Jenna has 30 buttons. She is organizing her buttons into 6 boxes. She puts the same number of buttons in each box. Write an expression that you use to find the number of buttons in each box.

Answer:

it would be the first answer I think. not very sure

Answer: 12 cupcakes will get chocolate frosting

Step-by-step explanation: John started with 30 cupcakes and spresd mint icing on 1/5 of these. That means he did the following

Mint icing = 30 x 1/5

Mint icing = 6

That leaves him with a total of 30 minus 6 cupcakes which equals 24 cupcakes.

Next he spreads chocolate icing on half of the remaining, that is half of 24. That means he did the following;

Chocolate icing = 24 x 1/2

Chocolate icing = 12

Therefore 12 cupcakes will get chocolate frosting

Answer:

[tex]2x^4\sqrt{5}[/tex]

Step-by-step explanation:

[tex]\sqrt{20x^8}[/tex] = [tex]\sqrt{4*5*(x^4)^2}[/tex] = [tex]2x^4\sqrt{5}[/tex]

The solution of the equation after remove all perfect squares from inside the square root is,

⇒ 2x⁴√5

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ √20x⁸

Now, We can simplify and remove all perfect squares from inside the square root as;

⇒ √20x⁸

⇒ √2 × 2 × 5 × (x⁴)²

⇒ 2x⁴√5

Thus, The solution of the equation after remove all perfect squares from inside the square root is,

⇒ 2x⁴√5

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Answer:

Im pretty sure its A

Step-by-step explanation:

Therefore, the option (A) is the correct answer.

What is the scatter plot?

Scatter plots are the graphs that present the relationship between two variables in a data-set. It represents data points on a two-dimensional plane or on a Cartesian system.

As per the given information, the correct graph is in option (A) because in this graph it is moving upward with respect to the line of curve.

Hence, the option (A) is the correct answer.

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Answer:

Step-by-step explanation:

By using j, s ,h to represent the number of jerseys,shorts and hats respectively.

System of Equations:

j + s + h = 40

j = s + h

50j + 20s + 15h = 1350

(s + h) + s + h = 40

2s + 2h = 40

s + h = 20

s = 20 – h

50[(20 – h) + h] + 20(20 – h) + 15h = 1350

50(20) + 400 – 20h + 15h = 1350

1400 – 5h = 1350

5h = 50h

h = 10

s = 20 – 10

s = 10

j = 10 + 10

j = 20

20 jerseys, 10 shorts, 10 hats

They order 20 jerseys, 10 shorts, 10 hats

A system of equations, also known as a set of simultaneous or equation system, is a finite set of equations for which we sought the common solutions.

According to the question

By using j, s ,h to represent the number of jerseys ,shorts and hats respectively.

System of Equations:

j + s + h = 40.   .   .   .   . Equation (1)

j = s + h.   .   .   .   .   .   .Equation (2)

50j + 20s + 15h = 1350 .    .    .    .     .      .     Equation (3)

By putting the value of j = s + h in equation (1)

(s + h) + s + h = 40

2s + 2h = 40

s + h = 20

s = 20 – h.   .   .   .   .   .   .   .Equation (4)

By putting the value of j = s + h and s = 20 - h in equation (3) we get

50[(20 – h) + h] + 20(20 – h) + 15h = 1350

50(20) + 400 – 20h + 15h = 1350

1400 – 5h = 1350

5h = 50h

h = 10

s = 20 – 10

s = 10

j = 10 + 10

j = 20

Hence , 20 jerseys, 10 shorts, 10 hats

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The Euclid's mug holds the most root beer.

Step-by-step explanation:

Euclid's mug :

Height = 8 inches

Radius = 3 inches

Volume = π(r x r) h

= (3.14) (9) 8

= 226.08 cubic inches

Aristotle's mug:

Height = 18 inches

Diameter = 4 inches

Radius = 2 inches

Volume = (1/3) π(r x r) h

= (1/3) (3.14) (4) 18

= 37.68 cubic inches

The Euclid's mug holds the most root beer.

Answer:

1/6 or 1.666667

Step-by-step explanation:

(y2-y1)/(x2-x1)

(15-10)/(21- -9) = 1/6

Answer:

1/6

Step-by-step explanation:

Answer:

your 2 numbers are going to be 7 and 22

Answer:

6(x + 3), or expanded: 6x + 18

Step-by-step explanation:

We start with x.

