7. Kiara baked 12 oatmeal cookies and 16 chocolate chip cookies to package in plastic containers for her
friends at school. She wants to divide the cookies into identical containers so that each container has the same
number of each kind of cookie. If she wants to have the greatest number of containers possible, how many
containers does she need? How many oatmeal and chocolate chip cookies will be in each container?
Answers
The greatest possible containers required by Kiara is 4.
The number of oatmeal and chocolate chip cookies in each container is 3 and 4 respectively.
What is defined as the highest common factor?The highest common factor, or HCF, is the greatest number that divides each of two or more numbers.HCF is also recognised as the Greatest Common Measure (GCM) and the Greatest Common Divisor (GCD) .For the given question;
The total number of oatmeal cookies = 12.
The total number of chocolate chip cookies = 16.
Taking the HCF of 12 and 16 (the largest multiple pf 12 and 16).
HCF = 4.
Thus, the number of boxes requires is 4.
The oat place in one box is 3. In 4 boxes it will be 12.
Similarly, the chocolate chip cookies placed in one box is 4. In 4 boxes it will be 16.
Thus, the oat placed in each box is 3 and the chocolate chip cookies placed is 4.
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Related Questions
Need help with this question. Will crown brainliest
Answers
g(x)=x+2
f(g(x))=f(x+2)
f(x+2)=1/(x+2)=h(x)
If triangles ABC and DEF are similar, what is y? Show your work.
Answers
The value of y is 18
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.
Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.
Therefore;
14/21 = 12/y
14y = 21 × 12
14y = 252
divide both sides by 14
y = 252/14
y = 18
Therefore the value of y is 18.
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find the difference between 8n and (3n_6)
Answers
3 times (2x + 5) - 23 = 10
Answers
Answer:
x=3
Step-by-step explanation:
3 times (2x+5)-23=10 can be rewritten as 3(2x+5)-23=10
6x+15-23=10 ----> Use distributive Property
6x-8=10 ------------> Combine Like Terms
6x=18 -----------------> Use inverse operations; add 8 on both sides; simplify
x=3 ---------------------> Use inverse operations, divide by 3, simplify
Answer:
X=3!
Step-by-step explanation:
1) 6x - 8 = 10
2) + 8 +8
3) 6x = 18
Solution: X=3
What is angle
Enter your answer in the box
Answers
Answer:
CAB is 37 degrees
Step-by-step explanation:
90 + 53 = 143
180 - 143 = 37
where is the vertex located at?
Answers
Answer:
The vertex of \(f(x) = |x-3| + 6\) is \((x,y) = (3, 6)\).
Step-by-step explanation:
The vertex of the absolute value function is the point where \(|x-3| = 0\). Hence, the coordinates of the vertex are, respectively:
\(x-3 = 0\)
\(x = 3\)
\(y = |x-3| + 6\)
\(y = |3-3|+6\)
\(y = |0|+6\)
\(y = 0 + 6\)
\(y = 6\)
The vertex of \(f(x) = |x-3| + 6\) is \((x,y) = (3, 6)\).
The ages in years of 10 teachers of a school are : 32, 41, 28, 54, 35, 26, 23, 33, 38, 40. What is the range of ages of the teachers?
Answers
Answer:
The range is 31
Step-by-step explanation:
Range is highest number - lowest number.
The highest number is 54 and the lowest is 23.
54-23=31
For each ordered pair (x, y), determine whether it is a solution to the inequality y≤0.
(8,-43)
(4.-22)
(-3,25)
(-7,45)
Is it a solution?
Answers
Answer:
(8,-43)
(4,-22)
Step-by-step explanation:
In order for the ordered pair to be a solution of the inequality, you must be able to plug in the y-value of the ordered pair and it must be less than or equal to 0.
For example:
(4,-22)
x=4 ; y=-22
Plug y into the inequality
y≤0
-22≤0
Since the statement is true, I know that (4,-22) must be a solution to the inequality.
Another way to solve this problem is by graphing. If an ordered pair is in the shaded region, it is a solution to the inequality. Attached is a graph of both the inequality and ordered pairs plotted.
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Have a GREAT day!!!
Answer:
Step-by-step explanation:
To determine whether each ordered pair is a solution to the inequality y ≤ 0, we need to check if the y-coordinate of each pair is less than or equal to zero.
