When introduced in 1997, a DVD player sold for about $500. Five years later, the average price was $155. Find and interpret the average rate of change in price per year.

Answer:

[tex]x=48[/tex]

Step-by-step explanation:

[tex]\displaystyle{\frac{8(6-x)}{7}={-x}}[/tex]

Multiply both sides by 7:

[tex]\displaystyle{8(6-x)=-7x}[/tex]

Distribute the left side:

[tex]\displaystyle{48-8x=-7x}[/tex]

Add 8x to both sides:

[tex]48=x[/tex]

Answer:

0.140 is represented using 40 thousandth blocks and 100 hundredth blocks

Step-by-step explanation:

Base 10 blocks are blocks in set of four which can be used together to represent any number. Also base 10 blocks can be used to perform mathematical computations like addition, subtraction, addition, division, area and many more.

We have to represent 0.140 using hundredths and thousandths blocks.

0.140 = 140 × 10⁻³ = 40 × 10⁻³ + 100 × 10⁻²

10⁻³ represents the thousandth block and 10⁻² for the hundredth. Hence:

0.140 = 140 × 10⁻³ = 40 × 10⁻³ + 100 × 10⁻²  = 40 thousandth + 100 hundredth

0.140 is represented using 40 thousandth blocks and 100 hundredth blocks

answer :

( 1, 1 / 2 )

explanation :

Midpoint formula :

(x^1, y^1) , (x^2, y^2)

M = ( x^1 + x^2 / 2 ), ( y^1 + y^2 / 2 ).

(x^1, y^1) = (4, 3/4), (x^2, y^2) = (-2, 1/4).

=  ( -2 + 4 / 2,  1/4 + 3/4  / 2 )

= ( 1, 1 / 2 )

Answer:

22b - 15

Step-by-step explanation:

add the dependent variable together

Answer: 23b- 15

Explation:

Answer:

The length of row = 3.2 inches.

Step-by-step explanation:

The length of a chocolate = 4/5 inch

Total number of chocolate pieces placed = 4

Now we have given the length of one chocolate and it is required to find the total length of the row when four chocolates are placed end to end. So in order to find the length of the chocolate row we have to multiply the size of one chocolate by the number of chocolates.

The length of row = Length of one chocolate × number of chocolates

The length of row = 4/5 × 4

The length of row = 3.2 inches.

The piece of chocolate and the number of chocolates in a row can be represented using equations.

A row of chocolate is 3.2 inches long

Given that:

[tex]L = \frac 45[/tex]  ---- Length of a piece

[tex]n =4[/tex] --- number of chocolate pieces

The length of the chocolate in a row is calculated as follows:

[tex]Length = n \times L[/tex]

So, we have:

[tex]Length = 4 \times \frac 45[/tex]

[tex]Length = 4 \times 0.8[/tex]

[tex]Length = 3.2[/tex]

Hence, a row of chocolate is 3.2 inches long

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Answer:

x = 1.5

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask :)

The solution of the equation, (3/2)·(4·x - 2) - 3·x = 5 - (x + 2) is; x = 1.5

An equation is a mathematical statement indicating equivalence between two expressions.

The equation (3/2)·(4·x - 2) - 3·x = 5 - (x + 2) can be solved step by step as follows;

Therefore, the solution of the equation is; x = 6/4, or x = 1.5

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Answer:

[tex]-7[/tex]

Step-by-step explanation:

So the first and last step is to add.

[tex]-36+29[/tex]

And the answer to that is

[tex]-7[/tex]

Hope this helps!

Answer:

c

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Hopefully this helps you :)

I took the test

Answer:

The answer is A.

Step-by-step explanation:

15.125 * 75% = 11.343...

Rounded, that would be 11.344.                      

                                                            ~(_8^(})

Answer:

2⁴

Step-by-step explanation:

4² would be 4x4 not 2x2x2x2

2x2x2x2 would be 2⁴.

Answer:

d=2√13

Step-by-step explanation:

B(1,4) T(4,6)  what is BD

find BT

d=√(x2-x1)²+(y2-y1)²

d=√(4-1)²+(6-4)²

d=√3²+2²

d=√9+4

d=√13 this is haf the distance

BD=2d=2√13

Step-by-step explanation:

The solution is in the above photo

The exponent 5¹⁵ is equivalent to the given expression 5¹⁰ · 5⁵. The correct answer would be an option (C).

The exponent of a number represents the total time required to multiply that number. 8 8 8 may be stated as 83 since 8 is multiplied by itself three times. In this case, 3 is the 'exponent' or 'power' that indicates how many times 8 is multiplied by itself, and 8 is the 'base' that represents the integer being multiplied.

