The Two-Steppers numbered 10 more than 5 times the number of waltzers. Also there were 10 times as many Two-steppers as waltzers. How many of each were there?

The better plan is offered by bank B.

We know that the compound interest that we get on investment is the kind of interest that would be obtain when we consider not only the principal but also the interest on the investment.

Now we know that in the case of Bank A the interest rate that is offered by the bank is 0.95% while for the bank B the interest rate is 3.75%. We can see that the formula for the compound interest is;

A = P(1 + r/n)^nt

A = amount

P = principal

r = rate

t = time

n = Number of times compound.

The lesser the number of times compounded and the higher the percentage the higher the amount at the end of the given time.

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By using the promotional deal the kids saved 20 dollars.

Simply put, a promotion is a discounted product or service that you already have available on your website or that you want to offer. We re-promote it, and the consumer can view it and be directed to the Merchant's website, location, or phone number – no online transaction is necessary.

A promotion is frequently a recurring event that happens weekly or daily to draw more people to a particular day. It doesn't necessitate an online transaction but does include some sort of discount or added value. A promotion may be accessible online for several days, weeks, months, or even years.

When you buy 5 $12 admission tickets you get a free $3 cotton candy and a free $2 soda

A group of 20 buys each  $12 admission tickets, i.e

20/5

= 4 promotional deal

All together they are eligible for 4 promotion deal.

They get 4 $3 cotton candy and 4 $2 soda

= $12 + $8

= $20

Half of them want cotton candy = 20/2

                                                     = 10

¼ of them want soda = 20/4

                                     = 5

10 × $3 cotton candy

= $30

5 × $2 soda

= $10

Total $40

Dollars the save = $40 - $20

                            = $20

Thus, By using the promotional deal the kids saved 20 dollars.

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When Δ BCF is congruent to Δ BDE, then the value of x is obtained as 10.

What is congruence?

In mathematics, the term "congruent" refers to figures and shapes that can be flipped or rearranged to match up with other ones. These forms can be mirrored to produce related shapes.

It is given that Δ BCF ~ Δ BDE.

Since the triangles are congruent so, it can be written that -

BC/BD = BF/BE

Substituting the values in the equation -

52/(52 + 39) = 56/[(56) + (5x-8)]

Simplifying the equation -

52/91 = 56/[(56) + (5x-8)]

4/7 = 56/(48+5x)

4(48+5x) = 56 × 7

192 + 20x = 392

20x = 392 - 192

20x = 200

x = 200/20

x = 10

Therefore, the value of x is obtained as 10.

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The equation of the rate of swimmer diving is b)2+x=-12.

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Here according to the given after 2 minutes, she was 12 meters below the surface.

Then let us take x as the total timing of the dove below then,

after 2 minutes then

=> x+ 2

Swimmer is 12 meters below the surface then

=> x+2 = -12.

Hence the correct option is b)2+x=-12.

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The smallest positive integer by using the trial and error method will be 47.

What is meant by trial and error method?

Trial and error is a fundamental method of Problem solving. It is characterized by repeated, varied attempts which are continued until success, or until the agent stops trying. Until getting the right answer the problem is repeated through various steps. This type of problem solving is called trial and error method.

Now

since the numbers are small, trial and error works.

Consider those numbers which are of the form 11x+3 :- 3, 14, 25, 36, 47, 58, 69, 80, 102, 113, 124, 146, 168, 179, 190, 212, 223

From given number find the number which when divided by 3 gives remainder 2 and when divided by 7 gives remainder 5 and the smallest number will be our answer.

From given numbers 47 is the smallest positive integer which satisfies given conditions.

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Answer: Justin is 9 years old, Peyton is 6 years old and Matt is 24 years old

Step-by-step explanation: Let the age of Justin be x years .

And Peyton is three years younger than Justin, therefore Peyton age is

(x-3) years

And Matt is four times as old as Peyton, therefore Matt age is

4(x-3) years

And it is given that

x + x - 3 + 4 (x - 3) = 39

x + x - 3 + 4x - 12 = 39

6x - 15 = 39

6x = 54

x = 9

Therefore , Justin is 9 years old, Peyton is 6 years old and Matt is 24 years old .

