QUICK!! At Thanksgiving, Plentiful Pies baked 100 pumpkin and pecan pies combined. The pies were sold in a two pack with one of each flavor, then the shooed closed plentiful pies had 4 pies left over. How many customers purchased a two pack of pies at thanksgiving?

Answer: 6 feet and 10 inches

Step-by-step explanation:

Each foot has 12 inches in it

You can either divide 82 by 12 or

1 foot: 12 inches

2 foot: 24 inches

3 foot: 36 inches

4 foot: 48 inches

5 foot: 60 inches

6 foot: 72 inches

7 foot: 84 inches

Since 7 foot is too much you can now take 6 feet (72 inches) and subtract it from 82

82-72=10

10 meaning 10 inches

6 feet and 10 inches

You may also divide but you will get a decimal like this:

6.83333333

Unit conversion is a way of converting some common units into another without changing their real value. The length of the table cloth is 6 ft 10 inches.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

In terms of measurement, one foot is 12 inches.

1 ft = 12 inches

Given that the table cloth is 82 inches long. Therefore, the length in feet and inches are,

Length = 82 inches

            = 82 / 12 foot

            = 6 10/12 foot

            = 6 ft 10 inches

Hence, the length of the table cloth is 6 ft 10 inches.

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Answer:

c is greater than or equal to -1.

Step-by-step explanation:

Subtract 3 from both sides, divide by 5.

I have attached the work to your problem below.

I hope this helps.

Answer:

121/4

Step-by-step explanation:

To complete the square, we have to work with the coefficient of x

We have to divide the coefficient of x by 2, square it and add it to both sides

So we divide 11 by 2; which is 11/2; then square it

we have this as 121/4

This number is what we are going to have added

Answer:

Step-by-step explanation:

\(x^2+11x-38=0\\\\x^2+2\cdot\frac{11}2x-38=0\\\\\underline{x^2+2\cdot x\cdot\frac{11}2+\bold{\big(\frac{11}2\big)^2}}-\big(\frac{11}2\big)^2-38=0\qquad\qquad\qquad\{\big(\frac{11}2\big)^2=\frac{121}4\}\\\\ \big(x+\frac{11}2\big)^2-\frac{121}4-\frac{152}4=0\\\\ \big(x+\frac{11}2\big)^2-\frac{273}4=0\\\\ \big(x+\frac{11}2\big)^2=\frac{273}4\)

\(x+\frac{11}2=\pm\frac{\sqrt{365}}2 \\\\x=\frac{-11\pm\sqrt{365}}2\)

Answer: you looking for ways to calculate ratio problems quickly and accurately? Learn the best methods here, with useful diagrams – and find out what to avoid too. … Ratios can be scaled up or down by multiplying both parts of the ratio … the ratio by the largest number that they can both be divided by

Step-by-step explanation:

Answer:

The correct options are;

1. Definition of supplementary angles

2. m∠1 + m∠2 = m∠1 + m∠3

3. m∠2 = m∠3

4. Definition of congruent angles

Step-by-step explanation:

The two column proof is presented as follows;

Statement    \({}\)                                      Reason

1. ∠1 and ∠2 are supplementary \({}\)       Given

∠1 and ∠3 are supplementary \({}\)      

2. m∠1 + m∠2 = 180°     \({}\)                      (1) Definition of supplementary angles

m∠1 + m∠3 = 180°

3. (2) m∠1 + m∠2 = m∠1 + m∠3      \({}\)     Transitive Property

4. (3) m∠2 = m∠3     \({}\)                            Subtraction property of equality

5. ∠2 ≅ ∠3     \({}\)                                       (4) Definition of congruent angles

Given that angles ∠1 and ∠2 are supplementary, we have, ∠1 + ∠2 = 180°

Given that angles ∠1 and ∠3 are also supplementary, we also have, ∠1 + ∠3 = 180°

∴ ∠1 + ∠2 = 180° = ∠1 + ∠3

∠1 + ∠2 = ∠1 + ∠3

∠1 + ∠2 - ∠1 = ∠1 + ∠3 - ∠1

∴ ∠2 = ∠3

∴ ∠2 ≅ ∠3, by definition of congruent angles.

