Tyler says he invented a number puzzle.



He asks Clare to pick a number, and then asks her to do the following:



Triple the number



Subtract 7

Double the result



Subtract 22



Divide by 6



Clare says her final answer is -3. Tyler says her original number she thought must have been 3.



How did Tyler know that? Explain or show your reasoning.

Answers

Answer 1
If Clare’s original number was 3 then she would first triple the number
3*3 is 9
Subtract 7 from 9 and you get 2
2 doubled is 4
22 subtracted from 4 is -18
-18 divided by 6 is -3
So Tyler just took Clare’s final answer (-3) and did the opposite if the steps back words
(multiple by 6, add 22, divide by 2, add 7, divide by 3)

Related Questions

What is the angle for a and b

Answers

A is 64. B is I have no clue

Write an equation for the line shown on the graph.
y =3/2 x - 2
y = 2/3x + 1
y = 2/3x - 2
y =3/2 x + 1

Answers

Answer: y = 2/3x +1 (the second option)

Step-by-step explanation:

Equation: y = mx + bm (slope) = 2/3 --> rise over runb (y intercept) = 1

The required equation will be y = -0.5x + 27.5 which is shown on the given graph.

What is the Linear equation?

A linear equation is defined as an equation in which the highest power of the variable is always one.

According to the given graph,

We can see two points are (-3, -1) and (3, 3)

The linear equation will be: y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Here

x₁ = -3, y₁ = -1

x₂ = 3, y₂ = 3

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₂]

Substitute values in the equation, we get

⇒ y - (-1) = (3 - (-1))/(3-(-3))(x-(-3))

⇒ y + 1 = (4)/(6)(x + 3)

⇒ y + 1 = 2/3(x + 3)

⇒ y = (2/3)x + 2 + 1

⇒ y = (2/3)x + 3

⇒ 3y = 2x + 9

Thus, the required equation will be 3y = 2x + 9.

Learn more about the Linear equations here:

brainly.com/question/13738061

#SPJ2

I NEED THE ANSWERS QUICK!!! PLEASE TELL ME ILL GIVE BRAINLIEST!!!!!!!!!!!!

Answers

Answer:

(3,-8) (2,-10)

Step-by-step explanation:

Graph and see where the points are, if they are in the solution, they are correct.

Please mark me brainlist and solve the question I just asked.

Have a good day :)

Quickkk please solve each system by graphing I just need the work not the graph

y = 3x + 2
6x - 2y = -4

Answers

Answer:

Infinite amount of solutions

General Formulas and Concepts:

Algebra I

Solving systems of equations by graphing

Step-by-step explanation:

Where the 2 lines intersect is the solution set to the systems of equations.

If the 2 lines are parallel, they have no solution.

If the 2 lines are the same, they have infinite amount of solutions.

Step-by-step explanation:

y=3x+2

when x=0

y=3(0)+2

y=2

(0,2)

when y=0

3x+2=0

3x=-2

x=+2/3

(-2/3,0)

6x-2y=-4

when x=0

6(0)-2y=-4

-2y=-4

y=2

(0,2)

when y=0

6x-2(0)=-4

6x=-4

x=-4/6

x=-2/3

(-2/3,0)

same line

Multiplying binomials using area model.

Answers

Answer:

4x²+35x+24

Step-by-step explanation:

FOIL the binomials and simplify

4x^2 + 35x + 24

That's all I know.

here is the other part
mario

Answers

Answer: cool

Step-by-step explanation:

HELP!!!

Solve for the value of x
-3x - 8 = -20
A. 4
B. 28/3
C. -28/3
D.-4|

Answers

The answer to the question is: A.4 x=4

Answer:

A. 4,  X = 4

Step-by-step explanation:

-3x - 8 = -20

Move the constant to the right-hand side and change its sign

-3x = -20 + 8

Calculate the sum

-3x + -12

Divide both sides of the equation by -3

x = 4

Solution

x = 4

How many terms are in the expression 4x + 9? *

Answers

2 terms. (4x) and (9). Terms are separated by addition or subtraction but not multiplication or division

I need 5x - 6y = 30 super bad including The Slope and the Y-Intercept, please I need this super fastttt!

