think of a number. add two. multiply by three. add your original number. multiply by 2. add 2. subtract your original number. divide by 7. add three. subtract your original number. add five. Why is the answer always ten?

Answers

Answer 1

x is the number
adding 2 we get x+2
multiply by 3 we get 3x+6
add original number we get 4x+6
multiply by 2 we get 8x+12
add 2 we get 8x+14
minus original number we get 7x+14
divide by 7 we get x+2
add 3 we get x+5
minus original number we get 5
add 5 we get 10

because the numer you pick cancels out in the end

we can write it out fully into one big equation
if x is the number
then the resulting expression is looking like this
[tex]\frac{2(3(x+2)+x)+2-x}{7}+3-x+5[/tex]

Answer 2

Because doing that is like setting it equal to 10

Related Questions

Determine the slope of a line that makes an angle of 5pi/4 radians with the x-axis.

Answers

check the picture.

π radians is the angle 180 degrees, so π/4 radians is 180°/4=45°.

to construct the angle [tex]5 \frac{ \pi}{4} [/tex] we can proceed as shown in the figure, that is, we open an angle equal to 5 half right angles.

We see that the line making the angle 5pi/4 is the same line making the angle pi/4 radians, that is 45 degrees.

A line making the angle 45 degrees with the x axis, has slope equal to 1.

Remark, we have considered a line passing through the origin, as it represents all other lines making 5pi/4 radians.

Answer: slopi=1

WILL GIVE A BRAINLIEST IF UR RIGHT PLEASE HELP!!

Determine which ordered pair is NOT a solution of y=3x-8.

a.
(8, 16)
b.
(3, 4)
c.
(–6, –26)
d.
(–10, –38)

Answers

A is the correct answer because 16=3(8) - 8 = 16=16

Option B;
The coordinates (3, 4) are not of this function:

y = 3x - 8
x = 3:
y = 3(3) -8
= 9 - 8
= 1 ≠ 4
∴ (3, 4) does not lie on the line y = 3x - 8

The area of a rectangle is 33 m2 , and the length of the rectangle is 5 m less than double the width. find the dimensions of the rectangle.

Answers

By definition, a rectangle is a quadrilateral (4-sided polygon) containing two sets of equal and parallel sides called the length and the width. For determining the area of a rectangle, you simply have to multiply length times width. In this problem, let L be the length and W be the width. Then, we formulate the two independent formulas: formula for area, and formula relating L and W

A = LW = 33
L = 2W-5

Substituting the second equation to the first,

A = 33 = (2W - 5)W
33 = 2W² - 5W
2W² - 5W -33 = 0
W = 5.5 and -3

Since the equation is quadratic, there are two possible roots: 5.5 and -3. However, we can only use the positive value. Thus, W=5.5 m. Consequently,

L = 2(5.5)-5
L = 6 m

Therefore, the dimensions of the rectangle is 6 m by 5.5 m.

A triangle has one leg measuring 10 inches and the hypotenuse measuring 20 inches. the other leg measures 10\sqrt[]{3} 10 3 inches. what type of triangle is represented here?

Answers

From the description given for the triangle above, I think the type of triangle that is represented would be a right triangle. This type of triangle contains a right angle and two acute angles. In order to say or prove that it is a right triangle, it should be able to satisfy the Pythagorean Theorem which relates the sides of the triangle. It is expressed as follows:

c^2 = a^2 + b^2

where c is the hypotenuse or the longest side and a, b are the two shorter sides.

To prove that the triangle is indeed a right triangle, we use the equation above.

c^2 = a^2 + b^2
c^2 = 20^2 = 10^2 + (10sqrt(3))^2
400 = 100 + (100(3))
400 = 400

Student identification codes at a high school are 4-digit randomly generated codes beginning with 1 letter and ending with 3 numbers. there are 26,000 possible codes. what is the probability that you will be assigned the code a123?

Answers

[tex]\dfrac{1}{26,000}\approx3.8\%[/tex]

Find all solutions in the interval [0, 2pi): sin5x+sinx=sin3x

Answers

this is the concept of trigonometry, to solve for the value of x we proceed as follows;
sin5x+sinx=sin3x
this can be written as:
(sinx)^5+sinx=(sinx)^3
dividing through by sin x we get:
(sinx)^4+1=(sinx)^2
let y=(sinx)^2
thus our expression will be given by:
y^2+1=y
y^2-y+1=0
solving the quadratic equation above we get:
y=(-1)^(1/3) or -(-1)^(2/3)
the above is a complex equation, therefore our expression has no defined answer

A rectangle has an area of k2 + 19k + 60 square inches. If the value of k and the dimensions of the rectangle are all natural numbers, which statement about the rectangle could be true?

