What is a new expression equivalent to 8x - 9 - 12x + 5

Question:

Jordan is cutting a 2 meter by [tex]1\frac{1}{4}[/tex] meter piece of rectangular paper into two pieces along its diagonal. what is the area of each of the pieces?

Answer:

Area of each piece of paper is [tex]1 \frac{1}{4} \ m^2[/tex].

Solution:

Length of the paper = 2 m

Width of the paper =  [tex]1\frac{1}{4}[/tex] m =  [tex]\frac{5}{4}[/tex] m

Area of the rectangle = length × width

                                    [tex]$=2\times \frac{5}{4}[/tex]

                                    [tex]$= \frac{5}{2} \ m^2[/tex]

Diagonal of a rectangle divides it into two equal parts.

Area of each piece = Area of the rectangle ÷ 2

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

                                [tex]$=\frac{5}{4} \ m^2[/tex]

                                [tex]$=1 \frac{1}{4} \ m^2[/tex]

Area of each piece of paper is [tex]1 \frac{1}{4} \ m^2[/tex].

Answer:

median : 73

mean : 71.5

mode : 68 and 85 (?)

range: 35

Step-by-step explanation:

50, 50, 68, 68, 68, 78, 78, 85, 85, 85

median:  order numbers least to greatest. add the two middle numbers, 68 and 78. divide by 2. 68 + 78 = 142 ,, 142 ÷ 2 = 73

mean: add all the numbers, then divide by the amount of numbers. 50 + 50 + 68 + 68 + 68 + 78 + 78 + 85 + 85 + 85 = 715. 715 ÷ 10 = 71.5

mode: the number that occurs the most,,theres two whoops 68 and 85

range: subtract the smallest number from the largest. 85 - 50 = 35

Answer:

10 5/12

Fraction part: 5/12

Step-by-step explanation:

6¾ + 3⅔

6 + 3 + ¾ + ⅔

9 + [3(3) + 4(2)]/12 12 is the LCM

9 + (9+8)/12

9 + 17/12

9 + (12+5)/12

9 + 1 + 5/12

10 5/12

Check the picture below.

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

well, by the definition of a derivative, the slope at the point is f'(a), and any tangent line going through it will also have the same exact slope, keeping in mind that a straight line has a constant slope.

The statement is true. When x has a value of zero, the y value is 2. So option (a) is correct.

To determine whether the statement is true or false, let's first analyze the given equation:

2x + 3y = 6

We're given that when x = 0, y = 2. We can use this information to solve for y:

2(0) + 3y = 6

0 + 3y = 6

3y = 6

y = 6/3

y = 2

This confirms that when x = 0, y does indeed equal 2. So, the given information is consistent with the equation. Therefore, the statement "When x has a value of zero, the y value is 2" is true.

To summarize:

Given the equation 2x + 3y = 6, when x = 0, y = 2.

Proof:

2(0) + 3(2) = 6

0 + 6 = 6

6 = 6

Thus, when x is 0, y is indeed 2, verifying the statement as true.

Complete Question:

Given: 2x+3y=6. When x has a value of zero, the y value is 2.

(a) True

(b) False

Final answer:

To find the number of hamburgers sold, we set x as the number of hamburgers and x + 68 as the number of cheeseburgers, given that the total sold was 518. The equation x + (x + 68) = 518 is solved to find that 225 hamburgers were sold.

Explanation:

To solve this problem, let's use algebra. Let x be the number of hamburgers, then the number of cheeseburgers would be x + 68 since there were 68 more cheeseburgers sold than hamburgers. Given that the total number of hamburgers and cheeseburgers sold is 518, we can set up the following equation:

x + (x + 68) = 518

Solving for x we get:

2x + 68 = 518

2x = 518 - 68

2x = 450

x = 225

So, the hamburger shop sold 225 hamburgers on Tuesday.

Check the picture below.

Make sure your calculator is in Degree mode.

The horizontal distance from the wall to the base of the ladder is 6.3-foot and it can be determined by using trigonometric ratios.

Given that,

A 15-foot ladder leans against a wall and makes an angle of 65° with the ground.

We have to determine,

What is the horizontal distance from the wall to the base of the ladder?

According to the question,

Let, the horizontal length be x,

The length of the hypotenuse is 15-foot.

And the angle is 65 degrees.

Then,

The horizontal distance from the wall to the base of the ladder is,

[tex]\rm Cos\theta = \dfrac{Horizontal \ distance}{Perpendicular}\\\\Cos65 = \dfrac{x}{15}\\\\x = Cos65 \times 15\\\\x = 0.42 \times15\\\\x = 6.3 \ foot[/tex]

Hence, The horizontal distance from the wall to the base of the ladder is 6.3-foot.

To know more about Trigonometry click the link given below.

https://brainly.com/question/13710437

Answer:

78.6 degrees.

Step-by-step explanation:

Complementary angles add up to 90 degrees. So just take 11.4 from 90.

90 - 11.4 = 78.6

Answer:

f(2/3)=-6

Step-by-step explanation:

f(x) =-3x-4

x=2/3 then

f(2/3)=-3*(2/3)-4=-6/3-4=-2-4=-6

Step-by-step explanation:

Answer:

I had this on my quiz hold on.. is is 48.

Step-by-step explanation:

Answer:

I think E hope it can help

Answer:   126

Step-by-step explanation:  42 times 6 equals 252, 252 divided by 2 equals 126

Final answer:

The volume of a right rectangular prism made from 8 small cubes with an edge length of 1/5 inch each is 8/125 cubic inches.

Explanation:

The question asks for the volume of a right rectangular prism made up of 8 small cubes, with each cube having an edge length of 1/5 inch. To find the volume of the right rectangular prism, we must first understand the volume of a single cube, which is found by multiplying the length, width, and height of the cube. Since each side of a cube is equal, the volume of one cube is (1/5 inch) × (1/5 inch) × (1/5 inch), which equals 1/125 cubic inches.

Next, the volume of the entire prism, which consists of 8 such cubes, is calculated by multiplying the volume of one cube by 8. Therefore, the total volume of the prism is (1/125 cubic inches) × 8, which equals 8/125 cubic inches.

Answer:

1/3

Step-by-step explanation:

so we are picking 40 blues from total number of buttons 120.

40 divided by 120 is 1 over 3.

The formula to the volume of cone is πr²h. Pi x 13² x 10 = 5309.29158457.

Answer:

no solution

Step-by-step explanation:

no solution

Answer:

W = 4.646 ft

L = 9.292 ft

H = 3.097 ft

Step-by-step explanation:

Let's say the L is the length, W is the width, and H is the height.

The volume of the pool is:

V = LWH

The area of the pool is:

A = LW + 2LH + 2WH

L = 2W, so substituting:

V = (2W)WH

V = 2W²H

A = (2W)W + 2(2W)H + 2WH

A = 2W² + 4WH + 2WH

A = 2W² + 6WH

Solving for H in the first equation and substituting into the second:

H = V/(2W²)

A = 2W² + 3V/W

Find dA/dW and set to 0.

dA/dW = 4W − 3V/W²

0 = 4W − 3V/W²

4W = 3V/W²

4W³ = 3V

W = ∛(¾V)

V = 1000 gallons or 133.7 ft³.

W = ∛(¾(133.7 ft³))

W = 4.646 ft

So L = 9.292 ft and H = 3.097 ft.

The total surface area is given by:

The base of the cylinder is a circle with radius 5cm, so its area is

[tex]A=\pi r^2=25\pi[/tex]

The lateral surface of the cylinder is a rectangle whose base is the circumference of the base circle, and whose height is the height of the cylinder. So, its area is

[tex]A=b\cdot h=2\pi r\cdot h = 10\pi\cdot 8=80\pi[/tex]

Finally, the surface of a sphere is given by

[tex]A=4\pi r^2[/tex]

so, half that surface will be

[tex]A=2\pi r^2=50\pi[/tex]

And the total surface area will be the sum of the three areas:

[tex]A=25\pi+80\pi+50\pi = 155\pi[/tex]

Answer:

Total surface area of the figure[tex]=486.7cm^2[/tex]

Step-by-step explanation:

Total surface area of the figure= Surface area of cylinder + Area of the top hemisphere

[tex]r= 5cm\\\\h= 8cm[/tex]

Area of the cylinder with the side walls and the the bottom:

          [tex]A=(2*\pi* r*h)+(\pi *r^2)[/tex]

             [tex]=(2*3.14*5*8)+(3.14*5*5)\\\\ =251.2+78.5\\\\ = 329.7 cm^2[/tex]

Area of the top hemisphere:

                                               [tex]2*\pi *r^2[/tex]

                               [tex]=2*3.14*5*5[/tex]

  Area of the top hemisphere= [tex]157 cm^2[/tex]

Total surface area of the figure [tex]= 329.7+157\\\\[/tex]

                                      [tex]=486.7cm^2[/tex]

Answer:

419,108 is divisible by 4

Step-by-step explanation:

419,108 is divisible by 4, if there is an integer 'n' such that 419,108 = 'n' × 4.

Answer:

yes

Step-by-step explanation:

At the end of the number 419108 the last 2 digits 08 which is 8 can be divided by 4.

This is a rule the last 2 digits e.g 1,248 the 48 can be divided by 4.

Answer:

4y

Step-by-step explanation:

Find the prime factors of each term in order to find the greatest common factor (GCF).

Hope this helps!!! Brainliest is appreciated.

Answer:

In mathematics, the greatest common factor (GCF), also known as the greatest common divisor, of two (or more) non-zero integers a and b, is the largest positive integer by which both integers can be divided. It is commonly denoted as GCF(a,

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

54 divided by 12= 4.5

12 becuase there are 12 months in a year.

Answer:

4.5 i did the test on got it right

Step-by-step explanation:

Answer:

x= -0.4385 or -4.5615

Step-by-step explanation:

x²+5x+2=0

Using almighty formula;

a=1, b=5, c=2

x = [ -b± √( b^2 - 4ac)]/2a

x= -5±√(25-8)/2

x=(-5±4.123)/2

Therefore x=(-5+4.123)/2 or (-5-4.123)/2

x= -0.4385 or -4.5615

The solutions are [tex]\(x = \frac{{-5 + \sqrt{17}}}{2}\) and \(x = \frac{{-5 - \sqrt{17}}}{2}\).[/tex]

To find the solution of the equation [tex]\(x^2 + 5x = -2\), we need to solve for \(x\).[/tex]

Let's rearrange the equation to bring all terms to one side:

[tex]\[x^2 + 5x + 2 = 0\][/tex]

Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. Let's use the quadratic formula:

[tex]\[x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}\][/tex]

In our equation, [tex]\(a = 1\), \(b = 5\), and \(c = 2\).[/tex]

[tex]\[x = \frac{{-5 \pm \sqrt{{5^2 - 4(1)(2)}}}}{{2(1)}}\]\[x = \frac{{-5 \pm \sqrt{{25 - 8}}}}{2}\]\[x = \frac{{-5 \pm \sqrt{{17}}}}{2}\][/tex]

So, the solutions are:

[tex]\[x_1 = \frac{{-5 + \sqrt{{17}}}}{2}\]\[x_2 = \frac{{-5 - \sqrt{{17}}}}{2}\][/tex]

Thus,  [tex]\(x = \frac{{-5 + \sqrt{{17}}}}{2}\) or \(x = \frac{{-5 - \sqrt{{17}}}}{2}\). These are the solutions to the equation \(x^2 + 5x = -2\).[/tex]

Answer:

The radius is 75m

Answer:

[tex]2\pi \times r = 150 \\ 6.2831r = 150 \\ \frac{6. 2831r}{6.2831} = \frac{150}{6.831} \\ r = 23.87cm[/tex]

Answer:

C

Step-by-step explanation:

Here it is: 5.8*2.4=13.92

Answer:

6.96

Step-by-step explanation:

2.4 x 5.8 is 13.92, but since it is a triangle you must divide it by 2. Which makes the answer, 6.96.

Answer:

  -10, -8, -6, -4

Step-by-step explanation:

Perhaps you want to know what they are.

__

The odd number between the middle two is their average value: -28/4 = -7.

The integers are -10, -8, -6, -4.

Answer: The even integers are -10, -8, -6 and -4

Step-by-step explanation:

Let the smallest of the even integers be represented by x, the other three will therefore be x +2, x +4 and x+6

Thus, x + (x+2) + (x+4) + (x+6) = -28

4x + 12= -28

Make x the subject of the equation

4x= -28 - 12

4x= -40

x = -10,

since the x = -10,

x + 2= -10 + 2= -8

x + 4= -10 +4 = -6

x + 6= -10 + 6= -4

I hope this helps.

Answer: (-1,-2) Sowwy if im wrong

Step-by-step explanation:

Answer:

1 and 1

Step-by-step explanation:

Answer:

5 + 2 x 7 + 6

Step-by-step explanation:

Answer:

A: 7*(5-2)+6

explanation: it's really easy

Option  A and D will not get to the required point

Step-by-step explanation:

Step 1 :

a)

Start at origin, go 112 units up and then go 4 unit to the right.

Starting at the origin, 112 units up gives y = 112

then 4 spaces to the right gives x = 4

So the point obtained is (4,112)

Hence option A will not get to the required point

Step 2 :

b)

Starting at the origin, go 4 spaces up and then 112 spaces to the right.

Starting at the origin , 4 spaces up gives y = 4

112 spaces to the right gives x = 112

So we get the point as (112,4)

Option B goes to the required point

Step 3:

c)

Starting at the origin, go 112 spaces to the right and then 4 spaces up.

Starting at the origin, 112 spaces to the right gives x = 112

4 spaces up gives y = 4

We get to the point (112,4)

Hence option C gets to the required point

Step 4:

d)

Doing the procedure in option D gives y = 4, and x as between 1 and 2

Hence this will not get to the required point

Step 5 :

Option  A and D will not get to the required point

Answer:

a)Starting at the origin, go 1 1/2 up units up and then 4 spaces to the right

Step-by-step explanation:

no