If the Constant of Proportionality between X and Y is 2.5, which equation represents their relationship?


A) Y = 2.5X

B) 2Y = 5X

C) 5Y = 2X

D) Y = X ÷ 2.5

Answer:

C .10

Step-by-step explanation:

The student council sold $273$ t-shirts were sold at $\$10$ per shirt.

Let $x$ be the number of shirts sold at $\$10$

Let $y$ be the number of shirts sold at $\$12$

$x+y=661$

$10x+12y=3780$

$x=y+101$

$10y+12y=3780$

$22y=3780$

$y=172$

$x=172+101$

$x=273$

Hence $273$ t-shirts were sold at $\$10$ per shirt.

If they sold $661$ t-shirts in total, and they made a mistake when recording the amount of t-shirts sold at each price, then they actually sold more t-shirts at $\$10$ than they thought. This means that they thought they sold fewer t-shirts at $\$10$ than they actually did.

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Let x represent the number of winter olympics held in North America.

Let y represent the number of winter olympics held in Europe.

Let z represent the number of winter olympics held in North Asia.

The Winter Olympics have been held a total of 21 times on the continents of North America, Europe, and Asia.

This means that

x + y + z = 21

The number of European sites is 5 more than the total number of sites in North America and Asia.

This means that

y = x + z + 5

There are 4 more sites in North American than in Asia.

This means that

x = z + 4

These are the equations. We would solve simultaneously

The olympics was held 2 times in North America, 13 times in Europe and 6 times in Asia

The height of the cube brick is 7 units and the volume is equal to 343 unit³

The volume of a cube is defined as the total number of cubic units occupied by the cube. The formula is given as V = a³ where "a" is the length of edge or sides.

The length of an edge for the cube brick is 7 units which implies the height represented by h is also 7 units and the volume is calculated as follows:

volume of cube brick = 7 units × 7 units × 7 units

volume of cube brick = 343 units ³

Therefore, the height of the cube brick is 7 units and the volume is equal to 343 unit³

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Molly gave away 90 trading cards, which is option (c).

Let's start by figuring out how many trading cards Marcus gave away. We know that Molly gave away n trading cards, so she has 250 - n cards left. Marcus gave away three times as many cards as Molly did, so he gave away 3n cards. That means he has 430 - 3n cards left.

We also know that Molly and Marcus have the same number of trading cards left, so:

250 - n = 430 - 3n

Simplifying and solving for n, we get:

2n = 180

n = 90

Therefore, Molly gave away 90 trading cards, which is option (c).

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The area of the tile shown is C) 42.5 cm².

To calculate the area of the tile shown, we need to divide it into two triangles and a rectangle. The rectangle's area is the product of the length and width, which is 3 cm x 6 cm = 18 cm².

To find the area of the triangles, we need to use the formula for the area of a triangle, which is 1/2(base x height). The base and height of the left triangle are 5 cm and 6 cm, respectively. So, the area of the left triangle is 1/2(5 cm x 6 cm) = 15 cm².

The base and height of the right triangle are 3 cm and 5 cm, respectively. So, the area of the right triangle is 1/2(3 cm x 5 cm) = 7.5 cm².

Adding the areas of the rectangle and the two triangles, we get 18 cm² + 15 cm² + 7.5 cm² = 40.5 cm². Therefore, the area of the tile shown is 40.5 cm², which is closest to the option C, 42.5 cm².

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Answer:

A.) 93

B.) 77

C.) 369

Step-by-step explanation:

Answer:

Its the same one that I answered lol

Step-by-step explanation:

Answer:

Down to the right.

Like down hill

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

in the equation y = ax, a would be the slope

if the slope is negative, then the line goes from down to the right

I did an example on desmos to show you

For the fifth place, there are 7 participants left. Therefore, the total number of ways to award the first through fifth place is calculated as 11 × 10 × 9 × 8 × 7 = 55,440.