The difference between collinear and coplanar is that collinear points line on the same line and coplanar lie on the same plane.

On a single straight line, collinear points are located. A scalar multiple of two collinear vectors can also be used to represent them. If the two vectors p and q are collinear, then p=kq, where k is a scalar value We will now talk about coplanar, which refers to objects that are on the same plane and can be said to be coplanar.

Whether we use points or vectors, the terms "collinear" and "coplanar" are properties that can be utilised in a variety of situations..

If p→,q→

are two collinear vectors then p→=kq→

where k

is a scalar number.

If p→,q→,r→

are three coplanar vectors then p→=mq→+nr→

where m,n

are scalar numbers.

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Answer: To calculate the final value of an investment with compound interest, you can use the formula:

A = P(1 + r/n)^(nt)

where:

A = final amount

P = initial investment (principal)

r = annual interest rate (expressed as a decimal)

n = number of times interest is compounded per year

t = number of years the investment is held

In this case, we have:

P = 170000

r = 0.04 (4% expressed as a decimal)

n = 2 (semiannually)

t = 7

So plugging these values into the formula:

A = 170000(1 + 0.04/2)^(2*7)

A = 170000(1.02)^14

A = 170000(1.286816)

A = 217,912.72

The final value of the investment after 7 years is 217,912.72 baht.

Please note that this is a simple interest calculation, and in real world some other factors like taxes, fees, etc should be taken into account.

Step-by-step explanation:

Answer:

1/24

Step-by-step explanation:

[tex]a^{-1} =\frac{1}{a} \\24^{-1} =\frac{1}{24}[/tex]

A negative exponent is converted to a fraction while the power goes to the base which is at the denominator.

Answer: 30 1/4 (Fully Reduced)

121/4 (Not reduced)

Step-by-step explanation:

Hope this helps! :)

(a) The net change is -1

(b) The average rate of change is -1/5.

Net change of a function is the difference of the output values corresponding to two input values.

Consider the function y = f(x).

Net change from a point x = a to x = b is,

Net change = f(b) - f(a)

Average rate of change of a function from x = a to x = b is,

Average rate of change = [f(b) - f(a)] / [b - a]

The points are (0, 5) and (5, 4).

Here, the value of x on the indicated points are x = 0 and x = 5.

The value of y are f(0) = 5 and f(5) = 4.

Net change = f(5) - f(0) = 4 - 5 = -1

Average rate of change = [f(5) - f(0)] / [5 - 0] = (4 - 5) / 5 = -1/5

Hence the net change is -1 and the average rate of change is -1/5.

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Answer:

below

Step-by-step explanation:

(8)(-2)(-1)   =   8 * -2 * -1 = 8 * 2 = 16

Step-by-step explanation:

[tex]\displaystyle\\\left \{ {{x\leq y,\ \ \ -\infty < y < 1.5} \atop {x < -y+3,\ \ \ 1.5 < y < \infty}} \right.[/tex]

Answer: I'm sorry, I am a text-based user and do not have the capability to drag tiles. However, I can provide you with a written proof of the statement "ABCD is a parallelogram" given the given information "AD = BC and AD || BC":

Statements:

AD = BC

AD || BC

Angles A and C are congruent

Angles B and D are congruent

Opposite sides are equal in length

Reasons:

Given

Given

If two lines are parallel, then the corresponding angles are congruent

If two lines are parallel, then the corresponding angles are congruent

If opposite angles of a quadrilateral are congruent, then the opposite sides are equal in length

Therefore, ABCD is a parallelogram.

Step-by-step explanation:

Answer:

I think 0.15b would be a no because that is just what a customer would tip.

15b is also a no because that is 15 times the price of the bill.

b + 0.15b is a yes because you are adding the bill and 15% of the bill as a tip.

1.15b is a no because you are multiplying the bill by 1.15.

1.015 is a no because you're multiplying the bill by 1.015.

b + (15/100)b is a yes because you are adding the bill and 15% out of 100% of the bill as a tip.

b + 0.15 is a no because you would be tipping them 15 cents, not 15% of the bill.

