Explain why y +1 = 1.2(x+2) and y-5= 1.2(x – 3) represent the same line, despite having
different equations.

Answer:

2y = 8

Step-by-step explanation:

4x+3y = 17

- ( 4x+y = 9)

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

Distribute the minus sign

4x+3y = 17

-  4x -y =- 9

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

  0x +2y = 8

Answer:

2y = 8

Step-by-step explanation:

4x+3y=17

-4x-y=9

_______

0+2y=8

2y=8

Divide the amount of tax by the rate of tax.

3.20 / 0.02 = 160

The cost of the camera is $160

If the sales tax in a certain city is 2% and man paid sales tax of $3.20 then the cost of the camera, exclusive of sales tax is $156.80.

Sales tax is the tax that is paid by buyer to seller on the amount of goods sold.

We have been given that sales tax in a certain city is 2% and sales tax paid by man for camera is $3.20 and we have to find the cost of the product excluding sales tax.

Sales tax=tax percentage*total price

3.20=2/100*total price

Total price=3.20*100/2

=$160

Price excluding sales tax=total price - sales tax

=160-3.20

=157.80

Hence if the sales tax in a certain city is 2% and man paid sales tax of $3.20 then the cost of the camera, exclusive of sales tax is $156.80.

Learn more about sales tax at https://brainly.com/question/9437038

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Answer: 5 bags of sand

Step-by-step explanation:

Given

There are 8 elementary schools

3 Tons of sand is needed

It is contained in a 50- Pound bag

1 ton is equivalent to 2000 Pound

No of 50- Pound bag required is

[tex]\Rightarrow n=\dfrac{2000}{50}\\\\\Rightarrow n=40[/tex]

These 40 bags will be required in 8 schools. So, each school requires

[tex]\Rightarrow \dfrac{40}{8}=5\ \text{bag}[/tex]

Answer:

The number of bags required for each school is 16.53

Step-by-step explanation:

Number of schools = 8

Total sand required = 3 tons

mass of each bag = 50 pounds

Sand required for each school = 3 ton/ 8 = 3000 / 8 kg = 375 kg

1 pound = 0.454 kg

1 kg = 2.205 pounds

So, 375 kg = 826.7 pounds

So, the number of bags required for each school =  826.7/50 = 16.53 bags

Answer:

No

Step-by-step explanation:

Kilogram is the unit of weight. Kilogram is the measure of how much matter or the mass an object has in it. Kilogram is the bigger unit of measurement while gram and milligram are the smaller units to measure the weight of any object.

We know,

1 kilogram = 1000 gram x 1

So, 1000 gram is equal to 1 kilogram

That means, 39,000 gram is equal to 39 kilogram.

In the question it is asked whether 1000 pillows times 300 is equal to 39 kilogram sofa or not.

The answer is not correct, because we do not know the weight of the 1000 pillows.

And also, 1000 x 300 will give you 300,000 and not 39 kilogram or 39,000 grams.

Answer:

x ≈ 1.4

Step-by-step explanation:

Using the sine ratio in the right triangle

sin50° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{RS}{RT}[/tex] = [tex]\frac{x}{1.8}[/tex] ( multiply both sides by 1.8 )

1.8 × sin50° = x , then

x ≈ 1.4 ( to the nearest tenth )

Answer:

12 oz

Step-by-step explanation:

3.50/12  = $.29   5.40/18 =$ .30

Answer:

Step-by-step explanation:

8.2 comes between 8 and 9

8.2 = [tex]8\frac{2}{10}[/tex].

As you know, the interval between 8 and 9 is divided into 10 equal parts and each part is 1/10 or 0.1.

Answer:

27

Step-by-step explanation:

you have to break it down into 5 parts separating the middle part by itself being 3x3=9+ the 4 other parts that is 1.5x3=4.5x4=18 add them together and it's 27

Answer:

It is a tetrahedron.

