What is the proportional relationship?

6
3.75
20
1/5
3
1/8
1.12
5/2
5
1/2
8
2

Answer:

y=2/5x-7

Step-by-step explanation:

2x−5y=35

Step 1: Add -2x to both sides.

2x−5y+−2x=35+−2x

−5y=−2x+35

Step 2: Divide both sides by -5.

-5y/5=-2x+35/-5

y=2/5x-7

To solve the given inequality, the solution is: x < 5. So, the correct answer is option C.

Here,  we can solve the inequality x + 2 > 3x - 8 as follows :

We get 2 on both sides of an inequality by the process of subtraction

or, x + 2 - 2 > 3x - 8 -2

or,  x > 3x -10

We get  10 on both sides of an inequality by the process of addition

or, x +10 > 3x -10 + 10

or, x + 10 > 3x

We get x on both sides of an inequality by the process of subtraction

or, x + 10 -x > 3x -x

or, 10 > 2x

We get 2 into both sides of an inequality by the process of division

or, 5 > x

Therefore, x < 5.

To solve the given inequality, the solution is: x < 5. So, the correct answer is option C.

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Since 50 is an even number, we know that x will be even if y is even (50 times an even number is still even) and odd if y is odd (50 times an odd number is odd). Therefore, the only answer choice that must be odd is x+y.

Given that x and y are integers and x = 50y + 69, let's determine which of the following expressions must be odd.

1. xy: Since x is odd (50y + 69), when it is multiplied by any integer y, the result will always be odd. Therefore, xy must be odd.

2. x + y: If x is odd, adding it to an even integer (y) would result in an odd number. However, adding it to an odd integer (y) would result in an even number. Therefore, x + y does not necessarily have to be odd. xy: We can't determine if this is odd or even without knowing the values of x and y.
- x+y: This expression is always odd. To see why, consider two cases:

If x and y are both odd, then x+y is even+odd=odd.
If x and y are both even, then x+y is even+even=even.
If one of x and y is odd and the other is even, then x + y is odd + even =odd.

3. x+2y: We can't determine if this is odd or even without knowing the values of x and y.
3x-1: This expression will be odd if x is odd (3 times an odd number is odd) and even if x is even (3 times an even number is even).
3x+1: This expression will be odd if x is even (3 times an even number plus 1 is odd) and even if x is odd (3 times an odd number plus 1 is even).
x + 2y: Since x is odd and 2y is always even, their sum must be odd. Therefore, x + 2 y must be odd.

4. 3x - 1: This expression is odd, since 3x will always be odd (as x is odd) and subtracting 1 from an odd number results in an even number. Therefore, 3x - 1 does not necessarily have to be odd.

5. 3x + 1: This expression is odd, since 3x will always be odd (as x is odd) and adding 1 to an odd number results in an even number. Therefore, 3x + 1 must be odd.

In conclusion, the expressions that must be odd are xy, x + 2y, and 3x + 1.

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Answer:

It is not simplified.

Step-by-step explanation:

It is not simplified because you can add like terms. 12g+7g = 19g (19g is fully simplified)

Answer:

x= 8/5

Step-by-step explanation:

add 2 to both sides

5x=8

divide both sides from 5

x=8/5

The probability that a homebuilder takes 200 days or less to complete a house is approximately 0.8238, or 82.38%.

Explanation :

To answer this question, we can use the concept of the z-score. The z-score tells us how many standard deviations a data point is from the mean.

Let's calculate the z-score for a completion time of 200 days:
z = (x - μ) / σ
where x is the completion time, μ is the mean, and σ is the standard deviation.
Plugging in the values, we get:
z = (200 - 176.7) / 24.8 = 0.93

To find the probability associated with this z-score, we can use a z-table or a calculator. In this case, the probability is 0.8238.

This means that there is an 82.38% chance that the completion time of a house will be 200 days or less, given that the completion time follows a normal distribution with a mean of 176.7 days and a standard deviation of 24.8 days.

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Answer:

Step-by-step explanation:

Answer:

1.a: 6x = y

1.b: 7 packs

Step-by-step explanation:

1.a: there are 6 cups per can so if you multiply it for each can, you get the cups.

1.b: there are 16 cups per gallon. Packs of 4 cans so in total, there are 24 cups in total. So there are 1.5 gallons per pack. 1.5x6 = 90 so that's no enough. 1.5x7 = 10.5. That's more than enough but she can't split the pack so she needs to buy 7 packs.

Answer:

They speak more with an average of 5,000 words a day.

Step-by-step explanation:

35,000 ÷ 7 = 5,000

Answer:

B

Step-by-step explanation:

Following the number of goals:

We have:three 0's

Two 1's

One 2

Four 3's

One 4

Hence, B is the collect option

Answer:

saw this question on egde its b

Answer:

ur answer is in the picture i uploaded

Step-by-step explanation:

let's move like the crab, backwards, let's get hmmm EF first

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{17}\\ a=\stackrel{adjacent}{10}\\ o=\stackrel{opposite}{EF} \end{cases} \\\\\\ EF=\sqrt{ 17^2 - 10^2}\implies EF=\sqrt{ 189 }\implies EF\approx 13.7 \\\\[-0.35em] ~\dotfill\)

\(\sin( F )=\cfrac{\stackrel{opposite}{10}}{\underset{hypotenuse}{17}} \implies \sin^{-1}(~~\sin( F )~~) =\sin^{-1}\left( \cfrac{10}{17} \right) \\\\\\ F =\sin^{-1}\left( \cfrac{10}{17} \right)\implies F \approx 36^o \\\\[-0.35em] ~\dotfill\\\\ \cos(D )=\cfrac{\stackrel{adjacent}{10}}{\underset{hypotenuse}{17}} \implies \cos^{-1}(~~\cos( D )~~) =\cos^{-1}\left( \cfrac{10}{17} \right) \\\\\\ D =\cos^{-1}\left( \cfrac{10}{17} \right)\implies D \approx 54^o\)

Make sure your calculator is in Degree mode.

The total number of seeds that Josiah would plant would be = nR×S

To determine the total number of seeds that Josiah will plant will be to add the seeds in the total number of rooms he planted.

Let each row be represented as = nR

Where n represents the number of rows planted by him.

Let the seed be represented as = S

The total number of seeds he planted = nR×S

Therefore, the total number of seeds that was planted Josiah would be = nR×S.

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Answer:

341

Step-by-step explanation:

First, divide 51 by 3 to get 17.

So the problem should be 315-17+43.

Then, do 315-17 and get 298.

Lastly, add 43 to get the answer of 341.

Answer:(

2,−6).(9,9)

(,8).(7,−52)

(12,−5)−(5,6)

Step-by-step explanation:

So lets talk about a site that will help you. Go to m4thway

Answer:

s ≤ 15

Step-by-step explanation:

1/15(60 - s) ≥ 3

4 x 15 - s/15 x 15 ≥ 3 x 15

60 - s - 60 ≥ 45 - 60

-s/-1 ≥ -15/-1

s ≤ 15

Answer:

Ben's savings (S) can be related to the number of hours he babysits (h) by the equation:

S = r * h

where r is the rate of pay per hour that Ben receives for babysitting. This equation shows that Ben's savings increase linearly with the number of hours he babysits, as long as the rate of pay remains constant.

The probability that a bridge hand will have exactly 2 queens is 0.45%.

To find the probability of getting a bridge hand with exactly 2 queens, we need to use the binomial probability formula. The formula is:

P(exactly k successes) = (n choose k) * p^k * (1-p)^(n-k)

Where:

n is the total number of trials

k is the number of successes in the trials

p is the probability of success in a single trial

In this case, the total number of trials is 13 (since a bridge hand consists of 13 cards), and the number of successes we want is 2 (since we want exactly 2 queens). The probability of success in a single trial is the probability of drawing a queen, which is 4/52 (since there are 4 queens in a deck of 52 cards).

