Baking company wants to know how many muffins it made in one night if it made b muffins in the first hour then threw half of them away on the second hour due to sour milk. on the third hour they made 3 times as much as the first two hours and then on last hour made 7 more. write an expression of how many they made in total and simplify.
Answers
The expression is (5/2)b + 7 for muffins is made by the baking company in total in one night.
To find the total number of muffins the baking company made in one night, we can use the following expression:
Total = b - (b/2) + 3b + 7
Let's break it down by each hour:
- In the first hour, the company made b muffins.
- In the second hour, they threw away half of the muffins made in the first hour, which is b/2. So, they only have b - (b/2) muffins left.
- In the third hour, they made 3 times as much as the first two hours, which is 3b.
- In the last hour, they made 7 more muffins.
If we simplify the expression by combining like terms, we get:
Total = (5/2)b + 7
Therefore, the baking company made (5/2)b + 7 muffins in total in one night.
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Related Questions
Your favourite pizza place is offering a promotion on their medium and large pizzas. For one day only, you can buy a 3-topping large pizza, that has an approximate volume of 800 cm', for $14.99 or you can buy two 3-topping medium pizzas, that have an approximate volume of 575 cm', for $20.99. Calculate the unit price of each option per cm' and explain which is the better deal.
Answers
The unit price per cm³ for the two medium pizzas is $0.01825/cm³ while the unit price per cm³ for the large pizza is $0.01874/cm³. Even though the large pizza is cheaper, you get more volume for your money by purchasing two medium pizzas.
When it comes to deals, it's important to calculate the unit price to see which one offers a better value. In this case, we need to calculate the unit price of each option per cm³.The volume of the large pizza is approximately 800 cm³ and the price is $14.99. Therefore, the unit price per cm³ is:14.99 ÷ 800 = $0.01874/cm³.
The volume of two medium pizzas is approximately 2 x 575 cm³ = 1150 cm³ and the price is $20.99. Therefore, the unit price per cm³ is:20.99 ÷ 1150 = $0.01825/cm³So, the better deal is to buy two 3-topping medium pizzas for $20.99 because the unit price per cm³ is slightly lower compared to the 3-topping large pizza for $14.99.
The unit price per cm³ for the two medium pizzas is $0.01825/cm³ while the unit price per cm³ for the large pizza is $0.01874/cm³. Even though the large pizza is cheaper, you get more volume for your money by purchasing two medium pizzas.
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The graph of a linear inequality in two variables is the __________ containing all of its solutions.
.line
.half-plane
.parabola
.ellipse
Answers
Answer:
half-plane
Step-by-step explanation:
To draw the line of a linear inequality, we are going to draw a line that divides the coordinate plane into two parts.
Now, while the solution of the inequality lies on a part of the line, the second part of the line does not represent this solution.
Hence, we have a division into two planes. The shaded plane will represent solution to the inequality while the unshaded part will represent the part that is not a solution.
This depends on the sign of the inequality that is present .
The graph of a linear inequality in two variables is the half plain containing all of its solutions.
The graph of an inequality in two variables is the set of points that represents all solutions to the inequality.
A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality.
The line of a linear inequality, to draw a line that divides the coordinate plane into two parts.
Now, while the solution of the inequality lies on a part of the line, the second part of the line does not represent this solution.
A division into two planes.
The shaded plane will represent solution to the inequality while the unshaded part will represent the part that is not a solution.
This depends on the sign of the inequality that is present .
Hence, The graph of a linear inequality in two variables is the half plain containing all of its solutions.
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What is the minimum sample size required to estimate a population mean with 95% confidence when the desired margin of error is E = 1.5? The population standard deviation is known to be 10.75.
a.n = 138 b.n = 139 c.n = 197 d.n = 198
Answers
The minimum sample size required to estimate the population mean with 95% confidence and a margin of error of 1.5, given a population standard deviation of 10.75, is approximately 190 (option d).
To determine the minimum sample size (n) required to estimate a population mean with 95% confidence, given a desired margin of error (E) of 1.5 and a known population standard deviation (σ) of 10.75, we can use the formula:
n = (Z * σ / \(E)^2\)
In this formula, Z is the Z-score associated with the desired confidence level. For a 95% confidence level, the Z-score is 1.96 (based on a standard normal distribution table).
Now, we can plug in the given values and solve for n:
n = \((1.96 * 10.75 / 1.5)^2\)
n = \((20.67 / 1.5)^2\)
n = \(13.78^2\)
n ≈ 189.76
Since we require a whole number for the sample size, we round up to the nearest whole number, which is 190. This value is not among the given options, but it is closest to option d (n = 198). Therefore, the best answer among the given options is d (n = 198).
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A jar contains 22 marbles, of which 5 are blue, 2 are red, and the rest are green. What is the ratio of green marbles to all marbles?
Answers
Answer:
The ratio of the green marbles to all the marbles will then be;
\(15\colon22\)Explanation:
Given that;
A jar contains 22 marbles.
5 are blue and 2 are red.
The number of green, which is the remaining marbles is;
\(\begin{gathered} G=22-(5+2)_{} \\ G=22-7 \\ G=15 \end{gathered}\)So, there are 15 green marbles.
The ratio of the green marbles to all the marbles will then be;
\(15\colon22\)Or
\(\frac{15}{22}\)Use the following rules to graph and label the ordered pairs on a coordinate grid with at least 4 points on the coordinate plane:
Maddy and Ted worked together to graph points on a coordinate plane.
Maddy wrote a pattern for all the x coordinates starting at 3 and followed the rule "add 2.".
Ted wrote a pattern for all the y coordinates starting at 0 and followed the rule "add 4."
PLEASE HELP!!!
Answers
The first four points of the pattern are (3, 0), (5, 4), (7, 8) and (9, 12).
What are the Coordinates?Coordinates are the set of points in a geometrical plane or space, which is used to denote the exact point in the coordinate plane or space.
Given that,
Maddy wrote a pattern for all the x coordinates starting at 3 and followed the rule "add 2".
The first x coordinate is 3.
Then comes 5, 7, 9, 11, .........
Ted wrote a pattern for all the y coordinates starting at 0 and followed the rule "add 4".
The first y coordinate is 0.
Then comes 4, 8, 12, 16, ........
So the points are (3, 0), (5, 4), (7, 8), (9, 12), (11, 16), .........
Hence the points are going in the form as (3, 0), (5, 4), (7, 8), (9, 12), (11, 16), .........
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what is the answer, i tried everything but i can’t seem to get the right answer
Answers
Answer:A
Step-by-step explanation: It never talks about 50 so i don't know why that is there so I think it is A because 21 dollars is more than 5+2.75, (not 100% sure but at least 85% sure)
Answer:
A
Step-by-step explanation:
The reason that this is A is because 5$ is the initial fee and you dont pay any more than that, since 21$ is the max you can afford it is going to be less than or equal to 21. and if it is 2.75$ per stop then it is the number of stops times 2.75. A is your answer.
edit: and the 50 kilometers doesnt have any value in the situation so basically it was just there to confuse you or throw you off.
A cinema has three screens 600 people visit the cinema 35% go to screen 1 four times as many go to screen 2 as go to screen 3 how many people go to screen 2?
Answers
The answer is 35% of 600 is 210. 312 people went to screen 2.
What is meant by screen?
A flat surface onto which a picture or group of photos is reflected or projected. Both the surface of an electrical display and the information simultaneously shown on a computer screen.Bury, conceal, hide, and secrete are some typical synonyms for screen. All of these phrases refer to "withholding or withdrawing from sight," but the word "screen" denotes an obstruction that prevents discovery.When evaluating developmental delays in children, professionals such as nurses, teachers, qualified paraprofessionals, and medical experts employ screening tools, such as checklists or questionnaires.Correct can also be referred to by other words like accurate, exact, pleasant, precise, and right.To learn more about screen refer to
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When critiquing an observational study, which four factors should be analyzed?.
Answers
Overall, analyzing the four factors can help determine the validity and generalizability of the results of an observational study: Confounding Variables, Sampling Method, Data Collection Methods, Study Design.
Confounding Variables: Confounding variables are extraneous variables that are related to both the dependent variable and the independent variable, which can lead to a false association between the two. When critiquing an observational study, it is important to analyze whether confounding variables were adequately controlled for. This can be done by examining whether the study design accounted for potential confounders, such as through stratification or matching, or whether statistical techniques were used to adjust for confounding.
Sampling Method: The sampling method used in an observational study can have a significant impact on the generalizability of the results. It is important to analyze whether the study used a representative sample of the population of interest, and whether any biases were present in the sampling method.
Data Collection Methods: The methods used to collect data in an observational study can also impact the validity of the results. When critiquing an observational study, it is important to analyze whether the data collection methods were standardized and reliable, and whether any biases were present in the data collection process.
Study Design: The study design used in an observational study can also affect the validity of the results. When critiquing an observational study, it is important to analyze whether the study design was appropriate for answering the research question of interest, and whether there were any limitations or potential sources of bias in the study design.
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find the 10th and nth term of each G.P.:5,25,125,.....
Answers
Answer:
The \(n^{th}\) of the sequence
\(t_{n} = ar^{n-1}\)
The \(10^{th}\) of the sequence
\(t_{10} = 5(5)^{10-1} = 9,765,625\)
Step-by-step explanation:
Explanation:-
Given that the geometric sequence
5, 25 , 125 ,....
First-term a= 5
Difference \(r = \frac{25}{5} =5\)
The \(n^{th}\) of the sequence
\(t_{n} = ar^{n-1}\)
The \(10^{th}\) of the sequence
\(t_{10} = 5(5)^{10-1} = 9,765,625\)
Please help thank you! Sorry for spamming
Answers
Answer:
B
Step-by-step explanation:
because of order if operations.
Answer:
B
Step-by-step explanation:
The rule of PEMDAS states to start from parenthesis. To get your correct answer, you would need to prioritize what comes first going left to right.
If you were to select A, (/5) would be prioritized. D. Has the order placed in correctly, as well as C.
A rectangle has a length x and a width y
Select all the statements that must be true
I need help Please help me
Answers
The perimeter is 2x + 2y
The perimeter is 2(x+y)
\(x - 4z = 12x - y - 6z = 42x + 3y - 2z = 8\)
Answers
The value of x = 16, y = 172 and z = 2.
x - 4z = 12x - y - 6z = 42x + 3y - 2z = 8
let x - 4z = 8 be equation (1), 12x - y - 6z = 8 be equation (2) and 42x + 3y - 2z = 8 be equation (3)
x - 4z = 8
x = 8 + 4z
12x - y - 6z = 8
12(8 + 4z) -y - 6z =8
96 + 48z - y - 6z = 8
42z - y = -88
y = 42z + 88
42x + 3y - 2z = 8
42(8+4z) + 3(42z + 88) - 2z = 8
336 + 168z + 126z + 264 - 2z = 8
168z + 126z + 2z = 336+264 - 8
296z= 592
z = 2
substituting the value of z
x = 8 + 4z
= 8 + 4(2)
8+8 = 16
y = 42z + 88
42(2) + 88
84 + 88= 172
The value of x = 16, y = 172 and z = 2.
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Bob rides his bike.
He records his time and distance each time he stops for water.
Time (minutes)
Distance (miles)
20
4
50
10
90
18
130
26
150
30
How many miles will Bob have traveled if he stops after 180 minutes continuing his same pattern? Enter your answer in the first response box.
Enter the equation that represents the relationship between Bob's distance and the time he stops for water in the second response box. Use d for the distance he has traveled and t for the time in minutes
Answers
Bob will have traveled 30 miles if he stops after 180 minutes, continuing his same pattern. Bob will have traveled 120 miles if he stops after 180 minutes, following the same pattern.
The relationship between Bob's distance and the time he stops for water can be represented by a linear equation. Let's denote the distance as d and the time in minutes as t. Looking at the given data, we can observe that Bob's time and distance values form a pattern. For each recorded time, the corresponding distance is given. We can use this pattern to find the equation.
From the data, we can see that when Bob stops at 0 minutes, he has traveled 20 miles. When he stops at 45 minutes, he has traveled 45 miles. And when he stops at 90 minutes, he has traveled 90 miles. We can find the slope of the line by calculating the change in distance divided by the change in time between any two points. In this case, the slope is (45 - 20) / (45 - 0) = 25 / 45 = 5 / 9.
Using the slope-intercept form of a linear equation, y = mx + b, where y is the distance, m is the slope, x is the time, and b is the y-intercept, we can plug in one of the points to find the equation. Let's use the point (0, 20). Substituting the values, we have 20 = (5 / 9) * 0 + b, which simplifies to b = 20. Thus, the equation representing the relationship between Bob's distance and the time he stops for water is d = (5 / 9) * t + 20.
To find the distance when Bob stops after 180 minutes, we substitute t = 180 into the equation: d = (5 / 9) * 180 + 20 = 100 + 20 = 120. Therefore, Bob will have traveled 120 miles if he stops after 180 minutes, following the same pattern.
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Which of the following is equal to the opposite of -45?
O-(-45)
O-45
O-1-451
O-145!
Answers
Step-by-step explanation:
A o option
-(-45)
hope it helps
Quincy uses the quadratic formula to solve for the values of x in a quadratic equation. He finds the solution, in simplest radical form, to be x
Answers
Since the value of the discriminant (-19) < 0, no real solution(s)/root(s) exist for the equation. Thus, we can choose the first option:
"Zero, because the discriminant is negative".
A quadratic equation is a polynomial of degree 2, in a single variable x.
The standard form of a quadratic equation is ax² + bx + c = 0.
The quadratic formula is used to find the solution(s)/root(s) of this equation.
The quadratic formula is:
\(x = \frac{-b \pm \sqrt{b^2 - 4ac} }{2a}\)
In this formula, \(b^2-4ac\) is called the discriminant (D).
The solution(s)/root(s) of the equation, depends on this discriminant value as follows:
When D > 0, the roots of the equation are real and distinct.When D = 0, the roots of the equation are real and equal.When D < 0, then no real roots exist.In the question, we are given that the simplest form of Quincy's equation in the radical form was,
\(x = \frac{-3 \pm \sqrt{-19} }{2}\).
Comparing this to the quadratic formula,
\(x = \frac{-b \pm \sqrt{b^2 - 4ac} }{2a}\)
we get the discriminant (D) = -19.
Since the value of the discriminant (-19) < 0, no real solution(s)/root(s) exist for the equation. Thus, we can choose the first option:
"Zero, because the discriminant is negative".
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Gale sells 16 bags of cherries at the farmers market. Each bag weighs 1.8 pounds. How many pounds of cherries does Gale sell in all?
Answers
Number of bags= 16
Bag weight= 1.8 pounds
Then, number of pounds is
= 16x 1.8 = 28.8 pounds of cherries
So 16x8.1= 28.8
Smallest possible answer.
Answers
The smallest possible values for "a" and "b" that satisfy these conditions are when a = 1 and b = 3. This is because 1 is the smallest factor of 15, and 3 is the smallest multiple of 3.
What is integers?
The Latin term "Integer," which implies entire or intact, is where the word "integer" first appeared. Zero, positive numbers, and negative numbers make up the particular set of numbers known as integers.
Let's call the two unknown numbers as "a" and "b"
Since "a" is a factor of 15, the possible values for "a" are 1, 3, 5, and 15.
Since "b" is a multiple of 3, the possible values for "b" are 3, 6, 9, 12, 15, and so on.
The smallest possible values for "a" and "b" that satisfy these conditions are when a = 1 and b = 3. This is because 1 is the smallest factor of 15, and 3 is the smallest multiple of 3.
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PLEASE HELP
Which is the graph of f(x) = 1/4 (4)x?
No links
Answers
Answer:
3rd
Step-by-step explanation:
Answer: graph 3
Step-by-step explanation:
Math help (radical expressions) ???
Answers
Answer:
radicial expressions
Step-by-step explanation:
Answer:
\(D\)
Step-by-step explanation:
\(\frac{4^{1/4}b^{3/4}}{a^{1/2} }\)
\(\frac{\sqrt{2} * b^{3/4} }{\sqrt{a} }\)
Economics
Read this article about the history of Starbucks Corporation from HistoryLink.org: "Starbucks: The Early Years" by Sheila Farr. As you read, find at least one example of every major group in a typical circular flow diagram, including:
A business
A resource market
A household
A product market
Also find examples of a resource, good, service, or dollar amount that flowed between each of the four groups you identified. More specifically, these examples should include:
A resource from a resource market that a business used
A productive resource (labor) that a household supplied to a resource market
An expenditure a household made by buying a product
A product a household bought from the product market
Revenue a business made from the product market
A good or service a business provided to the product market
Once you have identified at least one example for each item in the list above, fill out the blank circular flow diagram below.
Keep in mind that the reading may provide multiple examples for each item. You only need to mention one or two examples, but make sure they are clear so your instructor can easily find them in the article. Also keep in mind that since the "income" and "wages, interest, net profit" categories are not explicitly mentioned in the reading, these details have been filled in for you.
Answers
Answer:
Business: Starbucks Corporation
Resource Market: Coffee farmers
Household: Starbucks customers
Product Market: Starbucks stores
Resource from a resource market that a business used: Coffee beans
Productive resource (labor) that a household supplied to a resource market: Starbucks customers' labor in the form of wages
Expenditure a household made by buying a product: Starbucks customers' expenditure on coffee and other products
Product a household bought from the product market: Coffee and other products from Starbucks stores
Revenue a business made from the product market: Starbucks Corporation's revenue from the sale of coffee and other products
A good or service a business provided to the product market: Starbucks Corporation's provision of coffee and other products to its customers
Circular Flow Diagram:
Households --> Product Market --> Business --> Resource Market --> Households
What is the coefficient of y in the expression 2.4+ 3y?
Answers
In the expression 2*4 + 3y, the coefficient of y is 3. The coefficient is the number next to the variable.
Nora spent 3 hours calling actors, 2 hours finding props,
2 hours at rehearsal, and 4 hours in meetings.
How many hours did she work?
Answers
Answer: Nora spent 11 ours working.
Step-by-step explanation: 3 + 2 + 2 + 4 = 11
Answer:
7
Step-by-step explanation:
meetings don't count
You poured 4 kilograms of oats equally into 3 bags. What is the weight of each of his bags of oat
Please answer i’m confused lol i didn’t pay attention in math
Answers
Detailed Explanation:
3 bags = 4kg.
3/3=1
4/3=4/3 (must do the same to other side)
Therefore, 1 bag = 4/3 or 1 1/3kg.
Answer:
2 2/3
Step-by-step explanation:
we know that the kg in each bag is 2 2/3
Find the volume of the triangular prism
Answers
Answer:
V = 22
Step-by-step explanation:
V= 1/2 b*h*l
V= 0.5 * 4 * 3 * 11
V= 22
-3x-7y=-14
7x+8y=-9
What’s the x and y?
Answers
Answer:
Step-by-step explanation:
Let's graph both functions
The solutions are the coordinates of the intersection point
The intersection point is (-7,5)
So
● x = -7
● y = 5
A circular garden has a diameter of 8 feet, and a rectangular garden has side lengths of 5 feet by 9 feet.
which garden is larger
Answers
Answer:
rectangular garden
Step-by-step explanation:
Graph a scatter plot using the given data.
Answers
Answer:
Here is the answer.
Step-by-step explanation:
Suppose that it is equally likely for a child to be a boy or a girl. Suppose a parent tells you that she or he has 7 children. What is the probability that at least one is a boy given that at least 6 of the children are girls
Answers
Probability that at least one is a boy given that at least 6 of the children are girls is 1 .
Given,
Family has 7 children and at least six are girls .
Here,
The probability that at least one child is a boy given that at least 6 of the children are girls is 1.
This is because if a parent has 7 children, it is certain that at least one of them must be a boy or a girl. Since we are given that at least 6 of the children are girls, it must be the case that at least one of the remaining children is a boy.
Thus the probability is 1 .
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What is the measure of ∠xbc? m∠xbc = m∠bac m∠bca 3p â€"" 6 = p 4 84 3p â€"" 6 = p 88 2p â€"" 6 = 88 2p = 94 m∠xbc = °
Answers
Answer:
m∠XBC = 135
Step-by-step explanation:
What is the measure of ∠XBC?
m∠XBC = m∠BAC + m∠BCA
3p – 6 = p + 4 + 84
3p – 6 = p + 88
2p – 6 = 88
2p = 94
From the simplified expression, we need to find the value of p first
From the last line we can see that;
2p =94
Divide both sides by 2:
2p/2 =94/2
p = 47
From the expression, m∠XBC =3p-6
m∠XBC = 3(47)-6
m∠XBC = 141 -6
m∠XBC = 135
Hence the measure of m∠XBC is 135
The accompanying data show the number of central public libraries in 30 states and the District of Columbia. A summary of the data is shown in the following table. Should the maximum andminimum values of this data set be considered potential outliers? Why of why not? You can check your answer by using technology to make a boxplot using fences to identity potential outliers.
Answers
Answer:
Explanations: