Final answer:
To determine the ways to receive change for a ten-dollar bill when you have spent $9.74, you need to consider the coin denominations that sum up to the remaining $0.26. This is a combinatorial problem known as the 'coin changing problem,' which involves calculating the combinations of coins that can be used to make up the remaining change.
Explanation:
To calculate how many ways you can receive change for a ten-dollar bill, you would need to consider the different denominations of U.S. currency and how they could combine to total the difference between your purchase amount of $9.74 and a $10 bill, which is $0.26.
The ways you can receive change can include a combination of quarters, dimes, nickels, and pennies.
To model this as a mathematical problem, let's calculate the different combinations: You could receive one quarter and one penny, or two dimes and six pennies, or one dime, one nickel, and eleven pennies, and so on.
Since the question asks for the number of ways to receive change and not the specific combinations, we can use combinatorics to determine the total number of combinations.
Note:
Since the actual calculations for combinatorics can be complex and the question does not provide all the necessary details to give a definitive number, we can consider this as an example of a combinatorial problem in mathematics.
The coin changing problem is a classic example that could be applied here, where algorithms can be used to find the number of ways to make change for a certain amount using given denominations.
what is the value of D to the nearest tenth ?
HELPPPPPPPPPPPPPPPPPPPP
A car dealer recently sold five cars for the following profits: $10,126, $9,999, $12,398, $12,007, and $4,567. What was the mean for the profits of the sales?
Answer:
$9819.4
Step-by-step explanation:
We have been given that a car dealer recently sold five cars for the following profits: $10,126, $9,999, $12,398, $12,007, and $4,567. We are asked to find the mean for the profits of the sales.
Since mean is the average of numbers. So let us add all the profits and divide the sum of profits by number of cars.
[tex]\text{Mean for the profits of the sales}=\frac{10126+9999+12398+12007+4567}{5}[/tex]
[tex]\text{Mean for the profits of the sales}=\frac{49097}{5}[/tex]
[tex]\text{Mean for the profits of the sales}=9819.4[/tex]
Therefore, the mean for the profits of sales is $9819.4.
Reduce the rate 210 miles per 3 hours to it's unit rate and write the miles portion of your answer
unit rate would be miles per hour
so divide 210/3 = 70
Which factor does the width of the peak of a normal curve depend on?
Answer: The width of the peak depends on the Standard Deviation. The standard deviation is a measure used to quantify the variation or dispersion in the data set. If the standard deviation is low, this means that the set of data tends to be closer to the mean, then the width of the peak in the normal curve is small, for other part if the standard deviation is big, this means that the variation is big and the data set is more spread, this causes that the width of peak to be larger.
How many ways are there to choose a committee of 3 people from a group of 9 people?
The net of a square pyramid is shown below: What is the surface area of the solid?What is the surface area of the solid?
32 square inches 14 square inches 20 square inches 24 square inches 32 square inches
K+3d=8c-8d
solve for d
Susan starded her homework at 1:59 p.m. And finished her homework 96 minutes later. Susan had volleyball practice at 4:00p.m.
How much time did Susan have between finishing her homework and the beginning of volleyball practice ?
The time Susan had between finishing her homework and the beginning of volleyball practice is 25 minutes.
How much time did Susan have?The first step is to convert the time she used to do her homework to hours and minutes.
1 hour = 60 minutes
96 minutes = 1 hour 36 minutes
Time she finished her homework = 1:59 + 1 : 36 = 3 : 35
Time she had = 4 - 3 : 35 = 25 minutes
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For the equation x^2+3x+j=0 , find all the values of j such that the equation has two real number solutions. Show your work.
The solution is j<2.25, meaning all values of j less than 2.25 will provide two real solutions.
For the equation [tex]x^2+3x+j=0,[/tex] to have two real number solutions, the discriminant must be greater than 0. The discriminant, D, of a quadratic equation [tex]ax^2+bx+c=0[/tex] is given by [tex]D=b^2-4ac[/tex].
In this case, a=1, b=3, and c=j. Applying the values, we get:
[tex]D=3^2-4(1)(j)[/tex]
D=9-4j
For two real solutions, D>0. Therefore:
9-4j>0
To find the values of j, solve the inequality:
9>4j
j<9/4
Thus, all the values of j that satisfy j<2.25 will ensure that the equation x^2+3x+j=0 has two real number solutions.
