can anyone slove this with formula ( operations with rational number)​

Charlotte is 96 years old and Rachel is 292 years old

Let c represent Charlotte's age and r represents Rachels's age

From the question, we have:

c = r - 195

2 years later, we have:

r + 2 = 3(c + 2)

Expand the equation

r + 2 = 3c + 6

Subtract 2 from both sides

r = 3c + 4

Substitute r = 3c + 4 in c = r - 195

c = 3c + 4 - 195

Evaluate the like terms

-2c = -191

Divide by -2

c = 95.5

Approximate

c = 96

Substitute c = 96 in r = 3c + 4

r = 3*96 + 4

Evaluate

r = 292

Hence, Charlotte is 96 years old and Rachel is 292 years old

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The measure of angle IMJ is 62.5 degrees

To solve for angle IMJ, we make use of the following arc intercept theorem.

Angle IMJ = 0.5 * (Arc IJ + Arc LK)

So, we have:

Angle IMJ = 0.5 * (40 + 85)

Evaluate the product

Angle IMJ =62.5

Hence, the measure of angle IMJ is 62.5 degrees

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The equation that shows the relationship between the number of baskets (b) made from outside the three-point line and the number of points scored (p) is p = 3b

In basket ball, If a shot is successfully scored from outside of the three-point line, three points are awarded.

where

Therefore, the equation that shows the relationship between the number of baskets (b) made from outside the three-point line and the number of points scored (p) is as follows:

p = 3b

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Answer:

C

Step-by-step explanation:

to calculate these kinds of questions we can simply plug in the points given in the equation (x,y ) places where 4 is substituted in x place and 8 in y . so in choice "C" if we put 4 in x's place in the equation we would have to divide it by 2 and multiply by 1 which gives us 2 not 8.

Answer:

Step-by-step explanation:

A rational number can be in the form of a whole/natural number, integers, fractions and recurring decimals

In this case, 5 is a whole number, integer (can be a fraction too) , and of course, is a rational number.

As of which options to choose, read the above sentence carefully :)

Answer:

Natural, Integer, Rational, Whole

Step-by-step explanation:

First, we should know the definition of the word choices.

1) Natural Numbers: We can also count it as 'counting numbers'. Natural numbers are numbers that are a whole excluding the number 0. Some examples are 1, 2, 3, 4, 5 ... and so on.

2) Irrationals: They are numbers that cannot be written in a fraction form. Some examples are [tex]\sqrt{2} , \sqrt{3} , \sqrt{4} , \pi ...[/tex] etc.

3) Integers: They are a whole number that can be a negative, positive, or even a zero. Natural numbers are included in integers. Examples are -2, -1, 0, 1, 2, and so on.

4) Rationals: They are numbers that can be expressed in a fraction form, so it is the opposite of 'irrationals'. Examples are -1/2, 1/2, 2/4, 2/1 ... etc.

5) Whole Numbers: They are numbers that aren't a fraction. It can only be a positive number and a zero, so some examples would be 0, 1, 2, 3, 4, 5 ... and so on.

With these in mind, we can now solve the question. The number 5 is a natural, integer, rational, and a whole number.

Answer:

Graph for (x^4+x-1)/(x-1)

Step-by-step explanation:

Graph for (x^4+x-1)/(x-1)

The required, divide is given by [tex]=x^3+x^2+x+2+\frac{1}{x-1}[/tex]

Fraction of polynomial is, in the numerator and in the denominator of a fraction there is polynomial function

[tex]=x^3+\frac{x^3+x-1}{x-1}\\[/tex]

[tex]=x^3+x^2+\frac{x^2+x-1}{x-1}\\[/tex]

[tex]=x^3+x^2+x+\frac{2x-1}{x-1}\\[/tex]

[tex]=x^3+x^2+x+2+\frac{1}{x-1}[/tex]

Thus the required, divide is [tex]=x^3+x^2+x+2+\frac{1}{x-1}[/tex].