Answer:

after 42 months he has $2,696 in interest

compound quarterly is equivalent to annual rate of 4.835%

Part b

after 42 months he has $2,713 compound continuously

the diffrence is $17  

15000 + 4.75% · 42  compound quarterly is $2,696

15000 + 4.75% · 42 compound continuously is $2,696

Answer:

Step-by-step explanation:

Stop posting FLVS questions on this website. It is illegal, and you can be expelled from the program. :)

The next step on solving completing square is  5(x² + 4x)=7 and

5 (x² + 4x + 4 )=7 + 20

Quadratic equation is the equation of the 2nd degree. One of the standard formulas for solving quadratic equations is 'ax² + bx + c = 0' here a, b, and c are constants or numerical coefficients. 'X' here is an unknown variable.

Case (I).

Given equation is

5x² + 20x- 7 =0

Firstly, we will add of 7 in both sides

5x² + 20x- 7 +7 = 7

Now, same variable of opposite sign is cancelled

5x² + 20x=7

Now, taking 5 common from left side

5(x² + 4x)=7

Case (II).

Given equation

5x² + 20x- 7 =0

Firstly, we will add of 7 in both sides

5x² + 20x= 7

Now, we will add of 20 in both sides

5x² + 20x + 20= 7 + 20

Now, taking common of 5 from left side

5 (x² + 4x + 4 )=7 + 20

So, The next step on solving completing square is  5(x² + 4x)=7 and

5 (x² + 4x + 4 )=7 + 20

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Let x represent the number of pages Aiden read on day one.

On day two he read twice the number of pages, so 2x represents the number of pages he read on day two.

On the third day, he read 6 pages less than what he read on the first day, so x - 6 represents the number of pages he read on day three.

The total number of pages he read in three days is the sum of the pages he read on each day:

x + 2x + (x - 6) = 458

3x - 6 = 458

3x = 464

x = 154

Aiden read 154 pages on day one.

The slope of the line is negative three fourths. option C

You should know that slope is the rate of change of y with respect to x. We can equally say that  slope is the rise over run or an increase in y over an increase in x vice versa.

The given coordinates for the computation of the slope are

(-2,3) and (2,0)

The formula for slope is

m= (y₂ -y₁)/(x₂-x₁)

This implies that the slope of the line is

m=(0-3)/(2+2)

m= -3/4

In conclusion, the slope of the line is negative three fourths

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Answer:

c: -3/4

Step-by-step explanation:

A) If the Permutation occurs when order of choices matters will be; 24 ways

B) If the Combination occurs when order of choices doesn't matter will be; 4 ways

Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.

Assume that we want to choose 3 letters without replacement from the 4 letters A B C and D.

a) Permutation occurrs when order of choices matters;

N = 4P3 = 4!/(4-3)! = 4!/1!

N = 24 ways

b) Combination occurs when order of choices doesn't matter;

N = 4C3 = 4!/3!(4-3)! = 4!/3!(1!)

N = 4 ways

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Answer:

Step-by-step explanation:

let me know when you find it

Answer:

To multiply using fraction form, we can convert the decimal numbers to fractions and then multiply them together.

4.4 can be written as 44/10

3.2 can be written as 32/10

So the multiplication would be:

(44/10) * (32/10) = (4432)/(1010) = 1408/100

To simplify this fraction, we can divide the numerator and denominator by their greatest common factor which is 4, we get:

1408/100 = 352/25

So the product of 4.4 and 3.2 is 352/25 in fraction form.

By HL congruence,  triangle ABC congruent to triangle DEF. Therefore, option D is the correct answer.

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

Consider the given triangles as ABC and DEF.

From the given triangles,

AC=DF=14 in.

BC=EF=20 in.

∠A=∠D=90°

The Hypotenuse-Leg (HL) Triangle Congruence Theorem is a special case that allows you to show that two right triangles are congruent. If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.

By HL congruence, ΔABC ≅ ΔDEF

Therefore, option D is the correct answer.