Answers

the width of the rectangle is k+4 inches

(05.02 LC)

Which equation does the graph below represent?

y = fraction 1 over 4x
y = 4x y
fraction negative 1 over 4x
y = −4x

Answers

Answer:

y=-4x

Step-by-step explanation:

WE need to write the equation for the given graph

In the graph y intercept is (0,0)

The equation of linear graph is y=mx+b

where m is the slope and b is the y intercept

From the given graph y intercept is 0 so b=0

to find slope pick two points from the graph

(0,0) and (1, -4)

slope = [tex]\frac{y_2-y_1}{x_2-x_1} = \frac{-4-0}{1-0} = -4[/tex]

m=-4 and b=0

So the equation becomes

y= -4x+0

y= -4x

Find the equation of the tangent line of f^-1(x) at the point where it intersects the x-axis

Answers

hello :
note :
1 ) f(X0) = Y0 equiv : X0 = f^-1(Y0)
2 ) ( f^-1(Y0) )' = 1/ f'(X0)
in this exercice : X0 = 0
he equation of the tangent line for graph of : f
Y - Y0 = f'(X0) (X- 0)
sp : he equation of the tangent line for graph of : f^-1(x) is :
X -X0 = f'(Y0) (Y -0)

determine the valie of x for which v || w if m2 =100 and. m7 =4x+10

Answers

I believe that x=22.5

Name a pair of supplementary angles.

A. angle A E B and angle C E D
B. angle A E B and angle B E D
C. angle A E C and angle B E D
D. angle B E A and angle C E B

Answers

Well, supplementary angles = 180 degrees. So, B is the answer.

Answer:

B.angle AEB and angle BED.

Step-by-step explanation:

We are given that a diagram .

We have to find a pair of supplementary angles.

Supplementary angles:The pair of angles whose sum is 180 degrees is called supplementary angles.

From given diagram

[tex]\angle AEB+\angle BED=180^{\circ}[/tex]

[tex]\angle AEC+\angle CED=180^{\circ}[/tex]

Hence, option B is true.

Answer:B.angle AEB and angle BED.

George plays basketball in a week-long camp. On Day 2, he scored 8 points. On day 4, he scored 12 points. Explain how to measure his average rate of change

Answers

you got the avg of two days((8+12)\2=10)so you can guess that its around 70 in a week.
avg rate of change is x+2=y

solve for x in the diagram (right triangle smallest side 9,bottom side 12,longest x)

Answers

The hypotenuse (x) is 15, use the Pythagorean Theorem.

For Jane's Uber business, she charges $5 initial fee and $0.10 a mile. Joe's Uber business charges $4 initial fee and $0.20 per mile.
1. Write a function for jane's Uber buisiness
2. write a function for joe's Uber business

Answers

Jane : y = 0.10x + 5...or f(x) = 0.10x + 5
Joe : y = 0.20x + 4...or f(x) = 0.20x + 4

The linear equations to calculate the earning by Jane and Joe's Uber business per ride, given the initial fee and charge per mile:

Jane: y = 5 + 0.1x

Joe: y = 4 + 0.2x

What is a linear equation ?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.

For Jane's Uber business, she charges $5 initial fee and $0.10 a mile.

Let Jane's earning from a ride be $y.

Let the number of miles she drove in that ride be x miles.

Linear equation to calculate the earning from a ride given the number of miles rode: y = 5 + 0.1x

For Joe's Uber business, he charges $4 initial fee and $0.20 a mile.

Let Joe's earning from a ride be $y.

Let the number of miles he drove in that ride be x miles.

Linear equation to calculate the earning from a ride given the number of miles rode: y = 4 + 0.2x

Learn more about linear equation here

https://brainly.com/question/14056312

#SPJ2

Triangle END is translated using the rule (x, y) → (x − 4, y − 1) to create triangle E'N'D'. If a line segment is drawn from point E to point E' and from point N to point N', which statement would best describe the line segments drawn? (1 point

Answers

Here are the choices for this problem:
They are parallel and congruent.
They are perpendicular to each other.
They share the same midpoints.
They create diameters of concentric circles.

The transformation that is done is a translation. Which means that the coordinates will be translated or moved in the coordinate plane without changing the size and the orientation of the image. If is a line was drawn from E to E' and another line was drawn from N to N', the two lines would be parallel and congruent since the translation done to E is the same to that of N.

The answer is
They are parallel and congruent.

This answer is right!!!!! They are parallel and congruent.

Find three consecutive odd integers with the sum of 51.

Answers

well.. hmmmm

bear in mind that, if you multiply any integer, odd or even, by 2, you get an even, no matter how you slice it and dice it, you always get an even number, 17 *2, 34*2, or whatever * 2, is always an EVEN integer.

you can always get an ODD integer, by simply adding or subtracting 1 from any even, say 4 - 1, or 4 + 1, is 3 and 5 respectively, both odd ones.

and you can always get another consecutive odd integer, by simply jumping 2 units from any odd, so 3, 5, 7, 9, 11 and so on, notice, you simply hop two spots from one, on either direction back or forth, and you get another ODD integer.

alrite, with that in mind, let's pick a reference value, say "a" is our reference integer.

so, 2*a or 2a, we know is an EVEN integer, however, we also know that 2a + 1 is an ODD integer, well, there you have it, our first odd integer is 2a + 1.

now, let's hop twice from there to get our second consecutive odd one, (2a + 1) + 2, or 2a + 3, now, let's hop again to get the next consecutive odd one, (2a + 3) + 2, or 2a + 5.

there you have it, our reference integer is "a", our odd integers are those.

alrite... now, we know their sum gives 51, alrite

[tex]\bf (2a + 1) + (2a + 3) + ( 2a + 5) = 51 \\\\\\ 2a + 1 + 2a + 3 + 2a + 5 = 51 \\\\\\ 2a + 2a + 2a +1 + 3 ++ 5 = 51\implies 6a+9=51\implies 6a=51-9 \\\\\\ 6a=42\implies a=\cfrac{42}{6}\implies \boxed{a=7}[/tex]

now, recall, "a" is only our reference integer, so... if you want to get the consecutive odd integers, well, they're just 2a + 1, 2a + 3 and 2a + 5, and since you already know what "a" is, well, just plug it in to get the integers.

How many three-letter "words" can be made from 5 letters "fghij" if repetition of letters (a) is allowed?

Answers

From the given, there are 5 letters to choose from. For the first letter of the three-letter word, we can choose from all 5 of them.

Also, for the second letter of the word, we can also have 5 choices because it is stated that repetition is allowed. Similarly, there are also 5 choices for the last letter of the word. By fundamental principle of counting, we multiply the numbers identified in the sentences above,

n = 5 x 5 x 5 = 125

Thus, 125 words can be formed from the given letters.

The tip of a 15-inch wiper blade wipes a path that is 36 inches long. What is the angle of rotation of the blade in radians to the nearest tenth?
2.4 radians
1.2 radians
2.8 radians
0.4 radians

Answers

The length of the arc is a fraction of the circumference of the circle depending on the length of the radius and the intercepted angle. This can be calculated through the equation,

L = (2πr) x (θ /360)

where L is the length of arc, r is the radius, and θ is the intercepted angle in terms of degrees.

Substituting the known values to the equation,

36 = (2π)(15) x (θ / 360)

We translate the equation to find the value of θ,

θ = (36)(360) / 2π(15)

The value of θ is equal to 137.51°.

This can be coverted to radians through the equation below,

θ (in radians) = 137.51° x (2π rad / 360°) = 2.4 rad

Simplify 10x - 3x + (-5x).
-2x
2x
18x
-18x

Answers

This answer is 2x. Hope it helps!

+(-5x) = -5x so

its 10x - 3x - 5x

= 10x - 8x = 2x Answer

What is the length of the side opposite the 30° angle? HELP

Answers

the answer is B
√3 times as long as the side opposite the 30 degree so the side opposite the 30 degree angle is 5/√3 inches long.

Write the equation in logarithmic form.

25 = 32

A. log32 = 5 • 2

B. log232 = 5

C. log32 = 5

D. log532 = 2

Answers

The equation in logarithmic form is B.log₂32 = 2.

To convert the equation 2⁵ = 32 into logarithmic form, you need to identify the base, the exponent, and the result. The given equation can be interpreted as 2 raised to the power of 5 equals 32.

