10x-9y=46 and -2x+3y=5 solve using elimination

Answers

Answer 1

Answer:

x = 15.25

y = 71/6

Step-by-step explanation:

10x -9y = 46

-2x + 3y = 5

Time the second equation by 5

10x - 9y = 46

-10x + 15y = 25

6y = 71

y = 71/6

Now put 71/6 back in for y and solve for x

10x -9(71/6) = 46

10x -106.5 = 46

10x = 152.5

x = 15.25

Let's check

-2(15.25) +3(71/6) = 5

-30.5 + 35.5 = 5

5 = 5

So, x = 15.25 and y = 71/6 is the correct answer.


Related Questions

Suppose "n" can't equal 0 or 1. Show that substitution v=y^(1-n) transforms the Bernoulli equation dy/dx + P(x)y=Q(x)y^(n)into the linear equation dv/dx + (1-n)P(x)v(x)=(1-n)Q(x).

Answers

Answer:v = y(1-n)dv/dx = (1-n)y-n dy/dxso dy

Step-by-step explanation:

The diameter of a circle is 7 ft. Find the circumference to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

C=[tex]2\pi R=\pi d[/tex]

if [tex]\pi = 3.14[/tex]

c=3.14*7=21.98

What is equation of a semicircle?

Answers

The equation of the semicircle upper side of the x-axis will be x = √[r² - (y - k)²] + h.

What is the equation of a circle?

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let r be the radius of the circle and the location of the center of the circle be (h, k). Then the equation of the circle is given as,

(x - h)² + (y - k)² = r²

The equation of the semicircle upper side of the x-axis will be given as,

(x - h)² + (y - k)² = r²

x - h = √[r² - (y - k)²]

x = √[r² - (y - k)²] + h

The equation of the semicircle upper side of the x-axis will be x = √[r² - (y - k)²] + h.

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what is the image of (7,3)?

use the translation: T<3,-5>

HELP ASAP

Answers

The image of (7, 3) after a translation of T(3, - 5) would be at  (10, - 2).

What are transformations?

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

Given, A point has a coordinate of (7, 3).

We know, Translation shifts coordinate into the x-y coordinate.

Therefore, The image of (7, 3) after a translation of (3, - 5) would be,

(7 + 3, 3 - 5) which is now at (10, - 2).

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Can someone help me out with this? I haven't had any time to catch up on math work lately... It would be greatly appreciated.

Answers

Answer:8

Step-by-step explanation:

A company is designing a new cylindrical package. The volume of the package is 87.92 in.3. The radius is 2 inches. Use the formula V = Bh and 3.14 to approximate π
to answer the questions.

Part A

To the nearest inch, how many inches is the height of the cylindrical package?

Answers

Answer:

Step-by-step explanation:

to answer the questions.

Part A

To the nearest inch, how many inches is the height of the cylindrical package?

Part B

The company decides to keep the radius the same and double the height. Rounded to the nearest hundredth, how many cubic inches is the new volume of the package?

A marketing assistant for a technology firm plans to randomly select 1000 customers to estimate the proportion who are satisfied with the firm's performance. Based on the results of the survey, the assistant will construct a 95% confidence interval for the proportion of all customers who are satisfied. The marketing manager, however, says that the firm can afford to survey only 250 customers. How will this decrease in sample size affect the margin of error and confidence interval? True Statements or False Statements

Answers

False: The decrease in sample size will increase the margin of error and decrease the confidence interval.

What is interval?

Interval is a set of values that are located between two specific points on a line. It can be used to measure the amount of time between two events, the difference between two numbers, or the distance between two points. Intervals can also be used in data analysis to identify patterns or trends. In mathematics, intervals are often represented as a pair of numbers, such as (1, 5).


The decrease in sample size will decrease the margin of error and increase the confidence interval. This is because when the sample size is decreased, the margin of error is increased and the confidence interval is decreased since the precision of the estimate is lower. This means that the range of the confidence interval is wider and the estimates are less precise.

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Kaj observes a marble travel along a horizontal path at a constant rate. The marble travels 1/20 of the length of the path in 2 1/2 seconds. At that rate, how many seconds does it take the object to travel the full length?

Answers

It takes 50 seconds to travel the full length at the constant rate R.

How many seconds does it take the object to travel the full length?

Remember the relation between speed, distance and time:

distance = speed*time

Here we know that at a rate R (or speed S, these are equivalent) it moves (1/20) of the total distance D in (2 + 1/2) seconds, then we can write:

R*(2 + 1/2) = (1/20)*D

Now we only need to isolate D on the right side, to do so we need to multiply both sides by 20.

