Ms. Griffith took a cab ride which cost $16. She gave the driver $20 and said, "keep the change." What percent did Ms. Griffith tip the driver?

Answers

Answer 1

Answer:

25%

Step-by-step explanation:

Given data

Cost of ride= $16

Amount paid= $20

Change= $4

Hence the percent of the tip is

=4/16*100

=0.25*100

=25%

Hence the percentage of the tip is 25%


Related Questions

Assume that you have decided to hedge future payables that are coming from your country of choice to a US MNC. How would the US MNC hedge these payables? Please go through the specific steps required to hedge for 1 million dollars of payables. Please use numbers. There is more than one way to hedge. You only need to choose one to go through, however, I would like you to describe the other methods

Answers

The US MNC hedge these payables by exchange currencies at a predetermined exchange rate and date in the future.

One way that the US MNC can hedge these payables is by using a forward contract. A forward contract is a customized agreement between two parties to buy or sell an asset at a specified price and date in the future.

Another way that the US MNC could hedge its payables is by using currency options. Currency options are contracts that give the buyer the right but not the obligation.

The buyer pays a premium to the seller of the option for this right. In this case, the US MNC could purchase a currency option to sell 1 million dollars at a fixed exchange rate in the future, protecting itself from unfavorable currency fluctuations.

A third way that the US MNC could hedge its payables is by using currency futures. Currency futures are similar to forward contracts but are standardized and traded on exchanges.

The buyer agrees to purchase or sell a specific amount of currency at a predetermined price and date in the future. In this case, the US MNC could purchase a currency futures contract to sell 1 million dollars at a fixed exchange rate in the future, protecting itself from unfavorable currency fluctuations.

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The sum Joyce age and her brother age is 24 her brothers age is three years older than twice joys age what is the difference in years between Joyce age and her brothers age

Answers

Answer:

Difference between Joyce's and her brothers age is 10 years.

Step-by-step explanation:

Let,

x be the age of Joyce

y be the age of her brother

According to given statement;

x+y=24       Eqn 1

y = 2x+3    Eqn 2

Putting value of y from Eqn 2 in Eqn 1

x+2x+3=24

3x=24-3

3x=21

Dividing both sides by 3

\(\frac{3x}{3}=\frac{21}{3}\\x=7\)

Putting x=7 in Eqn 2

y = 2(7) + 3

y = 14+3

y = 17

Difference = 17 - 7 = 10 years

Hence,

Difference between Joyce's and her brothers age is 10 years.

This table shows the number of girls enrolled in school by class. If a student is chosen, which is the probability that a senior will be chosen?


freshman: 165

sophomore: 145

junior: 114

senior: 102

Answers

we need to multiply this number by 100 to get the  as a percentage:

0.1806 * 100 = 18.06%

The probability of choosing a senior can be calculated using the formula:

P(senior) = (102/562) * 100

P(senior) = 18.06%

This means that there is an 18.06% chance of choosing a senior if a student is randomly selected from the school.

First, we need to calculate the total number of students in the school by adding together the number of students in each class:

Total = 165 + 145 + 114 + 102 = 562

Next, we need to calculate the probability of choosing a senior by taking the number of seniors enrolled in the school (102) and dividing it by the total number of students in the school (562).

102/562 = 0.1806

Finally, we need to multiply this number by 100 to get the probability as a percentage:

0.1806 * 100 = 18.06%

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Write the equation of the line perpendicular to y=1/3x+65 through the point (7,6)

Write the equation of the line perpendicular to y=-2/3x+65 through the point (-8,1)

Answers

The equation of the line perpendicular to y = (1/3)x + 65 through the point (7, 6) is y = -3x + 27. The equation of the line perpendicular to y = (-2/3)x + 65 through the point (-8, 1) is y = (3/2)x + 13.

To find the equation of a line perpendicular to a given line, we need to determine the slope of the perpendicular line.

For the line given by the equation y = (1/3)x + 65, the slope is 1/3.

To find the slope of the perpendicular line, we take the negative reciprocal of the original slope. So, the slope of the perpendicular line is -3/1 or -3.

Using the point-slope form of the equation of a line, we can write the equation of the line perpendicular to y = (1/3)x + 65 through the point (7, 6) as follows:

y - y1 = m(x - x1)

where (x1, y1) = (7, 6) and m = -3. Plugging in the values, we get:

y - 6 = -3(x - 7)

Expanding and simplifying, we have:

y - 6 = -3x + 21

Moving terms around, we get the final equation:

y = -3x + 27

Therefore, the equation of the line perpendicular to y = (1/3)x + 65 through the point (7, 6) is y = -3x + 27.