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Answer:

Step-by-step explanation:

The answers to the question about the equations are as follows:

1) A. Only add to or remove from one side.

2) B. No

1) As can be seen, the equations' left sides vary, while their right sides remain the same.

We must eliminate the difference in order to make them equal.

Formula A: 5x -2 + x = x -4

Formula B. 5x + x = x- 4

Equation B is created by multiplying the left side of equation A by 2.

The available response in this instance is:

A. Only increase or decrease an amount from one side.

2) The answers to the equations will differ since they are not identical.

Answer option:

B. No

The question was incomplete. The complete question was as follows:

Give two answers about Equations A and B:

A. 5x-2+x = x-4

B. 5x+x = x-4

1) From Equation A, how do we derive Equation B?

A. Only increase or decrease an amount from one side.

B. Increase/decrease the same amount on both sides.

C. Use the distributive principle to rewrite one (or both) sides.

D. Rewrite one (or both) sides using similar wording.

2) Are the equations equal in the light of the initial response? Do they share the same solution, in other words?

(1) Yes (2) No

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Answer:

Step-by-step explanation:

Answer:

kskwnneokjwonannwknwonw

Answer:

Hence we prefer FOIL method when multiplying two binomials.

Step-by-step explanation:

Explanation

Answer:

C) Similar - SAS

The tax paid by Rebecca on each cupcake was $0.15 or 15 cents, in the buying of 15 cupcakes for $47.25, where the cost of each was $3 plus taxes.

The tax is the amount paid to the government for buying and selling of goods are services.

In the question, we are informed that Rebecca bought 15 cupcakes, where each cupcake cost $3 plus taxes and the total bill to Rebecca was $47.25.

It implies that the cost of 15 cupcakes along with their taxes = $47.25.

Therefore, the cost of 1 cupcake along with its taxes = $47.25/15 = $3.15.

The cost of 1 cupcake is given as $3 plus taxes.

The total cost of 1 cupcake was $3.15.

Thus, the tax on 1 cupcake = $3.15 - $3 = $0.15 = 15 cents.

Thus, The tax paid by Rebecca on each cupcake was $0.15 or 15 cents, in the buying of 15 cupcakes for $47.25, where the cost of each was $3 plus taxes.

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Answer:

KE = 1/2 mv²

In terms of Mass Velocity

KE = mv²

Answer: [tex]KE=\frac{1}{2} mv^{2}[/tex]

Step-by-step explanation:

- the correct equation is: [tex]KE=\frac{1}{2} mv^{2}[/tex]

- KE is kinetic energy

- m is mass

- v is velocity

besides that, i don't really know how to explain it but hope this helps :)

The slope-intercept form of the equation of the line containing the points (−2, 4) and (6, 0) will be y =0.5 x+ 5.

A numerical assessment of a line's angle relative to the ground is known as the slope.

The inclination of any line, ray, or line segment is the fraction of the perpendicular to the horizontal distance between any two positions on it.

The slope of the line is found as;

[tex]\rm m = \frac{y_2-y_1}{x_2-x_1} \\\\ m = \frac{0-4}{6-(-2)} \\\\ m = \frac{-4}{8} \\\\ m = \frac{-1}{2}[/tex]

The standard line equation is;

y-y₁=m(x-x₁)

[tex]\rm y-4= \frac{-1}{2}(x-(-2)) \\\\ 2y-8 = x+2 \\\\ 2y =x+10 \\\\ y = 0.5 x + 5[/tex]

Hence, the slope-intercept form of the equation of the line containing the points (−2, 4) and (6, 0) will be y =0.5 x+ 5.

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Answer is 41

Hope it help you

Answer:

He can cut 2 1/3 pieces, so a is the correct answer.

