William and Debra Pierce are celebrating their 20th anniversary by having a reception at a local reception hall. They have budgeted $2000 for their reception. If the reception hall charges a $70 cleanup fee plus $30 per​ person, find the greatest number of people that they may invite and still stay within their budget.

Answer:

2

Step-by-step explanation:

y2 - y1 / x2 - x1

11 - 3 / 2 - (-2)

8 / 4

= 2

Answer:

2 pounds of cheese

Step-by-step explanation:

First, we have to find out how much did she pay by taking

$5.00 - $1.40 = $3.60

So, she paid $3.60 in total. Then we find how many pounds of cheese she bought by taking

3.60 / 1.80 = 2 pounds of cheese

So, she bought 2 pounds of cheese.

The option that is not true about cluster sampling is option  A: Cluster sampling has the advantage of reducing sampling variability.

Cluster sampling often leads to larger sampling variability than other types of sampling methods, such as simple random sampling or stratified sampling, because clusters may not be a representative sample of the population and the individuals within a cluster may be more similar to each other than to individuals in other clusters.

Therefore, This increases the chance that the sample will not be representative of the population, which can result in a higher level of sampling error.

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Pat needs 16[tex]\sqrt{1200}[/tex]cm of trim for each placemat to braid trim around the edges.

To find out how much trim Pat needs for each placemat, we need to first find the perimeter of the rectangle.

The area of the rectangle is given as 1200 [tex]cm^2[/tex].

The perimeter of the rectangle is the sum of all four sides of the rectangle. If the length and breadth of the rectangle are L and B respectively, then the perimeter P can be calculated using the formula:

P = 2(L+B)

Now, let's find the length and breadth of the rectangle using the area formula,

Area = LB = 1200 [tex]cm^2[/tex]

so LB = 1200 [tex]cm^2[/tex]

Now we can substitute the value of L and B in the perimeter formula

P = 2(L+B) = 2(sqrt(1200)+sqrt(1200))

As the area of the rectangle is given as 1200[tex]cm^2[/tex] , the length and breadth can be calculated as [tex]\sqrt{1200}[/tex]cm.

So the perimeter of the rectangle is

P = 2*([tex]\sqrt{1200}[/tex] + [tex]\sqrt{1200}[/tex])

  = 2*2[tex]\sqrt{1200}[/tex]

  = 4[tex]\sqrt{1200}[/tex]cm

To find the total length of trim Pat needs for the placemat, we need to multiply the perimeter by the number of edges that need a trim. Since the edges are around the rectangular placemat, so it will be 4 edges.

So, the total length of trim Pat needs for the placemat is

P4 = 4[tex]\sqrt{1200}[/tex]*4 = 16[tex]\sqrt{1200}[/tex]cm

So Pat needs 16[tex]\sqrt{1200}[/tex]cm of trim for each placemat.

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Answer: To find an equation of the line that passes through the point (-5,-6) and is parallel to the line 4x−5y=35, we can use the fact that two lines are parallel if and only if they have the same slope.

The slope of the line 4x−5y=35 is -4/5. Therefore, we can find an equation of the line that passes through (-5,-6) and is parallel to 4x−5y=35 by using the slope-intercept form of a linear equation, y = mx + b, where m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis).

Substituting the values into the slope-intercept form, we get:

y = (-4/5)x + b

To find the value of b, we can substitute the coordinates of the point (-5,-6) into the equation:

-6 = (-4/5)(-5) + b

-6 = 8/5 + b

-6 - 8/5 = b

-24/5 = b

Therefore, the equation of the line that passes through the point (-5,-6) and is parallel to the line 4x−5y=35 is:

y = (-4/5)x - 24/5

This can also be written as:

y = -4/5x - 24/5

Step-by-step explanation:

Answer:

step 3 it is

.. . . . . . . . . . .. . . . .. .

The coefficient of the variable x² in the expression 3x+5 is 0

Given that,

The expression is 3x+5

To find : The coefficient of the variable x² in the expression

Coefficient is the number that is beside the variable in the equation.

The coefficient of x in 3x+5  is 0

A number multiplied by a variable is referred to as the coefficient of a number. For instance, the x2 coefficient in the formula 6x2+99 is 6

As we can see that the term that is in multiplication with x²  is 3.

Hence, the coefficient of x²  in the equation 3x+5  is 0.

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As per the graph, there is no restrictions for the domain but the range has a minimum value at y = - 4.

The domain is any real number:

The range is any real number not less than - 4:

Answer:

k < 10

Step-by-step explanation:

An inequality is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers.

Let k represent Ken. The closed side of < is the side the smaller number is going to be on. Ken has fewer marbles then Joe, therefore, k < 10 because Joe has 10 marbles.

Answer:

66

Step-by-step explanation:

Replace t with 9 in the equation.

[tex]28(1.1)^9[/tex]

Simplify.

[tex]28(2.358)[/tex]

[tex]66.023[/tex]

Rounded, it equals 66

On solving the provided question, we can say that by fraction they will have the same amount of fish in 5 months.

Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.

Month / Brent / Gretel

0/4/ 128

1/ 16 / 256

2 / 64 / 512

3 / 256 / 1024

4 / 1024 / 2048

5 / 4096 / 4096

They will have the same amount of fish in 5 months.