Now, let's find the equation of the line perpendicular to y = (-2/3)x + 65 through the point (-8, 1).

The given line has a slope of -2/3. The perpendicular line will have a slope that is the negative reciprocal of -2/3, which is 3/2.

Using the point-slope form, we can write the equation of the line perpendicular to y = (-2/3)x + 65 through the point (-8, 1):

y - y1 = m(x - x1)

where (x1, y1) = (-8, 1) and m = 3/2. Substituting the values, we have:

y - 1 = (3/2)(x - (-8))

Simplifying further:

y - 1 = (3/2)(x + 8)

Expanding and rearranging:

y - 1 = (3/2)x + 12

Moving terms around, we get:

y = (3/2)x + 13

Thus, the equation of the line perpendicular to y = (-2/3)x + 65 through the point (-8, 1) is y = (3/2)x + 13.

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The fishmonger sold 40 codfish at 10 shillings each, 59 salmon at 30 shillings each, and 1 grouper for 300 shillings. What was the average price paid per fish?​

Answers

The total cost of the 40 codfish is 40 * 10 = 400 shillings.

The total cost of the 59 salmon is 59 * 30 = 1770 shillings.

The total cost of the 1 grouper is 300 shillings.

The total number of fish sold is 40 + 59 + 1 = 100.

The total cost of all the fish is 400 + 1770 + 300 = 2470 shillings.

Therefore, the average price paid per fish is 2470 / 100 = 24.7 shillings.

To find the average price paid per fish, we need to calculate the total cost of all the fish and divide it by the total number of fish sold. The total cost is obtained by multiplying the quantity of each type of fish sold by its price and then summing up the individual costs.

In this case, we have sold 40 codfish at 10 shillings each, which gives a total cost of 400 shillings, 59 salmon at 30 shillings each, which gives a total cost of 1770 shillings, and 1 grouper for 300 shillings. Adding up these costs gives a total cost of 2470 shillings.

Dividing this by the total number of fish sold (100) gives us the average price paid per fish, which is 24.7 shillings.

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Which property is this 16 + (c+ 17) = (16 + c) + 17

Answers

Associative property (associative laws)

The vertices of Triangle FGH are F(-4, -5), G(-3, -2), and H(-1, -3). What are F’G’H’ for a dilation by scale factor of 1/2?

Answers

The coordinates of the triangle FGH after dilating by 1/2 is F'(-2, -5/2), G'(-3/2, -1), and H'(-1/2, -3/2)

How to determine the coordinates of FGH after the dilation?

From the question, the given parameters are the vertices of Triangle FGH

The vertices are represented as

F(-4, -5), G(-3, -2), and H(-1, -3).

Also, from the question, we have

The scale factor of dilation is

k = 1/2

The above implies that

k represents the scale factor of dilation

The coordinates after the dilation is calculated as

Image of dilation = Vertices of the triangle x Scale factor

Substitute the known values in the above equation

So, we have

Image of dilation = [F(-4, -5), G(-3, -2), and H(-1, -3)] x 1/2

Evaluate the products

So, we have

Image of dilation = F'(-2, -5/2), G'(-3/2, -1), and H'(-1/2, -3/2)

Hence, the image after the dilation is F'(-2, -5/2), G'(-3/2, -1), and H'(-1/2, -3/2)

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What is the solution to the following system of equations
4x+2y=6
X-y=3

What is the solution to the following system of equations4x+2y=6X-y=3

Answers

Answer:

The solution of the equation 4x + 2y = 6 and x − y = 3 will be D. (2, –1)

Step-by-step explanation:

4x + 2y = 6 ....… (1)

x − y = 3 …..... (2)

Example, for equation 2 is:

x - y = 3

x = 3 + y

Put in equation 1:

4(y + 3) + 2y = 6

4y + 12 + 2y = 6

6y = -6

y = -6/6

y = -1

We have the value of y, then the value of x will be:

x = 3 + y

= 3 + (-1)

= 3 - 1

= 2

So, the solution of the equation 4x + 2y = 6 and x − y = 3 will be (2, –1)

Which of the following is not a condition to check when doing a​two-sample z-test of​ proportions?
A.
The samples are independent of each other and independent within samples
B.
The sample are random
C.
The samples are sufficiently large
D.
All of the above conditions are important conditions to check

Answers

Option D is not a condition to check when doing a two-sample z-test of proportions.

