a teacher weighed 145 lbs in 1986 and weighed 187 lbs in 2007. what was the rate of change in weight from 1986 to 2007?

Answer:

x=9

Step-by-step explanation:

Since the sides are the same, the base angles must be the same

8x+2 = 10x-16

Subtract 8x from each side

8x+2-8x =10x-16-8x

2 = 2x-16

Add 16 to each side

2+16 = 2x-16+16

18 =2x

Divide by 2

18/2 =2x/2

9 =x

Answer:

900

Step-by-step explanation:

12 * 3 * 5 * 5 = 900

900

Answer:

It is C

Step-by-step explanation:

Khan Academy I use it trust me

The value of the computer decreases by $800 per year.

A linear equation is given by:

y = mx + b

where y, x are variables, m is the rate of change, b is the initial vale of y (y intercept).

Let y represent the cost of the computer and x represent the years after 2018.

A computer was purchased for $3200 in 2018. It is represented by the point (0, 3200). Also, in  2020 the computer was worth $2000, it is represented by the point (2, 2000). Hence:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-3200=\frac{2000-3200}{2-0}(x-0)\\\\y-3200=-800x\\\\y=-800x+3200[/tex]

Therefore the value of the computer decreases by $800 per year.

Find out more at: https://brainly.com/question/13911928

A linear relationship will always decrease or increase at a constant and uniform rate.

Part 1

(a) The linear equation

In 2018, the value is $3200

In 2020, the value is $2000

Let the number of years since 2018 be x, and the value be y

So, we have the following representation

[tex]\mathbf{(x,y) = (0,3200) (2,2000)}[/tex]

Start by calculating the slope (m)

[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]

So, we have:

[tex]\mathbf{m = \frac{2000 - 3200}{2 - 0}}[/tex]

[tex]\mathbf{m = \frac{- 1200}{2}}[/tex]

Divide

[tex]\mathbf{m = - 600}[/tex]

The equation is then calculated as:

[tex]\mathbf{y = m(x -x_1) +y_1}[/tex]

So, we have:

[tex]\mathbf{y = -600(x -0) +3200}[/tex]

[tex]\mathbf{y = -600x +3200}[/tex]

Hence, the linear equation is [tex]\mathbf{y = -600x +3200}[/tex]

(b) The estimated value in 2022

In 2022, x = 4

So, we substitute 4 for x in the linear equation

[tex]\mathbf{y = -600x +3200}[/tex]

[tex]\mathbf{y = -600 \times 4 +3200}[/tex]

[tex]\mathbf{y = 800}[/tex]

Hence, the value in 2022 is $800

Part 2

The estimated value in 2024

In 2024, x = 6

So, we substitute 6 for x in the linear equation

[tex]\mathbf{y = -600x +3200}[/tex]

[tex]\mathbf{y = -600 \times 6 +3200}[/tex]

[tex]\mathbf{y = -400}[/tex]

Hence, the value in 2024 is -$400

This value does not make sense, because the value cannot be negative

Read more about linear equations at:

https://brainly.com/question/14323743

Step-by-step explanation:

option A is correct answer

Answer:

Should be C if not then A

Step-by-step explanation:

Answer:

x = -11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Equality Properties

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

-3(x + 2) = 16 - x

Step 2: Solve for x

4/3=1.3 repeating

1.3repeatingx9= 12/9

Answer:

draw a circle, and draw the degrees

Step-by-step explanation:

Answer:

[tex] \frac{1}{3} (x - 6) = 16) \times 3 \\ x - 6 = 3 \times 16 \\ x = 48 + 6 \\ \color{yellow} \boxed{ x = 54}[/tex]

Answer:

x=54

Step-by-step explanation:

i used a app its great and best for these types of questions

It's the second one

-40 cuz that's the fee

Answer:

C = 21 + 40t

Step-by-step explanation:

C = initial + variable

The cost, C will be the initial price which is however much money it cost to just print t-shirts for 21 members plus the variable which is the extra 40 for each shirt.

Hope I helped!

[tex]\text{Given that,}\\\\(x_1,y_1) = (2, 3) ,~~~ (x_2,y_2) =(-2,-5)\\\\\\\text{Slope,}~ m = \dfrac{y_2 -y_1}{x_2 - x_1} = \dfrac{-5-3}{-2-2} = \dfrac{-8}{-4} = 2\\\\\\\text{Equation with given points,}\\\\y - y_1 = m(x-x_1)\\\\\implies y -3 = 2(x -2)\\\\\implies y -3 = 2x -4\\\\\implies 2x -y = 1[/tex]

Answer:

  c = 10

Step-by-step explanation:

For quadratic

  y = ax^2 +bx +c

the y-intercept is c.

  c = 10

_____

The y-intercept is the value of y when x=0. Using x=0 reduces the equation to ...

  y = c

Answer: x = 1 and x = -1

Answer:

One Solution

x = -9/2

Step-by-step explanation:

Answer:

Sodas = 148

Hot dogs = 93

Step-by-step explanation:

Let S and H stand for the number of Sodas and Hot dogs, respectively.

