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i need help quick
whoever answers this first..
i will give them 100 points

Answer:

To solve the system of linear equations:

x_1 + 3x_2 = 1 ...(1)

2x_1 + 5x_2 = 3 ...(2)

We can use the method of elimination to eliminate one of the variables. To do this, we multiply equation (1) by 2, and subtract it from equation (2), as follows:

2(x_1 + 3x_2 = 1) => 2x_1 + 6x_2 = 2 ...(3)

2x_1 + 5x_2 = 3 ...(2)

(2x_1 + 6x_2 = 2) ...(3)

-x_2 = 1

Thus, we have found that x_2 = -1.

We can substitute this value of x_2 into either equation (1) or (2) to solve for x_1. Let's use equation (1):

x_1 + 3(-1) = 1

x_1 - 3 = 1

x_1 = 4

Therefore, the solution to the system of linear equations is x_1 = 4, x_2 = -1.

So the solution set is {(4, -1)}.

Answer:

X=4.5, or X=4 1/2

Step-by-step explanation:

The value of the equation a - 32 = 47 is a = 79.

The correct option is D.

A pair of algebraic equations with the equal symbol (=) in the center and the same value are referred to as an equation.

Given:

An equation,

a - 32 = 47.

To find the value of a:

We will use some mathematical operations.

Add 32 to both sides of the equation,

we get,

a - 32 + 32 = 47 + 32

a - 0 = 79

a = 79

Therefore, the value of a is 79.

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The value of y in the regular dodecagon is 8°

What is Dodecagon?

Dodecagon is is a closed figure that has 12 sides and 12 angles. It has 12 vertices, each of which is connected to two sides.

What is Regular Dodecagon?

Regular Dodecagon is has all 12 sides of equal length and all angles of equal measure. It is a 12-sided polygon that is symmetrical.

To find the interior angle ,

= (n - 2)180° where the sides is 12

= (12-2)180°

= 1800°

= 1800/12  = 150°

i.e, each angle of the dodecagon = 150°

To determine this,

17y + 14° = 150°

17y = 150° - 14°

17y = 136°

y = 136°/17

y = 8°

Therefore, the value of y = 8°

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Answer:

x = -7.8

Step-by-step explanation:

Solve for x:

[tex]x-(-3.9)=-3.9[/tex]

Simplify

[tex]x+3.9=-3.9[/tex]

Subtract 3.9 on both sides

[tex]x=-7.8[/tex]

Answer:

Below

Step-by-step explanation:

Definition of density is  mass / volume = 1250 g / (5 x14x7) = 2.55 gm/cm^3

Answer:

see explanation

Step-by-step explanation:

calculate slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

consider the middle dotted line

with

(x₁, y₁ ) = (- 5, - 3) and (x₂, y₂ ) = (6, 8) ← 2 points on the line

m = [tex]\frac{8-(-3)}{6-(-5)}[/tex] = [tex]\frac{8+3}{6+5}[/tex] = [tex]\frac{11}{11}[/tex] = 1

consider the line of reflection ( the solid line )

with

(x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (- 1, 4) ← 2 points on the line

m = [tex]\frac{4-3}{-1-0}[/tex] = [tex]\frac{1}{-1}[/tex] = - 1

Answer:

15. x = -3.

16. x = -2.

17 x = 2.

Step-by-step explanation:

To solve the equation 7x + 5 = 12x - 10, we want to isolate the variable x on one side of the equation. We can do this by adding or subtracting terms from both sides of the equation until we have x by itself.

First, let's simplify both sides of the equation by combining like terms:

7x + 5 = 12x - 10

-7x -7x (subtracting 7x from both sides)

5x + 5 = -10

Next, let's isolate the term with x by subtracting 5 from both sides of the equation:

5x + 5 = -10

-5 -5 (subtracting 5 from both sides)

5x = -15

Finally, let's solve for x by dividing both sides of the equation by 5:

5x = -15

x = -3

Therefore, the solution to the equation 7x + 5 = 12x - 10 is x = -3.

26 = 24 - x

-24 -24 (subtracting 24 from both sides)

2 = -x

Next, let's isolate the variable x by multiplying both sides of the equation by -1:

2 = -x

-1 -1 (multiplying both sides by -1)

-2 = x

Therefore, the solution to the equation 26 = 24 - x is x = -2.

2(6x - 7) = 10

12x - 14 = 10

Next, let's isolate the term with x by adding 14 to both sides of the equation:

12x - 14 = 10

+14 +14 (adding 14 to both sides)

12x = 24

Finally, let's solve for x by dividing both sides of the equation by 12:

12x = 24

x = 2

Therefore, the solution to the equation 2(6x - 7) = 10 is x = 2.

