140 is

[tex]Z=\frac{x-\mu}{\sigma}[/tex]

[tex]Z=\frac{140-120}{6.9}[/tex]

[tex]Z=2.89[/tex]

From table

[tex]P(Z\leq2.89)=0.9981[/tex]

Can someone check my answers if they are correct or incorrect? If it is incorrect, please let me know why it is incorrect please.

Answers

your answer is correct :)

A company wants to decrease their energy use by 17%. If their electric bill is currently $2500 a month, what will their bill be if they are successful

Answers

We need to find out how much 17 percent of 2,500 is, and then subtract that amount by 2,500. We can use proportions to use this. We can set up a fraction with x/2500 and another fraction with 17/100. Then, we need to cross multiply. This gives us 42,500. Next, we can divide by 100. This gives us 425. We know that they will save $425 if they decrease their energy use by 17%. We now need to subtract $425 from $2,500. This gives us $2,075. If the company is successful in decreasing their energy use by 17%, their bill would be $2,075.
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