2=2 how to get the answer for this

Christopher's age given the sum of the ages of the three siblings is 23.

An odd number is a number that is not perfectly divisible by 2. An odd number can be a positive number or a negative number. An example of an odd number is 3 and 7.

Consecutive odd integers are odd integers that follow each other on the number line. Consecutive odd integers increase by a value of (x + 2). Examples of consecutive odd integers are 11, 13, 15.

Let x represent the youngest sibling's age

Second sibling's age : x + 2

Christopher's age : x + 4

x + x + 2 + x + 4 = 63

3x + 6 = 63

3x = 63 - 6

3x = 57

x = 57 / 3

x = 19

Christopher's age : x + 4 : 19 + 4 = 23

To learn more about odd numbers, please check: https://brainly.com/question/10850080

#SPJ1

Answer:

[tex]\frac{4080n+1585d-188}{240}[/tex]

Step-by-step explanation:

I simplified it to the best possible state

Answer:

5x^2 -  6x -9

Step-by-step explanation:

The inverse of the function y = log(x ₋ 6) is y = 10ˣ + 6.

Given the function is :y = log₁₀ (x ₋ 6)

we are asked to find the inverse of the function.

steps to find inverse function are:

Change f(x) to y to get y = ax + b for the provided function f(x) = ax + b.To get x = ay + b from the equation y = ax + b, replace x with y and y with x.

Here, find y and solve for x = ay + b.

Then we get :

y = (x - b/a).

Finally, we can substitute y = f⁻¹(x) with f⁻¹(x) = (x - b)/a.

now interchange the positions of x and y in the function.x = log₁₀(y ₋ 6)

the next step is to isolate the dependent variables.

y = 10ˣ + 6

hence we get the inverse of the function y = log₁₀ (x ₋ 6) as y = 10ˣ + 6.

Learn more about Inverse functions here:

brainly.com/question/14391067

#SPJ4

After solving the given equation ln(x+2)-ln4=3, the value of [tex]x=e^{4 \ln +3}-2[/tex].

So,

Then,

Therefore, after solving the given equation ln(x+2)-ln4=3, the value of [tex]x=e^{4 \ln +3}-2[/tex].

Know more about equations here:

brainly.com/question/2972832

#SPJ4

Given the function and interval, the average rate of change of the function over the given interval is 1.

The average rate of change of a function is calculated by dividing the change in y-values over the change in x-values of the two point.

r = ( f(1) - f(0) / ( (1) - (0) )

Given the data in the question;

f(x) = 2x² - x - 2

Intervals: [0, 1]

Plug the given values into the average rate of change formula and simplify.

r = ( f(1) - f(0) / ( (1) - (0) )

r = ( (2(1)² - (1) - 2) - ( 2(0)² - (0) - 2 )) / ( (1) - (0) )

r = ( (2 - 1 - 2) - ( 0 - 0 - 2 )) / 1 -0

r = ( (-1) - (-2 )) / 1r = ( -1 - (-2 ) / 1

r = ( -1 + 2 ) / 1

r = 1/1

r = 1

Therefore, the average rate of change of the function over the given interval is 1.

Learn more about average rate of change: https://brainly.com/question/23715190

#SPJ1

The average rate of change of the function f(x) = 2x² - x - 2 over the intervals of 0 to 1 is 1.

The average rate of change of a function is calculated by dividing the change in y-values over the change in x-values of the two point.

AVR = ( f(1) - f(0) / ( (1) - (0) )

Given the data in the question;

Plug the given values into the average rate of change formula and simplify.

r = ( f(1) - f(0) / ( (1) - (0) )

r = ( (2(1)² - (1) - 2) - ( 2(0)² - (0) - 2 )) / ( (1) - (0) )

r = ( (2 - 1 - 2) - ( 0 - 0 - 2 )) / 1 -0

r = ( (-1) - (-2 )) / 1

r = ( -1 - (-2 ) / 1

r = ( -1 + 2 ) / 1

r = 1/1

r = 1

The average rate of change of the function f(x) = 2x² - x - 2 over the intervals of 0 to 1 is 1.

Learn more about average rate of change here: https://brainly.com/question/23715190

#SPJ1

Answer:of not

Step-by-step explanation: ops

The fraction that Alice, Billy, and Anna should bring when they are spending the weekend baking cookies for winter holiday is 11/12 cups.

It should be noted that based on the information, for each batch of cookies, they’ll need 2 1/2 cups of flour and 1 1/4 cups of butter.

In this case, it should be noted that there are 3 people.