The general form of a logarithmic equation is: log_base (result) = exponent

In this specific case, we have:

base = 2
result = 32
exponent = 5

Putting it into the logarithmic form, we get: log₂32 = 5

So, the correct option is: B.log₂32 = 2

A group of hikers are 675 ft from the base of Guadalupe Peak, which is 8,749 ft tall. What is the angle of elevation when they look at the top of the Peak? Round to the nearest hundredth.

Answers

tan x = 8749/675
x= arctan (8749/675) arctan = tan^-1
x=85.59 degrees

If y = 4x + 3 were changed to y = -4x + 3, how would the graph of the new function compare with the original?

Answers

4x+3 times -1 reflects the graph about the x axis

-4x-3 adding 6 moves the graph upwards by 6 units

-4x-3+6

-4x+3

Answer:

The graph of y=-4x+3 will be as a reflexion in a mirror of y=4x+3

Step-by-step explanation:

y=4x+3 y=-4x+3

. .

What is the sum of the arithmetic sequence 3, 9, 15..., if there are 26 terms?

Answers

9 - 3 = 6, 15-9 = 6 the difference is 6, So d = 6

First term: a1 = 3

Sn = n*(a1 + an)/2

Sn = n*(a1 + a1 + (n-1)*d)/2

Sn = n*(2*a1 + (n-1)*d)/2

substitute 26 for n
S26 = 26*(2*a1 + (26-1)*d)/2

substitute 3 for a1

S26 = 26*(2*3 + (26-1)*d)/2

substitute 6 for d

S26 = 26*(2*3 + (26-1)*6)/2

S26 = 2,028

Sum of an arithmetic series is:

S = n*(a_1+a_n)/2, that easy.

n is the number of terms, 26 in your case. a_n is a_26. We need to find the series!

a_n = a_1 + (n-1)*d, the difference, d, is 6.

So a_n = 3 + (n-1)*6 = 6*n-3 (check it works: 3, 9, 15, ...)

Now a_26 = 6*26-3 = 153, so finally:

S = 26*(3+153)/2 = 26*78 = 2028

2028 is the answer

What is the simplified expression for ?

Answers

The simplified expression is 16

How much money should be deposited today in an account that earns 6% compounded monthly so that it will accumulate to $9000 in three years?

Answers

The formula is
A=p (1+r/k)^kt
A future value 9000
P present value?
R interest rate 0.06
K compounded monthly 12
T time 3years
We need to solve for p
P=A÷(1+r/k)^kt
P=9,000÷(1+0.06÷12)^(12×3)
P=7,520.80

Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p. n equals 123n=123, p equals 0.85

Answers

Mean = n.p = (123).(0.4) = 49.2
Variance = np(1-p) = (123)(0.4)(1-0.4) =(123)(0.4)(0.6) = 29.52
Standard. Deviation = √variance = √29.52 = 5.43

The mean of the binomial distribution is [tex]$ 104.55 $[/tex], the variance is [tex]$ 15.6825 $[/tex], and the standard deviation is approximately .

To find the mean, variance, and standard deviation of a binomial distribution with given values of [tex]$ n $[/tex] and [tex]$ p $[/tex], we use the following formulas:

Mean [tex]($ \mu $) = $ n \times p $[/tex]

Variance [tex]($ \sigma^2 $) = $ n \times p \times (1 - p) $[/tex]

Standard Deviation [tex]($ \sigma $) = $ \sqrt{\text{Variance}} $[/tex]

Given:

[tex]$ n = 123 $[/tex]

[tex]$ p = 0.85 $[/tex]

Let's calculate each of these:

Mean [tex]($ \mu $)[/tex]:

[tex]$ \mu = n \times p $[/tex]

[tex]$ \mu = 123 \times 0.85 $[/tex]

[tex]$ \mu = 104.55 $[/tex]

Variance [tex]($ \sigma^2 $)[/tex]:

[tex]$ \sigma^2 = n \times p \times (1 - p) $[/tex]

[tex]$ \sigma^2 = 123 \times 0.85 \times (1 - 0.85) $[/tex]

[tex]$ \sigma^2 = 123 \times 0.85 \times 0.15 $[/tex]

[tex]$ \sigma^2 = 104.55 \times 0.15 $[/tex]

[tex]$ \sigma^2 = 15.6825 $[/tex]

Standard Deviation [tex]($ \sigma $)[/tex]:

[tex]$ \sigma = \sqrt{\sigma^2} $[/tex]

[tex]$ \sigma = \sqrt{15.6825} $[/tex]

[tex]$ \sigma \approx 3.9599 $[/tex]

Therefore, the mean of the binomial distribution is [tex]$ 104.55 $[/tex], the variance is [tex]$ 15.6825 $[/tex], and the standard deviation is approximately .