A restaurant did a survey among 100 customers to find their food preferences. The customers were asked about their preferences for beef or chicken. Out of the total 75 people who liked beef, 60 also liked chicken. There were 80 people who liked chicken.
Part A: Summarize the data by writing the values that the letters A to I in the table below represent. (5 points)
Like beef Do not like beef Total
Like chicken A D G
Do not like chicken B E H
Total C F I
Part B: What percentage of the survey respondents did not like either beef or chicken? (3 points)
Part C: Do the survey results reveal a greater dislike for beef or chicken? Justify your answer. (2 points)
Answer:
A:
like beef do not like beef total
like chicken 60 20 80
do not like chicken 15 5 20
total 75 25 100
B: 5%
C: Beef. 20% of the people do not like chicken. 25% do not like beef ( 5% from each dislike both.)
Step-by-step explanation:
HELP PLEASE ASAP!!!!!!!!!!!!
1. The work of a student to solve the equation 2(3x − 4) = 8 + 2x + 4 is shown below:
Step 1: 2(3x − 4) = 8 + 2x + 4
Step 2: 5x − 6 = 12 + 2x
Step 3: 5x − 2x = 12 + 6
Step 4: 3x = 18
Step 5: x = 6
In which step did the student first make an error and what is the correct step?
Step 2; 6x − 6 = 2(6 + x + 2)
Step 2; 6x − 8 = 12 + 2x
Step 3; 5x − 2x = 12 − 6
Step 3; 5x + 2x = 12 + 6
2. The steps below show the incomplete solution to find the value of m for the equation 4m − 2m + 4 = −1 + 13:
Step 1: 4m − 2m + 4 = −1 + 13
Step 2: 4m − 2m + 4 = 12
Step 3: 2m + 4 = 12
Which of these is most likely the next step?
2m = 3
2m = 8
2m = 16
2m = 18
3. How many solutions does the equation 4n + 6 = 4 + 2 + 4n have?
Two
Many
None
One
Answer:
Step 2; 6x − 8 = 12 + 2x
Step-by-step explanation:
Step 1: Write the equation
Step 2: Apply distributive property to the left side and sum the constants to the right side
Step 3: Subtract 2x from both sides and add 8 to both sides:
Step 4: Divide both sides by 4:
You want to lay tile in a room of your house. The room is 12 feet by 8 feet. What is the side measure of the largest square tile that you can use to cover the whole floor so there is no overlap or cutting?
The side length is 4, and the side measure of the largest square tile is 4 feet.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that you want to lay tile in a room of your house. The room is 12 feet by 8 feet.
Tiles 4 feet by 4 feet will fill up the entire 96 sq ft area in just six tiles; three rows and two columns of them.
A tile with the dimensions of 4 x 4 has an area of 16 sq ft, which divides evenly in 96 (96/16=4).
16 is the largest square that divides into 96, making it the largest square tile that can be used to cover the entire floor smoothly without cutting. The side length is 4.
Therefore, the side length is 4, and the side measure of the largest square tile is 4 feet.
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Maggie's brother is 3 years younger than twice her age. The sum of their age is 24. How old is Maggie?
A triangle has angles that measure 30, 60, 90. The hypotenuse of the triangle measures 10 inches. Which is the best estimate for the perimeter of the triangle?
If the APY of a savings account is 2.4% and if the principal in the savings account is $2200 for an entire year, what will be the balance of the savings account after all the interest is paid for the year? A. $2200 B. $2252.80 C. $2300 D. $2205.28
To solve this problem, we must recall that the formula for money with compound interest is calculated as:
Total = Principal × ( 1 + Rate ) ^ n
Total = $2,200 × ( 1 + 0.024 ) ^ 1
Total = $2,252.80
Therefore the answer is letter B.
Which planet is 10 times as far as earth is from the Sun
A triangle has squares on its three sides as shown below. What is the value of x?
FIRST ONE GETS BRAINLIEST AND 12 PTS!!
Aldora decides to join a gym for a minimum of one month to train for a triathlon. The gym charges a joining fee of $100 and a monthly fee of $36. If x represents the number of months that Aldora is a member of the gym, the equation below can be used to determine C, her total membership fee for that duration of time:
100 + 36x = C
Aldora has allocated a maximum of $352 to spend on her gym membership. Which number line shows the possible number of months that Aldora can be a member of the gym?
I CANT PUT THE GRAPHS UP BUT I HOPE U UNDERSTAND
2 inches 3 inches Pivot. If 60 lbs. of force must be applied to the valve for it to open, how much upward force must push rod X apply for the valve to open?
A 60 lbs
B.40 lbs
C 30 lbs
D.20 lbs
E 15 lbs
We can solve this problem by stating that the summation of momentums must be zero. That is, the momentum at one end of the pivot must be equal to the momentum at the other end.
Momentum 1 = Momentum 2
Since Momentum is the product of Force and Distance, and with this rule created, we can say that:
F1 * d1 = F2 * d2
Where,
F1 = 60 lbs
d1 = 2 inches from the pivot
F2 = unknown X
d2 = 3 inches from the pivot
Substituting to the equation to find for F2:
60 lbs * 2 inches = F2 * 3 inches
F2 = 40 lbs
Therefore 40 lbs of upward force must be pushed to open the valve.
Answer: B
Final Answer:
40 lbs of upward force must be pushed to open the valve that is option B is correct.
Explanation:
We can solve this problem by stating that the summation of momentums must be zero. That is, the momentum at one end of the pivot must be equal to the momentum at the other end.
Momentum 1 = Momentum 2
Since Momentum is the product of Force and Distance, and with this rule created, we can say that:
F1 * d1 = F2 * d2
Where,
F1 = 60 lbs
d1 = 2 inches from the pivot
F2 = unknown X
d2 = 3 inches from the pivot
Substituting to the equation to find for F2:
60 lbs * 2 inches = F2 * 3 inches
F2 = 40 lbs
Therefore 40 lbs of upward force must be pushed to open the valve.
What is the length of the unknown leg in the right triangle?
A city planner designs a park that is a quadrilateral with vertices at J(-3, 1), K(1, 3), L(5,-1), and M(-1,-3). There is an entrance to the park at the midpoint of each side of the park. A straight path connects each entrance to the entrance on the opposite side. Assuming each unit of the coordinate plane represents 10 m, what is the total length of the path to the nearest meter?
Help me plz so bad I don't want to get bad grade on this
Answer:
1. 16666666666667 2. .72727272727 3. .25
Step-by-step explanation:
all you do is divide the top number by the bottom number to get it in decimal form
Haley and Samuel can each make one gift box in two hours. Rachael takes three hours to make the gift box alone. If Haley, Samuel, and Rachael work together, how long will it take them to make one gift box?
It will take 40 minutes for them to make one gift box.
Combined ratesGiven that Haley and Samuel can each make one gift box in two hours, while Rachael takes three hours to make the gift box alone, to determine, if Haley, Samuel, and Rachael work together, how long will it take them to make one gift box, the following calculation must be performed, using combined rates:
1/2 + 1/2 + 1/3 = X3/6 + 3/6 + 2/6 = X8/6 = X6/6 = 1 hour8/6 = 40 minutesTherefore, it will take 40 minutes for them to make one gift box.
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Answer:It will take 40 minutes for them to make one gift box
Step-by-step explanation:
Express without negative exponents
1/5^-1 = 5
.4^-2 = 6.25
so it would be 5 x 6.25
Nick has two more than twice as many quarters as dimes.. one fewer than three times as many nickels as dimes, and eight more pennies than dimes.. he has $7.37. How many of each coin does he have?
Thank you so much :)
ANSWER BOTH QUESTIONS IF U CANT SEE THE CHOICES ITS FINE! ALL U NEED IS THE QUESTION
Answer:
12 and 13
Step-by-step explanation:
A net can be folded to form a cube. The numbers on the three faces meeting at any vertex can be multiplied together. What is the smallest such product for the vertices of this cube
How many groups of 100 pennies are in 100 pennies
Which graph represents the solution to the system of inequalities?
x + y ≤ 4
y – x ≥ 1