The population has decreased by 300 residents over the past 5 years. The same number the same number of residents left each year what was the change in the towns population each year

Answer:

The equation of the line is y = 4x/7 - 1

Step-by-step explanation:

The equation of a straight line can be represented by

y = mx + c

where m represents the slope and c represents the y-intercept

So for;

4x - 7y = 9

7y = 4x - 9

y = 4x/7 - 9/7

The slope here is 4/7

Since the line we are trying to form is parallel, then the slope of the line is 4/7 also, since parallel lines have equal slope

So the equation of the new line will be;

y = 4x/7 + c

To get c, just put the point x = 7 and y = 3

3 = 4/7(7) + c

3 = 4 + c

c = 3-4

c = -1

So the equation of the line is;

y = 4x/7 - 1

Answer:

Step-by-step explanation:

let sale be x

and his salary be y

y=300+0.4x----------1 the old equation

y=450+0.2x----------2 the new equation

for his salary to be the same

equation 1 and 2 must be equal hence

300+0.4x=450+0.2x

solving for x we have

300-450+0.4x-0.2x=0

-150+0.2x=0

0.2x=150

x=150/0.2

x=$750

Answer:

He should use 1/2 of a teaspoon of pepper.

Step-by-step explanation:

From the question, the soup recipe requires 1/4 of a teaspoon of pepper for every 1/2 of a teaspoon of dried basil.

Now, to determine how much pepper Terrell should use if he uses 1 teaspoon of dried basil for the huge pot of soup,

Let the quantity be x

If 1/4 of a teaspoon of pepper requires 1/2 of a teaspoon of dried basil,

then, x teaspoon of pepper will require 1 teaspoon of dried basil

x = (1/4 × 1) ÷ (1/2)

x = 1/4 ÷ 1/2

x = 1/4 × 2/1

x = 2/4

x = 1/2

∴ 1/2 of a teaspoon of pepper is required for 1 teaspoon of dried basil.

Hence, he should use 1/2 of a teaspoon of pepper.

Answer:

3-42x

Step-by-step explanation:

Answer:

After 5 months, she will save the same amount using either option.

She would have saved $450 with either option.

Step-by-step explanation:

Set up expressions to represent the amount of money saved for each saving option, where x is the number of months

The first one can be represented by 30x + 300

The second one can be represented by 50x + 200

Set these equal to each other and solve for x:

30x + 300 = 50x + 200

300 = 20x + 200

100 = 20x

5 = x

So, after 5 months, Tina will save the same amount of money with both options.

To find how much she will save, plug in 5 as x into either expression:

30x + 300

30(5) + 300

150 + 300

= 450

So, she would have saved $450 with either option.

Answer:

equation written in the form Ax + By = C where A and B are coefficients and C is the constant. assigns each input value, one output value. rate that describes how one quantity changes in relation to another quantity. rate of change between any two quantities is the same, or constant.

Step-by-step explanation:

The Slope of the equation represents the constant rate of change.

For example: in the equation [tex]y=3x+9[/tex]      [tex]3[/tex] is the slope

Answer:

3/16

Step-by-step explanation:

Answer:

:)

Step-by-step explanation:

It's 8 percent! Mark brainliest pls

Answer:

3 gold coins

Step-by-step explanation:

6 minus 3 is 3

Answer:

Well for some reason my computer will not allow me to see the first half, but if the question you're asking is just ''1/2 divided by 6'' then I can help!

Step-by-step explanation:

1/2 is equal to .5 so to divide .5 times 6 that would get you .083 (3 repeating).

Hope this helps, and again , my apologies for my computer not showing the first two numbers or emojis

Answer:

the second answer

Step-by-step explanation:

Answer:

25 is the 14th term.

Step-by-step explanation:

The nth term of a sequence is given by the following explicit rule:

f(n) =5.5n - 52

We need to find the position n of the term of value 25. In other words, find n in the equation:

5.5n - 52=25

Adding 52:

5.5n =25+52=77

Solving:

n=77/5.5

n=14

25 is the 14th term.

Answer:

20

Step-by-step explanation: you have to find the amount of change then determine the percent of increase and round it to the nearest percent

       32 -56=24     then round to the nearest number you get 20

Let's see what to do buddy...

____________________________

Reminder:

[tex](a + b)(a - b) = {a}^{2} - {b}^{2} [/tex]

So we need to just Multiply above equations like this :

[tex]x + y = 70[/tex]

[tex]x - y = 40[/tex]

[tex](x + y)(x - y) = 70 \times 40[/tex]

[tex] {x}^{2} - {y}^{2} = 2800 [/tex]

____________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer:

B. [tex] y = kx [/tex] , where k is the constant of proportionality.

Step-by-step explanation:

Given that quantity x and y is directly proportional to each other, which means as one variable increases, the other increases as well. Thus, the constant of proportionality, which is often denotes with the alphabet k, can be represented by the following equation:

[tex] y = kx [/tex] , where, k is the constant of proportionality.

Constant of proportionality, k, is gotten when you divide the value of y by the value of x.

Answer:

-8

Step-by-step explanation:

3x4= 12, 7+3=10x2=20

12-20= -8

Answer:

The value of the expression is -8

Step-by-step explanation:

Numerical value of expressions

We are given the expression:

3x - 2(y + 3)

Let's find its value for x = 4 and y = 7.

Substituting both values into the expression:

3*4 - 2(7 + 3)

Operating:

12 - 2(10)

12-20

-8

The value of the expression is -8

Answer:

105

Step-by-step explanation:

since its  a straight line it would add up to 180 degrees so 52 + 23 + 75 and you need 180 so 180-75 which gives 105 which is the missing angle

Answer:

105 degrees

Step-by-step explanation:

First add the angles that you already know, 52 + 23 = 75, then since we know that the whole thing is a straight angle (180 degrees) 180-75 = 105 degrees.

Hope this helped!

Answer:

the Volume of a cube Given the length of one side, call it the volume of a cube can be found by using the following formula: Volume of any cube = a 3 = a × a × a Examples showing how to find the volume of a cube.

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the mass of an object given it's acceleration and the force acting on it we use the formula

[tex]mass = \frac{force}{acceleration} \\ [/tex]

From the question

force = 45 N

acceleration = 39 m/s²

We have

[tex]force = \frac{45}{39} = \frac{15}{13} \\ = 1.153846...[/tex]

We have the final answer as

Hope this helps you

Answer:

it is C

Step-by-step explanation:

Maybe

I am not really good at math

Answer:

RHS

Step-by-step explanation:

It is given that XY is the perpendicular bisector of WZ. This means that it forms 90-degree angles at Y. (angle XYZ and angle XYW are 90 degrees). (R)

Since there is a right angle at Y, XZ and XW are the hypotenuses. (H)

There is a common line between triangle XYZ and XYW and that is XY. (S)

Therefore you can prove ΔXYZ ≅ΔXYW because of RHS

Answer: 4/3

Step-by-step explanation:

Slope of the line = (y2 - y1) / ( x2 - x1)

= (4 - 0) / ( 3 - 0 )

= 4 / 3

Step-by-step explanation:

yes ........................................ ..

The equivalent expression of 25 - 64 are "a), b) and c)"

The given expression is:

25 - 64

To find, the equivalent expressions are:

a) 25 + 40x - 40x - 64

=  25 - 64, is the equivalent expression.

b) 25 + 13x - 13x - 64

=  25 - 64, is the equivalent expression.

c) (5 + 8)(5 - 8)

Using the algebraic identity,

(a + b)(a - b) =

=

=  25 - 64, is the equivalent expression.

d) ( + 13)( - 13)

Using the algebraic identity,

(a + b)(a - b) =

=

=   - 169, is not a equivalent expression.

e)

Using the algebraic identity,

,  is not a equivalent expression.

∴ The equivalent expression of 25 - 64 are "a), b) and c)".

Answer: option A, B, C are equivalent to [tex]25x^4-64[/tex].

We check each option by simplifying:

A) [tex]25x^4 + 40x - 40x - 64 = 25x^4-64[/tex].

B) [tex]25x^4 + 13x - 13x - 64 = 25x^4-64[/tex]

C) [tex](5x^2 + 8)(5x^2 - 8)=(5x^2)^2-8^2=25x^4-64[/tex]

D) [tex](x^2 + 13)(x^2 - 13)=(x^2)^2-13^2=x^4-169[/tex]

E) [tex](5x^2 - 8)^2=(5x^2)^2-2(5x^2)(8)+8^2=25x^4-80x^2+64[/tex].

So option A, B, C are equivalent to [tex]25x^4-64[/tex].

Learn more: https://brainly.com/question/1214333

Answer:

1.65

Step-by-step explanation:

0.99/3 = .33

.33 x 5 = $1.65

Answer:

Five bananas will cost $1.65