In the last draw, the grand prize was won. If there are three winners, each would have received $ 720,000; if there are four winners, each of the winners would receive $ 540,000. How many winners are there if everyone has $ 144,000?

a) 12 winners
b) 15 winners
c) 16 winners
d) 18 winners

( if your doing this can you please do it step by step )

The simplified expression is 2y² - 9.

To subtract the binomials (-3y^2 - 8) - (-5y^2 + 1), we need to distribute the negative sign to the terms inside the second set of parentheses:

(-3y^2 - 8) - (-5y^2 + 1) = -3y^2 - 8 + 5y^2 - 1

Next, we combine like terms by adding or subtracting the coefficients of the same degree:

-3y^2 + 5y^2 - 8 - 1 = (5y^2 - 3y^2) + (-8 - 1) = 2y^2 - 9

Therefore, the simplified expression is 2y² - 9.

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Answer:

Step-by-step explanation:

first multiply
80* 7% you can also do it as 80* (7/100)
=5.6
then,

add 80 and the ans of 80* (7/100)

80+5.6= 85.6

Answer:

31 and 37

Step-by-step explanation:

Those are the only two numbers

Answer:

The two numbers between 30 and 40 which have only 2 factors are -

31 and 37

Hope it helps you.

You should distinguish elements of your data visualization by strategically positioning the foreground and background and utilizing contrasting colors and shapes.

To effectively distinguish elements in your data visualization, you should differentiate the foreground and background by using contrasting colors and shapes. This makes the content more accessible and easier to understand for the viewers. This approach helps to improve the visual hierarchy of the content and make it more accessible to viewers. By choosing contrasting colors and shapes, you can emphasize important data points and draw attention to key insights, making it easier for your audience to understand the information presented in your visualization.

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The results of the algebraic expressions by means of distributive property are listed below:

Case 9: - 6 · x + 10

Case 10: - 24 · x + 18 · y

Case 11: 15 · y - 10 · x

Case 12: - 8 · x - 28

Case 13: - 7 · x + 14

Case 14: - 24 · x + 12

In this question we have six cases of algebraic expressions that must be simplified by means of distributive property, which states that a combination of three real numbers x, y and z has the following relationship:

x · (y + z) = x · y + x · z

Now we proceed to simplify each expression by means of distributive property:

Case 9

2 · (- 3 · x + 5)

- 2 · 3 · x + 2 · 5

- 6 · x + 10

Case 10

6 · (- 4 · x + 3 · y)

- 6 · 4 · x + 6 · 3 · y

- 24 · x + 18 · y

Case 11

(3 · y - 2 · x) · 5

3 · 5 · y - 2 · 5 · x

15 · y - 10 · x

Case 12

(- 2 · x - 7) · 4

- 2 · 4 · x - 7 · 4

- 8 · x - 28

Case 13

- 7 · (x - 2)

- 7 · x + 7 · 2

- 7 · x + 14

Case 14

- 3 · (8 · x - 4)

- 3 · 8 · x + 3 · 4

- 24 · x + 12

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Explanation:

Let's find the slope of line AB

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

m = (2-7)/(-6-4)

m = (-5)/(-10)

m = 1/2

The slope of line AB is 1/2

To get the slope of BC, we flip the fraction and the sign to get the perpendicular slope

1/2 becomes -2/1 or simply -2

----------

Slope of AB = 1/2

Slope of BC = -2

Notice how the two perpendicular slopes multiply to -1.

We know they are perpendicular because the four angles of any rectangle are always 90 degrees each.

Answer:

D. -3

Step-by-step explanation:

d = t2 - t1

d = -5 - (-2)

d = -3

The main advantage of the discussion forum is that it allows the exchange of information, the disadvantage is that it requires a very good organization.

The main advantages of this forum are:

The main disadvantages are:

Answer:

The density graph for all possible temperatures from 60 degrees to 160 degrees can be used to find the probability of a temperature falling within a certain range.

Option (A) is incorrect because it includes temperatures that are outside the range of the graph.

Option (B) is incorrect because it includes temperatures that are outside the range of the graph.

Option (C) is incorrect because it includes temperatures that are outside the range of the graph.

Option (D) is the only option that falls within the range of the graph. Therefore, the density graph can be used to find the probability of a temperature from 90 degrees to 120 degrees, which is option (D).

Step-by-step explanation:

Answer:

a=7, b=14

Step-by-step explanation:

a. 2/6=x/21

cross multiply=

2×21=x×6

then solve

42=6x

divide both sides by 6

x=42/6=7

b. 150/84=25/x

cross multiply=

84×25=150×x

then solve

2100=150x

divide both sides by 150

x=2100/150=14

HOPE THIS HELPS.

Answer:

y = 20x +22

Step-by-step explanation:

Answer:

  about 520,000

Step-by-step explanation:

Following directions, we evaluate the equation by putting the value where the variable is and doing the arithmetic.