"Add 3" means + 3, so we have: x + 3

"Then times by 6" means multiply by 6, or * 6, so we have 6 * (x + 3)

Thus the expression is 6(x + 3), or expanded: 6x + 18

Hope this helps!

Answer:

6(x + 3)

Step-by-step explanation:

Add 3:

x + 3

Times 6:

6(x + 3)

Answer:

The answer is 8. And for the love of God people if you don't know the answer don't waste an answer space just for the points. It makes everyone mad. Stop. Just cut it out.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

a) From the information given,

Margin of error = 0.02

p = 0.3

q = 1 - 0.3 = 0.7

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.5 = 0.05

α/2 = 0.05/2 = 0.025

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.05 = 0.975

The z score corresponding to the area on the z table is 1.96. Thus, confidence level of 95% is 1.96

Therefore,

0.02 = 1.96 × √(0.3 × 0.7)/n

0.02/1.96 = √0.21/n

0.0102 = √0.21/n

Taking square of both sides, it becomes

0.00010404 = 0.21/n

n = 0.21/0.00010404

n = 2018

Sample size = 2018

b) if n = 2018

x = 520

Then

p = 520/2018 = 0.26

Point estimate of the proportion of smokers in the population is 0.26

c) q = 1 - 0.26 = 0.74

the 95% confidence interval for the proportion of smokers in the population is

0.26 ± 1.96 × √(0.26)(0.74)/2018

= 0.26 ± 0.019

Answer:

a) n = 2017

b) Point estimate is 0.2578

c) 95% Confidence Interval is Minimum = 0.2387,  Maximum  0.2769

Step-by-step explanation:

Here we have

At 95%, we have

[tex]z_{\alpha /2}[/tex] =  1.96

To determine sample size, we have

[tex]n = \frac{(z_{\alpha /2})^2 \hat p \hat q}{E^2}[/tex]

Where:

[tex]\hat p[/tex] = 0.3

[tex]\hat q[/tex] = [tex]1-\hat p[/tex] =  0.7

E = 0.02

Therefore, n = 2016.84 ≈2017

b) The point estimate is given by

[tex]\hat p =\frac{x}{n} = \frac{520}{2017}[/tex] = 0.2578

c) The confidence interval is given by;

[tex]CI=\hat{p}\pm z\times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}[/tex]

Which gives

[tex]CI=0.2578\pm 1.96\times \sqrt{\frac{0.2578(1-0.2578)}{2017}}[/tex]

Hence CI = Min = 0.2387 to Max = 0.2769

The equation of the line that passes through the point (6,-5)and has a slope of [tex]-\dfrac{3}{2}[/tex] is y+5 = -3/2(x+6).

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Which is the required equation of a line in a point-slope form.

WE need to find the equation of the line that passes through the point (6,-5)and has a slope of [tex]-\dfrac{3}{2}[/tex].

Given:  m=-3/2  and  x_1 = -6  and  y_1 =-5

So the required equation of a line in a point-slope form;

y+5 = -3/2(x+6)

Hence, The equation of the line that passes through the point (6,-5)and has a slope of [tex]-\dfrac{3}{2}[/tex] is y+5 = -3/2(x+6).

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The equation of the line that passes through the point (6, -5) and has a slope of -3/2 is y = -3/2x + 4.

To find the equation of the line, we can use the point-slope form of a linear equation, which is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. In this case, the point is (6, -5) and the slope is -3/2. Plugging these values into the equation, we get y - (-5) = -3/2(x - 6), which simplifies to y + 5 = -3/2(x - 6).

Expanding the equation further, we get y + 5 = -3/2x + 9. To isolate y, we can subtract 5 from both sides of the equation, resulting in y = -3/2x + 4. Therefore, the equation of the line that passes through the point (6, -5) and has a slope of -3/2 is y = -3/2x + 4.

Answer:

it is either zero or infinity

Step-by-step explanation:

Answer:

The common difference is 1.5

Use the explicit formula to find a1.

a1 = 1.2

What is the explicit formula for the arithmetic sequence?

= 1.2 + (n - 1)1.5

Step-by-step explanation:

Final answer:

The common difference of the arithmetic sequence is 1.5, and the first term is 1.2. The explicit formula for the arithmetic sequence is A: an = 1.2 + (n - 1)1.5.

