plz try your best do not quess

It should be B children

Bye giggity giggity gamers! nyah :3

Answer:

The total number of marbles in the set is 107 marbles

Step-by-step explanation:

The parameters given are;

Let the size of the marbles be 1 unit

The marbles are arranged to form the equilateral triangle as follows;

1st row = 1 marble

2nd row = 2 marbles and so on so that the total number of marbles for an arithmetic series as follows;

Total number of marbles, t = 1 + 2 + 3 + ... + n

Therefore;

[tex]t = \dfrac{1 + n}{2} \times n[/tex]

Since there are 2 marbles left in forming the first equilateral triangle, we have the total number of marbles in the set, t₁, is given as follows;

[tex]t_1 = \dfrac{1 + n}{2} \times n + 2[/tex]

When the same marble set are arranged into a triangle in which each side has one more marble than in the first arrangement, there where 13 marble shortage, hence, the total number of marbles is given as follows;

[tex]t_1 = \dfrac{1 + (n+1)}{2} \times (n+1) -13[/tex]

We therefore have;

[tex]t_1 = \dfrac{1 + n}{2} \times n + 2 = \dfrac{1 + (n+1)}{2} \times (n+1) -13[/tex]

Which gives;

[tex]\dfrac{n^{2}+n+4}{2}=\dfrac{n^{2}+3\cdot n-24}{2}[/tex]

Therefore;

n² + n + 4 = n² + 3·n - 24

2·n = 24 + 4 = 28

n = 14

From which we have;

[tex]t_1 = \dfrac{1 + 14}{2} \times 14 + 2 = 107[/tex]

Therefore, the total number of marbles in the set, t₁ = 107 marbles.

The number of marbles in the set would be as follows:

[tex]107[/tex] marbles

Arrangement

Given that,

After arranging the marbles in an equilateral Δ, 2 marbles would be left

The size of marble being 1 unit,

So,

The first row of the equilateral Δ will consist of 1 marble,

while

The second row comprises of 2 marbles.

The process goes so on and on.

Therefore,

Total marbles [tex]t = 1 + 2 + 3 + ... + n[/tex]

Hence,

[tex]t = (1 + n)/2[/tex] × n

Because 2 marbles are extra,

[tex]t = (1 + n)/2[/tex] × n [tex]+ 2[/tex]

In case,

The same marble set are framed into a triangle, every side would contain 1 marble exceeding the previous one where 13 marbles would be felt short.

Thus,

Total marbles = [tex]\frac{1 + (n + 1)}{2}[/tex] × [tex](n + 1) - 13[/tex]

by putting the values, we get

[tex]n^2 + n + 4 = n^2 + 3n - 24\\2n = 24 + 4 = 28\\n = 14[/tex]

∵ Total marbles [tex]= (1+ 14)/2[/tex] × [tex]14 + 2[/tex]

[tex]= 107[/tex]

Thus, 107 marbles are the correct answer.

Learn more about "Probability" here:

brainly.com/question/8069952

Answer:

equation

Step-by-step explanation:

Equations have equals signs, expressions do not

15x-10 is an expression

9+5 = 32 is an equation  ( it is a wrong equation)

Answer:

14.29

Step-by-step explanation:

Let p be the price of the cd

we take the price of the cd plus the tax and it must be less than or equal to 15

the tax is the price of the cd times 5 %

p + p*.05 ≤15

Combine like terms

p*1.05 ≤15

Divide each side by 1.05

p ≤15/1.05

p  ≤14.28571429

Rounding to the nearest cent

p  ≤14.29

The maximum price is 14.29

Answer:

I don't understand the question

Answer:

x = ± ( 5√5 - 3 ) / 2

Step-by-step explanation:

We are given the equation ( 2x + 3 )² = 125;

[tex]( 2x + 3 )^{ 2 } = 125 - Take Square Root on Either Side,\\| 2x + 3 | = \sqrt{ 125 } - Simplify Square Root of 125,\\\\| 2x + 3 | = \sqrt{ 5 * 25 } - Simplify Further,\\| 2x + 3 | = 5\sqrt{ 5 } - Take | |,\\\\2x + 3 = 5\sqrt{ 5 } , and , 2x + 5 = - 5\sqrt{ 5 } - Algebra, \\2x = 5\sqrt{ 5 } - 3 , and , 2x = - 5\sqrt{ 5 } - 3 - Divide Either Side by 2\\\\x = ( 5\sqrt{ 5 } - 3 ) / 2, and , x = ( - 5\sqrt{ 5 } - 3 ) / 2\\Conclusion ; x = ( + / - 5\sqrt{ 5 } - 3 ) / 2[/tex]

Solution ; x = ± ( 5√5 - 3 ) / 2

Answer:

x=-12        x =2

Step-by-step explanation:

-x^2-10x+24=0

Divide by -1

x^2 +10x -24 = 0

Factor

What 2 terms multiply to -24 and add to 10

12 * -2 = -24

12 -2 = 10

(x+12) ( x-2) = 0

Using the zero product property

x+12 =0    x-2 =0

x=-12        x =2

Answer:

-8

Step-by-step explanation:

Answer:

Let's do this step by step

Step-by-step explanation:

I hope this helps

Answer:

Answer is a (A)

Step-by-step explanation:

Answer is a (A)

There is no picture ; - ;

Answer:

its C

Step-by-step explanation:

Answer:

Y-intercept: 59

Step-by-step explanation:

Y=mx+b, in which b stands for y intercept

Answer:

59

Step-by-step explanation:

Question - Find the y-intercept of the following equation. Simplify your answer.