The average rate of change is 4.

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

The rate of change in interval [0, 2]

r=[h(2)-h(0)]/2

h(2)=(2)²+2(2)-6

h(2)=4+4-6

h(2)=2

h(0)=(0)²+2(0)-6

h(0)=0+0-6

h(0)=-6

So, r=[h(2)-h(0)]/2

r=[2-(-6)]/2

r=(8)/2

r=4

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Answer:

1

Step-by-step explanation:

dgshdbahdbdbsbdbdbdbdbebdbdhdhd

The overall limit does not exist as it approaches infinity.

To find the limit of the function lim (x, y)→(0, 0) cos(xy) − 1 / x^2y^2, we can use polar coordinates.

Let x = r cosθ and y = r sinθ. Then as (x, y) approaches (0, 0), r approaches 0. Substituting these values into the function, we get:

lim r→0 (cos(r^2 sinθ cosθ) - 1) / (r^4 cos^2θ sin^2θ)

Next, we can take the limit as r approaches 0 for each of the terms separately. Since cos(r^2 sinθ cosθ) approaches 1 as r approaches 0, the first term goes to 0. For the second term, we can simplify it as follows:

lim r→0 1 / (r^2 cos^2θ sin^2θ) = lim r→0 sec^2θcsc^2θ / r^2 = ∞

Therefore, the overall limit does not exist as it approaches infinity.

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Answer:

Put the equation into the form ax 2 + bx = – c.

Make sure that a = 1 (if a ≠ 1, multiply through the equation by. before proceeding).

Using the value of b from this new equation, add. ...

Find the square root of both sides of the equation.

Solve the resulting equation.

Answer: moderate, C, B

Step-by-step explanation:

A)  A shows a moderate negative correlation.  It is moderate because the scattered points are sort of close to the line so it has moderate/medium correlation.  It is also negative because it has a negative slope

B) C shows the strongest correlation because the points around the line are tight and close.

C)  B should not have been drawn.  The  correlation is very weak.  You do know where the line should be because the points are all over the place.

If the number of tomato growers in the market increases, it would generally lead to an increase in the supply of tomatoes increases.

The correct answer is A.

The correct answer is A.

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The net force on a vehicle is directly proportional to its acceleration and mass, according to Newton's Second Law of Motion. Therefore, we can use the equation F = ma, where F is the net force, m is the mass of the vehicle, and a is the acceleration.

We know that the net force on the vehicle is 1800 and its acceleration is 1.5. Substituting these values into the equation, we get:
1800 = m × 1.5

To solve for m, we need to isolate it on one side of the equation. Dividing both sides by 1.5, we get:

m = 1800 ÷ 1.5

m = 1200

Therefore, the mass of the vehicle is 1200 kilograms to the nearest kilogram

Net force = mass × acceleration

In this case, the net force on the vehicle is 1800 N (Newtons), and it is accelerating at a rate of 1.5 m/s² (meters per second squared). We can rearrange the formula to solve for mass:

Mass = net force ÷ acceleration

Now, plug in the given values:

Mass = 1800 N ÷ 1.5 m/s²

Mass ≈ 1200 kg

To the nearest kilogram, the mass of the vehicle is approximately 1200 kg.

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The running club needs to sell (n - 15) sweatshirts at a price of $10 + $900/(n - 15) per sweatshirt to regain their $900 investment.

What is profit?

Profit is the money that a business or individual earns after taking away all the costs involved in producing or providing a product or service. It is the extra amount of money that is left over once all the bills and expenses have been paid.

A positive profit means that the business has earned more money than it has spent, while a negative profit means that it has lost money. Profit is important for businesses because it helps them stay financially stable and grow, and it is also important for individuals who want to earn a living from their work.

The running club bought a case of sweatshirts for $900, which means the cost per sweatshirt was $900 divided by the number of sweatshirts in the case. Let's assume there were "n" sweatshirts in the case.

Cost per sweatshirt = $900/n

The club needs to sell all but 15 of the sweatshirts at a profit of $10 per sweatshirt to regain the $900 investment. Let's assume they sell "x" sweatshirts at the desired price.