Explanation:

To find the common difference of an arithmetic sequence, we can use the information that the seventh term (a7) is 10.2 and the twelfth term (a12) is 17.7. The formula for the nth term of an arithmetic sequence is an = a1 + (n - 1)d, where a1 is the first term and d is the common difference. By creating a system of equations using the given terms, we can solve for d.

For the seventh term: 10.2 = a1 + 6d
For the twelfth term: 17.7 = a1 + 11d
Subtracting the first equation from the second gives: 17.7 - 10.2 = 5d, which simplifies to 7.5 = 5d or d = 1.5.

We can then plug the value of d back into one of the equations to find a1:
10.2 = a1 + 6(1.5)
10.2 = a1 + 9
a1 = 1.2

Therefore, the explicit formula for this arithmetic sequence is A: an = 1.2 + (n - 1)1.5.

Answer:

Step 2 is where this person went wrong

Step-by-step explanation:

Should be

11 + (9)(3)= x

11 + 27= x

x = 38

Answer:

Step 2 is where the error started. You can see the person did the order of operations wrong. The person was supposed to multiple (9)(3) first because of PEMDAS; (9)(3)=27 and then you add the 27 to 11 and get 38

Step-by-step explanation:

The function y = 5100(0.95)^x represents an exponential decay of the number of carbon atoms in a fossil, with a base of 0.95. Therefore, the percent change each year is -5%, reflecting a decrease, consistent with the decay of carbon-14.

The function y = 5100(0.95)^x represents an exponential decay, with 0.95 being the base of the exponent. This base number, when subtracted from 1 and multiplied by 100, gives the percent change each year for the number of carbon atoms in the fossil.

Using this method, we find: (1-0.95)*100 = 5. So the percent change is -5% each year, with the negative sign indicating a decrease. This is consistent with the decay of carbon-14 (C-14) in fossils, a process used in carbon dating to estimate the age of the fossil.

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Answer:

X<-15

Step-by-step explanation:

-3x-42>3 collect like terms

-3x>3+42

-3x>45 divide both side by -3

X<-15

Hint ; when you divide both side by a negative sign, the sign changes.

Answer:

Just here for the points also it -135

Step-by-step explanation:

Answer:

Amount of sand=Area of triangle(ABC)=1/2*AB*BC

Dimension of rectangle as  length=BC and breadth=AB

Step-by-step explanation:

Given:

Pedro building a playground in shape of right angled triangle.

To Find:

How much sand he need to buy

And if playground changed to rectangle what will be the dimensions.

Solution:

Consider a ΔABC be the play ground vertex of playground,

And AB and BC be the sides making right angle.

The sand required to fill ground will be the amount of are covered by the ABC triangle.

So,

Area Of triangle(ABC)=1/2* base* height

Here base will be BC and height =AB

Therefore Area of Triangle(ABC)=1/2*BC*AB

Depending on the lengths of base and height amount of sand will be decided.

Now,

For Rectangle dimensions,

We know that if same sized triangles composes each other forms a rectangle.

It requires two triangle to form one rectangle as follows

(Refer the attachment)

Same sized Triangle ACD is imposed on it  to from rectangle ABCD.

So dimension for rectangle will be same as the triangle

Dimension=length and breadth

i.e. length=base of triangle=BC

Breadth=Height of triangle=AB

i.e Breadth =AB.

Answer:

Power

Step-by-step explanation:

Term Definition

power: Measure of the amount of work that can be done in a given amount of time.

Answer:

Power

Step-by-step explanation:

power, measure of the amount of work that can be done in a given amount of time.

I hope this helps :)

Answer: 32%

Step-by-step explanation:

The total number of students that signed up for chemistry and algebra

two is 386.

Let x represent the number of students that signed up for both chemistry and algebra two

If 209 students signed up for algebra two, then the number of students that signed up for algebra two only is

209 - x

If 300 need to have signed up for chemistry, then the number of students that need to have signed up for chemistry only is 300 - x

Therefore,

x + 209 - x + 300 - x = 386

- x + 509 = 386

x = 509 - 386

x = 123

If 123 students would be signed up for both courses, then the probability that a student chosen at random from the 386 will be signed up for both of the courses is

123/386 × 100 = 32%

Answer:

Let X the random variable of interest "Number of correct anwers on the tet", on this case we now that:

[tex]X \sim Binom(n=10, p=0.25)[/tex]

And the expected value is given by:

[tex] E(X) = np =10*0.25 = 2.5[/tex]

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:  

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

Where (nCx) means combinatory and it's given by this formula:  

[tex]nCx=\frac{n!}{(n-x)! x!}[/tex]  

Solution to the problem

Let X the random variable of interest "Number of correct anwers on the tet", on this case we now that:

[tex]X \sim Binom(n=10, p=0.25)[/tex]

And the expected value is given by:

[tex] E(X) = np =10*0.25 = 2.5[/tex]

Answer:

18,500  , 1 , 1.03

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

f(t) =18,500(1.03)^t  

1st blank:

19,055

1.03

3

18,500

2nd blank:

t years

2 years

3 years

1 year

3rd blank:

19,055

3

18,500

1.03

My answer:

Given that:  f(t) =18,500*[tex]1.03^{t}[/tex]

1st blank:

Initial value when t = 0, so we have:

f(0) =18,500*[tex]1.03^{0}[/tex]

[tex]f(0) =18,500(1)\\ f(0) =18,500[/tex]

So we choose D for 1st blank

2nd and 3rd blank:

Because it's an exponential function f(t) =18,500*[tex]1.03^{t}[/tex]  , with every value of t increment f(t) increase by a factor of 1.03 . So  Every  1 year the number of students who enroll at the university increases by a factor of 1.03

=> 2nd blank: 1

=> 3rd blank: 1.03

Hope it will find you well.

Answer:

The first blank this is 18,500. Second blank is 1. The third blank is 1.03. hope this helps

Step-by-step explanation:

Answer:

240

Step-by-step explanation:

Multiply everything together. 6*4*5 is 240.

Answer:

Probability thay the next page she turns to will have an advert = 0.4042

Step-by-step explanation:

In the last 12 issues of the magazine, 384 out of 950 pages contain an advertisement.

We now need to find the probability that the next page has an advertisement.

Probability of an event

= n(of that event) ÷ n(total sample spaces)

n(of the event of an advert) = number of pages with adverts in those issues = 384

n(total sample spaces) = total number of pages = 950

Probability that the next page or any page at all will have an advert = (384/950) = 0.4042

Hope this Helps!!!

Find the distance around the circle ( circumference)

Circumference = 2 x PI x r

Circumference = 2 x 3.14 x 200

Circumference = 1256 inches.

Divide circumference by spacing:

1256 / 4 = 314

You can plant 314 flowers.

Answer:

[tex]4(x+4)=4x+16[/tex]

Step-by-step explanation:

a) The Greatest Common Factor, of both terms 4x and 16 is 16.

4,16|2

2,8|2

1,4|2

1,2|2

1,1| = 2*2*2*2=16

b) Let's divide each term by 4 their

4x+16

[tex]\frac{4x}{4}=x\\\\\frac{16}{4}=4[/tex]

Placing their common divisor outside the parentheses, and inside the sum of this result:

[tex]4(x+4)=4x+16[/tex]

The equivalent expression after factoring out the GCF is [tex]\(4(x + 4)\)[/tex].

To apply the distributive property to the expression \(4x + 16\), we can factor out the greatest common factor (GCF) of the two terms. In this case, the GCF of 4 and 16 is 4. By dividing each term in the expression by 4, we can factor out the GCF.

\(4x\) divided by the GCF (4) is \(x\), and \(16\) divided by the GCF (4) is \(4\). Therefore, the expression \(4x + 16\) can be factored as \(4(x + 4)\) using the distributive property.

To summarize:

- GCF of 4 and 16 is 4.

- \(4x\) divided by the GCF (4) is \(x\).

- \(16\) divided by the GCF (4) is \(4\).

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Answer:

21 percent

Step-by-step explanation:

Because 0.21 times 100 gives 21 percent

Answer:

21%

Step-by-step explanation:

to change a decimal to a percentage you multiply it by 100 which 0.21 x 100 which will give 21%

Answer:

15.81

Step-by-step explanation:

Use the distance formula:

So the distance formula for two given points is

Distance= sqrt((x2-x1)^2 +(y2-y1)^2 ) =sqrt((-3-6)^2 +(-8-5)^2 )

=sqrt((-9)^2 +(-13)^2 )

=sqrt(81+169)

=sqrt(250)

=15.81

Hope this helped

:)

Answer: 10×1.4^6

Step-by-step explanation:

This question is about exponential growth in mathematics.

This question is about exponential growth in mathematics. The number of people who received the email increases by a factor of 1.4 every week.

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