The correct option is D. All of the above conditions are important conditions to check when doing a two-sample z-test of proportions.

The two-sample z-test of proportions is a statistical test that is used to compare the proportion of two populations.

This statistical test helps in determining whether or not there is a significant difference between the two proportions.

The following are the conditions to check when doing a two-sample z-test of proportions:The samples are independent of each other and independent within samples.

The sample is random.

The samples are sufficiently large.

Therefore, the given statement "All of the above conditions are important conditions to check when doing a two-sample z-test of proportions" is correct.

In conclusion, option D is not a condition to check when doing a two-sample z-test of proportions.

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Given -2 -2 -1 0 -4 -6 2 1 -2 -3 HE 1 0 -2 0 1 4 0 0 0 4 0 -1 use the reduced row echelon form above to solve the system = -2x - 2y - 4z -6 -x + 2z 1 - x - y - 2z = -3 If necessary, parametrize your answer using the free variables of the system. x 11- у = AN

Answers

To solve the given system of equations using the reduced row echelon form, we will write the augmented matrix corresponding to the system and perform row operations to obtain the reduced row echelon form.

Answer :  x = t, y = 3/2 - t ,z = s

The augmented matrix for the system is:

[ -2  -2  -4  -6  | -3 ]

[ -1   0   2   1  |  0 ]

[ -2  -3   1   0  |  4 ]

[  0   0   4   0  | -1 ]

Using row operations, we can transform this matrix into reduced row echelon form:

1. Replace R2 with R2 + 2R1:

[ -2  -2  -4  -6  | -3 ]

[  0  -2  -2  -4  | -3 ]

[ -2  -3   1   0  |  4 ]

[  0   0   4   0  | -1 ]

2. Replace R3 with R3 + 2R1:

[ -2  -2  -4  -6  | -3 ]

[  0  -2  -2  -4  | -3 ]

[  0  -7  -7 -12  |  5 ]

[  0   0   4   0  | -1 ]

3. Replace R2 with R2/(-2):

[ -2  -2  -4  -6  | -3 ]

[  0   1   1   2  |  3/2 ]

[  0  -7  -7 -12  |  5 ]

[  0   0   4    0 | -1 ]

4. Replace R3 with R3 + 7R2:

[ -2  -2  -4  -6  | -3 ]

[  0   1   1   2  |  3/2 ]

[  0   0   0 -5   |  34/2 ]

[  0   0   4   0  | -1 ]

5. Replace R4 with R4 - (4/5)R3:

[ -2  -2  -4  -6  | -3 ]

[  0   1   1   2  |  3/2 ]

[  0   0   0 -5   |  34/2 ]

[  0   0   0   0  | -49/10 ]

Now, the matrix is in reduced row echelon form. Let's interpret it back as a system of equations:

-2x - 2y - 4z = -3

    y +  z =  3/2

             0 =  34/2

             0 = -49/10

The last two rows indicate that 0 = 34/2 and 0 = -49/10, which are contradictory statements. This means that the system is inconsistent, and there is no solution that satisfies all three equations simultaneously.

Therefore, there are no values of x, y, and z that satisfy the system of equations.

If we parametrize our answer using the free variables of the system, we have:

x = t

y = 3/2 - t

z = s

Where t and s are arbitrary parameters.

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BRAINLIEST!!!!! BRAINIEST!!!!! BRAINLIEST !!!!!! HELP PLZZ !!!!

BRAINLIEST!!!!! BRAINIEST!!!!! BRAINLIEST !!!!!! HELP PLZZ !!!!

Answers

Answer: (C)

Step-by-step explanation:

Looking at the diagram the area occurring continuously over a period of time is the constant point which ranges from -4 to -2 making the answer C

Answer:

Answer: (C)

Explanaton:

By definition: A function is constant, if for any x1 and x2 in the interval, f (x1) = f (x2). Example: The graph shown above is constant from the point (-2,1) to the point (1,1), described as constant when -2 < x < 1. The y-values of all points in this interval are "one".

Check for the image below

Mark it brainliest please!!!!

BRAINLIEST!!!!! BRAINIEST!!!!! BRAINLIEST !!!!!! HELP PLZZ !!!!

Q10.
ABC is a right-angled triangle.
А
11 cm
B
7 cm
C
(a) Work out the size of angle ABC.
Give your answer correct to 1 decimal place.

Answers

Answer:

\(B = 50.5^\circ\)

Step-by-step explanation:

Given

\(AB = 11\)

\(BC = 7\)

See attachment

Required

Determine \(\angle ABC\)

\(\angle ABC\) implies that we calculate the angle at B.

Given that:

\(AB = 11\) --- Hypotenuse

\(BC = 7\) --- Adjacent of B

We apply cosine formula

\(\cos(B) = \frac{Adjacent}{Hypotenuse}\)

\(\cos(B) = \frac{BC}{AB}\)

\(\cos(B) = \frac{7}{11}\)

\(\cos(B) = 0.6364\)

Take arccos of both sides

\(B = cos^{-1}(0.6364)\)

\(B = 50.5^\circ\)

Q10.ABC is a right-angled triangle.11 cmB7 cmC(a) Work out the size of angle ABC.Give your answer correct

What is the slope of the line graph shown below?

What is the slope of the line graph shown below?

Answers

Answer:

5/3

Step-by-step explanation:

Between the two points, the line goes up 5 points and to the right 3 points. The slope is rise over run, so in this case the rise is 5 and the run is 3.

This makes our slope:

5/3

Jaon went hopping
He bought a watch and a pair of trainer for a total price of £53. 55
Thi price include a 15% loyalty dicount
Before the dicount, the trainer were priced at £38
Work out the price of the watch before the dicount

Answers

The price of the watch before the discount is calculated to be £24.44.

As the total price of the watch and a pair of trainers is £53. 55 and the price of the trainer before the discount was £38, we first calculate the price of the trainers after the discount as follows;

discount on a pair of trainers = 15/100 × 38 =  £5.7

cost of trainers after discount =  £38 - 5.7 =  £32.3

Now the price of the watch after the discount can be calculated by subtraction as follows;

price of watch after discount = total price - price of trainers after discount

price of watch after discount =  £53. 55 - £32.3

price of watch after discount = £21.25

Now the price of the watch before the discount can be calculated as follows;

price of watch before discount = £21.25 × 15/100

price of watch before discount = £21.25 + £3.1875

price of watch before discount = £24.44

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Write an equation that has - 29 for a solution. Show how you know that - 29 is a solution.

Answers

The value of the equation is x + y = -29 , where x = -15 and y = -14

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

x + y = -29   be equation (1)

when x = -15

Substitute the value of x in the equation , we get

-15 + y = -29

Adding 15 on both sides of the equation , we get

y = -29 + 15

y = -14

Therefore , the value of x and y is -15 and -14 respectively

Hence , the equation is x + y = -29

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You have reached the right row of shelves to find a book with the call number GT2853 A515 A48 2012. Which specific shelf would contain your book

Answers

Based on the call number GT2853 A515 A48 2012, your book would be located on the shelf that is labeled with the letters "GT" which typically corresponds to the subject area of anthropology.

Within the GT section, you would then look for the number range of 2853, followed by the letters A515, which further narrow down the subject matter of your book. Finally, the letters A48 indicate the author's last name, and the publication year of 2012 helps to differentiate any other books with similar call numbers. So, the specific shelf that would contain your book would be the one labeled with "GT 2853 A515."

To locate the book with the call number GT2853 A515 A48 2012, follow these steps:

1. Look for the shelves labeled with "GT" (the alphabetical portion of the call number).
2. Within the "GT" section, search for the numeric range that includes "2853" (the first number in the call number).
3. Once you've found the 2853 section, look for the "A515" subsection (the second part of the call number, usually in alphabetical and numerical order).
4. Lastly, locate the specific shelf containing "A48 2012" (the third part of the call number). This will lead you to the book you are looking for.

By following these steps, you will find the specific shelf that contains your book with the call number GT2853 A515 A48 2012.

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A theater has 1,464 seats. The seats are arranged into 62 ​equal-sized "regular" sections plus one​ "premium" front-row section. How many seats are in a regular​ section? How many seats are in the premium​ front-row section? Explain.

Answers

In the theater, that have 1,464 seats.

1426 seats are in "regular" sections

38 seats are  "premium" front-row section

How to find the number of seats in the "regular" sections

The seat arrangement is solved by division. In this case the 62 equal spaced is the divisor while the number of seats is the in each row is the quotient

The division is as follows

1464 / 62

= 23 19/31

The number of seats in the regular section is 23 * 62 = 1426

The remainder will be arranged in premium front row

using equivalent fractions

19 / 31 = 38 / 62

the remainder is 38 and this is the seat for the premium front row section

OR 1464 - 1426 = 38 seats

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Felicia opens a chequing account that charges a monthly maintenance fee of $10.75. She starts her account by depositing $500 at the start of January. At the end of March, how much money will she have in her account? Assume that she does not make any deposits or withdrawals over this time period.