Plugging these values into the formula, we get:

P(exactly 2 queens) = (13 choose 2) * (4/52)² * (48/52)¹¹

= (78) * (1/169) * (4/13)¹¹

= (4/169) * (4/13)¹¹

This simplifies to:

P(exactly 2 queens) = (4/169) * (4/13)¹¹

= (4/169) * (4/169)¹¹

= (4/169)¹²

The final probability is approximately 0.0045 or 0.45%. This means that the probability of getting a bridge hand with exactly 2 queens is quite low.

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Answer:

$165

Step-by-step explanation:

Rachel works for a clothing store. She is paid $150 every week plus a 10% commission on any clothes that she sells.

Let's find the total amount she is being paid per week

Amount paid originally = $150

Percentage Commission = 10%

Commission = 10% of 150

Commission = 0.1×150

Commission = $15

Total amount paid = originally amount + Commission

Total amount paid = $150+$15

Total amount paid =$165

Hence the amount paid to Rachel okus Commission is $165

Answer:

  -1640

Step-by-step explanation:

You want the sum of the geometric series ...

  1 -3 + ... -2187

We can write out this series with first term 1 and common ratio -3:

  1 -3 +9 -27 +81 -243 +729 -2187

And, we can add it up:

     1 -3 +9 -27 +81 -243 +729 -2187 = -1640

The sum of the series is -1640.

The formula for the general term of the series is ...

  an = a1(r^(n-1))

We can use this to find the number (n) of the last term:

  -2187 = 1((-3)^(n-1))

If we consider the magnitudes of the terms, the value of n is the same:

  2187 = 1(3^(n-1))

  3^7 = 3^(n -1)

  7 = n -1

  8 = n . . . . . . . the same number we get by counting terms in the series

And the formula for the sum is ...

  Sn = a1(r^n -1)/(r -1)

  S8 = 1((-3)^8 -1)/(-3-1) = (6561 -1)/-4 = -1640

The sum of the series is -1640.

__

Additional comment

As we did above, we would ordinarily find the value of n using logarithms. The logs of negative numbers are complex.

In order to get a real ratio of ln(-2187) to ln(-3), we need to adjust the imaginary part of ln(-2187) by multiples of 2π so the result has the same angle as ln(-3). What we find is ...

  (ln(-2187) +6πi)/(ln(-3)) = 7 . . . . a positive integer

Effectively, we can find n by considering only the real parts of the logs, which is basically the same as using term magnitudes.

Answer: The difference between sum of first 20032003 even numbers and sum of first 20032003 odd numbers is “-20032003”.

Step-by-step explanation:

The sum of first 20032003 even numbers:

\(Summation E=E_{1}+E_{2}+E_{3}+ . . . . . +E_{20032003}\)

The sum of first 20032003 odd numbers:

\(Summation O=O_{1}+O_{2}+O_{3}+ . . . . . +O_{20032003}\)

Difference between the sum of first 20032003 even numbers and the sum of first 20032003 odd numbers:

\(Difference=Summation E - Summation O=(E_{1}+E_{2}+E_{3}+ . . . . . . . +E_{20032003})-(O_{1}+O_{2}+O_{3}+ . . . . . . . +O_{20032003})\)

\(Difference=(E_{1}-O_{1})+(E_{2}-O_{2})+(E_{3}-O_{3})+ . . . . . . . +(E_{20032003}-O_{20032003})\)

Even numbers start as 0, 2, 4, 6…. While odd numbers start as 1, 3, 5, 7…..

(assuming that we are taking non-negative even/odd numbers into account only)

As we know, every nth even number is one behind their respective odd number (i.e. 0 lags 1, 2 lags 3, 4 lags 5 and so on)

Thus, our equation of difference becomes,

\(Difference=(-1)_{1}+(-1)_{2}+(-1)_{3}+ . . . . . . . +(-1)_{20032003} =(-1)*20032003=-20032003\)

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Answer:

8y²

Step-by-step explanation:

8y³ = 8y² (y)

64y² = 8y² (8)

The estimated population mean weight of squash is 5. This means that on average, the squash in the population weigh 5 pounds.

The population mean weight of squash can be estimated using the sampling distribution of squash. The sampling distribution is a probability distribution that shows the possible values of the sample mean and the corresponding probabilities. In this case, the sampling distribution is given as follows:

Sample mean weight of squashProbability30.140.250.460.270.1

To estimate the population mean weight of squash, we can calculate the expected value of the sampling distribution. The expected value is the weighted average of the possible values of the sample mean, where the weights are the corresponding probabilities. The formula for the expected value is:

E(X) = ∑xP(X=x)

Where X is the sample mean weight of squash, x is a possible value of X, and P(X=x) is the probability of X being equal to x.

Using the formula, we can calculate the expected value of the sampling distribution as follows:

E(X) = (3)(0.1) + (4)(0.2) + (5)(0.4) + (6)(0.2) + (7)(0.1) = 0.3 + 0.8 + 2 + 1.2 + 0.7 = 5

Therefore, the estimated population mean weight of squash is 5. This means that on average, the squash in the population weigh 5 pounds.

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The number of cans each guest must bring to reach the goal must be greater than or equal to 5 by inequality.

What is inequality in math?

Let

x -----> the number of cans each guest must bring to meet the goal

we know that

The number of guests multiplied by the the number of cans each guest must bring to meet the goal plus the currently cans must be greater than or equal to 1,000 cans

so

The inequality that represent this problem is

565 + 87x ≥ 1000

Solve for x

565 + 87x ≥ 1000

Subtract 565 both sides

87x ≥ 1000 - 565

87 ≥ 435

Divide by 87 both sides

x ≥ 435/87

x≥ 5

therefore, The number of cans each guest must bring to reach the goal must be greater than or equal to 5.

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Answer:

New dimension: 16.8 feet by 19.6 feet.

Step-by-step explanation:

Given that,

The original dimensions of the room were 144 inches by 168 inches. Rick renovated his home. He made his bedroom 40% larger than its original size.

40% of 144 = 57.6

New length is 144 + 57.6 = 201.6 inches

40 % of 168 = 67.2

New breadth is 168 + 67.2 = 235.2 inches

Since, 1 foot = 12 inch

201.6 inches = 16.8 feet

235.2 inches = 19.6 feet

The new dimension of the room is 16.8 feet by 19.6 feet.

Answer:

x²-4x+24 is not factorable with rational numbers.

The factored form of x² - 4x + 24 using the splitting method is (x - 2)(x - 12).

To factor the quadratic expression x² - 14x + 24, we are looking for two binomials in the form (x + a)(x + b).

Here, the coefficient of x² is 1, so a and b must multiply to 1:

a x b = 1.

and, the constant term in the expression is 24,

so a and b must add up to -4: a + b = -4.

Then, x² -14x + 24

= x² - 2x - 12x + 24

= (x² - 2x) - (12x - 24)

= x(x - 2) - 12(x - 2)

= (x - 2)(x - 12)

Thus, factored form of x² - 4x + 24 using the splitting method is (x - 2)(x - 12).

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Answer:

3CuCl2 + 2Ni → 3Cu + 2NiCl3

Answer:

Its B

Step-by-step explanation:

My classmate told me and I got it right

Answer: no solution

Step-by-step explanation:

took the test

Answer:

25+2/3

Step-by-step explanation:

578-3x=501

-3x=501-578

-3x=-77

x=-77/-3

x=25+2/3

The value of y which is calculated from the perimeter given = 7

Perimeter is defined as the sum total of all the sides of an object. Therefore the perimeter of a square is the sum of the four sides = a+ b+ c +d

The perimeter of the square= 132 units.

The given sides = 2(4y + 3) and ,2(5y)

That is,

132 = 2(4y + 3) + 2(5y)

132= 8y + 6 + 10y

132 = 18y + 6

Make 18y the subject of formula;

18y = 132-6

18y = 126

y = 126/18

y= 7

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