In a contest with 11 participants, there are different ways to award the first through fifth places. The total number of ways can be calculated using permutations, which is the number of arrangements of objects in a specific order. The number of ways to award the first place is 11, as any participant can win.

Once the first place is awarded, there are 10 remaining participants for the second place. Similarly, for the third place, there are 9 participants left, and for the fourth place, there are 8 participants remaining. Finally, for the fifth place, there are 7 participants left. Therefore, the total number of ways to award the first through fifth place is calculated as 11 × 10 × 9 × 8 × 7 = 55,440.

To determine the number of different ways to award the first through fifth place in a contest with 11 participants, we use the concept of permutations. The first place can be awarded to any of the 11 participants, so there are 11 possibilities for the first place. After the first place is awarded, there are 10 participants remaining for the second place.

Therefore, there are 10 possibilities for the second place. Similarly, for the third place, there are 9 participants left, giving us 9 possibilities. For the fourth place, there are 8 participants remaining, resulting in 8 possibilities.

Finally, for the fifth place, there are 7 participants left, giving us 7 possibilities. To calculate the total number of ways, we multiply all the possibilities together: 11 × 10 × 9 × 8 × 7 = 55,440. Thus, there are 55,440 different ways to award the first through fifth place in this contest.

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Answer:

two hundred ten million, sixty four thousand and fifty

Therefore, we can conclude that the state of Alabama sold 1,110,000 packs of playing cards, since the tax of 5 cents per pack generated a total revenue of $55500

Based on the given information, we can calculate the total number of packs of cards sold in the state of Alabama.

To find the number of packs of cards sold, we need to use the formula:

Revenue = Tax per pack x Number of packs sold

We are given that the tax per pack is 5 cents, and the revenue generated is $55500. So, we can rewrite the formula as:

$55500 = 0.05 x Number of packs sold

To solve for the number of packs sold, we can divide both sides of the equation by 0.05:

Number of packs sold = $55500 / 0.05
Number of packs sold = 1,110,000

Therefore, the state of Alabama sold 1,110,000 packs of playing cards, since the tax of 5 cents per pack generated a total revenue of $55500.


The given question asks us to find the number of packs of playing cards sold in the state of Alabama, assuming that the state placed a tax of 5 cents per pack and generated a revenue of $55500. To solve this problem, we need to use the formula that relates the tax per pack, the number of packs sold, and the revenue generated.

The formula for calculating the revenue generated from a tax on playing cards is:

Revenue = Tax per pack x Number of packs sold

In this case, we are given that the tax per pack is 5 cents, and the revenue generated is $55500. We need to find the number of packs sold.

To do this, we can rearrange the formula to solve for the number of packs sold:

Number of packs sold = Revenue / Tax per pack

Substituting the given values, we get:

Number of packs sold = $55500 / 0.05
Number of packs sold = 1,110,000

Therefore, we can conclude that the state of Alabama sold 1,110,000 packs of playing cards, since the tax of 5 cents per pack generated a total revenue of $55500. It is important to note that this calculation assumes that the tax rate and revenue are directly proportional to the number of packs sold, and that there are no other factors affecting the market for playing cards in Alabama.

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Answer:

\(a^{6} a^{9} = a^{15}\)

Step-by-step explanation:

is this the question ///

Write the expression a^15 as a product of two exponents with the same base, one of which equals: a^6

if so ...

\(a^{6} a^{9} = a^{15}\)

The integral ∫(\(t^4\) / √(1-\(t^{10\))) dt evaluates to -(2 / 50\(t^5\)) √(1-\(t^{10\)) + C, where C is the constant of integration.

To evaluate the integral ∫(\(t^4\) / √(1-\(t^{10\))) dt, we can make a substitution u = 1 - \(t^{10\). Then, du = -10\(t^9\) dt, and rearranging gives dt = -(1/10\(t^9\)) du. Substituting these into the integral, we have:

∫(\(t^4\)/ √(1-\(t^{10\))) dt = ∫((-\(t^4\) / 10\(t^9\)) / √u) du

= -1/10 ∫(1 / \(t^5\) √u) du

= -1/10 ∫(\(u^{(-1/2)\) / \(t^5\)) du.

Now we can integrate \(u^{(-1/2)\) / \(t^5\) with respect to u:

∫\(u^{(-1/2)\) / \(t^5\)) du = (2√u / (5\(t^5\))) + C,

where C is the constant of integration.

Finally, substituting back u = 1 - \(t^{10\), we have:

∫(\(t^4\) / √(1-\(t^{10\))) dt = -1/10 ((2√(1-\(t^{10\))) / (5\(t^5\))) + C

= -(2 / 50\(t^5\)) √(1-\(t^{10\)) + C.

Therefore, the integral evaluates to -(2 / 50\(t^5\)) √(1-\(t^{10\)) + C.

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r = 88.5

y = 3/4

Step-by-step explanation:

From the lower triangle,

97 - 2x = 4x -2

Collecting all similar terms, we get

6x = 99 or x = 16.5

From the upper triangle, we can see that

5x + 6 = r ---> 5(16.5) + 6 = r or r = 88.5

Since the sum of all the interior angles of a triangle is equal to 180, we can write

4y + (5x + 6) + r = 180 ---> 4y + 5(16.5) + 6 + 88.5 = 180

4y = 3 or y = 3/4

let's firstly convert the mixed fraction to an improper fraction.

\(\stackrel{mixed}{1\frac{1}{3}}\implies \cfrac{1\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{4}{3}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{trail mix}}{\cfrac{4}{3}}\div \stackrel{bags}{4}\implies \cfrac{4}{3}\div \cfrac{4}{1}\implies \cfrac{4}{3}\cdot \cfrac{1}{4}\implies \cfrac{4}{4}\cdot \cfrac{1}{3}\implies \stackrel{per~bag}{\cfrac{1}{3}}\)

Answer:

her 22 him 66

22 years later her 44 and him88

Step-by-step explanation:

she hase to be 18 or older, but 22 works

so 22 x 3 = 66 he is 3 x older

him 66 +22=88 ,her 22+22= 44 x2 =88

Option B is the correct answer, The set of correlations which correctly shows the highest to lowest degree of relation is -0.91, +0.83, +0.10, -0.03.

What is correlation?

In statistics, the correlation is a technique used to determine the relationship between the two variables. The correlation's range is from -1 to +1. There are three primary categories of correlation: no correlation, positive correlation, and negative correlation. When the correlation value is zero, there is no association; the correlation value that is closest to zero indicates the weakest degree of relationship.

We must select the set of correlations in the question that accurately displays the highest to the lowest degree of relation.

Option B is the best choice since we must take the absolute value into account in order to determine the relationship's degrees. Here, the absolute values drop from 0.91 to 0.03.

Option A is incorrect since the absolute values decline from 0.91 to 0.03 and then climb to 0.10 in this situation.

Because the absolute values are not listed in decreasing order, Option C is incorrect.

Because the absolute values in this situation are not ordered in decreasing order, Option D is also a incorrect choice.

Therefore, option B, is the correct option.

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The graduated cylinder is most precise in measuring volume.

Precision is the degree to which separate measurements agree with one another. The general rule is that you can estimate one additional digit past the measuring device's smallest division, 100-mL graduated cylinders are read to 1 decimal, and the smallest graduated cylinder will hold the entire volume.

Precision refers to the number of significant figures in a measurement. When measuring liquid volumes, it is critical to read the graduated scale from the lowest point on the curved surface of the liquid, known as the liquid meniscus.

This means that the balance provides the most accurate and detailed measurement of volume compared to the other two devices.

Hence, the graduated cylinder is most precise in measuring volume.

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Answer:

Hm mmm

Step-by-step explanation:

The answer is 3.

Step-by-step explanation:

dnwkxmexk

Answer:

X<_ -15.6 (first one)

Step-by-step explanation: I think

Answer:

1#

Step-by-step explanation:

enjoy

The graph shown by the image is a cosine graph.

Sine and cosine graphs look essentially the same barring a little difference in their shapes.

A sine graph usually starts at zero, rises to a peak value, descends to a minimum value, and then returns to zero. This pattern repeats itself as the graph continues in both positive and negative directions along the x-axis.

A cosine graph, on the other hand, starts at its peak value, descends to a minimum value, rises back to its peak, and then returns to the minimum value before starting the pattern again. This pattern repeats itself indefinitely.

Thus, the graph shown is that of a cosine graph.

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Answer:

try that it should help you with you question

Step-by-step explanation:

https://www.khanacademy.org/math/cc-2nd-grade-math/x3184e0ec:data/cc-2nd-bar-graphs/v/creating-bar-charts-1

Step-by-step explanation:

Simple

Total no of marbles = 6 + 4 + 8 = 18

Probability of red marble = 6 / 18 = 1/ 3

The population includes the sample. Therefore, only some of the variables—not all—are used when we calculate central tendency or spread values.

What does the standard deviation of the sample mean?

According to question

    The sample may not be a good representation of the population due to various biases that could have been introduced during sample calculation, such as self-selection and non-response.

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Answer:

x=95°

Step-by-step explanation:

The solution for the differential equation is y = ±√((x + 5 ln|x| + c)/x).

To find the general solution for the differentia equation follow these steps:

We begin by separating the variables and integrating:

xy^2y' = x + 5

y^2 dy/dx = (x + 5)/x

Integrating both sides with respect to x:

∫y^2 dy = ∫(x + 5)/x dx

Simplifying the right-hand side:

∫y^2 dy = ∫1 dx + ∫5/x dx

∫y^2 dy = x + 5 ln|x| + c

Now we solve for y:

y^2 = (x + 5 ln|x| + c)/x

y = ±√((x + 5 ln|x| + c)/x)

Thus, the general solution to the differential equation is:

y = ±√((x + 5 ln|x| + c)/x)

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We have to determine whether the given series converges or diverges. The given series is as follows: `(n+4)! / 4!(n!)` Let's use the ratio test to find out if this series converges or diverges.

The Ratio Test: It is one of the tests that can be used to determine whether a series is convergent or divergent. It compares each term in the series to the term before it. We can use the ratio test to determine the convergence or divergence of series that have positive terms only. Here, a series `Σan` is convergent if and only if the limit of the ratio test is less than one, and it is divergent if and only if the limit of the ratio test is greater than one or infinity. The ratio test is inconclusive if the limit is equal to one. The limit of the ratio test is `lim n→∞ |(an+1)/(an)|` Let's apply the Ratio test to the given series.

`lim n→∞ [(n+5)! / 4!(n+1)!] * [n!(n+1)] / (n+4)!` `lim n→∞ [(n+5)/4] * [1/(n+1)]` `lim n→∞ [(n^2 + 9n + 20) / 4(n^2 + 5n + 4)]` `lim n→∞ (n^2 + 9n + 20) / (4n^2 + 20n + 16)`

As we can see, the limit exists and is equal to 1/4. We can say that the given series converges. The series converges. To determine the convergence of the given series, we use the ratio test. The ratio test is a convergence test for infinite series. It works by computing the limit of the ratio of consecutive terms of a series. A series converges if the limit of this ratio is less than one, and it diverges if the limit is greater than one or does not exist. In the given series `(n+4)! / 4!(n!)`, the ratio test can be applied. Using the ratio test, we get: `

lim n→∞ |(an+1)/(an)| = lim n→∞ [(n+5)! / 4!(n+1)!] * [n!(n+1)] / (n+4)!` `= lim n→∞ [(n+5)/4] * [1/(n+1)]` `= lim n→∞ [(n^2 + 9n + 20) / 4(n^2 + 5n + 4)]` `= 1/4`

Since the limit of the ratio test is less than one, the given series converges.

The series converges to some finite value, which means that it has a sum that can be calculated. Therefore, the answer is a).

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