6x-18+3x= 180 what does x =

Answer:

Step-by-step explanation:

What is

3.5x - 7 + 90?

3.5x - 7 + 90 =

7/2x - 7 + 90 =

7/2x + 83

the size of the union of the three sets is: |A ∪ B ∪ C| = |A| + |B| + |C| - |A ∩ B| - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C| = 3  × 24 million - 3 × 1.4 million + 1.2 million ≈ 69 million

A combination is a way of selecting a subset of objects from a larger set without regard to their order. The formula for the number of combinations of n objects taken r at a time is:
C(n, r) = n! / (r! ×  (n - r)!)
where n! means the factorial of n, which is the product of all positive integers up to n. For example, 5! = 5 ×  4 ×  3 ×  2 ×  1 = 120.
To apply this formula to our problem, we first need to count the total number of coins in the pile. Since there are at least 16 of each type, the minimum total is:
16 + 16 + 16 + 16 = 64
But there could be more coins of each type, so the total could be larger than 64. However, we don't need to know the exact number, only that it is large enough to allow us to choose 16 coins from it.
Using the formula for combinations, we can calculate the number of different collections of 16 coins that can be chosen from the pile:
C(64, 16) = 64! / (16! × (64 - 16)!) ≈ 1.1 billion
That's a very large number! It means there are over a billion ways to choose 16 coins from a pile that contains at least 16 of each type.
To answer the second part of the question, we need to count the number of collections that contain at least 3 coins of each type. One way to do this is to use the inclusion-exclusion principle, which says that the number of elements in the union of two or more sets is equal to the sum of their individual sizes minus the sizes of their intersections, plus the sizes of the intersections of all possible pairs, minus the size of the intersection of all three sets, and so on.
In this case, we can consider three sets:
- A: collections with at least 3 pennies
- B: collections with at least 3 nickels
- C: collections with at least 3 dimes
- D: collections with at least 3 quarters
The size of each set can be calculated using combinations:
|A| = C(48, 13) ≈ 24 million
|B| = C(48, 13) ≈ 24 million
|C| = C(48, 13) ≈ 24 million
|D| = C(48, 13) ≈ 24 million
Note that we have to choose 3 coins of each type first, leaving 4 coins to be chosen from the remaining 48 coins.
The size of the intersection of any two sets can be calculated similarly:
|A ∩ B| = C(43, 10) ≈ 1.4 million
|A ∩ C| = C(43, 10) ≈ 1.4 million
|A ∩ D| = C(43, 10) ≈ 1.4 million
|B ∩ C| = C(43, 10) ≈ 1.4 million
|B ∩ D| = C(43, 10) ≈ 1.4 million
|C ∩ D| = C(43, 10) ≈ 1.4 million
Note that we have to choose 3 coins of each type first, leaving 1 coin to be chosen from the remaining 43 coins.
The size of the intersection of all three sets can also be calculated:
|A ∩ B ∩ C| = C(38, 7) ≈ 1.2 million
Note that we have to choose 3 coins of each type first, leaving 1 coin to be chosen from the remaining 38 coins.

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The symbolic representation for the given statement " If two angles are not congruent, then they have the same measure" is ~q → p. So, option A is correct.

It is given that,

p - "Two angles have the same measure"

q - "The angles are congruent"

Statement: " If two angles are not congruent, then they have the same measure"

So, symbolically it is written as,

The hypothesis "two angles are not congruent" is represented by ~q and the conclusion "they have the same measure" is represented by p.

That is,

The representation is "If ~q then p i.e., ~q → p. So, option A is correct".

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Answer:

Step-by-step explanation:

y=a*b^x

a=$2,000

This is the amount that the homeowner borrowed from the lender

b=This would be represented as 1.04 in decimal form

The reason why it is 1.04 is that the 1 aka 100% counts as 2,000 which is the whole thing as well as 0.04 or 4% percent of the total amount($2000)

x= You would leave this as x because they did not give a value and the equation is written so that it could be used to solve the amount of money owed after 'x' years or a certain number of years

Therefore the equation would be y=2000*(1.04)^x

Given

similar triangles = QRS and STU

Find

Missing statement .