Answers

Answer:

the slope will be 5/6 and the y- intercept is going to be (0,-5)

Step-by-step explanation:

use the slope-intercept form y=mx+b to find the slope (M) and the y-intercept (b)

PLZ HELP ME
saeszxdrctfvgybhunjimkoploihuy7gt5rdesxrdfghbinug 6frbed46c5rtf

Answers

Answer:

Sorry just trying to get pts

Step-by-step explanation:

the answer are 1/2 1/3 1/8 1/24​

Answers

The answer is 1/24 because the first spinner has a chance of 1/6 and the second spinner has a chance of 1/8.

Answer:

1/24

Step-by-step explanation:

The first spinner has 6 letters. The letter A is 1 of those letters. So, the probability of the pointer landing on A is 1/6.

The second spinner has 8 numbers. The numbers 3 and 6 are 2 out of those 8 numbers. So, the probability of the pointer landing on 3 or 6 is 2/8 or 1/4.

Now multiple the two probabilities together.

1/6 × 1/4 = 1/24

Hope that helps.

Subtract.

(9x + 7) - (x+3) = ?​

Answers

Answer:

8x+4

Step-by-step explanation:

(9x+7)-(x+3) first - multiply both x and 3 so it will be :

9x+7-x-3 and then collect like terms

9x-x+7-3

8x+4

If it's helpful ❤❤❤

THANK YOU

The elevations of a town is 450 feet above sea level. The elevation of a lake is 25 feet below sea level. What is the difference between the elevations of the town and lake?

Answers

Answer:

425

Step-by-step explanation:

PLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASE

Answers

Answer and Step-by-step explanation:(MAKE ME BRAINLIEST)

Lehana and Marty each opened a savings account with a deposit of $100.
● Lehana earned 2.5% simple interest per year.
● Marty earned 2% simple interest per year.
● Neither of them made additional deposits or withdrawals.
How much more did Lehana receive in interest than Marty after three years?

Answers

Answer:

100*.025*3=7.5 100+7.5=107.5

100*.02*3=6 100+6=106

107.5-106=1.5

$1.50

Step-by-step explanation:

thats it

A rental car company charges drivers a flat fee to rent a car plus $.25 for each mile they drive if a driver paid $100 and drives 160 miles which equation can he use to find his total cost y in terms of the number of miles driven x

Answers

160(.25) + 100 = y

y= 140

PLEASE HELP!!!I NEED IT

Answers

Answer:

10. y = 49, x = 15

11. y = 4, x = 61

how can you find the solution of a system of linear equations by graphing

Answers

Answer:

The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.

Answer:

Use desmos if you can but usually just look at where the lines intersect. there can be more than one point

Step-by-step explanation:

A rectangular piece of wood measuring 360 CM by 280 cm is cut into small identical squares of largest possible length. Find
a the length of each square.
b the total no. of wooden pieces​
Please helpp really would appreciate

Answers

I'm not sure if it's correct..........

Simplify 3^8 x 3^4 divided by 3^2 x 3^8 in index form

Answers

3^2
Here’s the working out;

Ту
5
How many points need to be removed from this graph
so that it will be a function?
4
3
2
1
1 point
O 2 points
O 3 points
O 4 points
2 3 4 5
х
54 -3 -2 -11
-24
-3
.
-4
.

Answers

Answer:

We need to remove 3 points from 3 duplicated pairs so this graph  so that it will be a function.

Step-by-step explanation:

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

From the graph, we can determine the table such as:

x            y

-3           2

-3           3

1             4

1            -4

2           -2

2            -4

It is clear that the values of x = -3, x = 1, and x = 2 are repeated twice.

In other words, there are 3 duplicated pairs.

We know that we can not have duplicated inputs as there should be only 1 output for each input.

Thus, we need to remove 3 points from 3 duplicated pairs so this graph  so that it will be a function.