We write graphical equation as:

y = mx + b

where:

y: point on y axis

m: gradient/ slope (RISE/RUN)

x: point on x axis

b: y intercept (point where the line touches the y axis)

Now in:

y  =  –6 7  x  +  5 9

y-intercept = 59

Answer:

256

Step-by-step explanation:

First..

8*2=16

Now

16 (squared)=256

Answer:

The answer is 32

Step-by-step explanation:

8 x 2 is 16

16 is 2 is 32

pls give me brainliest, I show work

Answer:

The answer is D.

Step-by-step explanation:

You have to divide it by 2 :

∠RST = ∠ROT ÷ 2

= 46° ÷ 2

= 23°

O represents the centre of circle.

(Correct me if I am wrong)

Answer:

D. 23°

Step-by-step explanation:

The measure of central angle is twice the angle of circumference lying on the same arc. So,

<RT = 2(<RST)

<RST = <RT/2

<RST = 46/2

<RST = 23°

Answer:

37

Step-by-step explanation:

If this is a regular hexagon, the sides have the same length

3y +19 = 6y+1

Subtract 3y from each side

3y+19-3y = 6y-3y+1

19 = 3y+1

Subtract 1 from each side

19-1 = 3y+1-1

18 = 3y

Divide each side by 3

18/3 = 3y/3

6 =y

ST = 6y+1

     =6*6+1

     =36+1

     = 37

Answer:

37 units

Step-by-step explanation:

sides are equal

3y+19=6y+1

3y= 18

y= 6

3y+19= 3*6+19= 37

QR=ST= 37 units

Answer:

reflect over line b

counterclockwise rotation about P by 180 degrees

Step-by-step explanation:

reflecting over b will put it in the same place bc b goes down the middle of the rectangle

if you rotate it counterclockwise around p by 180 degrees it would flip it upside down but that doesn't really matter because the length on the top and bottom are equal

Answer:

I would check:

reflect over line b  and check

counterclockwise rotation about P by 180 degrees

Step-by-step explanation:

First of all, b is a horizontal line going through the middle. If you reflect across it you will get the same rectangle just backwards but exactly the same position.

If you rotate 180, then you will get the exact same shape just upsides down.

Thanks and please give brainliest have a nice day :)

Answer: 8

Step-by-step explanation:

(-11/2x + 3) -2(-11/4x - 5/2)

Distribute

-11/2x + 3 + 22/4x + 10/2

Simplify 22/4x and 10/2

-11/2x + 3 + 11/2x + 5

Cancel out 11/2x and -11/2x

3 + 5

Add 3 and 5

8

Answer:

8

Step-by-step explanation:

(-11/2 x + 3) -2(-11/4 x - 5/2)

Distribute

-11/2 x + 3 +11/2 x + 5

Combine like terms

-11/2 x +11/2 x + 5+3

8

Answer:

0

Step-by-step explanation:

Substitute x for 2

-3(2)^2 + 6(2)

Order of operations says that exponents are next, so square the 2

-3(4) + 6(2)

multiply

-12 + 12

add

0

Answer:

The correct answer is 0

Hope it helps

Step-by-step explanation:

F(x) is given

So to find f2 we substitute all the variables (x) with the number 2 so it becomes..

f(2)=

-3(2)^2 + 6(2)

= -3(4)+ 6(2)

= -12+12

= 0

Answer:

The volume of the solid is the volume of the prism minus the volume of the cylinder.

For the cylinder, diameter = d = 4 cm

radius = d/2 = (4 cm)/2 = 2 cm

V = volume of prism - volume of cylinder

The volume of a prism is length times width times height.

The volume of a cylinder is pi times the square of the radius times the height.

V = LWH - (pi)r^2h

V = 6 cm * 6 cm * 15 cm - (pi)(2 cm)^2(15 cm)

V = 540 cm^3 - 60pi cm^3

V = (540 - 60pi) cm^3

Answer:

78.4% probability at least one does not have a job

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they have a job, or they do not have a job. The probability of a student having a job is independent of other students. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

60% of the students at a large university have a job

This means that [tex]p = 0.6[/tex]

Three of these students are randomly selected

This means that [tex]n = 3[/tex]

What is the probability at least one does not have a job?