Step-by-step explanation:

[tex] \frac{6}{7} x = 2[/tex]

[tex]x = 2 \div \frac{6}{7} = 2 \times \frac{7}{6} = \frac{7}{3} = 2 \frac{1}{3} [/tex]

Answer:

[tex]2\frac{1}{3}[/tex]

Step-by-step explanation:

So this question is essentially asking how many 6/7s can fit into 2/1. Or in other words, what is 2 divided by 6/7. This gives you the equation: [tex]\frac{2}{1}\div\frac{6}{7}[/tex]. Whenever you're dividing by a fraction, you just keep the first fraction (don't change anything), change the operation (from division to multiplication) and "flip" the fraction so if you had the fraction a/b it's now b/a. This gives you the equation: [tex]\frac{2}{1}*\frac{7}{6}[/tex]. You can now just multiply the denominator and numerator. This gives you the fraction: [tex]\frac{2*7}{1*6}[/tex] which simplifies to [tex]\frac{14}{6}[/tex]. This can be further simplified by dividing both the numerator and denominator by 2. If you don't know why this keeps the original value think of it as multiplying the fraction by [tex]\frac{0.5}{0.5}[/tex] or [tex]\frac{\frac{1}{2}}{\frac{1}{2}}[/tex]. Which is technically multiplying the value by 1, so it should keep the original value, you're just simplifying the numerator and denominator. Simplifying it, gives you the fraction: [tex]\frac{7}{3}[/tex]. This can be a mixed fraction by splitting it up into two parts: [tex]\frac{6}{3}+\frac{1}{3}[/tex]. Which when added is the same thing, except the second side simplifies, and you get [tex]2\frac{1}{3}[/tex]

Answer:

x^2 -4

Step-by-step explanation:

(x-2)(x+2)

We want to FOIL

First  x*x = x^2

Outer  x*2 =2x

Inner  -2 *x = -2x

Last  -2*2 = -4

Add them together

x^2+2x-2x-4

Combine like terms

x^2 -4

Answer:

y = -7/8x - 1 1/2

Step-by-step explanation:

m = y2 - y1/ x2 - x1 is how you find the m in y=mx+b

(I converted the fractions to decimals)

substitute you slope and (x,y)

y = mx + b

-5 = -0.875(4) + b

-5 = -3.50 + b

-1.50 = b

b = -1.50

then just convert back to a fraction

Explanation:

From the given graph of f(x) = √-x

After analyzing,

Above from all options, D.) The domain of the function is all real numbers less than or equal to 0.

Answer:Answer: We know it has a length of 10 cm, and the width is h times 2.

Step-by-step explanation: So the equation we should write is volume = 10 x (h x 2) x h.

Step-by-step explanation:

Answer:

x + 5y = 40

Step-by-step explanation:

the equation of the line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - [tex]\frac{1}{5}[/tex] and c = 8 , then

y = - [tex]\frac{1}{5}[/tex] x + 8 ( multiply through by 5 to clear the fraction )

5y = - x + 40 ( add x to both sides )

x + 5y = 40 ← in standard form

⊰________________________________________________________⊱

Answer:

See Below.

Step-by-step explanation:

[tex]\large\begin{gathered}\sf{First, \ let's \ write \ the \ equation \ in \ slope-intercept \ form.}\\\sf{ Slope-Intercept \ form \ is \curvearrowright} \\\boxed{y=mx+b}}\\\sf{Substitute \ the \ pieces \ of \ information \ we \ have \curvearrowright\\\sf{ y=-\dfrac{1}{5}x+8}\\\sf{Now, if \ we \ multiply \ the \ entire \ equation \ by \ 5, \ we'll \ have:} \\\sf{5y=-x+40}\\\sf{And \ finally, move \ \bf{x} \ \sf{to \ the \ left \ with \ the \ opposite \ sign: x+5y=40.}\end{gathered} \bigstar \\\bigstar[/tex]

Done!!