__

The value of x will be the number of days between May 26 and May 12. That value is ...

  x = 26 -12 = 14

Then the number of mosquitos is estimated to be ...

  y = 230,000(1.06^14) ≈  520,008

About 520,000 mosquitos will inhabit the city on May 26.

_____

Additional comment

Typically, an "estimate" is one or two significant figures. So, 520,000 is a reasonable estimate. 520,008 has more precsision than can be justified.

Using logarithmic function concepts, it is found that the correct statement is:

x = 9 is a true solution and x = -9 is an extraneous solution.

A logarithmic function is modeled by:

\(a = \log_{b}{x}\)

It means that:

\(b^a = x\)

In this problem, we have that:

\(2\log_{3}{x} = 4\)

Applying the power property:

\(\log_3{x^2} = 4\)

Applying the definition:

\(x^2 = 3^4\)

\(x^2 = 81\)

\(x = \pm 9\)

As the logarithm function is defined only for positive values, the correct statement is:

x = 9 is a true solution and x = -9 is an extraneous solution.

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Answer:

D on edge

Step-by-step explanation:

x=9 is true soltion and x = -9 is an extraneous soltion

At the end of the first 3 seconds, there would be 6 customers in line at the book store.

Little's Law can be used to calculate the number of customers in line at the end of the first 3 seconds. According to Little's Law: the average number of customers in the system is equal to the arrival rate multiplied by the time spent in the system.

In this case, the arrival rate during the first 3 seconds is 29 customers per second, and the time spent in the system is 3 seconds. Therefore the average number of customers in the system is 87 (29 customers per second x 3 seconds).

However since the bookstore can only serve 27 customers per second, the maximum number of customers that can be served during the first three seconds is 81 (27 customers per second x 3 seconds). This means that there are 6 customers who remain in line at the end of the first 3 seconds.

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Answer:

\(IK = IJ\sqrt{2}\)

Step-by-step explanation:

First, it's an isosceles right triangle, which means there is a 90 degree angle and the two other angles are equal.

To find what the two other angles are, you can set up a quick equation:

let x be angle

90 + 2x = 180, since the sum of the interior angles in a triangle is always 180.

then,

\(2x = 90\\x = 45\)

Therefore, the triangle is a 45-45-90 triangle.

You have the measure of IJ, which is one of the legs of the triangle. The way you can find the length of the hypotenuse of a 45-45-90 triangle is by multiplying the length of one of the legs by \(\sqrt{2}\).

This means the equation is \(IK = IJ\sqrt{2}\)

Answer:

\(\sf IK=IJ\sqrt{2}\)

Step-by-step explanation:

The interior angles of a triangle sum to 180°.  Therefore, if ΔIJK is an isosceles right triangle where m∠J = 90°:

To calculate the base angles:

⇒ m∠K + m∠I + m∠J = 180°

⇒ m∠K + m∠I + 90° = 180°

⇒ m∠K + m∠I = 90°

⇒ m∠K = m∠I = 45°

Therefore, IJ and JK are the legs of the right triangle and IK is the hypotenuse.

To find the length of the hypotenuse, use Pythagoras' Theorem.

Pythagoras’ Theorem:  \(\sf a^2+b^2=c^2\)

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

Substitute the given values into the formula and solve for IK:

\(\sf \implies IJ^2+JK^2=IK^2\)

\(\sf \implies 4^2+4^2=IK^2\)

\(\sf \implies IK^2=32\)

\(\implies \sf IK=\sqrt{32}\)

\(\implies \sf IK=\sqrt{16 \cdot 2}\)

\(\implies \sf IK=\sqrt{16}\sqrt{2}\)

\(\implies \sf IK=4\sqrt{2}\)

As IJ = 4 then:

\(\implies \sf IK=IJ\sqrt{2}\)

Answer:

one solution

Step-by-step explanation:

Given

17 - \(\frac{1}{9}\) x = 10 ( subtract 17 from both sides )

- \(\frac{1}{9}\) x = - 7 ( multiply both sides by - 9 to clear the fraction )

x = 63

Answer:

12

Step-by-step explanation:

Looking for LCM of 4 2 and 3    <==== this is 12

Answer:

-5.4

Step-by-step explanation:

because -3 x 1.8= -5.4

Answer: -5.4

Step-by-step explanation: 1.8b means to multiply 1.8 by b and b=-3 therefore, 1.8(-3)= -5.4

Hope this helps ^_^

Answer:

4

Step-by-step explanation:

The triangle inequality theorem tells us the range of a third side of a triangle if we know the other two sides. Basically you only need to know how to add and subtract.

The third side has to be less than:

11 + 7.5

that is less than 18.5.

And the third side has to be more than:

11 - 7.5

That is, more than 3.5.

"integer" just means no decimals or fractions, so round up to 4.

4 is the smallest whole number that the third side can be.

Answer:

3, 6, 15, 17, 21.

Step-by-step explanation:

Brainliest?

Answer:

C

Step-by-step explanation:

the value of x is 5 sub 5 into the formula your ans will be -14

The time axis is divided into slots equal to the packet transmission duration. In the collision control protocol, a station with a ready packet will transmit in the next time slot with a probability p (0 < p < 1). This protocol helps manage collisions and ensures efficient communication among the stations.

In a shared bus network with 6 stations, the collision control protocol requires that each station transmits its packet in the next time slot with a probability of p, where 0 < p < 1. If multiple stations transmit simultaneously, a collision occurs and the packets are lost. The probability of a successful transmission depends on the number of stations attempting to transmit at the same time. As the number of stations increases, the probability of collisions also increases, leading to lower overall network efficiency. Therefore, it is important to carefully manage the number of stations on the network and the probability of transmission to ensure optimal performance.

Additionally, it may be necessary to implement mechanisms such as back-off and retransmission to improve the reliability of the network and reduce the impact of collisions.
The time axis is divided into slots equal to the packet transmission duration. In the collision control protocol, a station with a ready packet will transmit in the next time slot with a probability p (0 < p < 1). This protocol helps manage collisions and ensures efficient communication among the stations.

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Answer:

The tree is 20.6 ft tall.

Step-by-step explanation:

Please check the attached graph.

From the diagram, it is clear that John is 5 ft tall is standing 20 feet away from a tree, making an angle of elevation to be 38⁰.

The diagram makes a right-angled triangle.

Pythagorean Theorem:

For a right-angled triangle, with sides 'a' and 'b', the hypotenuse 'c' is defined as:

\(\:c=\sqrt{a^2+b^2}\)

substituting a=5, b=20

\(c=\sqrt{5^2+20^2}\)

\(c=5\sqrt{17}\)

\(c=20.6\) ft

Thus, the tree is 20.6 ft tall.

It will take 120 minutes for smaller hose to fill the complete swimming pool on its own.

Let us represent the complete swimming pool as 1. Now, total time required to fill the swimming pool is 40 hours. So, amount of swimming pool filled in 1 minute = 1/40

Similarly, amount fo swimming pool filled by larger hose in 1 minute = 1/60

Now for the smaller hose, the amount of swimming pool filled in 1 minute = 1/40 - 1/60

The amount of swimming pool filled in 1 minute = (60 - 40)/2400

The amount of swimming pool filled in 1 minute = 20/2400

The amount of swimming pool filled in 1 minute = 1/120

Total time taken to fill swimming pool = 1 ÷ (1/120)

Total time taken to fill swimming pool = 120 minutes

Thus, 120 minutes are required.

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You plan to construct a brick wall measuring 14.5 ft. in length, 5.5 ft. high, and 0.5 ft. in width. If a brick measures 6 in. x 4 in. x 2 in. you will need 3,240 bricks.

The volume of the cuboid is the product of the length, breadth, and height of the given prism.

Volume of cuboid = (length x width x height)

We have given that

Dimensions of a brick wall is given by

Length = 14.5 feet

Width = 0.5 feet

Height = 5.5 feet

Dimensions of a brick is given by

Length = 6 inch

Width = 4 inch

Height = 2 inch

First of all, we will convert the dimensions of a wall from feet into inches.

1 feet = 12 inch

15 feet = 12*15 inch = 180 inch

6 feet = 12*6 inch = 72 inch

We know that volume of a brick wall will be equal to the volume of 'n' bricks, so we can set an equation;

The volume of a brick wall = the volume of 'n' bricks

180 x 72 x 12 = n x 6 x 4 x 2

155520 = n x 48

n = 3240

Therefore, you will need 3,240 bricks.

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Answer:

24%

Step-by-step explanation:

we subtract to see how much it increased

62-50=12

Now divide 12 by 50 to get percent

12/50

0.24

0.24x100

24%

Hopes this helps please mark brainliest

Answer:

5(-2m - 4) is equivalent to 10m + 20.

Answer:

D) 10m+20

Step-by-step explanation:

To solve for this, we have to solve -5(-2m-4).

To do this, distribute (multiply) -5 to both of the numbers in the parathesis:

-5x-2m

=10m

-5x-4

=20

10m+20

So, D is the correct answer.  Hope this helps :)

The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

What is derivative?

The derivative of a function in calculus measures the function's sensitivity to changes in its input variable. Specifically, at a particular point, it represents the function's rate of change with respect to its input variable at that moment.

The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

This limit represents the instantaneous rate of change or slope of the function at the point x = a. The difference quotient is the change in the function value divided by the change in the input variable (or the distance between two points on the graph of the function).

The derivative is a fundamental concept in calculus, and it has many applications in various fields of science, engineering, and economics. It allows us to calculate important quantities such as velocity, acceleration, and marginal cost, and it is used to optimize functions and solve many real-world problems.

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