Either all of them have a job, or at least one does not. The sum of the probabilities of these events is decimal 1. So

[tex]P(X < 3) + P(X = 3) = 1[/tex]

We want P(X < 3). Then

[tex]P(X < 3) = 1 - P(X = 3)[/tex]

In which

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

[tex]P(X = 3) = C_{3,3}.(0.6)^{3}.(0.4)^{0} = 0.216[/tex]

[tex]P(X < 3) = 1 - P(X = 3) = 1 - 0.216 = 0.784[/tex]

78.4% probability at least one does not have a job

Answer:

| 4x - 6 | = - 6

Step-by-step explanation:

The absolute value function always produces a positive value.

| 4x - 6 | = - 6 ← negative value is not possible

Answer:

The first one

Step-by-step explanation:

For the second one x is equal to 11 bc -2 minus 11 is 9 which is a solution

The third one x is equal to 0 which is a solution

The last one x is equal to 4 which is a solution

There are no solution for the first on bc it does not equal to -6

Correct me if this is wrong

Answer:

This means that she will be 16.35 ft away from the rim in 15 minutes at this current rate.

Step-by-step explanation:

What we are asked here is imply to state how long in terms of distance would be Arielle position after 15 minutes

Now, 55 ft will take her 234 minutes

x ft will take her 15 minutes

x * 234 = 55 * 15

234x = 3825

x = 3825/234

x = 16.35 ft

This means that she will be 16.35 ft away from the rim in 15 minutes at this current rate.

After 15 minutes, Ariele would be 3.5 feet away from the rim.

Speed is the ratio of distance travelled to total time taken. It is given by:

Speed = distance / time

Ariele is hiking down into the canyon. She starts at the rim and hikes down 55 feet in 234 minutes. Hence;

Ariele speed = 55 feet / 234 minutes

In 15 minutes, the distance covered is:

Distance = (55 feet / 234 minutes) * 15 minutes = 3.5 feet

After 15 minutes, Ariele would be 3.5 feet away from the rim.

Find out more on speed at: https://brainly.com/question/4931057

Answer:

Step-by-step explanation:

There are infinitely many rational numbers between any two rational numbers.

Answer:

[tex]\frac{13}{4}[/tex]

Step-by-step explanation:

[tex]\frac{3}{4} +\bigg(\frac{1}{3}\div\frac{1}{6}\bigg)-\bigg(-\frac{1}{2}\bigg)\\=\frac{3}{4} + \bigg(\frac{1}{3}\times\frac{6}{1}\bigg)+\frac{1}{2}\\=\frac{3}{4} +2 + \frac{1}{2}\\=\frac{3}{4} +\frac{8}{4} + \frac{2}{4}\\=\frac{3+8+2}{4} \\=\frac{13}{4} \\= 3.25[/tex]

Answer:

Either A or B, or both. They are both true

Step-by-step explanation:

The diameter of a circle is and only can be one value. As long as you start from the center of the circle and go in a straight line. All radii lengths are congruent is also true. Im unsure if you can choose more than one answer

Answer: find the answer in the explanation

Step-by-step explanation:

Two times a number, n that is, 2n

and four less than three times the same number, that is, 3n - 4

Cole is wrong for not interpreting the two statement differently into two separate expression.

Finding the sum of the two expression will be

2n + 3n - 4 = 5n - 4

So, if n = 2

Substitute 2 for n in the expression 5n -4

5(2) - 4

10 - 4 = 6

Answer:

4:45p.m

Step-by-step explanation:

40+40+35

divide by 60

you round to get 1hour and 50min

add it to 3:05

Answer:

5:00 PM

Step-by-step explanation:

She got home at 3:05 PM

--> played video games for 40 mins --> 3:45 PM

--> cleaned the kitchen 40 mins --> 4:25 PM

--> Actuall HW 35 ins --> 5:00 PM

5:00 PM

Answer:

6 divided by 4=6/4 (bottom left)

Step-by-step explanation:

You're dividing a 6 meter area into 4 parts, so you're dividing 6 by 4 (6/4 m)

Answer:

6/4 m or 1.5 m

Step-by-step explanation:

Given 6 meter divided by 4 = 6/4

Answer:  c) 3.2 inches

Step-by-step explanation:

Let x represent the width of the frame

Then the area of the frame is:

(x + 12)(x + 14) = 261.44

Rewrite it in Standard form of a quadratic equation:

x² + 26x + 168 = 261.44

x² + 26x - 93.44 = 0

Use Quadratic Formula to solve for x:

[tex]x=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-26+\sqrt{26^2-4(1)(-93.44)}}{2(1)}\\\\\\x=\dfrac{-26+\sqrt{1049.76}}{2}\\\\\\x=\dfrac{-26+32.4}{2}\\\\\\x=\dfrac{6.4}{2}\\\\\\x=\large\boxed{3.2}[/tex]

Answer:

Ava is 10 years old

Step-by-step explanation:

Sara is 8

Sara=$8 per week for 12 weeks

$8×12 weeks=$96

Ava has $24 more than Sara

x*12=96$+$24

12x=120

x=120/12

x=10

Ava's age is 10