20*R*(2 + 1/2) = D

The time is:

20*(2 + 1/2) seconds

40 + 10 seconds

50 seconds

It takes 50 seconds to travel the full length,

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WORTH 100 POINTS!!!
OPEN RESPONSE A city parking garage charges $4 to park for up to two hours. After that, an additional charge of $2.50 per hour applies. Write an equation in point-slope form that models the total cost y for parking x hours, where x > 2

Answers

Answer: y = 4 + 2.50(x > 2)

Step-by-step explanation: y is the outcome, the fixed cost is 4, and the variable cost is 2.50 × (x > 2).

is the value of Y+6 greater in4(y+6)=48 or 12(y+6)=48 how do you know?

Answers

To determine which expression has a greater value for Y + 6, we need to isolate Y + 6 on one side of the equation and compare the two expressions.

Starting with 4(y + 6) = 48, we can distribute the 4 to get 4y + 24 = 48. Subtracting 24 from both sides gives us 4y = 24, and then dividing both sides by 4 gives us y = 6. So, for this expression, the value of Y + 6 is 6 + 6 = 12.

Next, for 12(y + 6) = 48, we can distribute the 12 to get 12y + 72 = 48. Subtracting 72 from both sides gives us 12y = -24, and then dividing both sides by 12 gives us y = -2. So, for this expression, the value of Y + 6 is -2 + 6 = 4.

Therefore, the value of Y + 6 is greater in 4(y + 6) = 48 than in 12(y + 6) = 48.

Answer:

The value of y + 6 is greater in the first equation.

----------------------------

Divide both sides of the first equation by 4:

4(y + 6) = 48y + 6 = 12

Divide both sides of the second equation by 12:

12(y + 6) = 48y + 6 = 4

As we see the first expression has greater value since 12 > 4.

What is the y=mx+b formula for these points: (67,67), (65,65), (63,63), (69,69), (57,57), (65,65), (68,66), (48,48), (72,72)?

Answers

The y = mx + b formula for these points is y = 2x - 67.

What is the point-slope form?

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

m represents the slope.x and y are the points.

Based on the information provided, we can logically deduce the following data points on the line:

Points on x-axis = (67, 65).Points on y-axis = (67, 65).

At point (67, 67), a linear equation of this line can be calculated in slope-intercept form (y = mx + b) as follows:

y - 67 = (65 - 67)/(65 - 67)(x - 67)

y - 67 = 2(x - 67)

y = 2x - 134 + 67

y = 2x - 67

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A boat leaves the dock and travels 10 miles due south, then 24 miles due west. How far is the boat from the dock? Boat 24 mi OA. 676 mi OB. 14 mi OC. 34 mi O D. 26 mi Dock 10 mi​

Answers

The distance from the boat to the dock will be 26 miles. Then the correct option is D.

What is a Pythagoras theorem?

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

A boat leaves the dock and travels 10 miles due south, then 24 miles due west.

Then the distance from the boat to the dock is given as,

d² = 10² + 24²

d² = 100 + 576

d² = 676

d = 26 miles

The distance from the boat to the dock will be 26 miles. Then the correct option is D.

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1) There are three consecutive positive integers, such that the largest
is 44 less than twice the smallest. What is the value of the smallest
of these three consecutive integers?

Answers

The three consecutive integers are 46, 47, 48.

What is number?

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

here, we have,

Let the three consecutive integers be represented as x,x+1,x+2

As per the requirement, largest integer is 44 less than twice the smallest.

=> x+ 2 = 2x -44

=> 2x -x = 2+44

=> x= 46

So the three integers are 46, 47, 48

Verification:

Largest integer = 48

Smallest integer = 46

2 * smallest integer - 44

= 2* 46 - 44

= 48

Largest integer is also 48.

So the required condition in the question is satisfied by these three integers.

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what is 148 cm to inches

Answers

Answer:

58.2677

Step-by-step explanation:

148 divide the length value by 2.54

Answer:

1 inch = 2.54 cm

148 / 2.54 = 58.2677165354 inches

Step-by-step explanation:

The coefficient of the term x6 is 6048

Answers

The coefficient  of 6x is 6.

What is Expression?

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.

Given:

We have to write the coefficient of 6x.

As, coefficient is the number which is just before the variable like in 2x 'x' is the variable and '2' is the coefficient.

So, the coefficient 6x is 6.

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What is the sum of the 10th square number
and the 9th square number?

Answers

The sum of the 10th square number and the 9th square number is, 181

What is the squaring of numbers ?

A number is multiplied by itself when it is squared. For instance, when you square the number 3, you get the result 9 (3 x 3). Superscript "2" is the symbol for squaring a number. For instance, 32 = 9 can be used to represent the square of 3.

Numerous crucial mathematical properties and applications of squaring a number can be found in number theory, algebra, and geometry. Squaring, for instance, can be used to solve quadratic equations or to determine the area of a square, the distance between two points, or both. A number's ability to form a perfect square can also be determined by squaring it.

The 10th square number is 10² = 100

and the 9th square number is 9² = 81.

So, the sum of the 10th square number and the 9th square number is:

= 100 + 81

= 181

Therefore, the sum of the 10th square number and the 9th square number is 181.

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How do you prove a contrapositive?

Answers

Answer:

Step-by-step explanation:

A contrapositive is a logical equivalent of the original statement that has the opposite direction and negated conclusion. It can be proven by using the following steps:

Start with the original statement in the form of "If P, then Q".

Negate both the hypothesis (P) and the conclusion (Q) of the original statement.

Conjoin the negated hypothesis and the negated conclusion to form a new statement.

Show that the contrapositive is logically equivalent to the original statement, meaning that it has the same truth value as the original statement for all possible cases.

For example, consider the statement: "If it rains, the roads will be wet." The contrapositive of this statement is "If the roads are not wet, it did not rain." To prove the contrapositive, we can use the following steps:

Start with the original statement "If it rains, the roads will be wet."

Negate both the hypothesis and the conclusion: "It does not rain" and "The roads are not wet".

Conjoin the negated hypothesis and the negated conclusion: "It does not rain and the roads are not wet."

Show that the contrapositive is logically equivalent to the original statement by considering all possible cases:

If it rains, the roads will be wet (as stated in the original statement), and the contrapositive "It does not rain and the roads are not wet" is false.

If it does not rain, the roads will not be wet (as stated in the contrapositive), and the original statement "If it rains, the roads will be wet" is false.

This shows that the contrapositive is logically equivalent to the original statement, and we can use it to draw the same conclusion with a different proof.

An employee put $7,000.00 in a retirement account that offers 5% interest compounded annually. The employee makes no additional
deposits or withdrawals. Which amount is closest to the interest the employees will have earned at the end of 4 years?
A
x B $7,350.00
1x C
$1,400.00
D
$1,508 54
$8,508.54

Answers

Answer:

$1508.54

Step-by-step explanation:

A = p(1 + [tex]\frac{r}{n}[/tex])^nt

A = 7000(1+ .05)^4

A = 7000(1.05)^4

A = 8508.54  This is the total amount (principle and interest

Subtract out the principle

8508.54 - 7000 = 1508.54

For what interval is f(x)=2x+10 positive?

Answers

Answer:

[tex]x>-5[/tex]

Step-by-step explanation:

[tex]2x+10>0 \implies 2x>-10 \implies x>-5[/tex]

What is the cost and area of the mat

Answers

1. The area of the mat is 1 in² and the cost is $0.05

2. The area of the mat is 4 in² and the cost is $0.2

What is area ?

The space enclosed by the boundary of a plane figure is called its area. The area of a figure is the number of unit squares that cover the surface of a closed figure. Area is measured in square units like cm² and m².

The area of a square = l²

1. the area = 1×1 = 1 in²

since $0.05 is the cost per in²

therefore the cost of the mat is $0.05

2. the area = 2× 2 = 4 in²

therefore the cost = 4 × 0.05

= $0.2

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Given three floating-point numbers x, y, and z, output x to the power of z, x to the power of (y to the power of z), the absolute value of y, and the square root of (xy to the power of z). Ex: if the input is: 3. 6 4. 5 2. 0 the output is: 12. 96 1. 841304610218211e11 4. 5 16. 2.

Answers

The absolute value of y, and the square root of (xy to the power of z) is [tex]xy^{z}[/tex]

Floats are a type of number representation that allows us to store very large or very small numbers with a high degree of precision. In computer programming, it is often used to represent real numbers, such as decimals.

In this problem, we are given three float numbers x, y, and z and asked to perform various mathematical operations with them.

Let's start with the first operation: x to the power of z. This means that we want to find x raised to the power of z. This can be written mathematically as xᵃ.

The next operation is x to the power of (y to the power of z). This means that we want to find x raised to the power of y raised to the power of z. This can be written mathematically as x(yᵃ).

The third operation is the absolute value of y. The absolute value of a number is its magnitude, or distance from zero, regardless of its sign. For example, the absolute value of -5 is 5 and the absolute value of 5 is 5. Mathematically, it can be written as |y|.

Finally, we have to find the square root of (xy to the power of a). The square root of a number is the value that, when multiplied by itself, gives the original number.

The square root of 25 is 5 because 5 * 5 = 25. This can be written mathematically as

=> √(xyᵃ).

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Where can the bisectors of the angles of an obtuse triangle intersect?

Answers

Answer: Hello! I'm JK!.....

B. I Only. (inside the triangle)

Step-by-step explanation:

I really hope this helps you.  XoXoGoldenMaknae <3

if u and v are in r n , how are u t v and v t u related? how are uv t and vu t related?

Answers

They are related as u^T transposes of each other. v and v^T u are scalar values that represent the dot product of u and v. uv^T and vu^T are matrices of size n x n that represent the outer product of u and v.

If u and v are vectors in R^n, then:

u^T v and v^T u are related as transposes of each other. Specifically, if

u = [u_1, u_2, ..., u_n]^T

and v = [v_1, v_2, ..., v_n]^T

then:

u^T v = v^T u

= u_1 * v_1 + u_2 * v_2 + ... + u_n * v_n

So, u^T v and v^T u are scalar values that represent the dot product of u and v.

uv^T and vu^T are related as transposes of each other. Specifically, if u = [u_1, u_2, ..., u_n]^T and v = [v_1, v_2, ..., v_n]^T

then:

uv^T = [u_1 * v_1, u_1 * v_2, ..., u_1 * v_n;

u_2 * v_1, u_2 * v_2, ..., u_2 * v_n;

...;

u_n * v_1, u_n * v_2, ..., u_n * v_n]

vu^T = [v_1 * u_1, v_2 * u_1, ..., v_n * u_1;

v_1 * u_2, v_2 * u_2, ..., v_n * u_2;

...;

v_1 * u_n, v_2 * u_n, ..., v_n * u_n]

So, uv^T and vu^T are matrices of size n x n that represent the outer product of u and v.

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Please help! Can’t seem to find anyone who has an explanation for this.

Answers

The steps to explain and show how to evaluate a·b for a = 5 and b = 8 include the following:

Steps                                  a·b___

Substitute 5 for a              5·b

Substitute 8 for b              5·8

Multiply                              40

What is an expression?

In Mathematics, an expression is sometimes referred to as an equation and it can be defined as a mathematical equation which is typically used for illustrating the relationship that exist between two (2) or more variables and numerical quantities (number).

Based on the information provided above, we have the following mathematical expression:

Expression = a·b

Expression = 5 × 8 (Substitute 5 for a and substitute 8 for b)

Expression = 40 (multiply).

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Andrea backyard is 400 square feet.her rectangular swimming pool is 10 feet long and 6 feet wide what is the area Andrea's backyard not including the swimming
pool​

Answers

The area of Andrea’s backyard, not including the swimming pool, is 340 feet²

What is area of Rectangle?

The Area of rectangle is the product of its length to its width.

i.e., Area of rectangle = length x width.

Given:

A rectangular swimming pool has 10 feet long and 6 feet wide.

The area of a rectangle is:

A= L x W

A = 10 x 6

A = 60 ft²

Now, the area of the Andrea’s backyard (A2) is 400 ft²,

So, area of backyard not including the swimming pool

Area = Area of backyard - area of pool

A =400 ft²-60 ft²

A =340 ft²

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The scores from a 20 point algebra quiz are shown.
7, 9, 10, 12, 13, 15, 17, 18, 19, 20

The percentile of a test score can be defined as the percent of test scores less than or equal to that test score

Use this definition to find the percentile of the test score 12

The test score 12 is at the ___th percentile

Answers

The test score of 12 is at the 40th percentile.

What is a percentile?

A Percentile divides a data set into the 100 equal parts. A percentile is a measurement that tells us what percent of the total frequency of a data set was at or below that measure.

From the question,

The test score of 12 is less than or equal to 7, 9, 10, 12, so 4 out of the 10 scores are less than or equal to 12.

So, the percentile of the test score 12 can be calculated as:

Percentile = (number of scores less than or equal to 12) / (total number of scores) x 100

percentile = (4) / (10) x 100

percentile = 40

Hence, the test score of 12 is at the 40th percentile.

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There's a 30% chance of it raining each day in Narnia. On how many days would you expect it to rain during your visit there that lasts 110 days?

Answers

Answer:

Step-by-step explanation:

Since there is a 30% chance of rain on any given day, there is a 70% chance that it will not rain on a given day.

To calculate the expected number of days it will rain during your visit, we can use the formula:

Expected number of rainy days = total number of days * probability of rain

Expected number of rainy days = 110 days * 0.3 = 33 days

Therefore, we can expect it to rain on approximately 33 days during a 110-day visit to Narnia.

This table shows a linear function.

x y
-1 7
0 5
1 3
2 1
3 -1

Based on the information given, how can you verify that the function is linear? Select all that apply. choices shown in image

Answers

Step-by-step explanation:

the 3rd, 5th and 6th answers are correct.

Answer:

3, 5, 6

Step-by-step explanation:

For every change in x of 1, there is a change in y of -2.

For an equation to be linear, equal changes in x must produce equal changes in y.

Since that is true here, it is a linear equation.

Point (0, 5) gives you the y-intercept, b = 5.

From (0, 5) to (1, 3), you can calculate the slope:

slope = m = (3 - 5)/(1 - 0) = -2

The equation is y = -2x + 5

The true statements are: 3, 5, 6

The points represented by the table lie on a line . Find the slope of the line x-1,1,3,5. Y 10, 5, 0,-5 m=

Answers

Answer: The slope of a line can be found using the formula:

m = (y2 - y1) / (x2 - x1)

We can choose any two points from the table to find the slope. Let's use the points (1, 10) and (5, -5):

m = (-5 - 10) / (5 - 1) = -15 / 4 = -3.75

So, the slope of the line represented by the table (x = 1, 3, 5, y = 10, 5, 0, -5) is -3.75.

Step-by-step explanation:

True or False? All of these figures are similar

Answers

Answer:

True

Step-by-step explanation:

They Are all Equal and The Same By the Degrees and Angles and Numbers

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one population of a species has 25 individuals, all with genotype aa; a second population of this species has 40 individuals, all with genotype aa. assume that these populations live far apart but in similar environmental conditions. based on this information, the observed genetic variation most likely resulted from (A) genetic drift. (C) nonrandom mating. (B) gene flow. (D) directional selection. each of the following are methods used to separate mixed costs into their fixed and variable components except: When a manager has control over and is accountable for cost, profit or investments of an organization, it is called ________.a. margin centerb. responsibility centerc. net operating incomed. cost center 3. After Soda asked for Sandy's hand in marriage, what happened to Sandy?(a) She ran away (b) She was sent to live with her aunt(c) She was sent to live with her grandmother (d) She secretly married SodaTwo Rit? the issues priority matrix used in environmental scanning is composed of two axis or dimensions which are labeled Which four statements that are true?y=e" and y = ln x are inverses.are not equivalent.In eenIn(x) = log. (x)ln e = 1In (x) = log10 (x)In e = 10In(e) and en both equal x. What is the synonym of feedback? A weight of mass m is hung from the end of a spring which provides a restoring force equal to k times its extension. The weight is released from rest with the spring unextended. Assume that the system is critically damped. Find its position as a function of time. Given that the final position of equilibrium is 0.4m below the point of release, find how close to the equilibrium position the particle is after 1 second. Find the measure of angle BEquation form Who settled the colony of Carolina?A. Puritans and SeparatistsB. Panters from BarbadosC. People from the NorthD. Runawav African slaves How vaping decrease athletic performance A car turns a corner at a constant speed. Which statement is true:a.The car has zero acceleration due to the constant speed.b.The car has zero velocity due to the constant speed.c.The car has an acceleration due to the changing direction.d.The car has no displacement due the constant speed. The "Three Sisters" refers to what three indigenous female roles: By the end of the 1920's, the stylization of the marketplace was in full swing. it had influenced goods, packages, retail establishments and advertisements. The 1920's witnessed the flowering of style in magazines aimed at:Group of answer choicesO the under privilegedO the mass marketO the wealthyO haute couture The freezing point of a liquid will change when a solute is added. Explain how the addition of salt impacts the boiling point of water. Calculate the freezing point change for a given concentration. When an electrolyte solution (such as NaCl) is added to ice, the ions have ______ with water molecules and thus ______the ability of the water molecules to form a solid ice structure.A) strong intermolecular interactions; increaseB) strong intermolecular interactions; decreaseC) no intermolecular interactions; do not impactD) weak intermolecular interactions; increaseE) weak intermolecular interactions; decrease How to read METAR weather reports The single most essential ingredient in the creation and consumption of film isa. editingb. colorc. lightd. acting Which of the following scenarios or factors are identified as barriers to implementing an EHR system? Select all that apply. Write an equation that represents how calciu chloride works to remove water from an organic solvent Q.7d) q.7 find all below.