Solve for x.
z=9(x+2)

Answer: 9. x=4    ST=11

             10. x=17  UW=67

Step-by-step explanation:

9.

[tex]RS+ST=RT\\RS=6x+1\ \ \ \ \ ST=x+7\ \ \ \ RT=36\\Hence,\\6x+1+x+7=36\\7x+8=36\\7x+8-8=36-8\\7x=28\\[/tex]

Divide both parts of the equation by 7:

[tex]x=4\\ST=x+7\\ST=4+7\\ST=11[/tex]

10.

[tex]UV+VW=UW\\UV=19\ \ \ \ UW=4x-20\ \ \ \ UW=6x-35\\Hence,\\19+4x-20=6x-35\\4x-1=6x-35\\4x-1-4x=6x-35-4x\\-1=2x-35\\-1+35=2x-35+35\\34=2x[/tex]

Divide both parts of the equation by 2:

[tex]17=x\\UW=6x-36\\UW=6*17-35\\UW=102-35\\UW=67[/tex]

The value of algebraic expression for given is (x + 1)(x - 1)

An algebraic expression is one that has been constructed using integer constants, variables, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.

A group of phrases containing letters and numbers that are joined using addition (+), subtraction (-), multiplication (*), and division (**) are known as algebraic expressions.

Let the number be x

Expression for given statement will be -

(x + 1)(x - 1)

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4 people can go to the amusement park.

Let the number of people that can go to amusement park be x.

The parking fee will be paid once only, while cost of ticket will be multiplied based on the number of people.  

Forming equation as per the given information in question -

11.25 + 35.75 × x = 154.25

Solving the equation as per the operators -

Shifting 11.25 to Right Hand Side of the equation

35.75x = 154.25 - 11.25

Performing subtraction on Right Hand Side of the equation

35.75x =  143

Shifting 35.75 to Right Hand Side of the equation

x = 143 ÷ 35.75

Performing division on Right Hand Side of the equation

x = 4

Therefore, 4 people can go to the amusement park.

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The value of 'x' is -8 in the given equation 121 = 4(5-3x) + 5.

So, 121 = 4(5-3x) + 5:

Therefore, the value of 'x' is -8 in the given equation.

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Answer:

23716 cubic feet

Step-by-step explanation:

7^2=49

11^2=121

2^2=4

49x121=5929

2929x4=23716

Answer: x=3

Step-by-step explanation:

-2(7-x) + 4= -4

-14 + 2x + 4= -4

2x - 10= -4

2x = 6

x=3

Answer: .[tex]306^{-3}[/tex]

Step-by-step explanation:

Answer: +6.03E-3

Step-by-step explanation:

[tex]0.00603=6.03*10^{-3}[/tex]

6.03*10⁻³=+6.03E-3

The equation of the line is y = -7.5x - 2.5

The given parameters are

y-intercept = -5/2

x-intercept = -1/3

A linear equation is represented s

y = mx + c

Where

c = y-intercept = -5/2

So, we have:

y = mx - 5/2

The equation x-intercept = -1/3 means that

y = 0 and x = -1/3

So, we have

0 = -1/3m - 5/2

This gives

1/3m = -5/2

Evaluate

m = -15/2

Substitute m = -15/2 in y = mx - 5/2

y = -15/2x - 5/2

Rewrite as

y = -7.5x - 2.5

Hence, the equation of the line is y = -7.5x - 2.5

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Answer:

x = 4

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

I got you bro dont worry

The straight line graph, passing through points (0, 100) and (20, 400), can be described as follows;

1. y = 15•x + 100

2. The slope is first calculated, then the equation is expressed in the point and slope form

3a. A real world situation that can be modelled by the equation is the total cost of joining a gym.

3b. The x-axis represent the number of months of membership, while the y-axis represents the total cost of membership

1. Points on the graph are; (0, 100) and (20, 400)

The slope, m, is therefore;

m = (400 - 100)/(20 - 0) = 15

The equation in slope and intercept form is therefore;

y - 100 = 15•(x - 0) = 15•x

2. The equation of the graph is found based on obtaining two points on the graph, from which the slope can be calculated.

The slope and intercept form is obtained from the point and slope form by making y the subject

3a. A real world example is fitness service that has a joining fee of $100 and a monthly payment of $15

3b. The labels for the x and y axis based on the above situation are;

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Answer:

The function is increasing from x = 0 to x = 1.

Step-by-step explanation:

The value of g(0) is less than g(1), meaning g(x) increased from x=0 to x=1.

Answer:

He will pay $1,050 interest

Step-by-step explanation:

5% interest is paid every year for 3 years

5% * 3(years) = 15%

7000 * 15% = $1,050

$1,050

1. The two points that lie on a line with a slope of 2/3 are: D. (–3, 2) and (0, 4)

2. The slope is: B. 0.

The formula for finding the slope of a line is:

Slope (m) = change in y/change in x

1. To find the two points that has a slope of 2/3, calculate the slope of each of them:

Slope for A = (0 - 0)/(3 - 2) = 0

Slope for B = (-4 - 2)/(3 - 1) = -3

Slope for C = (3 - 0)/(2 - 0) = 3/2

Slope for D = (4 - 2)/(0 -(-3)) = 2/3

Therefore, the two points that lie on a line with a slope of 2/3 are: D. (–3, 2) and (0, 4)

2. Slope of the line = change in y / change in x = (-1 -(-1))/(-3 - 6)

Slope (m) = 0/-9

Slope (m) = 0

The slope is: B. 0.

