10x + 12 = [2+3(2x-4)+1]
Solve for x

Given :

The Learning Center charges a one-time fee of $26 plus $10 per piano lesson.

Guitar lessons have a one-time fee of $36 plus $8 for each lesson.

To Find :

After how many lessons will the cost of learning to play piano be the same or more than learning to play guitar.

Solution :

Mathematical expression of piano lesson :

[tex]P_1=26+10x[/tex]

Mathematical expression of guitar lesson :

[tex]P_2=36+8y[/tex]

( Here, x and y are number of lessons )

Let, after t hours cost of learning to play piano be the same or more than learning to play guitar.

Now, given constraint :

[tex]P_1 \geq P_2\\\\26+10t \geq 36+8t\\\\2t \geq 10\\\\t\geq 5[/tex]

Hence, this is the required solution.

Answer:

Positive 3

Step-by-step explanation:

you have to add 4 and -9 first and you get -5 then you add that to positive 8 and get 3

the answer is  

In AKLM, the measure of ZM=90°

Answer:

What’s the question?

Step-by-step explanation:

Answer:

The phenomenon by which the colloidal particles scatter light is called Tyndall effect. If light is passed through a colloid the light is scattered by the larger colloidal particles and the, beam becomes visible. This effect is called Tyndall effect.

Answer:

11/12

Step-by-step explanation:

hopefully ":" means add cause i have neve learned what that ment btw happy halloween❤

Answer:

9

Step-by-step explanation:

hi! if the leading term is 8x^9, this means that this is the term with the highest power. therefore, its degree is 9.

The degree of the given polynomial is 9

Polynomial is made up of two terms, namely Poly (meaning “many”) and Nominal (meaning “terms.”). A polynomial is an expression composed of variables, constants, and exponents, combined using mathematical operations such as addition, subtraction, multiplication, and division (No division operation by a variable). Based on the number of terms present in the expression, it is classified as monomial, binomial, and trinomial. For example P(x) = x2-5x+11

Given here; a polynomial function with leading term 8x⁹

Now The Degree of a Polynomial is the largest of the degrees of the individual terms. The degree of an individual term of a polynomial is the exponent of its variable and the highest degree of the terms given in the expression is the degree. And thus the expression with leading  term 8x⁹ is 9

Hence, The degree of the given polynomial is 9

Learn more about polynomial expressions here:

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Answer:

y=x-5

Step-by-step explanation:

For this, use point-slope formula, which is (y-y1)=k(x-x1), in which k is slope.

Now, substitute in your values. (y-2)=1(x-7)

Then, since you got y-2=x-7, add 2 to both sides.

You get y=x-5

y = x +5  is the equation of the line that passes through the point (7,2) and has a slope of 1.

The equation of a straight line is y=mx+c where m is the gradient and c is the height at which the line crosses the y -axis, also known as the y-intercept. There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form.

given, a line that passes through the point (7,2) and has a slope of 1

Since the Slope of the line = 1

From the slope-intercept form of the line

y = mx + c

thus, the Equation of the line

y = 1 * x + c

y = x + c

Since this line passes through coordinates (7, 2 ) this point will satisfy the equation

7 = 2 + c

c = 5

hence, the equation of a line

y = x +5

therefore, the equation of the line that passes through the point (7,2) and has a slope of 1 is y = x +5.

Learn more about the equation of line here:

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Answer:

83

Step-by-step explanation: you divide 30 and  36% and you will get 83 hope this helped

Answer:20

Step-by-step explanation:

Answer:

d. grams per cubic centimeter

Step-by-step explanation:

The unit for density is g/cm^3 because the formula for density is mass divided by volume. The standard unit for mass is grams, and volume is cm^3. So by dividing the two numbers, the unit becomes both units divided.

Answer:

x = 4

a = 79

b = 101

Step-by-step explanation:

Supplementary means equal to 180° after all angles are added together.

a=19x+3

b= 21x +17

(19x+3) + (21x +17) = 180

19x + 3 + 21x + 17 = 180

             40x + 20 = 180

                      40x = 160

                          x = 4

a = 19(4)+3 = 79

b = 21(4) +17 = 101

Answer:

3x³ + 3x² - 3

Step-by-step explanation:

Step 1: Write expression

(2x³ + 4x² + 1) + (x³ - x² - 4)

Step 2: Combine like terms

3x³ + 3x² - 3

Answer:

22.9

Explanation:

Answer: y= 2x+9

have a good day!

Answer: y=2.5x+90

Step-by-step explanation:

idk

Answer: y =2.5x+90

Step-by-step explanation:

Answer:

Step-by-step explanation:

We know that the  expression for the perimeter is given as

P=2l+2B

now given that the value of the width is =2x

length= 4x

and the breadth=y

P=4x+2y

let us multiply both the length and the width with 2x we have

P=2x(4x+2y)

P=8x^2+4xy

the answer is

D. 8x^2+4xy

Answer: 4

Step-by-step explanation: you add 5 and 3, then you divide by the number of numbers which is 2.

Answer:

Average =  

Sum

Count

=  

8

2

=  

4

Step-by-step explanation:

Sum 8

Count 2

Median 4

Geometric Mean 3.8729833462074

Largest 5

Smallest 3

Range 2

Answer:

I believe it C

Step-by-step explanation:

Brainliest ??

Answer:

C

Step-by-step explanation:

I'd say C because:

It's all about patterns.

Answer:

(4 x + 9) (16 x^2 - 36 x + 81)

Step-by-step explanation:

Factor the following:

64 x^3 + 729

64 x^3 + 729 = (4 x)^3 + 9^3:

(4 x)^3 + 9^3

Factor the sum of two cubes. (4 x)^3 + 9^3 = (4 x + 9) ((4 x)^2 - (4 x) 9 + 9^2):

(4 x + 9) ((4 x)^2 - 4 9 x + 9^2)

4×9 = 36:

(4 x + 9) ((4 x)^2 - 36 x + 9^2)

Multiply each exponent in 4 x by 2:

(4 x + 9) (4^2 x^2 - 36 x + 9^2)

4^2 = 16:

(4 x + 9) (16 x^2 - 36 x + 9^2)

9^2 = 81:

Answer: (4 x + 9) (16 x^2 - 36 x + 81)

Answer:

(4x+9)(16x2−36x+81)

Step-by-step explanation:

Factor 64x3+729

64x3+729

=(4x+9)(16x2−36x+81)

Answer:

Option (4)

Step-by-step explanation:

Table for the points from the graph attached,

      x           y        [tex]x^{2}[/tex]            [tex]y^{2}[/tex]            xy

    2.2       1.8       4.84        3.24       3.96

    3.2       1.8       10.24       3.24       5.76

    3.6        3        12.96         9           10.8

    4.8       3.5      23.04      12.25      16.8

    5.2       6.2      27.04      38.44      32.24

    6.4       4.5      40.96      20.25     28.8

    7.5       7.8       56.25     60.84      58.5

    8.5       6.2      72.25      38.44      52.7

[tex]\sum x=41.4[/tex]

[tex]\sum y=34.8[/tex]

[tex]\sum x^2=247.58[/tex]

[tex]\sum y^2=185.7[/tex]

[tex]\sum xy=209.56[/tex]

n = 8

Formula for the correlation coefficient  [tex]r=\frac{n\sum xy-(\sum x)(\sum y)}{\sqrt{[{n\sum x^2-(\sum x)^2][n\sum y^2-(\sum y)^2]}}}[/tex]

[tex]r=\frac{8(209.56)-(41.4)(34.8)}{\sqrt{[{8(247.58)-(41.4)^2][8(185.7)-(34.8)^2]}}}[/tex]

r = [tex]\frac{1676.48-1440.72}{\sqrt{266.52\times 274.56} }[/tex]

r = [tex]\frac{235.76}{\sqrt{73175.73}}[/tex]

r = [tex]\frac{235.76}{270.51}[/tex]

r = 0.87

r ≈ 0.9

Therefore, Option (4) is the answer.

Answer:

Ix - 950°C I ≤ 250°C

Step-by-step explanation:

We are told that the temperature may vary from 700 degrees Celsius to 1200 degrees Celsius.

And that this temperature is x.

This means that the minimum value of x is 700°C while maximum of x is 1200 °C

Let's find the average of the two temperature limits given:

x_avg = (700 + 1200)/2 =

x_avg = 1900/2

x_avg = 950 °C

Now let's find the distance between the average and either maximum or minimum.

d_avg = (1200 - 700)/2

d_avg = 500/2

d_avg = 250°C.

Now absolute value equation will be in the form of;

Ix - x_avgI ≤ d_avg

Thus;

Ix - 950°C I ≤ 250°C

Answer:

The angle across the given measurements are the same. So there will be a 27 degrees across from the other 27 degrees. The straight line is 180 degrees, so do 180-27=153. The means the other 2 angles are 153 degrees. The other one is the same, but with different measurements. 180-35=145

Step-by-step explanation:

Let the angle adjacent to ∠27° be x .

[tex]∠x + 27 = 180° \: ( \: linear \: pair \: )[/tex]

[tex]x = 180 - 27 \\ ∠x = 153°[/tex]

Let the angle opposite to ∠27° be y .

[tex]∠y = ∠27° \: ( \: vertically \: opposite \: angles \: )[/tex]

Let the angle adjacent to ∠y ( 27°) be w .

[tex]w + ∠27° = 180° \: ( \: linear \: pair \: ) \\ w = 180 - 27 \\ ∠w = 153°[/tex]

Let the angle opposite to ∠35° be p .

[tex]∠p = ∠35° \: ( \: vertically \: opposite \: angles \: )[/tex]

Let the angle adjacent to ∠35° be a .

[tex]∠a + 35° =180 ° \: ( linear \: pair ) \\ a = 180 - 35 \\ ∠a = 145°[/tex]

Let the angle opposite to ∠35° be t .

[tex]∠t = 35° \: ( \: vertically \: opposite \: angles \: )[/tex]

Let the angle opposite to ∠145° be o .

[tex]∠o \: = 145° \: ( \: vertically \: opposite \: angles \: )[/tex]

Answer:

275 * 0.03 = accrued interest

accrued interest + initial deposit = total after one year

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

im pretty sure (i did it in my head) if its wrong im sorry :/

70 because you cut down the number by half to 14 and multiply by 5 to get 70.

Answer:

Not Sure how to solve this...

Step-by-step explanation:

BUT

5 minutes is equal to [tex]\frac{1}{12}[/tex]

10 minutes is equal to [tex]\frac{1}{6}[/tex]

15 minutes is equal to [tex]\frac{1}{4}[/tex]

30 minutes is equal to [tex]\frac{1}{2}[/tex]