Revenue from selling x sweatshirts = x * ($10 + cost per sweatshirt)

The revenue must be equal to the cost of the investment, which is $900.

x * ($10 + $900/n) = $900

Simplifying the equation:

10x + 9000/n * x = 900

Multiplying both sides by n:

10nx + 9000x = 900n

Simplifying:

10nx = 900n - 9000x

Dividing both sides by 10:

nx = 90n - 900x/10

nx + 900x/10 = 90n

Simplifying:

x(n + 90) = 900

x = 900 / (n + 90)

Since the club needs to sell all but 15 of the sweatshirts, the number of sweatshirts they need to sell is:

n - 15

Therefore, the number of sweatshirts they need to sell, "x", is:

x = 900 / (n + 90)

And the price they need to sell each sweatshirt at is:

($10 + cost per sweatshirt)

= ($10 + $900/n)

Substituting the value of "x" from the previous equation, we get:

Price per sweatshirt = $10 + $900 / (n - 15)

So, to recap, the running club needs to sell (n - 15) sweatshirts at a price of $10 + $900/(n - 15) per sweatshirt to regain their $900 investment.

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Answer:

1. Not similar

2. Similar, ABC is similar to FED by SSS

Step-by-step explanation:

1. Not similar.

The interior angles of a triangle always have to add up to 180, and since the first triangle has angles 30 degrees and 90 degrees, you know the third angle will have to be 180 - 30 - 90 = 60 degrees.

The second triangle's third angle will have to be 50 degrees because 180 - 90 - 40 = 50 degrees.

Since the three angles of the triangle are not the same, they are not similar.

2. Similar, ABC is similar to FED by the SSS triangle similarity postulate.

First, AB is similar to FE because AB = 15 and FE = 5, so the scale factor is 3

Next, BC is similar to ED because BC = 9 and ED = 3, so the scale factor for these sides is also 3

Lastly, CA is similar to DF because CA = 12 and DF = 4, so the scal factor for this is also 3.

Since the scale factor for all of the sides is 3, these two triangles are similar.

Answer:

hello your question is incomplete attached below is the complete question

answer: f'(x) = -f'(-x)

Step-by-step explanation:

suppose f is differentiable even function

we will apply the definition of even function considering that f is differentiable

attached below is a detailed solution and from the solution it can be concluded that f' is odd everywhere in its domain, whenever f is even

Answer:

\(P(Atleast\ 1) = 0.9999992\)

Step-by-step explanation:

Given

\(p = 3\%\) --- rate of hard disk drives failure

\(n = 4\) --- number of hard disk drives

See comment for complete question

Required

\(P(Atleast\ 1)\)

First, calculate the probability that the none of the 4 selected is working;

\(P(none) = p^4\)

\(P(none) = (3\%)^4\)

\(P(none) = (0.03)^4\)

Using the complement rule, the probability that at least 1 is working is:

\(P(Atleast\ 1) = 1 - P(none)\)

This gives:

\(P(Atleast\ 1) = 1 - 0.03^4\)

\(P(Atleast\ 1) = 0.9999992\)

9514 1404 393

Answer:

  -25

Step-by-step explanation:

Consult your memory of multiplication tables to determine the square root of 100.

  10×10 = 100

  √100 = 10

Then multiply that value by -2.5

  -2.5×10 = -25

___

Of course, you can use a calculator or spreadsheet to evaluate this expression, too.

Question 1-

To determine which two points would a line of fit go through to best fit the data on the scatter plot, we need to visually analyze the pattern of the data points and choose two points that the line would pass through to represent the overall trend.

Without the actual scatter plot provided, I am unable to directly analyze it. However, based on the given answer choices:

A. (1,9) and (9,5)

B. (1,9) and (5,7)

C. (2,7) and (4,3)

D. (2,7) and (6,5)

Since I don't have the scatter plot, I cannot accurately determine which points would best fit the data. I would recommend carefully reviewing the scatter plot and selecting the two points that seem to represent the general trend or pattern of the data. The two points that form a line that closely follows the general direction of the data points would be the best choices.