Answer:

B I'm thinking, I have to answer any question so I might be wrong here, also eat some salad it's nasty I know

Answer:

option c. ±[tex] \sqrt{65} [/tex]

Step-by-step explanation:

In the given right angled triangle we can see that :-

by Pythagoras theorem

hypotenuse² = adjacent ² + opposite ²

9² = 4² + x²

81 = 16 + x²

combining like terms

81 - 16 = x²

65 = x²

x = ±[tex] \sqrt{65} [/tex]

Answer:

its 4

Step-by-step explanation:

Answer: See below

Step-by-step explanation:

This relates to the usage of water displacement.

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

EXTRA (Only for advanced purposes, if you do not understand, it is totally fine)

Refer to the attachment below to finish the question.

Assuming the water levels are integer,

Then, we do the fourth step which is subtraction

Hope this helps!! :)

Please let me know if you have any quesitons

Answer:

Step-by-step explanation:

System of a equation has no solution when both the lines are parallel.

In other words, if the equations of a system have equal slopes there will be no solution.

1). x + 4y = 23

   4y = -x + 23

   [tex]y=-\frac{1}{4}x+23[/tex] ------(1)

   -3x = 12y + 1

   12y = 3x - 1

    [tex]y=\frac{1}{4}x-\frac{1}{12}[/tex] -------(2)

Since, both the equations have different slopes, system will have at least one solution.

2). 2x + 4y = 22 -----(1)

    -x = 2y - 11

    -x - 2y = -11

    x + 2y = 11

    2x + 4y = 22 ------(2)

   Since, both the equations are same, there will be infinite number of solutions.

3). 2x + y = 15 ------(1)

    x = 15 - 2y

    x + 2y = 15 -----(2)

   Both the equations are different, therefore system of equations will have at least one solution.

4). 2x + y = 17 ------(1)

    -4x = 2y - 34

    -4x - 2y = -34

    2x + y = 17 -----(2)

   Both the equations are different, therefore, system of equations will have infinite solutions.

5). 3y = 10 - x

    x + 3y = 10

    2x + 6y = 20 -------(1)

    2x + 6y = 7 ---------(2)

    Since, both the lines are parallel (Same slopes), system will have no solution.

6). y = 13 - 2x ------(1)

   4x - y = -1

   -y = -4x - 1

   y = 1 + 4x --------(2)

   Since, both the equations are different, system of equations will have at least one solution.

Answer:

[tex]{ \tt{ - {2b}^{2} - 18 {b}^{2} }} \\ = - {20 {b}^{2}} [/tex]

the answer would be 5 because 5*5 or 5 squared (5^2) is equal to 25, hope this helps!

Answer:

A

Step-by-step explanation:

plug it in

(-3)^2+(4)^2=9+16=25

Answer:

[tex]\text{A) }x^2+y^2=25[/tex]

Step-by-step explanation:

The equation of a circle with center [tex](h, k)[/tex] and radius [tex]r[/tex] is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex].

We're given:

Since we're given the circle's center, we just need to find the radius. Because the center of the circle is at (0, 0), the radius will be equal to the distance from (-3, 4) and (0, 0).

For points [tex](x_1, x_2)[/tex] and [tex](x_2, y_2)[/tex], the distance between them is given by the formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let:

[tex](x_1, y_1)\implies (0, 0)\\(x_2, y_2)\implies (-3, 4)[/tex]

The distance between these two points must be:

[tex]d=\sqrt{(-3-0)^2+(4-0)^2},\\d=\sqrt{9+16},\\d=\sqrt{25},\\d=5[/tex]

Therefore, the radius of the circle is 5 and the equation of the circle is:

[tex](x-0)^2+(y-0)^2=5^2,\\\boxed{x^2+y^2=25}[/tex]

Step-by-step explanation:

Step 1:  After adding 875 to both sides of the original equation, you get

[tex]x^2+10x+\text{ ----- }=875[/tex]

Step 2: b is the coefficient of the x term, so b = 10.  Divide in half (always half for completing the square!).

[tex]\frac{10}{2}=5[/tex]

Square that result to get 25.  That's c, the amount to add to both sides of the equation.

Step 3:  Adding c to both sides produces

[tex]x^2+10x+25=875+25[/tex]

Step 4: The result of Step 3 is [tex]x^2+10x+25=900[/tex], and the left side factors as a perfect square.

[tex](x+5)^2=900[/tex]

Step 5: After taking square roots of both sides, you get

[tex]x+5=\pm 30[/tex]  which represents "two equations in one."

Separate them.

[tex]x+5=30 \text{ or } x+5 =-30\\x=25 \text{ or } x=-35[/tex]

Answer:

56

Step-by-step explanation:

Euler theorem is a theorem used to show the relationship between the face, vertices and edge of a three dimensional shape (polyhedron)

Euler theorem is given as:

Face + vertex = Edge + 2

We can prove this theorem using the table attached.

For triangular prism: 5 + 6 = 9 + 2

For rectangular prism: 6 + 8 = 12 + 2

For pentagon prism: 7+ 10 = 15 + 2

For hexagonal prism: 8 + 12 = 18 + 2

The relationship between the vertex and face is:

vertex = face + (face - 4)

Therefore, for a prism with 30 sides, that is 30 faces, we have:

vertices = 30 + (30 - 4) = 30 + 26 = 56

1 meter = 100 cm

Convert the dimensions of the room to cm:

30m x 100 = 3000 cm

24 m x 100 = 2400 cm

Area of floor = 3000 x 2400 = 7,200,000 square cm

Find number of tiles by dividing area of room by area of a tile:

7,200,00 / 9000 = 800

They will need 800 tiles

800 tiles / 10 tiles per carton = 80

They will need 80 cartons

Answer:

Step-by-step explanation:

54 times 270 = 14580

Answer:

x = 1, x = 7

Step-by-step explanation:

The roots are the values of x where the graph crosses the x- axis

The graph crosses the x- axis at 1 and 7 , then

the roots are x = 1, x = 7

Answer:

(1,0) and (7,0)

Step-by-step explanation:

Roots are also known as the zeroes, or x-intercepts. This is where the line crosses the x axis, here it crosses where x is 1 and where x is 7.

Answer:

[tex]{ \boxed{ \bf{ \frac{dy}{dx} = v \frac{du}{dx} + u \frac{dv}{dx} }}}[/tex]

u = ( x + 1 )

v = ( 2x + 5 )²

[tex]{ \tt{ \frac{dy}{dx} = {(2x + 5) {}^{4} .(1) + (x + 1).(2)(2x + 5) {}^{3} } }} \\ = { \tt{ {(2x + 5)}^{3} ((2x + 5) +(2x + 2) }} \\ = { \tt{ \frac{dy}{dx} = {(2x + 5)}^{3}(4x + 7) }}[/tex]

Answer:

[tex]y=\sqrt[3]{-x}[/tex] and [tex]y=-\sqrt[3]{x}[/tex]

Step-by-step explanation:

The 4th and last one

Answer:

65 and 25

Step-by-step explanation:

90=(5x+10)+(6x-41)

121=11x

11=x

Going back to the angles:

5(11)+10

=55+10

=65 this is the first angle

6(11)-41

=66-41

25 this is the second angle

the list S describes all possible outcomes of the event.

the fourth option

two will get choosen, and the order matters.

Answer:

C

Step-by-step explanation:

Consider f(x) = x^3 and g(x) = (x+1).

Every point is then shifted to the left. Why?

We can plug in some points, let's say x=0.

For f(x), we get 0, for for g(x), we get 1.

Normally, f(x) = 1 when x = 1, but now g(x) = 1 at x = 0. Basically, every point is now shifted left. It's a general rule you have to remember. Sometimes, I used to mix up the plus and minus signs becuase + intuitively for me (at least after doing some physics) is right. But it actually shifts the graph to the left. Just plug in some points and see for yourself. It's honestly the best explanation I can give you at this point in time.

Answer:

Step-by-step explanation:

            Statements                               Reasons

1. m∠A = 6x - 10                              1. Given

2. m∠B = 2x                                    2. Given

3. m∠C = 8x - 2                               3. Given

4. m∠A + m∠B + m∠C = 180°         4. Triangle sum theorem

5. (6x - 10) + (2x) + (8x - 2) = 180°   5. Substitution

6. 16x - 12 = 180                              6. Algebra

7. 6x = 192                                       7. Addition property of equality

8. x = 12                                           8. Division property of equality