Answer:

-1 9/10, -1.7, -1.5, -1 1/10

Step-by-step explanation:

The numbers from least to greatest is   [tex]-1\frac{9}{10}[/tex], -1.7, -1.5,[tex]-1\frac{1}{10}[/tex]

A number system is defined as a system of writing to express numbers.

The given numbers are

-1.5, [tex]-1\frac{9}{10}[/tex], -1.7, [tex]-1\frac{1}{10}[/tex]

Now let us simplify each number or fraction

Convert mixed fractions to improper and find the decimal value.

[tex]-1\frac{9}{10}[/tex]=-81/10

[tex]-1\frac{9}{10}[/tex]=-8.1

[tex]-1\frac{1}{10}[/tex]=-9/10

[tex]-1\frac{1}{10}[/tex]=-0.9

So least to greatest is -8.1, -1.7, -1.5, -0.9

least to greatest is  [tex]-1\frac{9}{10}[/tex], -1.7, -1.5,[tex]-1\frac{1}{10}[/tex]

Hence, the numbers from least to greatest is   [tex]-1\frac{9}{10}[/tex], -1.7, -1.5,[tex]-1\frac{1}{10}[/tex]

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Answer:

£750

Step-by-step explanation:

The interest Kay will have to pay can be calculated using the simple interest formula:

interest = principal x rate x time

where the principal is the amount borrowed, the rate is the annual interest rate, and the time is the duration of the loan in years.

In this case, the principal is £5,000, the rate is 15% per year, and the time is 1 year. Substituting these values into the formula, we get:

interest = 5000 x 0.15 x 1 = £750

Therefore, Kay will have to pay £750 in interest over the course of the one-year loan.

Answer:

Step-by-step explanation:

Since the interest rate is 15%, she'll have to pay 15% of the principal per yar, which is £5000 x 15 / 100 = £750. And since she borrows it for only one years, that total amount of interest will be £750 x 1 = £750.

The snowstorm resumes at a consistent rate of 2 inches per hour after 5 hours. Draw a second diagonal line with a slope of 2 as a result. Points 7 and 10 should be the beginning and finish of this line, respectively (14,18).

The resulting graph should include a horizontal line at y=10 from (0,4) to (2,10), a diagonal line with a slope of 2 from (7,10) to (0,4), and a horizontal line at y=3 from (0,4) to (0,10). (14,18).

Graphs are visual representations of data that show how any two variables relate to one another. Without requiring a lot of words, they are frequently used to communicate complex and large amounts of data. A specific amount of data must be gathered through surveys or experiments before a graph may be created.

To create the graph of the snow on the ground over time, we can follow these steps:

Start with a point at (0,4) since at the beginning of the storm there were 4 inches of snow on the ground.

From this starting point, draw a diagonal line with a slope of 3, representing the constant rate of snowfall of 3 inches per hour. This line should have a y-intercept of 4 and an x-intercept of 2 (since 6 inches of snow fell in 2 hours).

After the 6 inches of snow have fallen, the snowstorm stops for 5 hours. During this time, the snow on the ground remains the same. So, draw a horizontal line at the y-value of 10 (since there are 10 inches of snow on the ground after the first 6 inches fall).

After 5 hours, the snowstorm starts again at a constant rate of 2 inches per hour. So, draw another diagonal line with a slope of 2. This line should start at the point (7,10) and end at the point (14,18).

The resulting graph should have a diagonal line with a slope of 3 from (0,4) to (2,10), a horizontal line at y=10 from (2,10) to (7,10), and a diagonal line with a slope of 2 from (7,10) to (14,18).

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The length of CF is solved to be 12

In the figure the value of CF is solved using the vertical angle theorem and sum of angles in a triangle

In triangle GBC

angle C = 180 - 90 - 45

angle C = 45

Using vertical angle theorem

angle DCB = angle DCF

Using trigonometry relation we have

cos 45 = CF / 12√2

CF = cos 45 * 12√2

CF = 12

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The solution is, the required z-score is, 0.25.

In statistics, the standard score is the number of standard deviations by which the value of a raw score is above or below the mean value of what is being observed or measured. Raw scores above the mean have positive standard scores, while those below the mean have negative standard scores.

here, we have,

Given that :

Mean score, μ = 69

Standard deviation, σ = 4

Score, x = 64

The standardized score, Zscore can be obtained using the formular :

Zscore = (x - μ) / σ

Zscore = (69 - 68) / 4

Zscore = 1 / 4

Zscore = 0.25

Hence, The solution is, the required z-score is, 0.25.