We are told that:

H + S = 241

We are also told that:

S = H + 55

Use the second expression for S (H+55) in the first equation:

H + S = 241

H + (H+55) = 241

2H + 55 = 241

2H = 186

H = 93

Since H = 93,

S = 93+55, or 148

148 + 93 = 241  [Checks]

Sodas = 148

Hot dogs = 93

Answer:

x=1.5

Step-by-step explanation:

7x-5=10-3x <=>7x+3x=10+5 <=> 10x=15 <=> x= 3/2 = 1.5

ok done. Thank to me :>

Answer:

2

Step-by-step explanation:

The scale factor between the two shapes is 2 because when you look at the number between the two triangles, 6/3 is 2 and 20/10 is also 2.

Answer:

32+6w=x

Step-by-step explanation:

Johan already has the 32

he is adding 6 every week which gives you the total-x

if it was two weeks, 32+6(2)= 32+12=44

Answer:

2, last

Step-by-step explanation:

1.

The divisibiliy by 9 rule is that if the sum of all digits is divisible by 9 then the number is divisible by 9.

? + 1 +2 +5 +8  = ? + 16

what number is

-greater then 16

-the closest to 16 and divisible by 9

18 so ? = 2 because 2+16 = 18

2 + 1 +2 +5 +8  = 18

18 is divisible by 2 so 21,258 is divisible by 9

2.

The factors of 60 are 1,2,3,4,5,6,10,12,15,20,30,60 because all of those numbers you can multiply by another and the answer will be 60.

1*60 = 60; 2*30 = 60; 3*20=60; 4*15= 60; 5*12= 60; 6*10=60.

Answer:

(-7) × (-8)

Step-by-step explanation:

(-4) × (-6) = 24

(-6) × (-7) = 42

Answer:

c = 58, d = 50

Step-by-step explanation:

c = 180 - 50 - 72 = 58

d = 180 - 72 - 58 = 50

Answer:

C = 58

D = 50

Step-by-step explanation:

C is 58 as all angles on a straight line add up to 180 degrees

D is 50 as all angles within a triangle add up to 180 degrees

(72+58 = 130, 180-130 = 50)

Answer:

64 cm²

Step-by-step explanation:

Given 2 similar figures with ratio of sides = a : b , then

ratio of areas = a² : b²

Here ratio of sides = 3 : 4

ratio of areas = 3² : 4² = 9 : 16

let x be the area of the larger hexagon then by proportion

[tex]\frac{9}{16}[/tex] = [tex]\frac{36}{x}[/tex] ( cross- multiply )

9x = 16 × 36 = 576 ( divide both sides by 9 )

x = 64

Area of larger hexagon = 64 cm²

Answer:

x=3 and y=2

Step-by-step explanation:

These equations line up quite nicely, so let's use the elimination method.

x+y=5

+ x-y=1

-------------

2x=6.

Now that we added the two equations together, we only have x as a variable to solve. We now divide 2 from both sides

x=3.

Now we take our 3 and substitute it into one of the equations. I want to put it in the first one.

3+y=5.

We subtract 3 from both sides to get y=2.

We end up with the answers x=3 and y=2. If you plug them in to check, they make sense. 3+2=5 and 3-2=1. This answer is proven to be correct.

Have a nice day :)

Answer:

a=99

Step-by-step explanation:

The answer is 99 square meters. I took this quiz, so I know the answers. I hope you get a good grade!!

Answer:

Just Multiply L×B And you'll get it

And if you want me to solve then give a image!

Hope its helps!

Answer:

i think d

Step-by-step explanation:

Using proportions, it is found that Talisa's error was at calculating the cost per minute of the game.

In the function:

Talisa's expression is given by:

[tex]f(x) = 12x[/tex]

The cost of using a game facility is $1 for every 12 minutes, hence, the cost per minute is:

[tex]c = \frac{1}{12}[/tex]

And the correct expression for the cost is:

[tex]f(x) = \frac{x}{12}[/tex]

Hence, it can be seen that Talisa's error was at calculating the cost per minute of the game.

A similar problem is given at https://brainly.com/question/24372153

Answer:

[tex]( < 1) + 127 = 180(straight \: line) \\ < 1 = 53 \\ \\ ( < 1) + 100 + ( < 2) = 180(triangle) \\ 53 + 100 + ( < 2) = 180 \\( < 2) = 180 - 153 \\ = 27 \\ \\ [/tex]

[tex]75 + ( < 1) + ( < 2) + ( < 3) = 180 \\ 75 + 53 + 27 + ( < 3) = 180 \\ ( < 3) = 180 - 155 \\ ( < 3) = 25[/tex]

[tex]( < 3) + ( < 4) + 75 = 180 \\ 25 + ( < 4) + 75 = 180 \\ ( < 4) = 180 - 100 \\ ( < 4) = 80[/tex]

Answer:

see explanation

Step-by-step explanation:

(7)

∠ RPS + ∠ QPR = ∠ QPS , substitute values

8x + 7 + 9x + 16 = 40 , that is

17x + 23 = 40 ( subtract 23 from both sides )

17x = 17 ( divide both sides by 17 )

x = 1