Explanation

As we have given

similar triangles QRS and STU

by property of similar triangle we have ,

Slope of QS * Slope of US =

now , substituting the property of equality

Slope of QS * Slope of US =

So,

Slope of QS * Slope of US = -1

Final Answer

Missing statement =

Correct option is A.

The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.

The given problem is related to percentage discounts and sales tax and can be solved using the following steps:

Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25

Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75

Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79

Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.

Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54

Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!

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the answer of all the 5 expressions is given as : 0, 14, 49, -49, -14 respectively.

What is mathematic expression?

A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Here the given expression are :

1)  |-7| - 7 :

now, here considering the modulus value of -7 as 7 that is positive only :

 |-7| - 7 = 7-7 = 0

2) 2|-7| = 2x 7

   2|-7| = 14

3) (-7)² = -7 x -7 = 49

4) -7² = -(7 x 7) = -49

5) -7 -|-7| = -7 - 7 = -14

it should be noted that we have considered only positive value of modulus function only.

Therefore, the answer of all the 5 expressions is given above.

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Answer:

\((12 \div 3)(2 - (18 \div 32) \\ = 4(2 - \frac{19}{16} ) \\ = 4( \frac{23}{16} ) \\ = \frac{23}{4} \\ since \: (4 \div 2) = 2 \\ \frac{23}{4} is \: not \: < 2 \: but \: its \: > 2\)

The sales price on an item that is $50 with a 54% markdown is $23

The given parameters are

Item price = $50

Markdown = 54%

The sales price on an item that is $50 with a 54% markdown is calculated as

Sales price = Item price * (1 - Markdown)

So, we have

Sales price = 50 * (1 - 54%)

Evaluate

Sales price = 23

Hence, the sales price on an item that is $50 with a 54% markdown is $23

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In this study, we are comparing the average number of courses taken by two distinct groups: 60 freshmen at a university and 55 freshmen at a community college.

These two groups are separate from each other and do not have any specific connection or pairing. The individuals in each group are not matched or related to individuals in the other group, and the performance or choices of one group do not affect or depend on the other group.

Based on this information, we can conclude that the two samples in this study are independent samples. Independent samples refer to cases where the observations or data points in one sample have no effect on or relationship with the observations in the other sample.

This is in contrast to paired samples, where each data point in one sample has a specific corresponding data point in the other sample, and the two data points have a clear connection or dependency.

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Answer:

Step-by-step explanation:

3 : 18 = 1 : 6Then multiplying both the sides by 7 we get 7 : 42

Answer: 1:6

Step-by-step explanation: you divide 3 by 3 and 18 by 3

Having the right product means that the software being developed meets the needs and requirements of its intended users.

This involves identifying the target audience, understanding their needs, and designing the software in a way that meets those needs. In addition to functionality, having the right product also means ensuring the software is user-friendly, reliable, and efficient. Achieving the right product requires effective communication between developers and stakeholders, as well as ongoing testing and feedback to ensure that the software meets its intended purpose.

Ultimately, having the right product leads to greater user satisfaction, increased productivity, and improved overall performance of the software.

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Answer:

6

Step-by-step explanation:

If you were scaling it by 1/6 it would be smaller.

The equation of a plane that passes through a point and is parallel to the YZ plane can be written as:

x = constant

When a plane is parallel to the YZ plane, it means that its normal vector is perpendicular to the X-axis. Since the normal vector is perpendicular to the X-axis, the X-coordinate of any point on the plane remains constant.

To find the equation of the plane, we need a point that lies on the plane. Let's assume the point (a, b, c) lies on the plane.

Since the plane is parallel to the YZ plane, the X-coordinate of any point on the plane will remain constant. Therefore, we can say that x = a.

The equation of the plane becomes:

x = a

The equation of a plane that passes through a point and is parallel to the YZ plane is given by the equation x = a, where a is the constant X-coordinate of any point on the plane. This equation represents all points where the X-coordinate remains constant, while the Y and Z coordinates can vary freely.

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Answer:

\(36.25\)

Step-by-step explanation:

Let \(x\) be the cost of 5 bags of bulk cereal.