Let's check each ordered pair:
(8, -43):
The y-coordinate is -43. Since -43 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.
(4, -22):
The y-coordinate is -22. Since -22 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.
(-3, 25):
The y-coordinate is 25. Since 25 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.
(-7, 45):
The y-coordinate is 45. Since 45 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.
So, the solutions to the inequality y ≤ 0 are:
(8, -43) and (4, -22).
Tell whether the ordered pair is a solution to the system of linear equations. 1 point
63 + 3y = 12
(5.-6):
4x + y = 14
Yes
No
Maybe
Next
Page 1 of 3
Forms
Tell whether the ordered pair is a solution to the system of linear equations
Yes
No
Maybe
Answers
Answer:
(5,-6) is a solution
Step-by-step explanation:
Given
\(6x + 3y = 12\)
\(4x + y = 14\)
Required
Tell whether (5,-6) is a solution
In (5,-6): x = 5 and y = -6.
Substitute these values in the given equations
\(6x + 3y = 12\) becomes
\(6 * 5 + 3 * -6 = 12\)
\(30-18 = 12\)
\(12 = 12\)
\(4x + y = 14\) becomes
\(4 * 5 - 6 = 14\)
\(20 - 6 = 14\)
\(14 = 14\)
Because both solutions are true, then (5,-6) is a solution
In how many different ways can the ribbons be awarded?
Answers
The total number of different ways in which the ribbons can be awarded is 24,024 ways, so the third option is the correct one.
In how many ways can the ribbons be awarded?There is a competition with 14 dogs, and there are 4 prizes for the dogs.
To find the number of ways in which the ribbons (prizes) can be awarded, we need to take the product between the numbers of options for each.
For example for the blue ribbon (first prize) there are 14 dogs to select, so there are 14 options.
For the red one there are 13 options (because one dog is already selected for the blue ribbon).
For the yellow one there are 12 options.
For the white there are 11 options.
Then the total number of different combinations is:
C = 14*13*12*11 = 24,024
Thus, the third option is the correct one.
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The solutions of the quadratic equation Ax^2+Bx+C=0 are called roots and are given by a famous equation called the Quadratic Formula . In the quadratic formula, the terms B^2-4AC underneath the radical have a special name: the Discriminant .
Discuss the relationship between the discriminant of a quadratic polynomial and the quantity of real roots it possesses. Explain the positioning of the roots of the polynomial on its graph with respect to the discriminant and the sign of the discriminant.
Answers
The roots of a quadratic equation depends on the discriminant \(\Delta\).
If \(\Delta > 0\), the quadratic equation has two real distinct roots, and it crosses the x-axis twice.If \(\Delta = 0\), the quadratic equation has one real root, and it touches the x-axis.If \(\Delta < 0\), the quadratic equation has two complex roots, and it neither crosses nor touches the x-axis.---------------------
A quadratic equation has the following format:
\(y = ax^2 + bx + c\)
It's roots are:
\(y = 0\)
Thus
\(ax^2 + bx + c = 0\)
They are given by:
\(\Delta = b^{2} - 4ac\)
\(x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}\)
\(x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}\)
The discriminant is \(\Delta\).
If it is positive, \(-b + \sqrt{\Delta} \neq -b - \sqrt{\Delta}\), and thus, the quadratic equation has two real distinct roots, and it crosses the x-axis twice.If it is zero, \(-b + \sqrt{\Delta} = -b - \sqrt{\Delta}\), and thus, it has one real root, and touching the x-axis.If it is negative, \(\sqrt{\Delta}\) is a complex number, and thus, the roots will be complex and will not touch the x-axis.A similar problem is given at https://brainly.com/question/19776811
1. If you deposit $4350 at 2.32% interest, compounded continuously, what would your ending
balance be to the nearest cent after 6 years?
Answers
Answer:
$4999.69
Step-by-step explanation:
F = Pe^(rt)
F = $4350 * e^(0.0232 * 6)
F = $4999.69
Find the quotient of 10^-4/10^2
Answers
The quotient of 10⁻⁴/10² is 10⁻⁶
How to Find the quotient of 10⁻⁴/10²?Quotient is the result obtained by dividing one quantity by another. It represents the value that is obtained after division.
For example, if you divide 20 by 2, the quotient is 10 because 20 divided by 2 equals 10.
Division law states that:
10ᵃ / 10ᵇ = 10ᵃ⁻ᵇ
In this case have:
10⁻⁴/10² = 10⁻⁴⁻² (Division law)
10⁻⁴/10² = 10⁻⁶
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You and a friend went to the movies. You decide to get some snacks. You got 2 boxes of candy that cost $3.49 for each box. You also purchased a soda for $4.82. Your friend wants to share and split the cost ($5.50) of a large popcorn. How much did you spend on your snacks all together
Answers
You need to add up all of the costs of the items you purchased.
First, you multiply $3.49 x 2 then you add $4.82 for the soda. Because your friend split the cost of the popcorn, you divide $5.50 in half to get $2.75. Add all of these up to get $14.55.
Answer:
$14.55
Step-by-step explanation:
It says you bought 2 boxes of candy, each costing $3.49.
2 * $3.49 = $6.98
You also bought 1 soda, costing $4.82.
$6.98 + $4.82 = $11.80
Lastly, you bought a large popcorn, costing $5.50, but you split the cost with your friend, so you only paid half.
$5.50 / 2 = $2.75
$11.80 + $2.75 = $14.55
again, functions, I’m so sorry
Answers
Answer:
|| only
Step-by-step explanation:
HELP ME
Final exam guide due
Show work
Answers
The approximate height of the tree is given as follows:
45.6 ft.
What is the geometric mean theorem?The geometric mean theorem states that the length of the altitude drawn from the right angle of a triangle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.
The altitude segment for this problem is given as follows:
14.5 ft.
The bases are given as follows:
5.2 ft and x ft.
Hence the value of x is given as follows:
5.2x = 14.5²
x = 14.5²/5.2
x = 40.4 ft.
Hence the height of the three is given as follows:
5.2 + 40.4 = 45.6 ft.
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15. Jonas played 9 holes of golf
and received the following
scores. Positive scores indi-
cate that Jonas was above
par. Negative scores indicate
that he was below par. Find
Jonas's total after 9 holes. Is
his score above or below par?
+2, +1,-1, 0, 0, -1, +3,
+4, -1
Answers
Answer:
Step-by-step explanation:
To find Jonas's total score after 9 holes of golf, we add up all the individual scores:
+2 + 1 - 1 + 0 + 0 - 1 + 3 + 4 - 1 = 7
Jonas's total score after 9 holes is 7.
Since the total score is positive (above zero), Jonas's score is above par.
Perry borrows $150 from his brother to fix his car. His brother doesn't like lending Perry money and so charges him 7% interest per month. a. Write a rule in the "y=..." form that will give the amount of money, y, Perry will owe his brother after n months, assuming that he doesn't make any payments.
Answers
Answer: Let's say,
y = the amount of money Perry will owe his brother after n months.
x = the principal (the initial amount borrowed) = 150
r = the interest rate per month = 7/100 = 0.07
n = number of months.
We know that Interest on a loan is calculated by multiplying the principal by the interest rate.
Therefore, the interest for n months is (0.07*x)*n
So to find the total amount Perry will owe his brother after n months, we need to add the interest to the principal amount.
y = x + interest
y = x + (r*x)n
y = x(1 + rn)
Therefore, the rule in the "y =..." form that will give the amount of money, y, Perry will owe his brother after n months, assuming that he doesn't make any payments is:
y = 150(1 + 0.07*n)
It's worth noting that this formula can be used to calculate the amount he will owe after any number of months by changing the value of n, and It's assuming he doesn't make any payments, meaning if he makes any payments, the total amount he will owe will change.
Step-by-step explanation:
math project : I need an interesting project idea for mathematics that can relate 3 different topics, I should write a full research paper related on the topic this are some examples related to the project
You must state a question that you would like to answer. This must be a specific question within your topic and should be explored thoroughly to create a complete paper.
Examples:
(i) How can we use Mathematical/Calculus-based tools to study the spread of COVID-19?
(ii) Designing a new Mathematical/Calculus-based model to analyze the spread of COVID-19
(iii) How many entrances should there be at Expo to accommodate all visitors?