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[tex]\overbrace{C}\underbrace{A}\overbrace{L}\underbrace{L}\overbrace{I}\underbrace{G}\overbrace{R}\underbrace{A}\overbrace{P}\underbrace{H}\overbrace{Y}[/tex]

Step-by-step explanation:

monthly interest rate calculation example convert the annual rate from a percent of a decimal by dividing by 100 / 100 is equal to 0.10.9 divide that number 12 to get monthly interest rate in the decimal forms 0.10 upon 12 is equal to zero zero eight three

The average rate of change of the function from n = 1 to n = 5 is 3.36 plants per day

The function is given as:

f(n) = 10(1.02)^n

The maximum height is 11.04

So, we have:

10(1.02)^n = 11.04

Divide by 10

1.02^n = 1.104

Take the log of both sides

n * log(1.02) = log(1.104)

Divide by log(1.02)

n = 5

Hence, the reasonable domain is 0 ≤ n < 5

We have:

f(n) = 10(1.02)^n

Set n to 0

f(0) = 10(1.02)^0

Evaluate

f(0) = 10

Hence, the y-intercept is 10

We have:

f(n) = 10(1.02)^n

Calculate f(1) and f(5)

f(1) = 10(1.02)^1 = 10.2

f(5) = 10(1.02)^5 = 10.2

The average rate is then calculated as:

m = (f(5) - f(1))/(5 - 1)

This gives

m =(11.04 - 10.2)(5 - 1)

Evaluate

m = 3.36

Hence, the average rate of change of the function f(n) from n = 1 to n = 5 is 3.36

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El número máximo de ocupantes es el máximo común divisor de los dos números, es decir, 10 personas por cabaña. Se debe pagar siete cabañas para minimizar costes.

En esta pregunta desconocemos la capacidad de cada cabaña, solo conocemos que todas las cabañas tienen el mismo aforo. En consecuencia, puede haber más de una respuesta, aunque con la restricción de que cada cabaña tiene el mismo número de hospedados.

Inicialmente, descomponemos factorialmente los números de adultos y niños:

Niños

40 = 2³ × 5

Adultos

30 = 2 × 3 × 5

El número máximo de ocupantes por cabaña es el máximo común divisor de los dos números, es decir, 2 × 5 = 10. Por tanto, los excursionistas deben pagar siete cabañas para minimizar costes.

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Answer:

[tex]\sf \boxed{ \sf y - 3 = \dfrac{3}{2} (x - 6)}[/tex]

Explanation:

[tex]\sf Given \ equation: y = \dfrac{3}{2} x - 5[/tex]

Comparing it with slope intercept form "y = mx + b" where 'm' is slope and 'b' is y-intercept.

Here slope: 3/2 and y-intercept: -5

Parallel slope has the same tangent slope.

Pass through point (x, y) = (6, 3)

Equation:

[tex]\sf y - y_1 = m(x - x_1)[/tex]

[tex]\rightarrow \sf y - 3 = \dfrac{3}{2} (x - 6)[/tex]

Answer:

C. Yes, she used stratified random sampling.

Explanation :

Stratified random sampling is a random method of sampling where researcher divided the population into sub group and the randomly select from these group to find the final sample.

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

The measure of angles x and y are 90 degrees and 59 degrees.

A rhombus is a two-dimensional shape having four parallel opposite pairs of straight, equal sides. This shape resembles a diamond and is what you'd find on a deck of cards to represent the diamond suit. Rhombuses can be encountered in a variety of common situations.

We have shown the rhombus in the picture.

As we know the diagonals bisect at a 90-degree angle.

So angle x = 90 degree

To find the value of y:

31 + y + 90 = 180

y = 59 degrees

Thus, the measure of angles x and y are 90 degrees and 59 degrees.

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[tex]y = \frac{1}{x - 3} + 7[/tex]

[tex]x = \frac{1}{y - 3} + 7[/tex]

[tex]x - 7 = \frac{1}{y - 3} [/tex]

[tex]y - 3 = \frac{1}{x - 7} [/tex]

[tex]y = \frac{1}{x - 7} + 3[/tex]