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This is because they are likely to report their favorite game as soccer or some other related game.

What is survey explain?

What three sorts of surveys are there?

Most studies fall into one of three categories: exploratory, descriptive, or causal. Each has a distinct function and can only be applied in specified ways.

The biased result would be provided by the -

Ask people attending a soccer game

This is because they are likely to report their favorite game as soccer or some other related game.

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Answer: So after applying concept of parallelism m<10 = 119

Step-by-step explanation:

As we have given m<119

In terms of parallelism

m< 4 = m<8

and m<8 = m<10

Therefore

m< 10 = m<4 = 119

So after applying concept we get m<10 = 119.

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After d days the total number of lily in the ponds are . It is an simple example of geometric progression.

The formula to calculate the sum of the first n terms of a geometric progression is given by: Sn = a[(rn – 1)/(r – 1)]. Where r is the common ratio and a is the first number of the progress.

Lilly pond starts with 1 Lilly pad, so a = 1and every day amount doubles, so r = 2. Total number of day is d, so n = d.

Therefore, the total number of lilly in the pond is = 1x[(2d-1)/(2-1)] = 2d-1.

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Answer:

Step-by-step explanation:12

Answer:

false

Step-by-step explanation:

The perimeter of the triangle is 40 units

From the question, we are to determine the perimeter of the given triangle

From the given diagram, we can observe that the triangle is a right triangle

The vertical length of the triangle is 15 units

and the horizontal length of the triangle is 8 units

Thus,

We can find the hypotenuse by using the Pythagorean theorem

Let the hypotenuse be h

Then,

h² = 15² + 8²

h² = 225 + 64

h² = 289

h = √289

h = 17 units

Now, for the perimeter of the triangle

The perimeter of a triangle is the sum of all its three sides

Thus,

The perimeter. P, of the triangle is

P = 15 + 8 + 17

P = 40 units

Hence, the perimeter of the triangle is 40 units

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Answer:

work is shown and pictured

Answer:

12, 20, 5, 30, 10, 14, 10, 20, 10, 16

Step-by-step explanation:

1.) 21-9=12

2.)35-15=20

3.) 30-25=5

4.) 40-10=30

5.) 30-20=10

11.) 34-20=14

12.) 22-12=10

13.) 30-10=20

14.) 19-9=10

15.) 28-12=16

The unit rate is 30 miles per gallon

The number of miles travelled is 360 miles

The number of gallons is 12 gallons

Therefore the unit rate can be calculated as follows

Unit rate= 360/12

= 30

Hence the unit rate is 30 miles per gallon

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The value of the quantity d is 0.0462 m^2/s.

Here,

The quantities a=3.7m, b=3.7s, c=80m/s.

We have to find the value of d = a^3/cb^2

What is quantity?

A quantity is an amount, number, or measurement that answers the question 'how much?' Quantities can be expressed in numbers or non-standard units.

Now,

The quantities a=3.7m, b=3.7s, c=80m/s.

The value of d;

[tex]d = \frac{a^{3} }{cb^{2} }[/tex]

[tex]d = \frac{3.7*3.7*3.7 }{80 * 3.7^{2} }[/tex]

[tex]d = \frac{3.7}{80}[/tex]

[tex]d = 0.0462[/tex]

Hence, The value of the quantity d is 0.0462 m^2/s.

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[tex]m = \frac{y2 - y1}{x2 - x1} \\ m = \frac{0 - 7}{ - 3 - 0} \\ m = \frac{ - 7}{ - 3} \\ m = \frac{7}{3} [/tex]

PLEASE GIVE BRAINLIEST

We need to know how to solve quadratic equation for this problem. The solution of the equation is x=1 and x=10.

An equation that has a variable with maximum degree two is called a quadratic equation. A quadratic equation can be solved by factorization method. Factorization method is a method where we group the variables together to find common factors among them. The common factors give the solution of the equation. Since a quadratic equation has variable of degree two it has two solutions. The roots of a quadratic equation can be real and unequal, real and equal or imaginary. If we solve the given equation we get a quadratic equation.

[tex]\frac{1}{x} +\frac{1}{x-10} =\frac{x-9}{x-10} \\\frac{x-10+x}{x(x-10)} =\frac{x-9}{x-10} \\2x-10=x(x-9)\\2x-10=x^{2} -9x[/tex]

[tex]x^{2} -9x-2x+10=0\\x^{2} -11x+10=0\\x^{2} -10x-x+10=0\\x(x-10)-1(x-10)=0\\(x-1)(x-10)=0\\[/tex]

Therefore the solution of the equation is x=1 and x=10.

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The float type of data stores real numbers (numbers with decimal values) such as 3.2, 5.67 and 48.42.

A data type, in programming, is a classification that specifies which type of value a variable has and what type of mathematical, relational or logical operations can be applied to it without causing an error.

All number types that allow for the possibility of a fractional component, such as 42.7 or pi, are known as floating point types.

The precision of various floating point data types varies depending on how many bits are utilized to represent the digits, which is directly proportional to the total number of bits in the number. In the IEEE standard, for instance:

Hence, the type of data is floating point.

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Answer:

2/3

Step-by-step explanation: