The product of a real number and another real number that is 6 less than the first equals 6. What are the numbers?

Answer:

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

Simplify in below steps:

Answer:

W=-3 because negative divided by a negative equals a positive

Step-by-step explanation:

Hope this helps!!!

Answer:

46 boxes

Step-by-step explanation:

1012 / 22 = 46

To solve this problem, we can use the formula for probability:

P(event) = number of favorable outcomes / total number of outcomes

First, let's find the total number of outcomes. We are selecting 4 balls from 11 without replacement, so the total number of outcomes is:

11C4 = (11!)/(4!(11-4)!) = 330

where nCr is the number of combinations of n things taken r at a time.

Now let's find the number of favorable outcomes for each part of the problem.

Part 1: Exactly two white balls and two red balls

To find the number of favorable outcomes for this part, we need to select 2 white balls out of 6 and 2 red balls out of 5. The number of ways to do this is:

6C2 * 5C2 = (6!)/(2!(6-2)!) * (5!)/(2!(5-2)!) = 15 * 10 = 150

So the probability of selecting exactly two white balls and two red balls is:

P(2W2R) = 150/330 = 0.45 (rounded to two decimal places)

Part 2: At least two white balls

To find the number of favorable outcomes for this part, we need to consider two cases: selecting 2 white balls and 2 red balls, or selecting 3 white balls and 1 red ball.

The number of ways to select 2 white balls and 2 red balls is the same as the number of favorable outcomes for Part 1, which is 150.

To find the number of ways to select 3 white balls and 1 red ball, we need to select 3 white balls out of 6 and 1 red ball out of 5. The number of ways to do this is:

6C3 * 5C1 = (6!)/(3!(6-3)!) * (5!)/(1!(5-1)!) = 20 * 5 = 100

So the total number of favorable outcomes for selecting at least two white balls is:

150 + 100 = 250

And the probability of selecting at least two white balls is:

P(at least 2W) = 250/330 = 0.76 (rounded to two decimal places)

Therefore, the solutions to the equation 0 = |3x + 3| + 3 are x = -2 and x = 0.

To solve the equation 0 = |3x + 3| + 3, we need to eliminate the absolute value. Remember that the absolute value of a number is always non-negative.

First, let's isolate the absolute value term on one side of the equation:

|3x + 3| = -3

Since the absolute value cannot be negative, there are no solutions to the equation as it stands. However, if we modify the equation to make the right side positive, we can find a solution.

To eliminate the absolute value, we can rewrite the equation as two separate equations, considering both the positive and negative cases:

   3x + 3 = -3

   -(3x + 3) = -3

Solving equation 1:

3x + 3 = -3

3x = -6

x = -2

Solving equation 2:

-(3x + 3) = -3

-3x - 3 = -3

-3x = 0

x = 0

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Answer:

As there are six seats in a row and the first person in the row is a woman and the people alternate woman, men, the possibility is

W

M

W

M

W

M

in that order.

Now as we four women, three seats for women can be filled in

X

4

P

3

=

24

ways

and similarly as we four men, three seats for men can be filled in

X

4

P

3

=

24

ways

Hence, total

24

×

24

=

576

permutations.

Step-by-step explanation:

Answer:

3.1kg

Step-by-step explanation:

4.7+5.6+6.4+2.8+3.5+4.4+4.5 = 31.9

4.375 x 8 = 35

35 - 31.9 = 3.1

Answer:

40200

Step-by-step explanation:

(8x7x6x5x4x3x2x1) - (5x4x3x2x1)

Or simply plug 8! - 5! into the calc.

Answer:

Step-by-step explanation:

40200

As per given by the question,

there are given that the equation,

Now,

From the given equation,

Then,

Then,

Hence, the value of the x is,

For Part 7:

The given equation is,

Then,

Hence, the value of x is,

Now,

For part 10:

The given equation is,

Then,

Hence, the value of x is,

Answer:

Option A and E.

Step-by-step explanation:

It is given that Chiyo has a toolbox with the shape of a rectangular prism with a length of 8 inches, width of 15 inches, and height of 6 inches. A triangular prism with a triangular base with base 8 inches and height 3 inches. The prism has a height of 15 inches.  

The shape can be broken into a rectangular prism and a triangular prism.

So, option A is correct.

Volume of rectangular prism \(=l\times b\times h\)

Where, l is length , b is width and h is height.

\(V_1=8\times 15\times 6=720\)

Volume of triangular prism \(=Bh\)

Where, B is base area and h is height.

Area of triangular base is

\(B=\dfrac{1}{2}\times 8\times 3=12\)

So, volume of triangular prism is

\(V_2=12\times 15\)

\(V_2=180\)

So, volume of tool box is

\(V=V_1+V_2=720+180=900\text{ inches cubed}\)

Therefore, the correct option is E.

Answer:

a and e

Step-by-step explanation:

Answer:

=3x^2(3x^3-6x+1)

Step-by-step explanation:

Answer:

d = 0

Step-by-step explanation:

To find the solution to the given equation, we must solve for d in the equation.

7.5d = 2.5d

Subtract 2.5d from both sides.

5d = 0

Divide both sides by 5.

d = 0

So the solution to the equation would be d = 0.

I hope this helps. Happy studying.

Answer:

4x

Step-by-step explanation:

In algebra, to avoid confusing the multiply sign and x, we always just put the terms next to each other to show that they multiply each other. Here, since x is unknown, we can't find a specific answer and therefore just write it as 4x, which means 4 times x.

Answer:

x= 8

Step-by-step explanation:

Step 1- Distribute into the parenthesis by 1.

4x+2+3(-1)+3(-1)x= 7

Step 2- Simplify.

4x+2-3-3x= 7

Step 3- Add common variables.

(4x-3x)+(2-3)

1x-1= 7

Step 4- Add 1 to both sides.

1x-1= 7

  +1  +1

1x= 8

Step 5- Divide both sides by 1.

1x= 8

1    1

x= 8

Answer:

MN : QR

LN : PQ

LM : PR

Step-by-step explanation:

The ratio seems to be 1 : 2.2

So the corresponding sides are:

MN : QR

LN : PQ

LM : PR

Answer:

mn=qr

Step-by-step explanation:

just comfirming also it says rq not qr

Step-by-step explanation:

common ratio r = 98/140

first term a = 140

geometric sequence formula is an = ar^(n-1)

an = 98^(n-1)

where n is the number of terms in the sequence

Answer:

A linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we want to have a slope equal to -2, then our line will be something like:

y = -2*x + b

Now, we also want this line to pass through the point (3, -4)

This means that when x = 3, we must have y = -4

Then:

-4 = -2*(3) + b

-4 = -6 + b

-4 + 6 = b

2 = b

Then our line is:

y = -2*x + 2

Now, the second part says that:

If this line  contains the points (2,8) and (5.b), find a and b.​

This is incorrectly written because this line clearly does not contain the point (2, 8), so i guess the actual problem is something like:

If this line  contains the points (a,8) and (5.b), find a and b.​

If the line contains the point (a, 8), this means that when y = 8, we must have x = a.

Then:

8 = -2*a + 2

8 - 2 = -2*a

6 = -2*a

6/-2 = -3 = a

a = -3

Similar reasoing for the other point, if the line contains the point (5, b), this means that when x = 5, we have y = b.

Then:

b = -2*5 + 2 = -10 + 2

b = -8

Answer:

216

Step-by-step explanation:

36*6=216

Answer:

-15.5 cannot be simplified further more.

Step-by-step explanation:

But if you want me to simplify 15.5/5

then here it is

\( \frac{15.5}{5} = \frac{3.1}{1} = 3.1\)

Answer: -10m + 30

Step-by-step explanation:

Given expression

(m - 3) (-10)

Expand parentheses and apply the distributive property

=m · (-10) - 3 · (-10)

Simplify by multiplication

=\(\boxed{-10m+30}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Step-by-step explanation:

Answer:

x= 3

    2

Step-by-step explanation:

Answer:

Now that you have x² - 8x + 16 = 9 + 16, apply the square root property to the equation.

✔ (x – 4)² = 25

Step-by-step explanation:

Answer: 18.78 cubic feet

Step-by-step explanation:

The detailed analysis is attached below.

People at the concession stand as input Cost of their order's output.

(1) The relation in question is a function.

(II) This function is not constant. (Each category of concession has a different order cost.)

Not a 1-1 function (iii). (Several persons arrived seeking the same sort of concession. So they all pay the same price for their order.)

A function describes the relationship between patrons' inputs at the concession stand and the cost of their order as an output. A function is a relationship between a set of possible inputs and outputs, where each input is associated to exactly one output.

The quantity of patrons at the concession stand serves as the input in this scenario, while the cost of their order serves as the output.

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The calculated price per video game for store A is $1.79 per game

From the question, we have the following parameters that can be used in our computation:

The price per video game for store A is calculated as

Price per video game = Total price/Number of games

using the above as a guide, we have the following:

Price per video game = 8.95/5

Evaluate the quotient

So, we have

Price per video game = 1.79

Hence, the price per video game for store A is $1.79 per game

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The interval notation for the solution set is (-∞, -4] and the number line is on the image at the end.

Here we want to find the solution set of the inequality below:

x ≤ -4

First let's do the interval notation. This will be the set that contains all the numbers from negative infinity to -4 (with -4 included, so  we need to have a closed set at that end)

This is written as:

(-∞, -4]

The use of the symbols [ ] means that the element belongs to the set.

Now to the number line, we will have a closed circle at x = -4 (because it is a solution) and a line that goes to the left of it. You can see an example in the graph at the end.

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Answer:

$126

Step-by-step explanation:

To calculate the interest Buddy will make in 7 years on a $600 investment at 3% interest, we can use the formula:

Interest = Principal x Rate x Time

where Principal is the initial investment, Rate is the interest rate, and Time is the length of time the investment is held.

Substituting the given values into the formula, we get:

Interest = $600 x 0.03 x 7 years

Simplifying the expression, we get:

Interest = $126

Therefore, Buddy will make $126 in interest over 7 years on a $600 investment at 3% interest.

Answer:

864

Step-by-step explanation:

80/100 simplified is 4/5

so you do 4/5 of 1080

which is 1080 divided by 5 that is 216

and then 216 x 4 which is 864

Answer:

40

Step-by-step explanation:

plugging in a and b will get us:

\(2^{2} + 6^{2} = c^{2}\)

4 + 36 = \(c^{2}\)

40 = \(c^{2}\)

c= \(\sqrt{40\\\)

The relationship between the dates of spread and the number of people infected can vary depending on various factors such as the infectiousness of the disease, the effectiveness of containment measures, population density, and individual behaviors.

However, there is a general rule that can describe the relationship:As the dates of spread progress, the number of infected individuals tends to increase initially, reaching a peak, and then gradually decreasing over time.

This pattern is often referred to as the epidemic curve or the epidemiological curve. In the early stages of an outbreak, the number of cases may grow rapidly as the disease spreads through a susceptible population. This rapid increase is often influenced by factors such as the contagiousness of the disease, population density, and social interactions.

As containment measures, such as vaccination campaigns, public health interventions, and behavioral changes, are implemented, the rate of new infections may start to decline. This can lead to a peak in the number of cases, after which the curve gradually decreases as the disease is brought under control and fewer susceptible individuals remain.

It's important to note that the specific shape, duration, and magnitude of the epidemic curve can vary significantly depending on the disease and the effectiveness of the response measures implemented. Additionally, emerging variants, changes in behavior, and other factors can impact the trajectory of the epidemic curve.

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