The local hardware store has blue buckets that hold 2 gallons of water and white buckets that hold 5 gallons of water. You bought 7 buckets that can hold 26 gallons of water. How many buckets of each color were purchased?

Answer:

25 times 58

Step-by-step explanation:

guessed

Answer:

Her estimate is wrong.  If she can only fit 22 boxes in a truck and she is only using 24 trucks, she have 11 boxes left.

Step-by-step explanation:

24x22=528

539-528=11

Her estimate is wrong.  If she can only fit 22 boxes in a truck and she is only using 24 trucks, she has 11 boxes left.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that each truck can hold 22 boxes, she needs to ship 539 boxes in total. Megan thinks she can fit all 539 boxes into 24 trucks.

For 24 trucks the number of the boxes will be calculated as below:-

24x22=528

The remaining boxes are:-

539-528=11

Therefore, the estimate is wrong.  If she can only fit 22 boxes in a truck and she is only using 24 trucks, she has 11 boxes left.

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The values of a and b are 4 and -3

To solve for a, we make use of the function f(x).

x    f(x)

2     4

0     5

2     a

3     7

Remove the x values 0 and 3

x    f(x)

2     4

2     a

The above table implies that:

f(2) = 4 and f(2) = a

Substitute 4 for f(2) in f(2) = a

4 = a

Rewrite as:

a = 4

To solve for b, we make use of the function g(x).

x    g(x)

2     b

0     0

2     -3

3     -4

Remove the x values 0 and 3

x    g(x)

2     b

2     -3

The above table implies that:

f(2) = b and f(2) = -3

Substitute -3 for f(2) in f(2) = b

-3 = b

Rewrite as:

b = -3

Hence, the values of a and b are 4 and -3

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Complete question

Use the Symmetry of a Function to Find Coordinates

f is an even function             g is an odd function

x    f(x)                                        x             g(x)

2     4                                          2              b

0     5                                          0              0

2     a                                          2              -3

3     7                                          3              -4

Find a and b

Answer:

4, 3

Step-by-step explanation:

Thus, to determine whether Intel's stock and Southwest Airlines' stock have similar rates of return, we can use a statistical analysis of the daily rate of return for each stock over a 50-day period. However, the small sample size means that we must be cautious when interpreting the results.

To determine whether Intel's stock and Southwest Airlines' stock have similar rates of return, we can conduct a statistical analysis using the sample data collected. The sample size of 50 days is relatively small, so we must be cautious when interpreting the results.

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The measurement of one of the two shorter sides in Monica's wrapping is 28 2/3 inches. By the definition of a rectangle, the value is evaluated.

A rectangle has four sides with opposite sides equal in length and parallel to each other. All four angles are right angles and the diagonals bisect each other and are equal in length.

It is given that,

Francisco had a rectangular piece of wrapping paper that was 14 1/3 inches on two sides and 19 inches on the longer sides.

So, the measure of the longer side of the rectangle = 19 inches

And the measure of the shorter side of the rectangle = 14 1/3 inches

Monica has a similar piece of paper with two longer sides that each measure 38 inches.

On comparing with Francisco's paper, Monica's paper is twice in measurements.

The measure of the longer side of Monica's paper is 38 = 2 × 19 inches i.e., 2 × the measure of the longer side of Francisco's paper (19 inches).

Similarly, the measure of the shorter side of Monica's paper = 2 × measure of the shorter side of Francisco's paper.

⇒ 2 × 14 1/3 = 2 × 43/3 = 86/3 = 28 2/3 inches.

Therefore, the measurement of one of the two shorter sides in Monica's wrapping paper is 28 2/3 inches.

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Translation, rotation, and reflection are three of the fundamental transformations.

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Tina's kitchen has an area of 44.5925 \(m^{2}\) and it will cost her $2,520 to buy 45 square meters of flooring.

a) To work out the area of Tina's kitchen, we need to multiply the length by the width:

925 cm * 485 cm = 445,925 \(cm^{2}\)

We can convert this to square meters by dividing it by 10,000:

445,925 \(cm^{2}\) / 10,000 = 44.5925 \(m^{2}\)

To use estimation to check the answer, we can round both the length and the width to the nearest 10 cm:

925 cm ≈ 930 cm and 485 cm ≈ 480 cm

So, the kitchen's area would be approximately:

930 cm * 480 cm = 448,000 \(cm^{2}\)

And converting this to square meters:

448,000 \(cm^{2}\) / 10,000 = 44.8 \(m^{2}\)

So our answer of 44.5925 \(m^{2}\) is close to the estimate of 44.8 \(m^{2}\).

b) To find out how much Tina has to pay for flooring, we multiply the area by the cost per square meter:

44.5925 \(m^{2}\) * $56/\(m^{2}\) = $2,505.02

However, flooring is only sold in whole numbers of square meters, so Tina will have to round up to the nearest square meter:

45 \(m^{2}\) * $56/\(m^{2}\) = $2,520

To check this answer using inverse operations, we can divide the total cost by the cost per square meter:

$2,520 / $56/\(m^{2}\) = 45 \(m^{2}\)

So Tina pays $2,520 for 45 square meters of flooring.

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The probability that the waiter will earn less than $450 in tips when he waits on 40 parties is 0.2364. This means that there is a 23.64% chance that the waiter will make less than $450 in tips.

The probability that the waiter will earn less than $450 in tips when he waits on 40 parties can be calculated using the binomial distribution. The binomial distribution is used to calculate the probability of success in a series of independent events. In this case, the probability of success is the probability that the waiter will earn less than $450 in tips.The number of independent events, or trials, is 40, since the waiter will serve 40 parties. The probability of success for each trial is the expected average tip amount divided by the total amount of tips the waiter is trying to earn. The expected average tip amount is $11, and the total amount of tips the waiter is trying to earn is $450, so the probability of success for each trial is 0.024.Using the binomial distribution formula, the probability that the waiter will earn less than $450 in tips when he waits on 40 parties is 0.2364. This means that there is a 23.64% chance that the waiter will make less than $450 in tips.

\(p = (n! / (x! * (n-x)!) * p^x * (1-p)^(n-x))\)

where

n = 40 (number of parties)

x = 450 (desired tip amount)

p = 0.1 (probability of earning a tip of $10)

p = (40! / (450! * (40-450)!) * 0.1^450 * (1-0.1)^(40-450))

p = 0.2364

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Answer:

86

Step-by-step explanation:

43 x 2=86

where is it? but sure

Answer:

x = 14, BC = 27, CD = 61, BD = 88

Step-by-step explanation:

Step-by-step explanation:

Hey there!

Given;

The points are; (-4,4) and (5,-1).

Use formula for midpoint are;

\(midpoint(x,y) = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )\)

Put all values.

\((x,y) = (\frac{ - 4 + 5}{2} , \frac{4 - 1}{2} )\)

Simplify it.

\((x,y) = ( \frac{1}{2} ,\frac{3}{2} )\)

Therefore, midpoint is (1/2,3/2).

Hope it helps..

Answer:

300 euros

Step-by-step explanation:

1200 x 5 x 5=30000/100=300

Answer:

£1531.53

Step-by-step explanation:

Times 1200 by 1.05 then times the new answer by 1.05 until done 5 times

The expected value per ticket from the standpoint of the charity is $0.27.

The expected value represents the average amount that the charity earns by selling one ticket. In this case, the charity plans to sell 1100 tickets at a cost of $1.00 each, resulting in a total revenue of $1100.00. Since there is only one prize worth $400.00, the charity's net earnings will be $700.00 ($1100.00 - $400.00) if all the tickets are sold.

To calculate the expected value per ticket, we divide the net earnings by the number of tickets sold, which is $0.64 ($700.00 / 1100). Rounded to the nearest cent, the expected value per ticket is $0.27.

The expected value is a useful concept for assessing the potential outcomes of an event. In this context, it helps the charity estimate the average amount they can expect to earn per ticket sold. It is important to note that the expected value is not necessarily the actual amount that will be earned from each ticket, as individual outcomes can vary. However, it provides a baseline estimate based on probabilities and can help the charity make informed decisions about their fundraising efforts.

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Rigion whose area is equal to given limit is tan(x) on [0, π/6]

A more detailed explanation of the answer.

To determine a region whose area is equal to the given limit, we can use the concept of Riemann sums and integration. The given limit is:

lim n → ∞ ∑ (i = 1 to n) (6n * tan(i/6n))

This limit represents the sum of areas of n rectangles, each with width 6n and height tan(i/6n), as n approaches infinity. This is equivalent to the integral of a continuous function over a certain interval.

In this case, the continuous function is tan(x), and the interval can be found by examining the terms provided. Since the width of each rectangle is 6n and the height is tan(i/6n), we can find the interval by determining the limits of x as n approaches infinity:

Lower limit: x = i/6n when i = 1
Upper limit: x = i/6n when i = n

As n approaches infinity, the lower limit approaches 0 and the upper limit approaches 1/6.

So, the interval is [0, π/6]. Now, we just need to match this with one of the given choices. The correct choice is:

tan(x) on [0, π/6]

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Answer: 19 coins

Step-by-step explanation:

38-19=19

To check, take any one of the nubers and replace it with x, and when you solve for x. you'll get that number back. For example:

Let x represent the amount used to buy a notebook

19+x=38

x=38-19

x=19

Answer:

-7xy

Step-by-step explanation:

Answer:

C) The change in expected quiz score for every additional one hour students spend on their homework

Step-by-step explanation:

The average rate of change of the function at the interval is -8

The table that completes the question is added as an attachment

From the table, we have:

f(5) = -26

f(3) = -10

The average rate is then calculated as:

Rate = (f(5) - f(3))/(5 -3)

This gives

Rate = (-26 + 10)/(5 -3)

Evaluate

Rate = -8

Hence, the average rate of change of the function is -8

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Let us begin by defining arc measure

Arc measure is a degree measurement, equal to the central angle that forms the intercepted arc.

From the given diagram, we can determine that:

measure of arc DC = 100 degrees

Answer: 100 degrees

The most common error when entering a formula is to reference the wrong cell in the formula.

This error occurs when the cell references within a formula do not match the intended cells. It can lead to incorrect calculations and produce unexpected results. For example, if a formula is supposed to use data from cell A1 but mistakenly refers to cell B1, the calculation will be based on the wrong data. It is important to double-check and ensure that the cell references in a formula accurately reflect the intended data sources to avoid this common mistake.

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To find a basis b for the set of vectors where the sum of the first and last coordinates is 0, we need to first write out the set of vectors in the form {[a] | {[b]€R⁴|a+d=0

where d is the difference between the first and last coordinates of the vector.

Let's call the first coordinate of the vector x, the second coordinate y, the third coordinate z, and the fourth coordinate w.

Then we have: d = x - w And we want d to be equal to 0, so we can set x = w.

Now our set of vectors looks like {[a] | {[b]€R⁴|a+x-w=0}. We can rewrite this as {[a] | {[b]€R⁴|a = w[-1 0 0 1]b}}.

This means that any vector in our set can be written as a linear combination of the vector w[-1 0 0 1] and a vector in the span of the standard basis vectors for R⁴.

So our basis b for this set of vectors is {[1 0 0 -1], [0 1 0 0], [0 0 1 0], [0 0 0 1]}. To check that this is indeed a basis, we need to show that the vectors are linearly independent and span the set.

Linear independence: Let's assume that a linear combination of our basis vectors is equal to 0: c₁[1 0 0 -1] + c₂[0 1 0 0] + c₃[0 0 1 0] + c₄[0 0 0 1] = [0 0 0 0]

This gives us the system of equations: c₁ = 0 c₂ = 0 c₃ = 0 -c₁ = 0

The only solution to this system is c₁ = c₂ = c₃ = c₄ = 0, so our vectors are linearly independent.

Span: Any vector in our set can be written as a linear combination of the basis vectors: [a₁ a₂ a₃ a₄] = (a₁ - a₄)[1 0 0 -1] + a₂[0 1 0 0] + a₃[0 0 1 0] + a₄[0 0 0 1]

So our basis vectors do indeed span the set. Therefore, our basis b for the set of vectors where the sum of the first and last coordinates is 0 is {[1 0 0 -1], [0 1 0 0], [0 0 1 0], [0 0 0 1]}.

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a) y= -6x+1

1) Perpendicular Lines have a reciprocal and opposite slope considering the original function: -1/m

So the slope of that perpendicular line is m = -6

2) Examining the options, let's rewrite them into the slope-intercept form

a) y=-6x +1

b)y=1/6x +42

c) y=-x/6-6

d) -y=-1/6x+4/3

3) So the answer is a) y= -6x+1

Answer:

C

Step-by-step explanation:

process of elimination

Polynomials form a system like to that of integers hence they are closed under the operations of addition and subtraction.

Exponents of polynomials are whole numbers.

Hence the resultant exponents will be whole numbers , addition is closed for whole numbers. As a result, polynomials are closed under addition.

If an operation results in the production of another polynomial, the resulting polynomials will be closed.

The outcome of subtracting two polynomials is a polynomial. They are also closed under subtraction as a result.

The word polynomial is a Greek word. We can refer to a polynomial as having many terms because poly means many and nominal means terms. This article will teach us about polynomial expressions, polynomial types, polynomial degrees, and polynomial properties.

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The approximate values of the non-integral roots of the polynomial equation are -5.57, -1.95, 0.21, 1.27, and 4.73. These values represent the values at which the polynomial equation evaluates to zero, indicating the roots of the equation.

To find the roots of a polynomial equation, we set the equation equal to zero and solve for the unknown variable. In this case, we have a polynomial equation with non-integral roots.

To obtain the approximate values of these roots, numerical methods such as iterative methods or numerical approximation techniques can be used. These methods involve making educated guesses and refining the guesses until the equation evaluates to zero.

The resulting approximate values for the non-integral roots of the polynomial equation are -5.57, -1.95, 0.21, 1.27, and 4.73. These values are not exact, but they are close approximations to the actual roots of the equation.

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Answer: 27.5 units^2

Step-by-step explanation:

The formula to find the area of a triangle is Area = 1/2 x Base x Height

The base of the triangle is 11 since it starts at 2 and ends at 13

The height of the triangle is 5 since it starts at 4 and ends at 9

so plugging in base and height to the formula

A = 1/2 x 11 x 5

A = 1/2 x 55

A = 27.5

Answer:

range= 10

median= 5

mode= 3

Variance= 11 (rounded) normal answer without rounding 10.809524

Midrange= 6