The exponent expression is given as:

5¹⁰ · 5⁵

We have to determine the equivalent exponent to the given expression.

As per the question, we have

5¹⁰ · 5⁵

Simplify using the exponent rule with the same base,

5¹⁰⁺⁵

Adding the powers in the expression, we get

5¹⁵

This exponent is equivalent to the given expression.

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Answer:

91.06

Step-by-step explanation:

Step 1:

810.434 ÷ 8.9

Answer:

91.06

Hope This Helps :)

Answer:

$12.90

Step-by-step explanation:

To solve, multiply the cost before tax with tax, and then add the number gotten to the original amount.

12 x 7.5% = 12 x 0.075 = 0.9

12 + 0.9 = 12.9

$12.90 is your answer.

~

Answer:

After tax, the price should be $12.90

Step-by-step explanation:

multiply 12 by 1.075

Answer:

c

Step-by-step explanation:

c

Answer:

2x

Step-by-step explanation:

x · 1 is equal to x

x / 1 is equal to x

this means that (x · 1 + x / 1) is the same as

x + x

x + x = 2x

Answer:2x+1

Step-by-step explanation:

Step one: Divide

Step Two:Collect like terms

Answer:

y=[tex]\frac{3}{1} x\\[/tex]=+(-7)

Step-by-step explanation:

-f(x) means y

-since 3 isnt a fraction put a one under it

Answer:

i think it's B

hopes this helps

Answer:

A. <O

Step-by-step explanation:

If it was <O, you wouldn't know which angle it was talking about

Answer:

A

Step-by-step explanation:

When you simplify it becomes -2x-10 = -2x-10

Then when you solve  there is a 0 infront of the x so it becomes 0x = 0

Answer:

the anser is A because.. when you simplify it becomes -2x-10 = -2x-10

Then when you solve  there is a 0 infront of the x so it becomes 0x = 0

Answer:

b=7a

Step-by-step explanation:

11a+b/3=6a

or, 11a+b=6a*3( when there is divide in one side it will be multiply when it is in another side)

or, 11a+b=18a(multiplying the number)

or, b=18a-11a( when there is + sign in one side it will be - sing in another side )

or, b=7a

Answer:

Your answer is b

Step-by-step explanation:

27 + 15= 42

a- 9+15= 24x3= 72

b- 9+5= 14x3= 42

c- 3+15= 18x9=162

d- 3+5= 8x9= 72

Hope this helps.

Answer:

2,800

Step-by-step explanation:

3·1000=3000

2·100=200

3000-200= 2,800

Answer:

X=35°

Step-by-step explanation:

Opposite angles x=35°

Answer:

35°

Step-by-step explanation:

The 2 angles that measure 35 degrees and x degrees are vertical angles.

Therefore, they are congruent, and we can set them equal to each other.

x = 35°

So, x is equal to 35 degrees.

Answer: Quadrant 2

=================================================

Explanation:

Check out the diagram below. An example point in the third quadrant is (-2,-5). This quadrant is the southwest quadrant. Reflect the example point over the x axis (aka the line y = 0) and we get (-2,5). This is shown when we go from point A to point B in the diagram.

The reflection rule is [tex](x,y) \to (x,-y)[/tex] showing that only the y coordinate changes from y to -y. If y is negative, then flip to positive, or vice versa. The x coordinate stays the same.

The point started in quadrant 3 and it moves to quadrant 2 after the reflection over the line y = 0.

Side note: all points on the line y = 0 have a y coordinate of 0

Answer:

38.5

Step-by-step explanation:

The area of the trapezoid FGHJ is 33 square units.

Given that, trapezoid FGHJ has vertices at F(2.-3), G(2, 4), H(6,4), and J(19, -3).

We need to find the area of the trapezoid.

The area of a trapezium is defined as the number of unit squares that can fit into it and it is measured in square units (like cm², m², in², etc). A trapezium is a type of quadrilateral that has one pair of parallel sides(generally referred to as bases). The other pair of sides of a trapezium can be non-parallel and are known as legs. The area of a trapezium is the total space covered by a trapezium in a two-dimensional plane.

The area of a trapezium =1/2 (a+b)×h square units.

Now, area=1/2 (4+17)×6=33 square units

Therefore, the area of the trapezoid FGHJ is 33 square units.

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Answer:

339.42m

Step-by-step explanation:

Circumference of a circle=2x22/7x54

=339.42m

Answer:

circumference of circle = 2πr

radius = 54 m

circumference= 2 * 22/7 * 54

= 339.427 m

Answer:

2754

Step-by-step explanation:

=2550

108%=x

108x2550/108

275400/100

2754