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.

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

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°

Answer:

Infinite amount of solutions

General Formulas and Concepts:

Algebra I

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

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.

Answer:

Sorry just trying to get pts

Step-by-step explanation:

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

Answer:

I need to know the question before I can help?

Step-by-step explanation:

Answer: cool

Step-by-step explanation:

Answer:

238

Step-by-step explanation:

280 times 0.85 = 238

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:

Answer:

4x²+35x+24

Step-by-step explanation:

FOIL the binomials and simplify

4x^2 + 35x + 24

That's all I know.

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.

Answer:

425

Step-by-step explanation:

Answer:

10. y = 49, x = 15

11. y = 4, x = 61

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

Answer:

x>5

Step-by-step explanation:

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]

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

Answer:

x+3=2x-6

2x-x=3+6

x=9

AB=9

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 :)

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)

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

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

Step-by-step explanation:

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

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

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

Answer:

the answer is below

Step-by-step explanation:

accidently made b to x

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