Question 2-

To determine the slope of the relationship between the number of hours Laila danced, x, and the money she raised, y, we need to examine the graph and calculate the slope using the formula:

Slope = (change in y) / (change in x)

However, since the graph is not provided, it is not possible to directly calculate the slope. However, we can still evaluate the given answer choices based on their explanations:

A. The slope is 1/4, which means that the amount the student raised increases by $0.75 each hour.

B. The slope is 4, which means that the amount the student raised increases by $4 each hour.

C. The slope is 12, which means that the student will finish raising money after 12 hours.

D. The slope is 20, which means that the student started with $20.

From the explanations provided, it seems that option B would be the most reasonable choice. A slope of 4 would indicate that for each additional hour Laila danced, she raised $4. However, without the actual graph, it is challenging to confirm the accuracy of the answer choice or its real-world interpretation.

SOLUTION:

Step 1:

In this question, we have that the Quadrilateral ABCD will be dilated about the origin by a scale factor of 1/3 and then reflected across the y-axis:

From the graph, we can see that:

Step 2:

We need to dilate about the origin by a scale factor of 1/3, then

we have that:

Step 3 :

We need to reflect across the y-axis:

( x , y ) ------- ( -x, y )

From the graph,

a) The original polygon is in colour Red

b) The dilated image of the original polygon is in colour Blue

c) The reflection of the dilated image is in colour Green.

Answer:

c. 3/4

Step-by-step explanation:

The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.

Number of push ups Dulce can do : number of push ups Sara can do

Let

number of push ups Sara does = x

7 : 6 = 28 : x

7/6 = 28/x

cross product

7 × x = 28 × 6

7x = 168

divide both sides by 7

x = 168/7

x = 24

Therefore, Sara does 24 push ups during the gym class.

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Answer:

 A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

         A2 - AB + BA - B2 =

         A2 - AB + AB - B2 =

         A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  4  is the square of  2 

Check :  a2  is the square of  a1 

Check :  b2  is the square of  b1 

Factorization is :   (2a + b)  •  (2a - b) 

A scientist is going to measure the amount of rain we get today. Look at the table and pick the best answer that describes it. X (hours) 2 6 00 y (rain) 02 6 9 12 a Nonlinear b Ос Nonproportional Proportional Rational Od INTL 2​

Answer:

m = -2

Step-by-step explanation:

As one goes from (2, 7) to (4, 3), we note that x increases by 2 and y decreases by 4.  Thus, the slope is m = rise / run = -4/2, or -2

The slope of the line connecting these two points is -2.

Answer: x>0.27

Step-by-step explanation:

1.48+x>1.75

-1.48 -1.48

x>0.27

The probability that a student chosen randomly from the class is a male who does not have an A is 0.52

The given parameters are:

The probability that a student chosen randomly from the class is a male who does not have an A is calculated as:

P = 13/25

Evaluate

P = 0.52

Hence, the probability is 0.52

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The statement is false because the element 2 does not meet the criteria of being an integer greater than 13.

To determine if {2} is an element of the set of integers greater than 13, we need to analyze the statement.

The set of integers greater than 13 can be represented as {x | x ∈ ℤ, x > 13}. This set contains all integers that are greater than 13.

Now, let's check if the element 2 is in this set. Since 2 is not greater than 13, it does not satisfy the condition x > 13. Therefore, {2} is not an element of the set of integers greater than 13.

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Answer:

S.I=$3375

Step-by-step explanation:

S.I=PRT/100

S.I=750×15×3/100

S.I=33750/10

S.I=$3375

The common ratio of the given arithmetic sequence -4, -12, -20 is -8.

According to the given question.

We have an aritmetic sequence -4, -12, -20.

So, the first term \(a_{1}\) of the given  arithmetic sequence is -4 i.e

\(a_{1} =-4\)

The second term of the given arithmetic sequence is -12 i.e.

\(a_{2} = -12\)

As, we know that the common ratio d, of the arithmetic sequence is given by

\(d = a_{n} - a_{n-1}\)

Thereofore,

the common ratio of the given arithmetic sequence will be  

d = -12 -(-4)

⇒ d = -12+ 4

⇒ d = -8

Hence, the common ratio of the given arithmetic sequence -4, -12, -20 is -8.

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