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For the given similar triangles ΔBCF ~ΔBDE, the value of x is, 10

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. Triangle resemblance is shown here by the symbol "≈"

Given that,

One triangle, ΔBCF

one segment CF which is intersecting sides BD & BE

ΔBDE has one similar triangle inside, which is ΔBCF

Triangles ΔBDEand ΔBCF similar,

So, we can say ΔBCF ~ΔBDE

And it is known that

for similar triangles, ratio of lengths of sides are equal for similar triangles

so, BD/BE = BC/BF

⇒ 91/(56+ 5X-8) = 52/56

⇒ 65X + 624 = 1274

⇒ 1274-624 = 65X

⇒ X = 10

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The value of x is 25.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

The given figure is an equilateral triangle.

AB = BC = AC

Now,

3x - 5 = 2x + 20 = 4x - 30

Take any two sides.

Now,

Solve for x.

3x - 5 = 2x + 20

3x - 2x = 20 + 5

x = 25

or

Solve for x.

2x + 20 = 4x - 30

20 + 30 = 4x - 2x

50 = 2x

x = 25

or

Solve for x.

3x - 5 = 4x - 30

30 - 5 = 4x - 3x

25 = x

x = 25

Thus,

The value of x is 25.

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The definition of a rate of change is a rate that expresses how one quantity changes in relation to another quantity. When d(t)=2t is stated, the average speed from t=5 to t=9 is 28 feet or 2 feet per second.

A rate of change is a rate that describes how one quantity changes in relation to another quantity.

d(t)=2t² is given, we need to find the average speed in feet per second from t=5 to t=9.

d(t)=2t².

The average rate of change is calculated by the formula:

d(t₂) - d(t₁) / t₂ - t₁

So plug in 5 as t₁ and 9 as t₂.

=> d(9) - d(5) / 9 - 5

=> (2×81) - (2×25) / 9 - 5

=> 162 - 50 / 4

=> 112 / 4 = 28

Therefore the average speed is 28 feet.

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The variable equation is  z=262+387 and the solution being z=649

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here: z minus 387 is equal to 262 write in variable equation

we can construct an equation z-387=262

Simplifying we get  z=262+387

                                z=649

Hence, The variable equation is  z=262+387 and the solution being z=649

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The solution of the system of equation is as follows:

x = 2 / 5 and y = - 2 / 5.

System of equation can be solved using different method such as elimination method and substitution method.

Let's solve the system of equation by substitution method.

6x + y = 2

x - 4y = 2

Hence,

x = 2 + 4y

substitute the value of x in equation(i)

6(2 + 4y) + y = 2

12 + 24y + y = 2

12 + 25y = 2

25y = 2 - 12

25y = - 10

y = -10 / 25

y = - 2 / 5

Hence, let's find the value of x

6x  = 2 - y

6x = 2 + 2 / 5

6x =  10 + 2/ 5

6x = 12 / 5

x = 12 / 5 × 1  /6

x = 12 / 30

x = 2 / 5

Therefore,

x = 2 / 5 and y = - 2 / 5

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The train will cover 3.33 distance in one and a half hours.

What is the distance?

Distance is the sum of an object's movements, regardless of direction. The distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.

Here, we ave

Given: A train travels at an average speed of 100 kilometers per hour.

We have to find out If the train travel's for one and a half hour, what distance it covered.

Speed = 100kn

Distance=?

Time=   30 min

Distance = speed/time

Distance = 100/30

Distance = 3.33 meters

Hence, the train will cover 3.33 distance in one and a half hours.

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Answer:

5 books one calendar

Step-by-step explanation:

just mutiplied 4 by 5 wich is 20 n then added 3 because the calendar is 3$

you put 5 - 2300 60 + 40 then how do 25 + 69 equals to 100 to 108 cost 25 million

Answer: Number 1 Is also ∠ABC and it is a right triangle

Number 2 is CB and BE

Number 3 is 18

Step-by-step explanation:

Step-by-step explanation:

1.

angle ABD

2.

CB and BE

3.

"bisects" means it is cutting it in half.

so, angles 3 and 4 are both half of the main angle 94°.

94/2 = 47°

angle CBE = angle 4 = 47° = (3x - 7)°

3x - 7 = 47

3x = 54

x = 18