(iv) How much water does the UAE need in order to sustain its ever changing population? (i.e. comparing water usage vs. water production)
Literature review:
You must show using multiple references and sources of the current literature on your given topic. This does NOT imply that information is simply copied from the internet but rather you must present a comprehensive review and summary of the latest research on your topic. It is suggested that you chose a specific aspect of your topic in order to include all required elements.
Examples:
(i) Review of the existing Mathematical/Calculus-based models used to analyze the spread of COVID-19
(ii) Review of existing Mathematical/Calculus-based models and calculations regarding risk insurance.
Answers
Answer:
Here's an interesting project idea for mathematics that can relate three different topics:
Topic 1: Fractals
Topic 2: Chaos Theory
Topic 3: Differential Equations
Research Question: Can fractals be used to model chaotic systems described by differential equations?
In this project, you can explore the concept of fractals and their applications in modeling complex systems. You can also delve into chaos theory and differential equations to understand how they are used to describe chaotic systems. By combining these three topics, you can investigate whether fractals can provide a better understanding of chaotic systems by modeling them more accurately.
Your research paper can cover the following areas:
Introduction: Provide an overview of fractals, chaos theory, and differential equations, and explain their relevance to the research question.
Fractals: Discuss the properties of fractals and how they can be used to model complex systems. Provide examples of fractals in nature and technology.
Chaos Theory: Explain the concept of chaos and how it is described by differential equations. Discuss the importance of chaos theory in understanding complex systems.
Differential Equations: Provide an overview of differential equations and their applications in physics, engineering, and other fields. Explain how differential equations are used to model chaotic systems.
Combining the three topics: Explain how fractals can be used to model chaotic systems described by differential equations. Provide examples of fractals used in modeling chaotic systems and compare the results to traditional methods.
Conclusion: Summarize the findings of your research and discuss the implications of using fractals to model chaotic systems.
Overall, this project can be a challenging and rewarding exploration of the interplay between three different mathematical topics.
Step-by-step explanation:
Convert to decimal form: 1.118×10−6.
Answers
Angle ADB and CD are straight lines. angle ADC = 5 x angle CDB Work out the size of angle ADC.
Answers
Answer:
Step-by-step explanation:
In 2015, the average distance from Earth to the moon was about 3.74 x 105 km. The distance from Earth to Mars was about 9.25 x 107 km. How much farther is traveling from Earth to Mars than from Earth to the moon? Write your answer in scientific notation.
Answers
Traveling from Earth to Mars is approximately 9.249626 x 10^7 km farther than traveling from Earth to the moon.
Earth to Mars is compared to traveling from Earth to the moon, we need to calculate the difference between the distances.
The distance from Earth to the moon is approximately 3.74 x 10^5 km.
The distance from Earth to Mars is approximately 9.25 x 10^7 km.
To find the difference, we subtract the distance to the moon from the distance to Mars:
9.25 x 10^7 km - 3.74 x 10^5 km
To subtract these numbers, we need to make sure the exponents are the same. We can rewrite the distance to the moon in scientific notation with the same exponent as the distance to Mars:
3.74 x 10^5 km = 0.374 x 10^6 km (since 0.374 = 3.74 x 10^5 / 10^6)
Now we can perform the subtraction:
9.25 x 10^7 km - 0.374 x 10^6 km = 9.25 x 10^7 km - 0.374 x 10^6 km
To subtract, we subtract the coefficients and keep the same exponent:
9.25 x 10^7 km - 0.374 x 10^6 km = 9.25 x 10^7 - 0.374 x 10^6 km
Simplifying the subtraction:
9.25 x 10^7 - 0.374 x 10^6 km = 9.249626 x 10^7 km
Therefore, traveling from Earth to Mars is approximately 9.249626 x 10^7 km farther than traveling from Earth to the moon.
Scientific notation is a convenient way to express very large or very small numbers. It consists of a coefficient (a number between 1 and 10) multiplied by a power of 10 (exponent). It allows us to write and manipulate such numbers in a compact and standardized form.
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A certain element decays at a constant rate of 6% per year. If you start with 20 grams of the element, how long will it take before there are only four grams left?
Answers
Answer:
26.0 years
Step-by-step explanation:
It will take approximately 16.79 years (to the nearest hundredth) for the initial mass of 20 grams to decay to four grams, given a constant decay rate of 6% per year.
To determine how long it will take for the 20 grams of the element to decay to four grams, we need to calculate the time using the given decay rate.