Answers

Answer:

467.65

Step-by-step explanation:

467.75

Because 10.75+10.75+10.75 is = 32.25

500-32.25=467.5

Which choices are equivalent to the expression below? check all that apply. 2x+3x+4x
A. 9x
B. (2+3+4)x
C. 9
D. (9)^(3) or 9x to the third power

Answers

Answer:

A. 9x

B. ( 2 + 3 + 4 ) x

Step-by-step explanation:

2x + 3x + 4x = 9x

2x + 3x + 4x

= ( 2 + 3 + 4 ) x

What is the equation of a line that has a slope of 4/5 and passes through the point (-2,4)?

Answers

Answer:

y = \(\frac{4}{5}\)x + 5\(\frac{3}{5}\)

Step-by-step explanation:

Let's do it in slope-intercept form, it will look like this:

m = slope

b = y -intercept

To find our equation we will plug in the slope, plug in the point given, and solve for b.

y = mx + b

y = \(\frac{4}{5}\)x + b

4 = \(\frac{4}{5}\)(-2) + b

4 = \(-\frac{8}{5}\) + b

5\(\frac{3}{5}\) = b

Plug the b into our original equation, and there is our answer!

y = \(\frac{4}{5}\)x + 5\(\frac{3}{5}\)

3 4. What is the slope of the line that passes through (-2, 1) and (8,5)? ​

Answers

Answer: 2/5

Explanation: Ask if you want an explanation!

Answer:    slope = ²/₅

Step-by-step explanation:      

      The question gives us two points, (-2, 1) and (8,5), from which we can find the slope and later the equation of the line.

Finding the Slope

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)      

                                          =  (5 - 1) ÷ (8 - (-2))    

                                          =   ⁴/₁₀

                                          = ²/₅  

Checking my answer:

We can check to see if the answer is correct by drawing the line and seeing if it passes through both points. If it does, then the slope is correct.

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:

                                ⇒  y - 1 =  ²/₅ (x + 2)

                                       

In the graph below (created using Desmos), the line passes through both points. This suggests that we calculated the slope correctly.

3 4. What is the slope of the line that passes through (-2, 1) and (8,5)?

You are interested in understanding the factors that affect the probability that women with young children work. So you estimate the following linear probability model: work = Bo + Binum_children +u You collect a sample of 10,000 women in childbearing age and estimate the regression equation shown below (standard errors for each coefficient are shown in parenthesis underneath the corresponding coefficient). work = 0.2 -0.01num_children (0.5) (0.02) Follow these steps to test the null hypothesis that one additional young child decreases the probability that the mother works by 3 percentage points. (Be careful with the units here! You need to remember what rect way to interpret coefficients in a linear probability del so that you state the null hypothesis correctly. 1. Calculate the t-statistic associated with this null hypothesis. Round your answer to two decimal places.

Answers

The estimated regression equation suggests that one additional young child decreases the probability that the mother works by 1 percentage point (coefficient: -0.01). Therefore, the null hypothesis states that one additional young child decreases the probability that the mother works by 3 percentage points.

What is the t-statistic associated with the null hypothesis?

To calculate the t-statistic for testing the null hypothesis, we need to compare the estimated coefficient (-0.01) with its standard error (0.02). The formula for the t-statistic is given by t = (coefficient - hypothesized value) / standard error.

In this case, the hypothesized value is -0.03 (3 percentage points decrease). Plugging the values into the formula, we have t = (-0.01 - (-0.03)) / 0.02 = 0.02 / 0.02 = 1.Therefore, the t-statistic associated with the null hypothesis that one additional young child decreases the probability that the mother works by 3 percentage points is 1.

The estimated regression equation suggests that one additional young child decreases the probability that the mother works by 1 percentage point. To test the null hypothesis that one additional young child decreases the probability by 3 percentage points, we calculate the t-statistic. The t-statistic compares the difference between the estimated coefficient and the hypothesized value (3 percentage points) relative to the standard error of the coefficient. In this case, the t-statistic is calculated to be 1.

A t-statistic of 1 indicates that the estimated coefficient is one standard error away from the hypothesized value. In statistical hypothesis testing, we compare the t-statistic to critical values based on the significance level to determine whether the null hypothesis can be rejected or not. If the calculated t-statistic exceeds the critical value, we can reject the null hypothesis.

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a sequence is ---select--- sequence when the first differences are all the same nonzero number.

Answers

A sequence is arithmetic sequence when the first differences are all the same non-zero number.

An arithmetic sequence is a set of integers where each term is created by multiplying the preceding term by a defined number. The common difference of the series, which is a constant value, is the same for all following pairs of terms.

As a result, a sequence can be said to be arithmetic if its first differences all contain the same non-zero value. For instance, the arithmetic sequence 3, 6, 9, 12, 15,... has a common difference of 3.

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A multiple-choice quiz contains 5 questions. Each question has answer choices labeled a, b, c, and d.
How many different ways can a student answer the five questions?

Answers

A multiple-choice quiz contains 5 questions. Each question has answer choices labeled a, b, c, and d. There are 256 different ways can a student answer the five questions.

Permutation and Combination:

Permutations and combinations form counting principles, which are applied in many different situations. A permutation is the number of different arrangements that can be made from a given set. When it comes to permutations, the details matter because the order or order matters. The three country names are spelled differently: {US, Brazil, Australia} or {Australia, US, Brazil) or {Brazil, Australia, US}, and the order in which the country names appear is important. In combination, the names of the three countries are just one group, and the order or sequence does not matter.

When asked how many ways an object can be combined, dispersed, mixed or split, in this case the answer is to use the counting method to calculate the number of ways.

In this case, DDDD can be answered from AAAA, AAAB, AAAC, AAAD, AABA, AABB, ..., CADB. To calculate that number, we have to consider that for every possible answer to one question, there are four alternatives to the other question. So for the 4 choices for question 1, there are 4 choices for question 2, and for each question 3, and so on.

Therefore, the answer is 4*4*4*4 = 256 questions.

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I mode
Simplify the expression.
2(8 + 24) = 23 x 4
X
X
ngles.
How do you simplify this?

Answers

Answer:

okay so IM not 100 percent sure but I think its 64 = 92

Gabrielle buys the Cantaloupes for 7$. How many could Shayna buy if she has 21$. 49$.

Answers

Answer:

She can buy 3 cantaloupsssss pls mark brainlest its right

Step-by-step explanation:

A line passes through the following points: (0, 6) and (2, 10) Find the slope

Answers

Answer:

y2-y1/x2-x1

(10-2)/(2-0)

8/2

slope is 4

okay so your slope is 2

A cookie jar starts off with 32 cookies in it, and
each day 2 cookies are eaten. After a certain
number of days, there are 14 cookies left in the jar.
Which of the following equations represents the
day, d, when there are 14 cookies in the jar?

Answers

Answer:

9 days

Step-by-step explanation:

32-2-2-2-2-2-2-2-2-2 = 14

The equation that represents the day, d, when there are 14 cookies in the jar will be 14 = 32 - 2d, and that day will be on the 9th day.

What is the equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

As per the given,

Initial cookie = 32

Since each day 2 cookies are eaten so after "d" days the total eaten cookies will be 2d.

Remaining cookies = initial cookies - eaten cookies

Remaining cookies  = 32 - 2d

The day when 14 cookies remain will be,

14 = 32 - 2d

2d = 32 - 14

d = 9

Hence "The equation that represents the day, d, when there are 14 cookies in the jar will be 14 = 32 - 2d, and that day will be on the 9th day".

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I. How many ways can five basketball players be placed in three positions?


15

60

120

Answers

There are 60 ways to place five basketball players in three positions. Concept of permutation is used to solve this question.


To find the number of ways, we can use the concept of permutations.

In this case, we have five players and three positions. Since each position can only be occupied by one player, we need to find the number of permutations of five players taken three at a time.

The formula to find the number of permutations is \(P(n, r) = n! / (n - r)!.\)

Using this formula, we can calculate the number of ways as follows:

\(P(5, 3) = 5! / (5 - 3)!\)
= \(5! / 2!\)
= \((5 x 4 x 3 x 2 x 1) / (2 x 1)\)
= 120 / 2
= 60.

Therefore, there are 60 ways to place five basketball players in three positions.

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Find the value of x.

Find the value of x.

Answers

Answer:

81 degrees

Step-by-step explanation:

Step-by-step explanation:

Here,

X+128+100+51=360

X+279=360

X=360-279

:.x=81

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