3 is to $21.75 as 5 is to \(x\), this translates to the following

\(\frac{3}{21.75}=\frac{5}{x}\)

Solving for \(x\), we get \(x=36.25\)

Answer:

5 bags of bulk cereal cost $36.24

Step-by-step explanation:

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

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

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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If P(B)=0.3, P(A|B)=0.5, P(B')=0.7and P(A|B')=0.8, then the value of the probability P(B|A)= 0.2113

To find the value of P(B|A), follow these steps:

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Answ

what is this for

Step-by-step explanation:

A cuboid with side lengths x, x and h has a surface area of

S=2x2+4xh.

We know that the total surface area should be 150cm2, so

150⟹150−2x2⟹h=2x2+4xh=4xh=75−x22x.

Answer:

1.4 people out of 10

Step-by-step explanation:

Just divide it by 10

Answer:

only 4 people

If a costumer decides to pay in cash then saved £3.6.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

A cash discount of 8% is allowed on an item which costs £45.

Now, The amount of Saved money calculated as;

Since, A cash discount of 8% is allowed on an item which costs £45.

Hence,

Saved money = 8% of £45

                      = 8 x 45 / 100

                      = 3.6

Thus, Saved money = 3.6

Therefore, If a costumer decides to pay in cash then saved £3.6.

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Answer:

P'(0, -4)

Step-by-step explanation:

when a coordinate (x, y) is rotated by 180 degrees, the resulting coordinate will be (-x, -y). Note that each coordinate is negated when rotated about 180 degrees

Given the coordinate P (0, 4). When rotated by 180 degrees, the resulting coordinate will be at P'(0, -4)

The yield is the percentage of orders that are error-free, which is equal to  85%. The correct option is C.

The yield is the percentage of orders that are error-free. We can calculate it as follows:

In manufacturing or production, yield is the percentage of products or orders that pass quality control and are considered usable or acceptable. It is calculated by dividing the number of good units by the total number of units produced or tested, and then multiplying by 100 to get a percentage.

Total number of error-free orders = Total number of orders - Number of errors

Total number of error-free orders = 400 - 60 = 340

Yield = (Total number of error-free orders / Total number of orders) * 100

Yield = (340 / 400) * 100

Yield = 85%

Therefore, the answer is C. 85%.

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Answer:

D) The coefficient

Explanation:

The coefficient is the number placed before the variable in the expression.

In 3x x is the variable and 3 is the number placed before it making it the coefficient.

Answer: 9/2

Step-by-step explanation: Hope this helps.

Answer:

A

Step-by-step explanation:

The number of five-digit flippy numbers are divisible by 15 is;

Option B; 4 Numbers

For a number to be divisible 15, it has to be divisible by 3 and 5.

Also, for a number to be divisible by 5, it's last digit has to be 0 or 5.

       5N5N5

For it to be divisible by 3, since 5 + 5 + 5 = 15 is divisible by 3, the N + N can be equal to 0, 6, 12, or 18 since N is identical.

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The speed of the copy machine is 30 pages per minute.

What is Fraction ?

A fraction is a way of representing a part of a whole or a division of a quantity into equal parts. It consists of two numbers, one written above the other and separated by a horizontal or diagonal line called a fraction bar. The number written above the fraction bar is called the numerator, and the number written below the fraction bar is called the denominator.

If the copy machine made a copy of Leslie's 3-page essay in just 1/10 of a minute, then it made a copy of one page in 1/10 ÷ 3 = 1/30 of a minute.

To find the speed of the copy machine, we can take the reciprocal of the time it takes to make one copy, which is:

1 ÷ (1/30) = 30

Therefore, the speed of the copy machine is 30 pages per minute.

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Perimeter = 2 (l + b)

2x² + 4x - 4y = 2 {(2x - 3y) + b}

2x² + 4x - 4y = (4x - 6y) + 2b

2x² + 4x - 4y - (4x - 6y) = 2b

2x² + 4x - 4y - 4x + 6y = 2b

2x² + 2y = 2b

(2x² + 2y)/2 = b

x² + y = b

Breadth = x² + y

Answer:

d =  244

Step-by-step explanation:

Answer:

y = 250, (19.714, 125), population of salmon

Step-by-step explanation:

Answer:

The function has an asymptote at

✔ y = 250

.

The point of inflection is

✔ (168.40, 125)

.

The limiting value represents the

✔ population of salmon

.

Step-by-step explanation: