Final answer:
Bella can write her 10 journal entries in 6 different ways by partitioning the number 10 into ones and twos and considering the different combinations of pages that can have one or two entries.
Explanation:
This problem can be solved by considering the journal entries as distinct objects and the pages as slots that can contain either one or two entries. Therefore, we need to find the number of partitions of the number 10 into ones and twos, which are the number of ways to write 10 as the sum of ones and twos.
To solve this problem systematically, we can start with the case where all 10 entries are on separate pages (10 ones), and then reduce the number of ones by two and increase the number of twos by one until we can no longer do so.
For example, the different ways could be (with '1' representing a single entry on a page and '2' representing two entries on a page):
1+1+1+1+1+1+1+1+1+1 (10 ones, 0 twos)
2+1+1+1+1+1+1+1+1 (8 ones, 1 two)
2+2+1+1+1+1+1+1 (6 ones, 2 twos)
2+2+2+1+1+1+1 (4 ones, 3 twos)
2+2+2+2+1+1 (2 ones, 4 twos)
2+2+2+2+2 (0 ones, 5 twos)
Therefore, Bella can write her 10 journal entries in 6 different ways.
Bella can write her journal entries in 6 different ways.
To solve this problem, let's consider the different combinations of pages Bella could use for her journal entries. Since some pages will have one entry and others will have two, we'll use a combination of single-entry pages and double-entry pages.
Let's denote:
x = number of single-entry pages
y = number of double-entry pages
Given that Bella wants to make a total of 10 entries, the equation representing this constraint is:
x + 2y = 10
Now, let's find the possible values of x and y that satisfy this equation:
1. x = 0, y = 5
2. x = 2, y = 4
3. x = 4, y = 3
4. x = 6, y = 2
5. x = 8, y = 1
6. x = 10, y = 0
Therefore, there are 6 different combinations of pages Bella can use for her journal entries.
Total number of ways = 6
after the movie, 99 out of 130 people surveyed said they like the movie. what is the experimental probability that the next person surveyed will say he or she liked the movie. And what is the experimental probability the next person surveyed will say he or she did not like the movie
The experimental probabilities that the next person liked the movie is approximately 0.76 or 76%, and that the next person didn't like the movie is approximately 0.24 or 24%.
Explanation:The question is about the concept of experimental probability in mathematics. In your case, the experimental probability is the ratio of the number of favorable outcomes to the total number of outcomes.
Firstly, out of 130 people, 99 said they liked the movie. Therefore, the experimental probability that the next person liked the movie is the number of favorable outcomes (people who liked the movie) divided by the total outcomes (total people surveyed), which is 99/130 or approximately 0.76.
Next, the people who didn't like the movie are 130 (total surveyed) minus 99 (liked the movie), which gives 31 people. Therefore, the experimental probability that the next person didn't like the movie is 31/130 or approximately 0.24.
These probabilities can also be expressed as percentages by multiplying by 100, resulting in approximately 76% and 24%, respectively.
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Simplify this expression 5b-(5b-2)
Charlie wants a new pair of shoes that cost 40 dollars his mom pays 75 percent of the cost and he pays 25 percent how much do they both pay
What divided by a number equals 100
Indy has x erasers and y pencils. How many erasers and pencils does Indy have?
Justin is considering two websites for downloading music.The costs are detailed here. Website 1: a yearly fee of $30 and $1.50 for each download Website 2: $2 for each download What is a system of equations to represent the costs for one year? Express your equations in the form of y=mx+by=mx+b where x is the number of downloads for the year and y is the total cost for the year.
Round off to nearest 10 of 194
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What is the partial product for 315×4
If a spacecraft was parked on Venus and needed to make a flight to Jupiter, how far would it need to travel? (Assume both planets are aligned with the sun and are on the same side of the sun.) Show your work and provide your answer in scientific notation.
Answer:
7.4052 x 10^8
Step-by-step explanation:
when is estimating an effective tool
Tammi is planning to buy a video game system for $310. Each month she doubles the amount she saved the previous month. If she saves $10 the first month, in how many months will Tammi have enough to buy the video game system? Please explain.
Select Is a Function or Is not a Function to correctly classify each relation.
{(3, 2), (6, 4), (9, 6), (12, 8)} is a function
{(2, 3), (2, 5), (3, 6), (9, 4)} is not a function
{(2, 4), (6, 3), (4, 8), (6, 6)} is not a function
{(3, 4), (5, 2), (6, 8), (6, 4)} is not a function
ExplanationTo test if a relation is a function from a set of ordered pairs, you just need to check if each element of the domain is paired with exactly one element of the range. Remember that the domain is all the x-values (first points of each ordered pairs) and the range is all the y-values (second points of each ordered pairs).
Let's test each one of our relations:
{(3, 2), (6, 4), (9, 6), (12, 8)} each element of the domain is paired with exactly one element of the range, so this one is a function.
{(2, 3), (2, 5), (3, 6), (9, 4)} 2 in the domain is paired with both 3 and 5 in the range, so this one is not a function.
{(2, 4), (6, 3), (4, 8), (6, 6)} 6 is paired with both 3 and 6, so this one is not a function either.
{(3, 4), (5, 2), (6, 8), (6, 4)} 6 is paired with both 8 and 4, so this one is not a function either.
Answer:
Hey man! This is the answer for anyone if they come across this problem! Hopefully it helps!
Geneva wants to put fencing around her rectangular flower bed. The width of her flower bed is the length. The perimeter of the flower bed is 20 feet. What are the dimensions of her flower bed? A. length = 7 feet; width = 3 feet B. length = 6 feet; width = 4 feet C. length = 3 feet; width = 7 feet D. length = 4 feet; width = 6 feetGeneva wants to put fencing around her rectangular flower bed. The width of her flower bed is the length. The perimeter of the flower bed is 20 feet. What are the dimensions of her flower bed? A. length = 7 feet; width = 3 feet B. length = 6 feet; width = 4 feet C. length = 3 feet; width = 7 feet D. length = 4 feet; width = 6 feet
The dimensions of the rectangular flower bed will be equal to 6 feet and 4 feet. Hence, option B is correct.
What is perimeter?A shape's perimeter is the whole distance encircling it. It is the perimeter or length of the contour of any geometric two-dimensional shape. The circumference of several figures could be comparable based on the measurements.
As per the given information, the question,
Perimeter of flower bed = 20 feet
Width, w = 2/3l
Use the formula of perimeter of rectangle,
P = 2(l + w) (i)
20 = 2 (l + 2/3l)
20 = 2(3l + 2l)/3
10l = 60
l = 6 feet
Put l = 6 feet in equation (i)
20 = 2(6 + w)
20 = 12 + 2w
w = 4 feet.
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Which graph is an example of a function?
A)
B)
C)
D)
Estimate each quotient 32.17÷7=_ $175.32÷3=_
What times 5/6 equals 10/3
2y-4x=-12 what is the slope intercept
At lunch, Kira eats either a burrito containing 490 milligrams of sodium or a peanut butter sandwich containing 700 milligrams of sodium. Her doctor told her to reduce her sodium to no more than 4,000 milligrams per week. Which inequality represents x, the number of microwave burritos, and y, the number of peanut butter sandwiches, she can eat each week?
2.03+7.89 estimate Please Help Asap
8. In a recent presidential election, Ohio had 18 electoral votes. This is 20 votes less than Texas had. How many electoral votes did Texas have?
What is an equation in slope-intercept form of the line that passes through (6, 10) and is parallel to the graph of y=13x−1 ?
The equation of a line in slope-intercept form that passes through (6, 10) and is parallel to y = 13x - 1 is y = 13x - 68, which represents the same slope with a different y-intercept.
The student is looking for the equation of a line in slope-intercept form that passes through the point (6, 10) and is parallel to another line with the equation y = 13x - 1. Since parallel lines have equal slopes, the slope of our unknown line will also be 13, the same as the given line. To find the y-intercept of the new line, we can use the slope-intercept form equation, which is y = mx + b, where m is the slope and b is the y-intercept.
Here's how you can find the equation step by step:
Start with the slope-intercept form: y = mx + b.Insert the slope of the line (13), so the equation becomes y = 13x + b.Now, insert the point (6, 10) into this equation and solve for b. Substituting the values gives us 10 = 13(6) + b.Solve for b: b = 10 - 78, which simplifies to b = -68.We now have the slope (13) and the y-intercept (-68), so the final equation is y = 13x - 68.Therefore, the equation of the line that passes through the point (6, 10) and is parallel to y = 13x - 1 is y = 13x - 68.
2x+9y=27
X - 3y = -24
Final answer:
The provided question involves solving a system of linear equations using the elimination method, a topic in high school mathematics. The step-by-step demonstration uses elimination to find the solution for x and y.
Explanation:
The question involves solving a system of linear equations, which is a topic covered in high school mathematics. To solve the system:
2x + 9y = 27
x - 3y = -24
We can use the method of elimination or substitution. However, in this demonstration, we will apply elimination to find the solution for x and y.
For example, to use elimination, we can multiply the second equation by 3 to get equations with the same coefficient for y:
3(x - 3y) = 3(-24)
which simplifies to:
3x - 9y = -72
Then we subtract this new equation from the first equation:
(2x + 9y) - (3x - 9y) = 27 - (-72)
This process simplifies to x = 3. After finding the value of x, substitute it back into one of the original equations to find the value of y, completing the solution for the simultaneous equations.
a cellphone cost $120 dollars. the price is reduced by 30% for a sale. how much is the savings
hana is making breakfast for her family. the pancakes recipes require 8 tablespoons of butter and 4 eggs . the recipe makes 16 pancakes. what is the ratio of eggs used to pancakes made?
Charlie is making a mosaic picture using 1 centimeter square tikes
Barbara bought 5 amusement park tickets at a cost of $30.If she bought 7 tickets,how much would it cost?
Answer:
30 / 5 = 6$ (cost for 1 ticket)
6 x 7 = 42$ (cost for 7 tickets)
To find the cost for 7 amusement park tickets, divide the original cost by the number of tickets to find the price per ticket ($6) and then multiply by 7 to get the total cost ($42).
The student asks how much it would cost to buy 7 amusement park tickets if 5 tickets cost $30. This is a proportional relationship problem, where the cost of tickets is directly proportional to the number of tickets purchased. To find the cost for 7 tickets, we first determine the cost of 1 ticket by dividing the total cost by the number of tickets (30 divided by 5 equals 6). Since each ticket costs $6, we then multiply this by 7 to find the total cost for 7 tickets (6 times 7 equals 42). Thus, Barbara would pay $42 for 7 tickets.
The distance from the park to the grocery store is 0.9 miles. Ezra runs 8 tenths of the distance and walks the rest of the way. How far does Ezra run from the park to the grocery store?
60 twenty-fives minus 1 twenty-five
what is 32 oz divided by $5.98
Complete all show all your work
40÷5 (2+11)=