tickets for a school play have one price for students, x, and a different price for non-students, y. The system of equations shown is based on two different ticket orders in which the prices x and y are in dollars. 2x + 3y = 49 and x + 2y = 30
A. What is the first step in solving the system by substitution?
B. Solve the system and explain what your solution represents.

The numbers represented by the statement are 17 and 10

Represent the larger number with x and the smaller number with y

So, we have the following representation from the question

x = 2y - 3

x + y = 27

Substitute x = 2y - 3 in the equation x + y = 27

So, we have the following representation

2y - 3 + y = 27

Evaluate the like terms

3y = 30

Divide both sides by 3

y = 10

Recall that

x = 2y - 3

So, we have

x = 2 * 10 - 3

Evaluate

x = 17

Hence, the numbers are 17 and 10

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Answer:

5

Step-by-step explanation:

The squares with 2, 6, 4, 3 will be all the left, front, right, back sides. The 1 and 5 will flap up/down to be the top and bottom. So 1 and 5 will be opposite from each other.

Answer:

-6.81 < 0.979, -0.87 > 5%

Step-by-step explanation:

1. Compare the whole numbers of each pair: 6 < 0 and -0 < 5

2. Compare the decimal numbers of each pair: 0.81 < 0.979 and 0.87 > 0.05

3. Combine the two comparisons to get the final result: -6.81 < 0.979 and -0.87 > 5%

Answer:

Pemdas?

Step-by-step explanation:

Parantheses

Exponents

Multiplication

Division

Addition

Subtraction.

Answer:

Uhm…

Step-by-step explanation:

You either add, divide, multiply, or divide

Das is how we solve equations

[tex]\textit{height of an equilateral triangle}\\\\ h=\cfrac{s\sqrt{3}}{2} ~~ \begin{cases} s=sides\\[-0.5em] \hrulefill\\ s=2 \end{cases}\implies h=\cfrac{2\sqrt{3}}{2}\implies h=\sqrt{3}\implies h\approx 1.7[/tex]

Answer: 0.38 is correct!

Step-by-step explanation:

0.50 - 0.12 = 0.38
Your answer is correct

The value of the functions defined in the piecewise function f(1) - f(-7) is 4

From the question, we have the following piecewise function that can be used in our computation:

f(x) = | x + 8| - 9         if x ≤ -4

         -x² - 3x             if  -4 < x ≤ 1

         2x + 7               if  x > 1

So, we have the expression to be

f(1) - f(-7)

In the function f(1), we have the x value to be

x = 1

This x value is at the domain -4 < x ≤ 1

So, we make use of

f(x) = -x² - 3x

Substitute 1 for x in f(x) = -x² - 3x

f(1) = -(1)² - 3(1)

Evaluate

f(1) = -4

In the function f(-7), we have the x value to be

x = -7

This x value is at the domain x ≤ -4

So, we make use of

f(x) = |x + 8| - 9

Substitute -7 for x in f(x) = | x + 8| - 9

f(-7) = |-7 + 8| - 9

Evaluate

f(-7) = -8

Recall that

f(1) - f(-7)

So, we have

f(1) - f(-7) = -4 - -8

This gives

f(1) - f(-7) = 4

Hence, the value of f(1) - f(-7) is 4

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The true statement is (c) SSS; two congruent sides are given and the third side is congruent by the Reflexive Property of Congruence.

Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.

It is given that:

The sides marked with II are congruent.

The triangles are congruent.

Thus, the true statement is (c) SSS; two congruent sides are given and the third side is congruent by the Reflexive Property of Congruence.

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The constraints that describe the system of inequalities in this problem are given as follows:

The first step toward obtaining the constraints is defining the variables, as follows:

Apex feels that the ads must reach at least 37 million women, hence, for the amounts of each event, the constraint is given as follows:

7x + 2y ≥ 37.

They also want to reach at least 32 million men, hence the constraint is given as follows:

4x + 12y ≥ 32.

The reaches are already given in millions of people, hence the millions don't need to be inserted into the equations.

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Answer:

x - 9y = -45

Step-by-step explanation:

y = 1/9 x + 5  Multiply all the way through by 9 to clear the fraction

9y = x + 45   -9y from  both sides

0 = x - 9y + 45  Subtract 45 from both sides

-45 = x  - 9y  You can rewrite

x - 9y = --45

Answer:

C (71)

Step-by-step explanation:

Hi there! I am very happy to answer your question!

[tex]65x+23000-50x=24065[/tex]

[tex]15x+23000=24065[/tex]

[tex]15x=24065-23000[/tex]

[tex]15x=1065\\[/tex]

[tex]x=\frac{1065}{15}[/tex]

[tex]x=71[/tex]

Answer:

-14

Step-by-step explanation:

x = 98

x = -7x

98/-7 = -14

x = -14

If it is correct, can you please give me a brainliest? Thank you!

Answer:

Plan B: 5n > 8

Plan A: 3n + 8 < 5n

No, because it has a constant rate of change

Answer:-2

Step-by-step explanation:

Step 1: Write this in slope-intercept form

y=mx+b

Step 2: Plug in the known values

m is the slope, x is the given x value, and y is the given y value

4=2(3)+b

Step 3: Solve for the y-intercept

the y-intercept is b, so all we need to do is solve for b

4=6+b

subtract 6 from both sides so that y is isolated

Answer: b=-2

The y-intercept is -2

The remaining amount of salt that Tom needed to pour was 67.59 grams.

To subtract in mathematics is to take something away from a group or a number of objects.

In other meaning, subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.

The group's total number of items decreases or becomes lower when we subtract from it.

As per the given,

The total amount that Tom needs to pour = 84.99 grams

Amount poured = 17.4 grams

Remaining = 84.99 grams - 17.4 grams = 7.59 grams

Hence "The remaining amount of salt that Tom needed to pour was 67.59 grams".

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This is the simple form of the given equation [tex]\frac{(-4x^4z^3 - 5x^4z^5 + 8) }{(x^2z^2)}[/tex]

What is the polynomial equation?

An algebraic equation, also known as a polynomial equation, in mathematics, is a formula of the form P=0, where P is a polynomial with coefficients in some field, typically the field of the rational numbers.

We have,

(32 x³ z² - 16 x⁷ z⁵ - 20 x⁷ z⁷) ÷ (4x⁵ z⁴)

(32 x³z² - 16 x⁷z⁵ - 20 x⁷z⁷) * 1/(4x⁵z⁴)

[tex]\frac{(32 x^3z^2 - 16 x^7z^5 - 20x^7z^7) }{(4x^5z^4)}[/tex]

[tex]=\frac{(-4x^4z^3 - 5x^4z^5 + 8) }{(x^2z^2)}[/tex]

Hence, this is the simple form of the given equation [tex]\frac{(-4x^4z^3 - 5x^4z^5 + 8) }{(x^2z^2)}[/tex]

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Answer: 67.38

Step-by-step explanation:

Assuming that [tex]\triangle ACD \cong \triangle BCD[/tex], [tex]m\angle BCD=\frac{134.76^{\circ}}{2}=67.38^{\circ}[/tex] by CPCTC.

The best way to start off this question is to get rid of the y value as the y value is already equal in both equations. T[tex]-1[/tex]o get rid of the y value, subtract the 2 equations together.

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

[tex]x=-1[/tex]

Now that you have solved x, you can replace any x value (from either equation). In this scenario, the first equation is easier to solve for the y value.

[tex]2(-1)+3y=6\\-2+3y=6\\3y=8\\y=\frac{8}{3}[/tex]

Thus,

x = [tex]-1[/tex] and y = [tex]\frac{8}{3}[/tex];    [tex](-1,\frac{8}{3} )[/tex]

Hope this helped :)

Answer:

7/5 decimal form- 1.4

Step-by-step explanation:

Hope this helped ! :D

The height of the cylindrical piece of pure gold with density and mass of 19.32 g/cm³ and 1699.48g, having a radius of 2cm is 7cm.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )

Also, density is expressed mathematically as;

p = m / v

Given that;

First, we determine the volume of the cylinder.

Density = Mass / Volume

Volume = Mass / Density

Volume = 1699.48g / 19.32g/cm³

Volume = 87.9648 cm³

Next, we determine the height.

V = π × r² × h

87.9648 = 3.14 × (2)² × h

87.9648 = 3.14 × 4 × h

87.9648 = 12.56 × h

h = 87.9648 / 12.56

h = 7cm

Therefore, the height of the cylinder is 7cm.

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well, the wording is

"the yards from their goal line as a function of the number of plays"

the number of plays is the independent variable, meaning the dependent variable is the number of yards, hmmm so they're about to start their play on the 5-yard line, meaning the number of plays at this point is 0, zilch, then they move on each 3 plays by 10 yards, so let's make a table

[tex]\begin{array}{ccll} Plays&Yards\\ \cline{1-2} 0&5\\ 3&\underset{5+10}{15} \end{array}\hspace{5em} (\stackrel{x_1}{0}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{15}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{15}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{0}}} \implies \cfrac{10 }{ 3 }[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{ \cfrac{10 }{ 3 }}(x-\stackrel{x_1}{0})\implies y-5=\cfrac{10}{3}x[/tex]

oddly enough, looks like yours :)

Answer:

2 7/15 miles

Step-by-step explanation:

1 4/5 = 1 + 4/5 = 5/5 + 4/5 = (5+4)/5 = 9/5

Then:

1 4/5 + 2/3 = 9/5 + 2/3

9/5 = 27/15

2/3 = 10/15

Then:

9/5 + 2/3 = 27/15 + 10/15 = (27+10)/15

= 37/15

37/15 = 30/15 + 7/15 = 2 + 7/15

= 2 7/15

Answer:

8 yd = 7.2192 m

4.79 ft = 1.4499 m

7.2192 m + 1.4499 m = 8.6691 m

8.6691 m x 100 cm = 866.91 cm

Answer:

y=-5x+5

Step-by-step explanation:

The value of the given composite function f(g(7)) will be -9 for the given data.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

As per the given,

f(1)=7

Take the g function on both sides

g(f(1)) = g(7)

Since, g(7) = 11

Thus, Take f function on both sides,

f(g(7)) = f(11)

Since,f(11)=-9

Thus,f(g(7)) = -9

Hence "The value of composite function f(g(7)) is -9".

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Answer: 10 minutes

Step-by-step explanation:

6,300*1/3=2,100

2,100=210x

2,100/210=10

x=10 minutes

the answer is prolly not B