The fraction will be:

= (2 1/2 + 1 1/4) / 3

= 3 3/4 ÷ 3

= 11/12

Therefore, the fraction will be 11/12 cups for each person.

Learn more about fractions on:

brainly.com/question/17220365

#SPJ1

Alice, Billy, and Anna are spending the weekend baking cookies for.winter holiday gifts. For each batch of cookies, they’ll need 2 1/2 cups of flour and 1 1/4 cups of butter. Each person contributed supplies from their mothers’ kitchens and met at Anna’s house. What fraction should each person bring?

After solving, the factors of equation x²+x-6 are:

So,

Given the equation: x²+x-6

Then,

Factors are: (x+3) and (x-2)

Therefore, after solving, the factors of equation x²+x-6 are:

Know more about equations here:

brainly.com/question/2972832

#SPJ4

Answer:
A. 5 || how? uh counting; -7x      -1/6y      +2z      -xy         +28

B. 3 (2;x | 2;y | 1;z)

C. 28

Hope this helps!

--Blu

Answer:

The correct answer is A.

For all the values of 'd' the expression 4-d will be less than 4+d.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

Given that 4−d < 4+d. The inequality expression will be solved as:-

4−d < 4+d

4 - 1 < 4 + 1

3 < 5

4 - 2 < 4 + 2
2 < 6

It is concluded that for all the values of d in the given expression the portion 4 - d will be less than 4 + d.

To know more about inequality follow

https://brainly.com/question/24372553

#SPJ1

Answer:  1.   x-8

               2.   x/8

               3.   x squared

               4.  4x

When they say "a number" that just means "x".

According to the given cubic equation  8x³-10x² - 21x + 18 = 0 the other value of x will be 4.

Traditionally, a cubic problem can be solved by converting it to a quadratic equation and then solving it using factoring or the quadratic formula. A cubic equation, like a quadratic equation, has three roots.

The typical strategy for solving a cubic problem is to convert it to a quadratic equation and then solve the quadratic using the standard methods, either factoring or using the formula. All of them are cubic equations. A cubic equation, like a quadratic equation, may have two or three real roots.

8x³-10x² - 21x + 18 = 0

x= 2

substituting the value in the equation we get:

8x³-10x² - 21x + 18 = 0

8(2)³-10(2)² - 21(2) + 18 = 0

68 - 40 - 42 + 18 = 0

4 = 0

According to the given equation  8x³-10x² - 21x + 18 = 0 the other value of x will be 4.

To know more about cubic equation visit:

https://brainly.com/question/13730904

#SPJ9

The hypotenuse of the right triangle is found to be 6√2 ft.

The formula is as follows:

H² = B² + P²

where, H is the hypotenuse.

B is the base

P is the perpendicular.

In the given question, hypotenuse is to be calculated.

Lets, base B = 6 ft and

Perpendicular P = 6 ft.

Thus, put the values in the formula;

H² = 6² + 6²

H² = 2×6²

Taking square root on both sides.

H =  6√2

Thus, the value of the hypotenuse if the right angled triangle is found as  6√2 ft.

To know more about the Pythagorean theorem, here

https://brainly.com/question/231802

#SPJ9

Answer:

Step-by-step explanation:

First of all AD is 9 units long. Anything less than or equal to 9 is not an answer because the scale factor is greater than 1. That means that anything over 9 will work.

So the answer must be 12 or 15 from those answers given.

$ 86.67 , Steve and his five friends has to pay $86.67 each to rent limo for four hours.

According to the question,

rent of limo for five hours = $130

now by multiplication ,

rent of limo for four hours = $130 * 4

                                           = $520

now we know that there are six people including Steve hence we divide this $520 by 6 to get the share of each individual,

by division ,

hence the amount for each = $520 / 6

                                              = 86.666666

amount round up to the nearest dollar is $86.67

Read more about multiplication here :

https://brainly.com/question/5992872

#SPJ4

The equation that represent amount of oil in the tank at x minutes is

6- 0.2t

A mathematical statement that shows that two mathematical expressions are equal.

Given:

rate of filling the tank = 0.2 feet/ minute

After 15 minutes,

height = 6 feet

let the time take be x minutes

So, the equation that represent amount of oil in the tank at x minutes.

=6- 0.2t

Learn more about equation here:

https://brainly.com/question/12788590

#SPJ1

Answer:

0 with 0 2 pi cot0=-10 am not sure what It is

The simplified value of radical expression 4√16 x¹² is 2x^3.

By considering the given expression

4√16 x¹²

=(16x^12)^1/4

=(2^4)^1/4( x^12)^1/4

=2x^3.