Decrease £280 by 15%

Answers

Answer:

238

Step-by-step explanation:

280 times 0.85 = 238

HELP ME PLEASE IM DESPERATE

Answers

Answer:

the answer is below

Step-by-step explanation:

accidently made b to x

Pls help i dont understand i really need help

Answers

Answer:

I need to know the question before I can help?

Step-by-step explanation:

Can you tell us the question

PLS HELP!!!!! Use the given parallelogram to find the length of side AB

Answers

Answer:

x+3=2x-6

2x-x=3+6

x=9

AB=9

2. Solve the equation for x.
14 - x = 5x - 4

Answers

Answer:

x=3

Step-by-step explanation:

14-x=5x-4

Add the x from the left side to the right

14=6x-4

and the 4 to the left side

16=6x

6x=18

x=3

Answer:

x = 3

Step-by-step explanation:

If we substitute  x for 3 it will give u the following expression:

14 - 3 = 5 x 3 - 4

If we solve both these expressions they will both give us: 11

This will prove the equation correct

PLZ HELP ASAP!!!Solve the inequality -20+6x>10

Answers

Answer:

x>5

Step-by-step explanation:

The sum of two complimentary angles is 90. . For one pair of complimentary angles, the measure of the first angle is 15 less than twice the measure of the second angle.

Answers

Answer:

[tex]x=55 \textdegree[/tex]

[tex]y=35 \textdegree[/tex]

Step-by-step explanation:

From the question we are told that

Sum of two angle =90

First angle is 15 less than twice the measure of the second angle.

Generally interpreting mathematically we have

Let x be the first angle and second angle y

[tex]x=2y-15[/tex]

Therefore

[tex]2y-15 +y=90[/tex]

[tex]3y=105[/tex]

[tex]y=\frac{105}{3}[/tex]

[tex]y=35 \textdegree[/tex]

Therefore

[tex]x+35=90[/tex]

[tex]x=90-35[/tex]

[tex]x=55\textdegree[/tex]

A 30 ft ladder leans against the side of a house. If the base of the ladder sits 10 ft away from the base of the house, what is the ladder's angle of elevation?

Answers

Answer:

70.5°

Step-by-step explanation:

To solve for the ladder's angle of elevation, we solve using the Trigonometric function of Cosine

= cos θ = Adjacent/Hypotenuse

Where

Adjacent = Distance of the base from the house = 10ft

Hypotenuse = Length of the ladder = 30 ft

cos θ = 10/30

cos θ = 1/3

θ = arc cos 1/3

θ = 70.528779366

Approximately = 70.5°

Therefore, the ladder's angle of elevation is 70.5°

You have two regular polygons
A & B
. The ratio of the interior angles of
A & B
is

21: 22
. The ratio of the exterior angles is
3:2
. How many sides does each polygon have?

Answers

Answer:

First polygon has 16 sides

Second polygon has 24 sides

Step-by-step explanation:

Let the number of sides for first polygon be a and that for the second polygon be b

formula for sum of interior angle is;

180n-360

So for individual interior angle we have;

(180n-360)/n

So for polygon A

(180a-360)/a

For polygon B

(180b-360)/b

Let’s divide both to equate to the ratio

(180a-360/a)/(180b-360)/b) = 21/22

Factor out 180

(a-2)/a * b/b-2 = 21/22

b(a-2)/a(b-2) = 21/22

22b(a-2) = 21a(b-2) •••••• (i)

For the second part

Sum of exterior angle of any polygon is 360

Individual exterior angle is 360/n

for the first polygon;

360/a ;

For the second 360/b

Thus;

b/a = 3/2

2b = 3a ••••••••(ii)

b = 3a/2

11(2b)(a-2) = 21a(b-2)

11(3a)(a-2) = 21a( 3a/2-2)

33a(a-2) = 21a(3a-4)/2

22a(a-2) = 7a(3a-4)

22a^2 - 44a= 21a^2-28a

22a^2-21a^2+28a - 44a = 0

a^2 + 28a - 44a = 0

a^2 -16a = 0

a(a-16) = 0

a = 0 (which cannot be)

or a-16 = 0

a = 16

Recall;

b = 3a/2

b = 3(16)/2

b = 24

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