Solve |x| + 7 < 4.
........................

Answers

hello :
|x| + 7 < 4.
|x| < 4.-7
|x| < -3
no reals solutions because for all reals x : |x| ≥ 0

A bond payable is similar to which of the following?

Answers

A Bond payable is are likely similar to note payable. They are similar because they have both written premises to pay the interest and the principal amount on a specific futures dates. They are both liability and also the interest is accrued in current liability.

The answer to your question is "Notes Payable."

Line EF has an equation of a line y = −2x + 7. Which of the following could be an equation for a line that is perpendicular to line EF?

y = 2x − 3
y = 1 over 2x − 3
y = −2x − 3
y = −1 over 2x − 3

Answers

1.

When a line is given in the form y=mx+n,

m is the slope of this line.

For example, the slope of the line y=-2x+7 is -2.

2.

If lines y=mx+n and y=kx+t are perpendicular, then the multiplication of their slopes is -1, that is

m*k = -1, so k=-1/m

3.

any line perpendicular to y=-2x+7 has slope = -1/(-2)=1/2

4.

Among the choices, y=(1/2)x-3 is a line perpendicular to the given line.

Answer:

b. y=(1/2)x-3

Answer:

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

Step-by-step explanation:

Step 1

Find the slope of the line EF

we have

[tex]y=-2x+7[/tex]

The slope of the line EF is equal to

[tex]m=-2[/tex]

Step 2

Find the slope of the line perpendicular to the line EF

we know that

If two lines are perpendicular, then the product of its slopes is equal to minus one

[tex]m1*m2=-1[/tex]

we have

[tex]m1=-2[/tex] -----> slope of the line EF

Find the value of m2

substitute

[tex](-2)*m2=-1[/tex]

[tex]m2=1/2[/tex]

therefore

the equation [tex]y=\frac{1}{2} x-3[/tex] could be an equation for a line that is perpendicular to line EF

Other Questions

Could anything have been done to resolve the issues of the sectional crisis of the 1850s? explain. At what value of x does the graph of the function f(x) have a vertical asymptote?F(x) = 5X/ 2X-6 How often is the number of house representatives assigned to states reallocated? every 2 years every 6 years every 10 years never? Before cities can exist, it is necessary that the civilization have:enough farmlandlarge population of nonfarmerslarge amount of industrycomplicated road systemenough food A 60 year old female has survived a myocardial infarction, the nurse is providing care for impaired ventriclar function because You invest $9000 with a 6% interest rate compounded semiannually. After 9 yrs, how much money is in your account? Solve the quadratic equation by completing the square.x^2-10x+15=0First, choose the appropriate form and fill in the blanks with the correct numbers. Then, solve the equation. Round your answer to the nearest hundredth. If there is more than one solution, separate them with commas.Form:( x + _ )^2 = _or( x - _ )^2 = _Solution:x = _ A mother has 3 kids. Kid A is half the mother's current age. Kid B is 4 years younger than Kid A. In 3 years, Kid C will be 1/5 of his mother's age (not her current age). The sum of all their current ages is the mother's current age. How old is the mother currently? How old is each of her kids? Eight less than a number is seventy-five. What is the number? -67 67 83 In the general election for governor, the democratic candidate received 48 percent of the vote, the republican received 47 percent of the vote, and the libertarian candidate got 5 percent. what is the outcome of the general election? norris company declared cash dividends of $60,000 during the year. cash dividends payable were $20,000 at the beginning of the year and $25,000 at the end of the year. the amount of cash norris co. used for payment of dividends during the year was If trap is an isosceles trapezoid, what is the value of x a rectangular floor is 18 feet long and 12 feet wide. what is the area of the floor in square yards Statistically speaking, about how many times in your life will you be involved in a collision? What do we call the unreasonable restriction of business activities that results from conspiracy among members of a trade? June 6, 1944, the date the allies unleashed an assault against the german arm on the beaches of normandy, is known as The area of an artist's square canvas can hold 113 square inches of paint. What is the approximate length of one side of the canvas? (Approximate to the nearest hundredth inch.) 10.62 inches 10.63 inches 10.64 inches 10.65 inches If you observe an angular unconformity, you could infer that the region had experienced ________. What other standard must people meet if they wish to become naturalized american citizens? Which function is shown in the graph below? Steam Workshop Downloader