An expression with a square root is referred to as a radical expression. Radicand: A value or phrase contained within the radical symbol. Equation with radical expressions and variables as radicands is referred to as a radical equation.

The 'V'-shaped portion of the radical symbol will have a superscript number when it is used to represent any root other than a square root. For instance, the expression 3(8) denotes the cube root of 8.

The radical symbol, which resembles a check mark, the index, a small number written outside the radical symbol, and the radicand, a quantity written beneath the horizontal bar of the radical symbol, are the three main components of the radical expression ab.

Learn more about radical symbol here

https://brainly.com/question/27847549

#SPJ4

The value of x can not be told as there is no answer to the question "x+26".

Hence, can not be solved and it is left as 'x+26'

The fraction 13/20 of Duo's dumplings have vegetarian fillings.

A fraction having whole numbers for the numerator and denominator. A fraction is a number of the form: ab where a and b are integers and b≠0. It represents the division of two numbers.

Given:

Duo makes 65 percent of his dumplings with vegetarian fillings.

According to given question we have

A percentage is a number or ratio expressed as a fraction of 100.

65 percent

=65 %

=65/100

Simplify fraction into simpler fraction,

⇒13/20

Therefore, the fraction 13/20 of Duo's dumplings have vegetarian fillings.

Learn more details about fraction here:

https://brainly.com/question/10354322

#SPJ1

The algebraic expression which correctly represents the verbal description; The total cost of the order, t, is 11 dollars multiplied by the number of pizzas ordered, p is; t = 11p.

It follows from the task content that the expression which correctly represents the verbal description be determined.

On this note, since total cost is; t and the number of pizzas ordered is; p.

The required expression is therefore;

t = 11 × p

t = 11p.

Ultimately, the verbal representation of the algebraic expression where total cost of the order, t, is 11 dollars and number of pizzas ordered, is p is given by t = 11p.

Read more on algebraic representation;

https://brainly.com/question/2164351

#SPJ1

The sole of AB = 1/7, BC = -5/2, CD= -1/6, DA= -5/3

Here we have to find the slope of the side of the quadrilateral

The formula of the slope between A(x1, y1), B (x2, y2)

  slope = (y2 - y1)/( x2- x1)

Slope of AB , where A = (-5, 3), B = (2,2)

AB = (2-3)/ ( 3- (-5))

     = 1/ 8

Slope of BC, where B= (2,2 ), C = (4, -3)

BC = (-3 -2)/ (4-2)

     = -5/2

Slope of CD, where C= (4,-3), D=(-2,-2)

CD = (-2-(-3))/ (-2-4)

     = 1/ (-6)

     =-1/6

Slope of DA , where D=(-2,-2), A=(-5,3)

DA= (3-(-2))/(-5-(-2))

    = (3+2)/(-5+2)

    = 5/-3

     =-5/3

Therefore the slope of AB, BC, CD, DA = 1/7, -5/2, -1/6, -5/3 respectively.

To know more about the Slope of the line refer to the link given below:

https://brainly.com/question/16949303

#SPJ1

The midpoint of the segment is (7, 4).

According to the section formula-

If a point (x , y) divides a line in the ratio of m : n, where the two endpoints of the line are (x1, y1) and (x2, y2), then-

x = (nx1 + mx2)/ (m + n)

and y = (ny1 + my2)/ (m + n)

Here, we are given two points- (9, 6) and (5, 2)

Therefore,

x1 = 9, y1 = 6

x2 = 5, y2 = 2

Since, midpoint divides a line segment into two equal halves, m : n = 1 : 1

Now, substituting the values in the section formula we get-

x = (9 + 5)/2

x = 14/2

x = 7

and y = (6 + 2)/2

y = 8/2

y = 4

Thus, the midpoint of the segment is (7, 4).

Learn more about the section formula here-

https://brainly.com/question/2287272

#SPJ9

Answer:

42,307,0102,014 is the number form

The answer to this question is:

No. of cups of milk will Paula use = 3/8

Given that recipe requires 3/4 cups of milk.

Paula is making half (1/2) of the recipe.

And we are asked to find that No. of cups of milk will Paula use.

To solve this question,  we have to multiply the quantity of milk required by the quantity she is going to make.

The quantity of milk required * the quantity she is going to make

= 3/4 * 1/2

= 3/8

Therefore, No. of cups of milk will Paula use = 3/8

Learn more about Fraction here: https://brainly.com/question/26718033

#SPJ9

Answer:

-28

Step-by-step explanation:

Simplify those in parenthesis first.

( 30 - 3) - (60 - 5)

27 - 55

= -28