Given:
Initial mass (M₀) = 20 grams
Decay rate: 6% per year
Let's set up an equation to represent the decay of the element:
M(t) = M₀ * (1 - r)^t
Here, M(t) represents the mass at time t in years, M₀ is the initial mass, r is the decay rate (expressed as a decimal), and t is the time in years.
We want to find the value of t when M(t) = 4 grams:
\(4 = 20 * (1 - 0.06)^t\)
Dividing both sides by 20:
\(0.2 = (1 - 0.06)^t\)
Taking the natural logarithm of both sides:
\(ln(0.2) = ln[(1 - 0.06)^t]\)
Using logarithmic properties, we can simplify further:
\(ln(0.2) = t * ln(1 - 0.06)\)
Now, we can solve for t by dividing both sides of the equation by ln(1 - 0.06):
t =\(ln(0.2) / ln(1 - 0.06)\)
Using a calculator, we find:
t ≈ 16.79 years
Therefore, it will take approximately 16.79 years (to the nearest hundredth) for the initial mass of 20 grams to decay to four grams, given a constant decay rate of 6% per year.
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PLZ HELP MEEEEEEEEEEEEEEEEEE
Answers
Answer:
c
Step-by-step explanation:
its makes most sense
Answer:
c. because i look it ☝ done plzzz help me
Iris has 120 songs on her playlist. Each week, she downloads 4 new songs. How do I write an expression to show the total number of songs on Iris's playlist after w weeks
Answers
The expression to show the total number of songs on Iris's playlist after {w} weeks is → y = 120 + 4w.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Given is that Iris has 120 songs on her playlist. Each week, she downloads 4 new songs.
We can write the expression to show the total number of songs on Iris's playlist after {w} weeks as -
y = 120 + 4w
Therefore, the expression to show the total number of songs on Iris's playlist after {w} weeks is → y = 120 + 4w.
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Please help quick!!!!!
Isolate for y
3y=4x +1
Answers
Divide both sides by 3
Suppose MarketOne is a marketing company that has small businesses for clients. MarketOne charges an upfront cost of $350 for new clients and an additional $195 per month to run and maintain the client's website. A linear equation could be used to relate the total cost, in dollars, of MarketOne's services and the number of months that the client's website is running. Which solution is viable for this situation? For full points, write the equation and show your work.
Answers
C = 195m + 350
where the constant term of 350 represents the upfront cost and the coefficient of 195 represents the monthly cost.
To check if this equation is viable for the situation, we can use some reasonable values for the number of months and see if the resulting costs make sense.
For example, if the client's website is running for 6 months, the total cost would be:
C = 195(6) + 350
C = 1,170 + 350
C = 1,520
This means that the client would pay $1,520 in total for 6 months of service from MarketOne.
Similarly, if the client's website is running for 12 months, the total cost would be:
C = 195(12) + 350
C = 2,340 + 350
C = 2,690
This means that the client would pay $2,690 in total for 12 months of service from MarketOne.
Based on these calculations, we can see that the linear equation is viable for the situation. The equation allows us to calculate the total cost of MarketOne's services based on the number of months the client's website is running, which is a useful tool for budgeting and planning.
Determine the intercepts of the line
X-intercept: (__ , __)
Y-intercept: (__, __)
Answers
Therefore the answer should be
x-intercept: (125, 0)
y-intercept: (0, 275)
50 POINTS QUICK Given that ab = x, evaluate the following:
\(a^{2b}\)
Answers
We will try to simplify the given expression into terms of ab and then substitute with ab = x as follows:
2a³b + a²b + ab
a² (2ab + ab) + ab
a² (3ab) + ab
a² (3x) + x
Since ab = x, therefore, a = x/b
Substitute with this in the above expression to get:
(x/b)²(3x) + x
+ x
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![50 POINTS QUICK Given that ab = x, evaluate the following: [tex]a^{2b}[/tex]](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/CUcEU1wPrJhuyBhYzusRkuTVo9rcExHR.png)
Answer:
x^2
Step-by-step explanation:
just cause
please help me with theses!! need to get it done asap.
Answers
Answer:
Question 1 : Pierre is right
Question 2 : 0.85 (because 1 - 0.15 = 0.85)
Question 3 : Less than 1
Step-by-step explanation: