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The linear equation that describes the problem 72x + 150y = 5400.

A linear equation seems to be an algebraic equation of the form y=mx+b, including only a constant and an initial (linear) component, where m is the slope, as well as b,as well as b is the y-intercept. The preceding is sometimes referred to as a "linear equation with two variables," where both x and y are the variables.

The graph of a linear equation is  a straight line. Linear Equation Definition: A linear equation seems to be an algebraic equation in which each term has an exponent of one and when graphed, it always results in some kind of a straight line.  it is called a 'linear equation.'

Tennis Club sells monthly memberships for  $72.

Tennis rackets for $150.

The tennis club  sales goal of $5400 per month.

The linear equation.

72x + 150y = 5400.

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After Multiplying 3 with the eq. (i) we will add this to eq. (ii)

[tex] \sf 18x - 6y + 3z = - 2[/tex]

[tex] \sf2x + 3y - 3z = 11[/tex]

[tex]⇒ \sf20x - 3y = 9 \: \: .........(iv)[/tex]

After Multiplying 2 with the eq. (iv) we will add this to eq. (iii)

[tex] \sf \: x + 6y = 31[/tex]

[tex] \sf40x - 6y = 18[/tex]

[tex] \sf \: 41x = 49[/tex]

[tex]⇒ \sf \: x = \frac{49}{41} [/tex]

After putting the value of x in the eq. (iii)

[tex] \sf \frac{49}{41} + 6y = 31[/tex]

[tex]⇒ \sf6y = 31 - \frac{49}{41} [/tex]

[tex] \sf \: ⇒ 6y = \frac{1271 - 49 }{41} [/tex]

[tex]⇒ \sf6y = \frac{1222}{41} [/tex]

[tex]⇒ \sf \: y = \frac{1222}{41 \times 6} [/tex]

[tex]⇒ \sf \: y = \frac{611}{123} [/tex]

After putting the value of x and y into eq. (i)

[tex] \sf6 \times \frac{49}{41} - 2 \times \frac{611}{123} + z = -2 [/tex]

[tex]⇒ \sf\frac{294}{41} - \frac{1222}{123} + 2 = - z[/tex]

[tex]⇒ \sf \frac{882 - 1222 + 246}{123} = - z[/tex]

[tex]⇒ \sf - \frac{94}{123} = - z[/tex]

[tex]⇒ \sf \: z = \frac{94}{123} [/tex]

Hence,

[tex] \bf • \: The \: value \: of \: x = \frac{49}{41}

[tex] \bf • \: The \: value \: of \: x = \frac{49}{41} [/tex]

[tex] \bf • \: The \: value \: of \: y = \frac{611}{123}

[tex] \bf • \: The \: value \: of \: y = \frac{611}{123}[/tex]

[tex] \bf• \: The \: value \: of \: z \: = \frac{94}{123}[/tex]

Answer:

162

Step-by-step explanation:

I started with the left I did it like a rectangle 4×12=48

because both sides are like that 48×2=96 for the middle 12-9=3 I did that because I needed to know the sides of this new rectangle so now 3×6=18 now we need to add them together to get the area 48+96+18=162

It's been a while, since I've done this, I'm not completely sure

Answer:

i would like to help you but Im not really understand the question

Answer:

33

Step-by-step explanation:

Landon is building new book shelves for his bookstore's new mystery section

Each of the shelf can hold 37 books

There are 1221 mystery books

Therefore the number of shelves that Landon will need to build can be calculated as follows

= 1221/37

= 33

Hence Landon needs to build 33 shelves

Answer:

a₇ = [tex]\frac{4096}{3125}[/tex]

Step-by-step explanation:

There is a common ratio r between consecutive terms, that is

r = 4 ÷ 5 = [tex]\frac{4}{5}[/tex]

r = [tex]\frac{16}{5}[/tex] ÷ 4 = [tex]\frac{4}{5}[/tex]

This indicates the sequence is geometric with n th term

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 5 and r = [tex]\frac{4}{5}[/tex] , thus

a₇ = 5 × [tex](\frac{4}{5}) ^{6}[/tex] = 5 × [tex]\frac{4096}{15625}[/tex] = [tex]\frac{4096}{3125}[/tex]

Answer:

1.83 x 108 is about 3 times smaller

Step-by-step explanation:

1.83 x 108 = 197.64

6.1 x 105 = 640.5

640.5/197.64 = 3.24

Answer: Checkings, Retirement, Savings

9514 1404 393

Answer:

  4

Step-by-step explanation:

The greatest common factor of 28 and 68 is 4.

  28 = 4×7

  68 = 4×17

Each person could have received 4 baseball cards.

Answer:

Step-by-step explanation:

it no solution

No solution is parallel to each other.

solution crosses each other.

infinite is only one line.

Answer:

1.83 x 10^8 is how many times greater than 6.1 x 10^5?1.83 x 10^8 is how many times greater than 6.1 x 10^5?

Step-by-step explanation:

Answer: 9(9)+ 5 = 86

Step-by-step explanation: the x equals 9 so means 9(9) + 5 = 86

Answer:

x = 9

Step-by-step explanation:

9x + 5 = 86, minus 5 of both sides

9x = 81, divide 9 on both sides

x = 9

Answer:

A polynomial p(x) in one variable x is a mathematical articulation in x of the structure p(x) = anx n + an−1x n−1 + ....... + a2x 2 + a1 x + a0, where a0, a1, a2, .... an are individually the coefficients of x 0 , x 1 , x 2 , .... x n and n is known as the level of the polynomial if a ≠ 0. Each anx n ; an−1x n−1 ; .... a0, is known as a term of the polynomial p(x)

Answer:

3750

Step-by-step explanation:

Answer:

25,000 x 0.15 =3750

Step-by-step explanation:

Answer:

m<A + m<B + m<C = 180

53+90+m<C=180

m<C=180-143

m<C=37

Answer:

Y=120°

Step-by-step explanation:

as you would add 33° and 87° together which gives you 120

Answer:

2

Step-by-step explanation:

13 × 4 = 52

52 ÷ 26 = 2

13 × 4 = 2 × 26

n = 2

Answer:

f-1(x)=2x over x-1

Step-by-step explanation:

check it out . it seems to be the right answer. .

Answer:

9 4/5

Step-by-step explanation:

Answer: 9.8

Step-by-step explanation:

Answer:

The answer is 3 Hope this help :)

Step-by-step explanation:(6,7) (4,1)

[tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{1-7}{4-6}[/tex]

[tex]\frac{-6}{-2}[/tex]

x=3

Answer:

132

Step-by-step explanation:

Answer: Left-brace 14, negative 7, 0, 243, negative 3 Right-brace

Step-by-step explanation:

To obtain our answer, we need to know what an integer means and hence, it's properties or characteristics ;

An integer must be an whole number including Zero, which means no fractions

Similarly, integer numbers could be either positive or negative in value.

Hence, from the set represented above ;

(14, - 7, 0, 243, - 3) ; all the numbers in the set conform to the characteristics expected of an integer.

Answer:B

Step-by-step explanation:

Answer:

3 : 8

Step-by-step explanation:

→ Find the sum of the shapes

10 + 6 = 16

→ Relate the triangles : total shapes

6 : 16

→ Divide by 2 on both sides

3 : 8

Answer:

h'(t)=88

Step-by-step explanation:

h'(t)=d/dt (-16t x 2 + 120t + 10)

h'(t)=d/dt (-32t + 120t + 10)

h'(t)=d/dt (88t + 10)

h'(t)=d/dt (88t) + d/dt (10)

h'(t)=88 + 0

The solution to the system of inequalities y < 2x - 8 and y > -1/2x - 3 is (2, -4)

The system of inequalities is given as

y < 2x - 8

y > -1/2x - 3

Next, we plot the system of inequalities on a graph (see attachment)

From the attached graph, we have both lines of the graph intersect at (2, -4)

Hence, the solution to the system of inequalities y < 2x - 8 and y > -1/2x - 3 is (2, -4)

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Answer:

i will see if i can figure it out

gl dude

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ok ill try to find it and answer it

Answer:

f(3) = 30

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 3x² + 2x - 3

f(3) is x = 3

Step 2: Evaluate