Choose and solve an equation for the following real-world context: Your friend charged your neighbors $72 for mowing their lawn 8 times. How much did your friend change for mowing the lawn once?

Answer:

10

Step-by-step explanation:

10+x+2=-8+3x

12+x =-8+3x

12+8=3x-x

20=2x

X=20/2

X=10

Step-by-step explanation:

sorry man i wish i could help

Answer:

h=39/4

Step-by-step explanation:

area of a triangle = 1/2(b*h)

base = 8 inches

area =39 square inches

input the values given:

39=1/2(8*h)

multiply the right side by 1/2

39=(1/2)8h

find half of 8

39=1/2*8 (h)

hence,

39=4h

divide both sides by 4

hence,

39/4=h

Answer:

Haha great question, Maybe because people will not understand the difference between the fruit and the color.

Answer:

[tex] \frac{1}{15} x[/tex]

Step-by-step explanation:

[tex] \frac{7x}{20} - \frac{5x}{12} [/tex]

[tex] \frac{3 \times 7x}{3 \times 20} - \frac{5 \times 5x}{5 \times 12} [/tex]

[tex] \frac{21x}{60} - \frac{25x}{60} [/tex]

[tex] \frac{21x - 25x}{60} = (21 - 25)x = - 4x[/tex]

[tex] \frac{ - 4x}{60} = - \frac{ x}{15} [/tex]

[tex]\boxed{\green{= \frac{1}{15} x}}[/tex]

In geometry, transformations are used to move points from one position to another.

The preimage is given as:

[tex]S =(-3,4)[/tex]

[tex]T = (3,4)[/tex]

[tex]U = (-1,0)[/tex]

The image is given as:

[tex]S' = (-2,2)[/tex]

[tex]T' =(4,2)[/tex]

[tex]U' = (0,-2)[/tex]

Using points S and S' as our reference point, we have:

[tex]S =(-3,4)[/tex] and [tex]S' = (-2,2)[/tex]

Calculate transformation

[tex](x,y) \to S -S'[/tex]

[tex](x,y) \to (-2,2)-(-3,4)[/tex]

Rewrite as:

[tex](x,y) \to (-2--3,2-4)[/tex]

[tex](x,y) \to (-2+3,2-4)[/tex]

[tex](x,y) \to (1,-2)[/tex]

So, the transformation from the preimage to image is:

[tex](x,y) \to (x + 1, y-2)[/tex]

Calculate the lengths of the sides of the preimage and the image

Using the following distance formula, we have:

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

So, we have:

[tex]ST = \sqrt{(-3 - 3)^2 + (4 - 4)^2} = 6[/tex]

[tex]SU = \sqrt{(-3 - -1)^2 + (4 - 0)^2} = \sqrt{20[/tex]

[tex]TU = \sqrt{(3 - -1)^2 + (4 - 0)^2} = \sqrt{32[/tex]

and

[tex]S'T' = \sqrt{(-2 - 4)^2 + (2 - 2)^2} = 6[/tex]

[tex]S'U' = \sqrt{(-2 - 0)^2 + (2 -- 2)^2} = \sqrt{20[/tex]

[tex]T'U' = \sqrt{(4 -0)^2 + (2 -- 2)^2} = \sqrt{32[/tex]

Since

[tex]ST = S'T'= 6[/tex]

[tex]SU = S'U'= \sqrt{20[/tex]

and

[tex]TU = T'U'= \sqrt{32[/tex]

Then, the transformation preserves length

From the graph of [tex]\triangle STU[/tex] and [tex]\triangle S'T'U'[/tex]

Since

[tex]\angle S = \angle S' = 76^o[/tex]

[tex]\angle T = \angle T' = 45^o[/tex]

[tex]\angle U = \angle U' = 59^o[/tex]

Then, the transformation preserves angle measure.

Read more about transformation at:

https://brainly.com/question/12865301

Answer:

h = 22  for Rachel

Step-by-step explanation:

20 + h = 42

h = 42 - 20

h = 22

Answer:

r^2 - s = 14 + 9i

Step-by-step explanation:

r^2 = 4^2 + 8i + i^2

r^2 = 16 + 8i - 1

r^2 = 15 + 8i

r^2 - s = 15 + 8i - (1 - i)

r^2 - s = 15 + 8i - 1 + i

r^2 - s = 14 + 9i

Answer:

x=8

Step-by-step explanation:

Angle bisector means it cute the big angle into two equal, smaller angles (like cutting a piece of cake in half)

therefore, you can set both smaller angles equal to each other, then solve for x

4x+1=33   Subtract 1 from both sides

4x=32      Divide both sides by 4

x=8

You'll get it, keep studying! :)

Answer:

5 is the answer

Please make the brainliest

Answer:

15. x = 112 degrees

18. x = 120 degrees

Step-by-step explanation:

15.

A triangle's angles always equal 180 degrees so we can find the two unknown angles by subtracting 44 from 180 and then dividing it by 2.

2a + 44 = 180

2a = 136

a = 68

Each unknown angle equals 68 degrees. The line from 44 degrees to x degrees segments a line that has a 180 degree angle so we can subtract 68 from 180 to get x.

x + 68 = 180

x = 112

18.

We can use the same concept here but now every angle equals each other so we can divide 180 by 3 to get the measure of those angles.

3a = 180

a = 60

Now we do the same thing as last time to find x.

x + 60 = 180

x = 120

Answer:

m∠8 = 49°

Step-by-step explanation:

∠7 and ∠8 are same-side interior angles.

Remember, same-side interior angles are supplementary. This means that the sum of the angles is 180°.

Let's use the variable 'x' to represent the unknown measure of angle ∠8.

[tex]131 +x=180[/tex]

[tex]131-131=0[/tex] (cancels itself out)

[tex]180-131=49[/tex]

[tex]x=49[/tex]

Therefore, the measure of ∠8 is 49°.

Answer:

$270

Step-by-step explanation:

The opening deposit is $150.

Every month receives $10.

In 12 months it gets 12 x $10 = $120 additional money.

So together with the opening deposit at the end of 1 year the account has

$150 + $120 = $270

Answer:

It would look like the picture I attached at the bottom.

Step-by-step explanation:

We know that the slope is -3 and the y intercept is (0,4) (plugging in 0 for x will get you that point), and then you can just graph an equation like you normally would, using rise/run to go down 3 units for every one unit you go right, and plugging in easy x values to check your work.

It gets a little tricky because the question then adds the inequality, and we see that y is now less than or equal to the original equation.

Since it is less than, we can shade all the values below the graph.

(Also, you should probably note for future reference that if it was just less than, the shading would look the same while the graph itself would be dotted because the values on the line are nor included in the solution set).

Desmos is a great website to use if you're having trouble graphing in the future :)

Answer:

To find area of the quadrilateral ABCD, now we have take the vertices A(x1, y1), B(x2, y2), C(x3, y3) and D(x4, y4) of the quadrilateral ABCD in order (counter clockwise direction) and write them column-wise as shown below. Add the diagonal products x1y2, x2y3, x3y4 and x4y1 are shown in the dark arrows.

Step-by-step explanation:

Answer:51.33ft/s

Step-by-step explanation:Just look at how many seconds are in a hour and divide by that

Answer:

Step-by-step explanation:

im on the same question as you, please put a picture next time so people can tell what the area is, as this is not helpful if you can not see the polygon. thanks

Answer:

no solution

Step-by-step explanation:

x + 6 cannot be x so there is no solution. hope this helps

Answer:

No solution

Step-by-step explanation:

[tex]x + 6 = x \\ x - x = 6 \\ 0 = 6[/tex]

Answer:

The choose D. Used the addition property of equality

4x-36=216

4x=216+36

4x=252

I hope I helped you^_^

Answer:

x = 10/3 or x = -16/3

Step-by-step explanation:

3x+3 = 13

3x =10

x = 10/3

3x+3 = -13

3x = -16

x = -16/3

Answer:

welcome!

Step-by-step explanation:

Answer:

450+120w

will be the expression

Equation: 450+120w = x

Answer:

10,010,011,001

Step-by-step explanation:

Converting the number 10010011001 into a number with commas gives us 10,010,011,001.

Given that,

The number is 10010011001.

Used the concpet of number system which states that,

A writing system used to express numbers is known as a number system. It is the mathematical notation used to consistently express the numbers in a particular set using digits or other symbols.

Here, the number is 10010011001.

So, it can be written as,

10010011001 = 10,010,011,001

Therefore, the number 10010011001 with commas would be 10,010,011,001.

To learn more about the Number system visit:

https://brainly.com/question/17200227

#SPJ6

Answer:

19

Step-by-step explanation:

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[tex]\frac{2x-5}{3}=11 \ \ /\cdot3\\\\2x-5=33 \ \ /+5\\\\2x=38 \ \ /:2\\\\\huge\boxed{x=19}[/tex]

Answer:

2x+7

Step-by-step explanation:

3x +(-x) = 3x - x, so it's 2x

12 + (-5) is the same situation, just being 12 - 5, so it's 7.

putting them together leaves you with 2x+7

Hi there!  

»»————-　★　————-««

I believe your answer is:  

x = 256

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'x'...}}\\\\\frac{x}{32} = 8 \\----------\\\rightarrow (\frac{x}{32})32 = 8 * 32\\\\\rightarrow \boxed{x = 256}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Interpreting the inequality, it is found that the correct option is given by F.

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In standard form, the equation of the line is:

[tex]x + 2y = 6[/tex]

[tex]2y = 6 - x[/tex]

[tex]y = -0.5x + 2[/tex]

Thus it is a decreasing line, which removes options J.

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[tex]3x^2 + 3y^2 = 12[/tex]

[tex]3(x^2 + y^2) = 12[/tex]

[tex]x^2 + y^2 = 4[/tex]

[tex]d = \sqrt{\frac{|ax + by + c|}{a^2 + b^2}}[/tex]

[tex]d = \sqrt{\frac{|1(0) + 2(0) - 6|}{1^2 + 2^2}} = \sqrt{\frac{6}{5}} = 1.1[/tex]

A similar problem is given at https://brainly.com/question/16505684