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If x represents the number of apples purchased and y represents the number of mangos we can set up the following:

Kayden has $20, so can spend up to this amount:

He must buy a minimum of 16 apples and mangos altogether:

Also, he must buy no less than 16 apples:

We also need to consider y can't be negative, hence add one more inequality:

Plot all four inequalities and see what is the zone of intersection.

The solution is the set of whole coordinates for x and y within the triangle with vertices at (16, 0), (16, 4) and (26.67, 0).

One possible solution is (20, 2) another one (24, 1).

See attached.

The exponential equation that passes through these two points is:

y = 26.678*(14/11)^x

A general exponential equation is:

y = A*(b)^x

If we know the two points (3, 55) and (4, 70), then we can write  two equations:

55 = A*(b)^3

70 = A*(b)^4

If we take the quotient between the second equation and the first one, then we get:

70/55 = (A*(b)^4)/(A*(b)^3)

70/55 = b

14/11 = b

Then we can write:

55 = A*(14/11)^3

(11/14)^3*55 = A

26.678 = A

Then the exponential equation is:

y = 26.678*(14/11)^x

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We can use the formula for compound interest to find the time it will take to reach the target amount:

FV = PV * (1 + r)^t

where FV is the future value (target amount), PV is the present value (amount you have today), r is the interest rate, and t is the time (in years).

Substituting the given values, we get:

230000 = 31000 * (1 + 0.045)^t

Simplifying and solving for t, we get:

t = log(230000/31000) / log(1 + 0.045)

t ≈ 14.09

Therefore, it will take approximately 14.09 years to save enough to buy the Ferrari.

The solution is, y = 2x + 5+4 when graph would shift by 4 unit.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

Given  : y = 2x + 5 .

To find :

If you wanted to shift the graph up what would be equation .

Solution : We have given that y = 2x + 5 .

BY the transformation rule ;

if f(x) +k then graph would shift up by k units .

Then to shift the graph of y = 2x + 5 up we need to add something in 5

Like   y = 2x + 5+4

Then graph would shift by 4 unit.

Therefore,   y = 2x + 5+4 graph would shift by 4 unit.

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Answer:

g(x) = x + 3

Step-by-step explanation:

To see how this works, we can plug g(x) into f to get:

f(g(x)) = f(x + 3) = (x + 3)^3

Then, we can simplify h(x) = (x + 9) as follows:

h(x) = (x + 9) = ((x + 3) + 6) = g(x) + 6

Finally, we can write h(x) in terms of f(g(x)) as:

h(x) = g(x) + 6 = f(g(x)) + 6 = f(x + 3) + 6 = (x + 3)^3 + 6

Randy had 20 touchdown passes and his deviation from the mean is 5.

The standard deviation is a metric that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation. Because it uses the data set's original units of measurement, it is a well-liked measure of variability. When data points are closely spaced from the mean, there is a small variation, and when they are far spaced from the mean, there is a large variation. The standard deviation determines how much the values deviate from the mean. The most popular way to assess dispersion is standard deviation, which is based on all values.

Given that, mean touchdown passes=15.

Randy's touch down passes = 20.

The deviation of the touch down passes = 20 - 15 = 5.

Hence, his deviation from the mean is 5.

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The circumference of a circle with a radius of 14 feet is 88 feet.

Every point in the surface of a circle, which is a circular, two-dimensional object, is evenly separated from the centre. All lines that cross the circle join together to produce the line of reflected symmetry. Each angle has axis of symmetry around the centre, in addition. Monitoring a linear interpolation in a surface while keeping a fixed distance from some other point will result in the closed shape of a circle. The English term circle derives from the Greek word curriculum provides students, which also means hoop or ring.

When we find the circumference, we obtain:

The  circumference( C) of a circle is 2πr.

C=2πr

⇒C=2×[tex]\frac{22}{7}[/tex]×14=88 feet.

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The standard equation of a hyperbola centered at the origin and a vertical transverse axis values of a=8 and b=9 is  y²/64 - x²/81 = 1.

In mathematics, a hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set. A hyperbola has two pieces, called connected components or branches, that are mirror images of each other and resemble two infinite bows.

The standard equation of a hyperbola centered at the origin and a vertical transverse axis is given by

y²/a² - x²/b² = 1

We are given that;

a = 8

b = 9

Now, putting the values of the variables into the equation;

y²/a² - x²/b² = 1

y²/8² - x²/9² = 1

y²/64 - x²/81 = 1

Therefore, the standard equation will be  y²/64 - x²/81 = 1.

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Answer: If the new or compared value is P% more than the reference value, you can calculate the reference value as follows:

Reference value = New or compared value / (1 + P/100)

For example, if the new value is 120% of the reference value, then P = 20 and the reference value can be calculated as:

Reference value = New value / (1 + 20/100) = New value / 1.2

If the new or compared value is P% less than the reference value, you can calculate the reference value as follows:

Reference value = New or compared value / (1 - P/100)

For example, if the new value is 80% of the reference value, then P = 20 and the reference value can be calculated as:

Reference value = New value / (1 - 20/100) = New value / 0.8

Step-by-step explanation:

The answer is option B, 1(1/2) yards.

How to determine the total amount?

We apply the following total sales calculation to get the total sales amount.

Total sales = original price + original price * sales tax rate

To find out how many yards of cloth remain, we need to subtract the amount used for making curtains from the total amount provided:

Total amount of cloth provided = 5(3/4) yards

Amount of cloth used for curtains = 4(1/4) yards

Remaining amount of cloth = Total amount of cloth provided - Amount of cloth used for curtains

= 5(3/4) - 4(1/4) yards

= 5 yards + 0.75 yards - 4 yards - 0.25 yards

= 1(1/2) yards

Therefore, the answer is option B, 1(1/2) yards.

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Answer: el enunciado cinco veces la diferencia de un numero y 3 es 17

Step-by-step explanation:

Answer:

ATQ, 5( x -3 ) = 17

5 x - 15 = 17

5x = 17 + 15

x = 32 /5

x = 6.4 ,

The solution to the inequality is x ≤ 1.

Inequality in mathematics is when two values are not equal. It can be expressed using symbols such as >, <, ≥ and ≤. This can be used to compare two values, express a range of values, or indicate that one value is greater or less than another. Inequality is a powerful tool for solving mathematical problems, as it can be used to deduce relationships between different variables.

To solve this inequality, we must first perform the operations on the left side of the equation to get an expression equal to 4. We can start by simplifying the fraction on the left side of the equation. We can multiply both the numerator and denominator by x, which will give us 5x - 3 = x + 2x. We can then add 3 to both sides to get 5x = 3 + 2x, which can then be simplified to 3x = 3. Finally, we can divide both sides by 3 to get x = 1. Therefore, the solution to the inequality is x ≤ 1.

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According to the given information the Minimize equation is

Z = 110X11 + 120X12 + 120X21 + 130X22.

What is Statistics ?

Statistics is a branch of mathematics that deals with collecting, analyzing, interpreting, presenting, and organizing data. It provides methods and techniques to make sense of complex data sets, to draw conclusions and make decisions based on the data. Statistics can be applied to a wide range of fields, including business, economics, social sciences, medicine, and many others. Some key topics in statistics include probability theory, hypothesis testing, regression analysis, and data visualization.

Minimize:

Z = 110X11 + 120X12 + 120X21 + 130X22

Subject to:

X11 + X12 ≤ 1500 (capacity constraint for Amarillo)

X21 + X22 ≤ 3300 (capacity constraint for Charlotte)

X11 + X21 ≥ 2100 (demand constraint for Detroit)

X12 + X22 ≥ 1000 (demand constraint for Atlanta)

where:

X11 = number of components produced in Amarillo and supplied to Detroit

X12 = number of components produced in Amarillo and supplied to Atlanta

X21 = number of components produced in Charlotte and supplied to Detroit

X22 = number of components produced in Charlotte and supplied to Atlanta

Therefore, according to the given information the Minimize equation is

Z = 110X11 + 120X12 + 120X21 + 130X22

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Answer:

f/ 3 4 5 6

b/ 8 10 12 14

Step-by-step explanation:

the 4th wall has 6×3-4=14

so the relationship is

f/ 3 4 5 6

b/ 8 10 12 14

Answer: One foot is equal to 12 inches, and since 1 inch is equal to 2.54 centimeters, we have:

1 foot = 12 inches = 12 x 2.54 cm = 30.48 cm

So the length of the flat bar is 30.48 cm. Multiplying this length by the price per cm, we get:

30.48 cm x 2 pesos/cm = 60.96 pesos

Therefore, we need 60.96 pesos to buy a flat bar of length 1 foot at a price of 2 pesos per cm.

Step-by-step explanation: