What is the solution of x=9y and 3y - 3x =24

Answers

Answer 1

Answer:

Step-by-step explanation:

The solution to the system of equations `x=9y` and `3y - 3x =24` can be found by substituting the value of `x` from the first equation into the second equation. This gives us `3y - 3(9y) = 24`, which simplifies to `-24y = 24`. Solving for `y`, we get `y = -1`. Substituting this value of `y` into the first equation, we get `x = 9(-1) = -9`. So the solution to the system of equations is `(x,y) = (-9,-1)`.

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Related Questions

Fill in the table of value for the equation y = 2x + 1

Answers

Answer:

To fill in the table of values for the equation y = 2x + 1, we can choose different values of x and substitute them into the equation to find the corresponding values of y. For example:

x y

0 1

1 3

2 5

3 7

4 9

To get the value of y, we substitute each value of x into the equation and simplify:

When x = 0:

y = 2(0) + 1 = 1

When x = 1:

y = 2(1) + 1 = 3

When x = 2:

y = 2(2) + 1 = 5

When x = 3:

y = 2(3) + 1 = 7

When x = 4:

y = 2(4) + 1 = 9

Therefore, the table of values for the equation y = 2x + 1 is:

x y

0 1

1 3

2 5

3 7

4 9

What is 7*1893/2? Help please

Answers

Multiply first then divide:

7*1893 = 13251

13251/2 = 6625.5

Answer: 6625.5

Using the present value approach, solve the following:

Tom has $100 in a bank account that pays a guaranteed 5% interest rate each year. How much would Tom have at the end of Year 3?

Answers

Answer:

Step-by-step explanation:

$100x0.5x1=$5

Evaluate the expression when c=-4 and x=3.
C- 3x

Answers

Answer:

-13

Step-by-step explanation:

-4-3(3)

-4-9 = -13

y – 1 = 2(x – 2), solve for y

Answers

Answer:

y = 2x-3

Step-by-step explanation:

y – 1 = 2(x – 2)

Distribute

y-1 =2x-4

Add 1 to each side

y-1+1 = 2x-4+1

y = 2x-3

Neil pays 2.16 in postage to a frien he uses 40 cent stamps and 7cent stamps to 2.16 how many of each stamps did he use

Answers

4 40c ones and 8 7 cent ones

help plsplsplspslpssl help meee

help plsplsplspslpssl help meee

Answers

Answer:

B) 400

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Divide Using Synthetic Division

Divide Using Synthetic Division

Answers

The result of the synthetic division is the final row. In this case, the result is -3, 5, -15, 18.

What is polynomial?

A polynomial is an expression consisting of variable and coefficient and are used to model real world situation it is an equation of degree greater than one where the exponents of the variables can be any non-negative integer for example the polynomial equation x 2 + 3x + 2 represent a parable of windcraft polynomial are used in name variety of field such as mathematics and physics.

The process of synthetic division is used to divide polynomials of the form ax^n + bx^n-1 + ... + c, where a is the coefficient of the highest power of the variable x.

To divide -3 into the polynomial 1 8 9 -18 0, the following steps should be taken:

Step 1: Line up the divisor, -3, to the left of the polynomial, as shown below:

-3 | 1 8 9 -18 0

Step 2: Bring down the first coefficient in the polynomial, which is 1, and place it directly below the -3.

-3 | 1 8 9 -18 0
  -3

Step 3: Multiply the -3 by the first coefficient and place the result in the next row, directly below the 8.

-3 | 1 8 9 -18 0
  -3
 -3

Step 4: Add the result to the 8, and place the new result in the next row.

-3 | 1 8 9 -18 0
  -3
 -3
  5

Step 5: Repeat steps 3 and 4 for each coefficient in the polynomial.

-3 | 1 8 9 -18 0
  -3
 -3
  5
 -15
-15
 18

Step 6: The result of the synthetic division is the final row. In this case, the result is -3, 5, -15, 18.
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Complete questions as follows-
Divide Using Synthetic Division
-3|1 8 9 -18 0

In a recent survey of 36 people, 18 said that their favorite color of car was blue.
What percent of the people surveyed liked blue cars? Explain your answer with every step you took to get to it.

Answers

Answer: The percentage of people surveyed who liked blue cars is 50%.

Step-by-step explanation:

Total number of people partaking in survey= 36

number of people who like blue cars= 18

therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)

hence, percentage of people who liked blue cars= (18/36)*100 %

                                                                                  = 50%  

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Answer:

Percentage of people who like blue-coloured cars is 50%

Number of people who were surveyed=36

Number of people who like blue-colored cars=18

Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100

=(18/36)*100

=50%

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1. You pay $10 to play the following game of chance. There is a bag containing 12 balls, five are red, three are
green and the rest are yellow. You are to draw one ball from the bag. You will win $14 if you draw a red ball and
you will win $12 is you draw a yellow ball. How much do you expect to win or loss if you play this game 100
times?
O a
-2.40
Ob -1.67
Oc -16.67
Od -24.00

Answers

Answer:

Step-by-step explanation:

what is the formula of finding sqare rood?​

Answers

Answer:

Hi there your question was a little confusing

well I'm using a formula this \(X=\sqrt{Y}\)

Hope this helps :)

Step-by-step explanation:

Answer:

\( \huge\green{ \mid{ \underline{ \overline{ \tt ♡ ANSWER ♡ }} \mid}}\)

There's no specific formula to find the square root of a number, however we can find the square root of a number by the following methods:

i) By Prime Factorisation

ii) By Long Division

iii) By Repeated subtraction method

By Prime Factorisation:

Step I: Obtain the given number.

Step II: Reduce the given number into prime factors by successive division.

Step III: Now make pairs of prime factors in such a way that both the factors in each pair are equal.

Step IV: Take one factor from each pair and find the product of these factors.

Step V: The product obtained by multiplying the factors is the required square root.

✏ Long Division:

Step 1: Firstly, we place a bar on every pair of digits starting from the unit digit. If the number of digits in it is odd, we put a bar on the single-digit too.

Step 2: Now we find the largest number whose square is less than or equal to the 1st number.

Step 3: Now we bring down the next bar number.

Step 4: For new divisor, we add the divisor & quotient.

Step 5: Number taken is the product of a new divisor and this digit is equal to or less than the new dividend.

✏ Repeated subtraction method:

In this method, the given number is subtracted by 1, 3, 5, 7,… at every step till you get zero at the end. The number of steps in the solution is the required square root.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

PLEASE HELP! ITS NOT HARD I JUST CANT COPY PASTE IT

PLEASE HELP! ITS NOT HARD I JUST CANT COPY PASTE IT

Answers

The inequality that can be used to find the number of sales she needs to make is D. 100 + 15x ≥ 500.

How to find the inequality ?

In this scenario, Aaliyah wants to earn at least $500. The fixed amount she earns is $100, and she earns $15 for each sale.

Therefore, the total amount she earns can be represented as 100 + 15x, where x is the number of sales she makes. To ensure that she earns at least $500, we can set up the inequality 100 + 15 x ≥ 500.

With this inequality, we can see that the sum of the $ 100 base salary and the $ 15 per sale would add up to a sum that is either $ 500 or above.

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Compare these rational numbers.


− 7/8 ? − 5/6


Type the correct sign (<, >, or =).

Answers

Answer: To compare −7/8 and −5/6, we can convert them to a common denominator.

Multiplying the denominator and numerator of −7/8 by 6, we get:

−7/8 = −(7/8) × (6/6) = −42/48

Multiplying the denominator and numerator of −5/6 by 8, we get:

−5/6 = −(5/6) × (8/8) = −40/48

Now we can compare the two rational numbers:

−42/48 is less than −40/48, since negative numbers get larger as their value gets closer to zero.

Therefore, we have:

−7/8 < −5/6.

The correct sign to compare the two rational numbers is "<".

Step-by-step explanation:

7.) According to the quantity equation, changes in the money supply will lead directly to
changes in the price level if velocity and real GDP are unaffected by the change in the
money supply. Will velocity change over time? What factors might lead to changes in
velocity? Are those changes related to changes in the money supply?

Answers

According to the quantity theory of money, changes in the money supply will lead directly to changes in the price level if velocity and real GDP are unaffected by the change in the money supply.Velocity can change over time, and changes in velocity may be caused by various factors.

For example, changes in velocity can be caused by shifts in payment practices, changes in the use of credit, changes in the availability of bank deposits or cash, or shifts in demand patterns.Changes in velocity may be related to changes in the money supply.

For example, if the money supply increases, the demand for money may increase, causing the velocity of money to decrease. Conversely, if the money supply decreases, the demand for money may decrease, causing the velocity of money to increase.

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100 POINTS PLEASE HELPPPPP

Answers

What’s the question? I don’t see it :(
No image attached. No question being asked

True or False. Given two parallel lines cut by a transversal, their
corresponding angles are supplementary.

True or
False?

Answers

Answer:

False

Step-by-step explanation:

50 Points! Multiple choice geometry question. Photo attached. Thank you!

50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answers

The coordinates of vertex D in the parallelogram are (-7, -10).

We have,

To find the coordinates of vertex D of the parallelogram, we need to use the properties of a parallelogram.

One of these properties states that opposite sides of a parallelogram are parallel and have equal lengths.

Given that A = (8, 2), B = (6, -4), and C = (-5, -4), we can find the coordinates of D as follows:

Find the vector representing one of the sides of the parallelogram.

We can use the vector AB.

Vector AB = (x-coordinate of B - x-coordinate of A, y-coordinate of B - y-coordinate of A)

= (6 - 8, -4 - 2)

= (-2, -6)

Add this vector to point C to find the coordinates of D.

Coordinates of D = (x-coordinate of C + x-coordinate of AB, y-coordinate of C + y-coordinate of AB)

= (-5 - 2, -4 - 6)

= (-7, -10)

Therefore,

The coordinates of vertex D are (-7, -10).

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Find the slope of the line through points (3,3)
and (-2,-7) write equation in slope intercept
form.

Answers

Answer: 10/5 or 2

Step-by-step explanation: Using the equation y2-y1/x2-x1 you would substitute the numbers in, having it be 3-(-7)/3-(-2). Once you have that you just subtract/add the numbers and whatever fraction you get is your slope.

Answer:

y=2x-3

Step-by-step explanation:

gradient = y2-y1/x2-x1

-7-3/-2-3

-10/-5=2

y=-3

so the equation is y=2x-3

HELP ME
A. baseball field
B. Community garden
C. Movie theater
D. School

HELP ME A. baseball field B. Community garden C. Movie theater D. School

Answers

Answer:

A. baseball field

Step-by-step explanation:

baseball field i believe

What is the meaning of "The usual notation makes this identification transparent by writing every sequence (x1, x2, ..., xn) as a product or word x1x2· · · xn in the alphabet X"?

What is the meaning of "The usual notation makes this identification transparent by writing every sequence

Answers

The statement refers to the way that symbols are represented in sequences, a common practice in formal language theory, by employing a notation that makes symbols a part of the sequence.

How is sequence notation and language related?

In formal language theory, a language is often defined as a set of strings over an alphabet. By representing any alphabetic sequence of symbols as a single string using the notation outlined in the statement, we are able to recognise the language that comprises that sequence as a collection of strings. A subset of the language having all possible strings over the alphabet (a, b, and c) is the set of strings abc, which may be used to represent the language including the sequence (a, b, and c). So, this notation offers an easy approach to discuss languages and the sequences that make up such languages.

Hence, the statement relates the symbols and sequences.

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The finishing times for a race happen to be normally distributed with a mean of 10.2 seconds and a standard deviation of 1.4 seconds. Find the cut off score for the top 10%. Interpret this result.

Answers

Using the normal distribution, it is found that the cut off score for the top 10% is of 8.4 seconds. It means that a person with a time of 8.4 seconds or lower is in the faster 10% of runners.

In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

Mean of 10.2 seconds, hence \(\mu = 10.2\)Standard deviation of 1.4 seconds, hence \(\sigma = 1.4\).

The lower the times, the faster the runners are, hence, the cut off score for the top 10% is the 10th percentile, which is X when Z has a p-value of 0.1, so X when Z = -1.28.

\(Z = \frac{X - \mu}{\sigma}\)

\(-1.28 = \frac{X - 10.2}{1.4}\)

\(X - 10.2 = -1.28(1.4)\)

\(X = 8.4\)

The cut off score for the top 10% is of 8.4 seconds. It means that a person with a time of 8.4 seconds or lower is in the faster 10% of runners.

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A _____ curve shows larger increases in performance during early practice trails than in later trials.A. LinearB. Negatively acceleratingC. OgiveD. Positively accelerating

Answers

According to a negatively accelerated curve, early practice trials exhibit greater increases in performance than subsequent trials. Option B will be correct.

Negative acceleration occurs when an activity or function's rate of growth slows down as a result of practice or training. For instance, subsequent practice repetitions might result in decreased learning or performance increases.

The negatively accelerated curve indicates that performance on psychometric exams increases over time but at a diminishing rate. In other words, the pattern typically demonstrates significant improvement after early practice, followed by a decline in improvement with more exercise.

Therefore, the blank can be filled with negatively accelerated and the correct option is option B.

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Twice the quantity of 8 more than a number

Question 1 options:

2(x+8)
2x+8
8x+2
2x-8

Answers

Answer:

B

Step-by-step explanation:

2x(times)+(more than)8

Answer: B.

Step-by-step explanation:

To make marbled paper, Shannon filled a rectangular 279/10cm by 178/10cm dish with water. Then they gently swirled paint on top of the water. let a represent the area of the dish.

Select 1 multiplication and 1 division equation to represent the relationship.

choose 2 answers

A) 178/10 x a = 279/10

B) 178/10 x 279/10 = a

C) 279/10 ÷ 178/10 = a

D) a ÷ 178/10 = 279/10

Answers

The area of the dish, a, can be represented by the product of its length and width. Thus, we can write:

a = (279/10) cm x (178/10) cm

Simplifying this expression, we get:

a = 4953/100 cm^2

So, the correct equations are:

B) 178/10 x 279/10 = a

and

D) a ÷ 178/10 = 279/10

Which expression is equivalent to (m8n4)4?

Answers

Answer:

\(\frac{m2}{n}\)

Step-by-step explanation:

Answer:

Step-by-step expla The answer is M2N

in how many ways 5 passengers can sit in a compartment having 16 vacant seats​

Answers

9514 1404 393

Answer:

  524,160

Step-by-step explanation:

Assuming order matters, it is the number of permutations of 16 things taken 5 at a time:

  16P5 = 16!/(16-5)! = 16·15·14·13·12 = 524,160

_____

The first passenger can pick any of 16 seats; the second can pick any of 15 remaining seats; and so on until all 5 passengers have chosen a seat. The number of possible different arrangements is the number shown above.

here is my algebra 13 homework screenshot, can somebody help me QUICKK PLS

here is my algebra 13 homework screenshot, can somebody help me QUICKK PLS

Answers

Function graph that has y- intercept of 3 is g(x) = 3\((\frac{1}{4}) ^{x}\).

y- intercept will be 3 when we will put value of x = 0 and y will be 3 that graph will have y intercept 3

A) h(x) = 5\((2)^{x}\)

when x = 0

Any number with zero power is always 1

h(x) = 5

B) h(x) = 5\((0.5)^{x}\) + 0.5

when x = 0

h(x) = 5 + 0.5

h(x) = 5.5

C) g(x) = 3\((\frac{1}{4}) ^{x}\)

when x = 0

g(x) = 3

Here we get y intercept as 3.

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The height of cylinder B is twice the height of cylinder A the total surface area of cylinder A is 180 Calculate the total surface area of cylinder B

Answers

Main Answer: The total surface area of cylinder B is approximately 476.7  square units.

Supporting Question and Answer:

How is the surface area of a cylinder calculated?

The surface area of a cylinder is the sum of the areas of its curved surface and two circular bases. It can be calculated using the formula:

A = 2πrh + 2π\(r^{2}\)

where "r" is the radius of the circular base, "h" is the height of the cylinder, and π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter, approximately equal to 3.14159.

The first term, 2πrh, represents the area of the curved surface of the cylinder, while the second term, 2π\(r^{2}\), represents the combined area of the top and bottom circular bases.

Body of the Solution: Let the height and radius of cylinder A be "h" and "r" respectively. Then, the height and radius of cylinder B are "2h" and "R" respectively, since cylinder B has twice the height of cylinder A but the same radius.

The total surface area of a cylinder is given by the formula:

Area = 2πrh + 2π\(r^{2}\)

For cylinder A, we know that the surface area is 180, so we can substitute the values and solve for "r" as follows:

180 = 2πrh + 2π\(r^{2}\)

90 = πrh + π\(r^{2}\)

We can rearrange this equation to solve for r:

r² + rh - 90/π=0

Using the quAdratic formula,we get:

r = (-h ± √((h)² + 4(90/π)))/2

r = -h/2 ± √(h² + 4(90/π))/2

Now we have an expression for r in terms of h . We can use this expression to find the radius of cylinder B, since we know that cylinder B has twice the height of cylinder A.

R = 2r= -h ± √(h² + 4(90/π))

We can use this expression to find the surface area of cylinder B:

Surface area of cylinder B = 2πR² + 2πR(2h)

Surface area of cylinder B= 2π( -h ± √(h² + 4(90/π)))² + 4πh( -h± √(h² + 4(90/π)))

We can use the value we found for 2h using the quadratic formula in the expression to get:

Surface area of cylinder B = 476.7 square units (rounded to one decimal place)

Therefore, the total surface area of cylinder B is approximately 476.7  square units.

Final Answer: Therefore, the total surface area of cylinder B is approximately 476.7  square units.

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A car is originally worth $43,500. It takes 12 years for this car to totally depreciate a. Write a straight line depreciation equation that models the situation. b.how long will it take for this car to be worth 25% of its value? C.how much will the car be worth in 10 years?

Answers

Answer:

A: The straight-line depreciation equation is a linear equation of the form:

Value = initial value - (rate of depreciation) x (age)

Where the "rate of depreciation" is the amount by which the value decreases each year. In this case, the initial value is $43,500, and the car depreciates over a period of 12 years. So, you can calculate the rate of depreciation as:

Rate of depreciation = (initial value - final value) / (age)

Where the final value is zero (since the car is totally depreciated after 12 years). Therefore, you have:

Rate of depreciation = ($43,500 - $0) / 12 years = $3,625 per year

Substituting this into the formula, you get:

Value = $43,500 - $3,625 x (age)

Where "value" is the current value of the car after "age" years.

B: You want to find how long it will take for the car to be worth 25% of its value. Let's call this time "t". Then you have:

0.25($43,500) = $10,875 = $43,500 - $3,625t

Solving for "t", you get:

$3,625t = $43,500 - $10,875 = $32,625

t = $32,625 / $3,625 = 9 years

Therefore, it will take 9 years for the car to be worth 25% of its value.

C: You want to find how much the car will be worth in 10 years. Substituting "age = 10" into the equation derived in part A, you get:

Value = $43,500 - $3,625 x 10 = $7,750

Therefore, the car will be worth $7,750 in 10 years.

is 0.27 greater than 0.3 ?​

Answers

Answer:

No

Step-by-step explanation:

here's a little trick, add a zero to make both numbers the same.

it's doesn't change the value.

so .27 and .3 become .27 and .30

and .30 is greater

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