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Answer:

40

Step-by-step explanation:

Perimeter of sqaure:

= 4 × side

= 4 × 10

= 40 m

Answer:

38°

Step-by-step explanation:

We have supplementary angles, which mean they add up to 180°, so we can simply solve for x° by doing 180°-142°=38°

Answer:

X=38 degrees

Step-by-step explanation:

A straight line is 180 degrees so to find the missing part you can do 180-142.

That way you get the missing angle measurement.

Answer:

56

Step-by-step explanation:

Gluten-free choices:

Main dishes:  4

Rice dishes:  7

Bread:  2  (40% of 5 is 2)  0.40 x 5 = 2

Multiply numbers of choices together:  4 x 7 x 2 = 56

There are a total of 112 meal deals.

'In mathematics, a fraction is a number that represents a part of a whole. It consists of a numerator and a denominator. The numerator represents the number of equal parts of a whole, while the denominator is the total number of parts that make up said whole.'

According to the given problem,

For gluten free choices,

Main dishes = 22 × [tex]\frac{4}{11}[/tex]

                    = 8

Bread choices = [tex]\frac{40}{100}[/tex] × 5

                        = 2

Total possible meal deals = 8 × 7 × 2

                                           = 112

Hence, we can conclude, 112 possible meal deals are gluten free.

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Step-by-step explanatio

Answer:

8

Step-by-step explanation:

3x6 = 18

18-10 = 8

Answer:

55

Step-by-step explanation:

Hope it helps! :D

Answer:

(x - 3)^2 + (y + 2)^2 = 2^2

Step-by-step explanation:

The center is at x = 3 and y = 2:  (3, 2).  The radius is 2.  Starting with the standard equation of a circle with radius r and center (h, k), we get:

(x - 3)^2 + (y + 2)^2 = 2^2

Answer:

8 times larger than the original

Step-by-step explanation:

In any three dimensional object,  cube sphere, cone, etc., if all of its dimensions increase by a factor of x then its volume increases by a factor of x³

In this case the dimensions double, so the volume increases by a factor of 2³ = 8

Answer:

x=29, y= 14

Step-by-step explanation:

y=16-2(move the 2 over to isolate y.) y=14. now input 14 in the bottom equation. x= 2(14)+1, 2×14=28, 28+1=29. x=29, y=14

The algebraic expression to show Jill's age will be;

Jill = 1/3 x b

Algebraic expressions are the mathematical statements that are derived when operations such as addition, subtraction, multiplication, division, etc. are operated upon on variables and constants.

There are different parts of an algebraic expression and they are; Variables - a symbol that doesn't have a fixed value is called a variable. It can take any value assigned to it.

Constants - a symbol that has a fixed numerical value is called a constant. All numbers are constants.

Terms - A term is a variable alone (or) a constant alone (or) it can be a combination of variables and constants and the operation of multiplication or division with it.

Coefficients - the numbers that are multiplying the variables are called coefficients.

Beth's age = b

Jill's age = 1/3 of Beth's age

Jill's age = 1/3 x b

Jill's age = 1/3b

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If Dawson says that the expression [tex](2\frac{4}{10}+8\frac{4}{5})-3\frac{1}{5}[/tex] is equal to a whole number , then we can say that Dawson is correct .

The Mixed fraction expression is given as : [tex](2\frac{4}{10}+8\frac{4}{5})-3\frac{1}{5}[/tex] ;

first , we need to convert the mixed fraction in to simpler fractions ,

On converting ,

we get ;

the expression as : [tex](\frac{24}{10}+\frac{44}{5})-\frac{16}{5}[/tex] ;

taking the LCM of 10 and 5 as 50 ,

we get ;

⇒ [tex](\frac{24}{10}+\frac{88}{10})-\frac{16}{5}[/tex]

⇒ [tex](\frac{112}{10})-\frac{16}{5}[/tex]

Simplifying further ,

we have ;

⇒ [tex](\frac{112}{10})-\frac{32}{10}[/tex] ,

⇒ [tex]\frac{80}{10}[/tex]

= 8 , which is a whole number .

Therefore , we can agree with Dawson's statement that the expression [tex](2\frac{4}{10}+8\frac{4}{5})-3\frac{1}{5}[/tex] equals to a whole number "8" .

The given question is incomplete , the complete question is

Dawson says that the expression ([tex]2\frac{4}{10}[/tex] + [tex]8\frac{4}{5}[/tex]) - [tex]3\frac{1}{5}[/tex] is equal to a whole number .  Do you agree ? Explain .

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Answer: 9 2/3

Step-by-step explanation:

you take 29 and divide by 13 to get 2.23076923077 and you then take that times the 4 1/3 to get 9 2/3

Answer:

Step-by-step explanation:

13(X-4 1/3)=29

13X-56.3=29

     +56.3 = +56.3

13X=85.3

X=6.56

Answer: see below...

Step-by-step explanation:

a)

48 = 30%

100/30 = 10/3

48 x (10/3) = 160

$160 = 100%

b)

160 - 48 = $112

Answer:it’s 5.36

Step-by-step explanation:

Answer:

x < -18/5

this is the answer of you problem

Answer:

2 x 5 = 10, 10 x 2 = 20

4 x 2 = 8, 8 x 2 = 16

5 x 4 = 20, 20 x 2 = 40

40 + 20 + 16 = 76 yd^2 is your answer.

Answer: 76 yds

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