Ray starts walking to school at a rate of 2 mi/h. Ten minutes later, his
sister runs after him with his lunch, averaging 6 mi/h.b. Solve the system
to determine how much time it took Ray's sister to catch up to him.
Your answer
Answers
Answer:
Ray walks 15 minutes prior to his sister and walk for 5 minutes to catches up
Step-by-step explanation:
The computation of the time taken is as follows:
Let us assume the Ray time be t
So his sister time would be t - 10
Since Ray distance is 2t
So his sister distance is 6(t - 10) = 6t - 60
As the distance is the same
So, the following equation must be made
2t = 6t - 60
-4t = -60
t = 15
Therefore Ray walks 15 minutes prior to his sister and walk for 5 minutes to catches up
Related Questions
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).
Central Tendency:Question 4
Using the data below, what is the median?
14, 12, 12, 18 , 22 , 20, 17
Select one:
10
18
12
17
Answers
Answer:
17
Step-by-step explanation:
14, 12, 12, 18 , 22 , 20, 17
Put the numbers in order from smallest to largest
12, 12, 14,17, 18 , 20 , 22
The median is the middle number
12, 12, 14, 17, 18 , 20 , 22
The middle number is 17
Sadie brought $28.00 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1/3 as much as the sketchbook, and the sketchbook cost 1/2 the cost of the paint set. Sadie had $3.00 leftover after buying these items. What was the cost of each item?
Answers
Answer:
cost of paint set = $ 13.64
cost of sketch book = $ 6.82
cost of brush = $ 4.55
Step-by-step explanation:
Let the cost of paint set is s.
cost of sketch book = s/2
cost of brush = s/3
Money spent = $ 28 - $ 3 = $ 25
So,
s + s/2 + s/3 = 25
6 s + 3 s + 2 s = 150
11 s = 150
s = $ 13.64
cost of paint set = $ 13.64
cost of sketch book = $ 6.82
cost of brush = $ 4.55
Choose the most reasonable unit of measure.
3) Area of a baseball infield: 925
A) mm² B) km² C) m² D) cm²
4) Area of a lake: 4
A) mm² B) km² C) m² D) cm²
5) Area of a door: 20
A) yd² B) in.² C) ft² D) mi²
Answers
The most reasonable unit of measurement for 3) is option (C): \(m^2\), 4) is option (B): \(km^2\), 5) is \(in^2\).
3) The most reasonable unit for the measurement of the baseball field is \(m^2\) because the baseball field covers a large distance which is not accurately measured by small units \(cm^2\) or \(mm^2\) where it is not that big to be measured in large units like \(km^2\). So option C is the correct option.
4) The most reasonable unit for the measurement of a lake is \(km^2\) because lakes are generally very large water bodies that cover a large distance and are not accurately measured by small units like \(cm^2\) , \(mm^2\) , and \(m^2\). So option B is the correct option.
5) The most reasonable unit for the measurement of the area of a door is \(in^2\) because doors are relatively small compared to the other options and are often measured in square inches or square feet. So option B is the correct option.
Therefore the correct answers question-wise are:
3) \(m^2\)
4) \(km^2\)
5) \(in^2\)
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two parallel lines are cut by a transversal what is the measure of 7
Answers
Answer:
57
Step-by-step explanation:
since angle 3 is 57 (180-123=57) and 3 and 7 are corresponding, and corresponding angles are congruent,angle 7=57
Answer:
angle 1 and angle 7=180°[co exterior angle]
123°+ <7=180°
<7=180°-123°
<7=57°
What is the length of the DF? (Round to the tenths place)
Answers
The length of DF in the triangle DEF is 10.8 units
The given triangle is DEF
We have to find the length of side DF
We know that the tan function is a ratio of opposite side and adjacent side
tan 42 = DF/12
0.9 =DF/12
DF=12×0.9
DF=10.8
Hence, the length of DF in the triangle DEF is 10.8 units
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Which choice is equivalent to the quotient below?
√32
OA.
√2
B. 4
C. 2
D. 24
SUBM
Answers
Answer:
C (2)
Step-by-step explanation:
• √32 = 4√2 ( bc √32 = √16×2 = √16×√2 = 4×√2 )
• √8 = 2√2 ( bc √8 = √4×2 = √4×√2 = 2×√2 )
So √32 ÷ √8 is equal to 4√2 ÷ 2√2
And there √2 cancels for both
So what you're left with is 4 ÷ 2
And 4÷2 = 2
Solve for C
117.5 and 156.5
Answers
The measure of the interior angle c is equal to 30° considering the exterior angle 156.5° of the triangle.
Exterior angle of trianglesThe exterior angle of a triangle is equal to the sum of the two opposite interior angles.
To calculate for the interior angle C°, we shall add C to the other interior angle which is also opposite the exterior angle 156.5 as follows:
C + 117.5 = 156.5
collect like terms
C = 156.5 - 117.5
C = 30°
In conclusion, the measure of the interior angle c is equal to 30° considering the exterior angle 156.5° of the triangle.
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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:
Ashaniea Hinds Question 9-10 Points Mar 05, 10:34:28 AM ? Find the volume of a right circular cone that has a height of 15.2 m and a base with a radius of 16.2 m. Round your answer to the nearest tenth of a cubic meter. Submit Answer Answer: Privacy Policy Terms of Service
Answers
Step 1
List all parameters
Height h = 15.2m
Radius r = 16.2
Step 2
Write formula of volume of a cone
\(\begin{gathered} \text{Volume of a cone} \\ =\text{ }\frac{1}{3}\text{ }\pi r^2h \\ =\text{ }\frac{1}{3}\text{ x 3.142 x 16.2 x 16.2 x 15.2} \\ =\text{ }\frac{1\text{ x 3.142 x 16.2 x 16.2 x 15.2}}{3} \\ =\text{ }\frac{12533.7145}{3} \\ =4177.9m^3 \end{gathered}\)can you please send me a image how to put the answer in
Answers
Given:
The function is
\(x^2-4=0\)The objective is to fill the box.
The given equation can be factorized as,
\(\begin{gathered} x^2-4=0 \\ x^2=4 \\ x=\sqrt[]{4} \\ x=\pm2 \end{gathered}\)The table values will be,
Hence, the required table values are obtained.
Question Jo Agri-Small Business limited expenses on petrol for their fleet is R 4850,00 at the end of September and they have a balance of R106 360,00 remaining in their account. The company has used 25% of its September income on Salanes, 11% on electricity, rates and taxes, and 42% of the remaining on Insurance and investments. The total income and expenditure in September are g. income is R193.236,00 and expenditure is R. 4.850,00 b. income is R 106360,00 and expenditure is 2299 596, 00 c. income is R106 360,00 and expenditure is R 4850,00 d Income is R299596,00 and expenditure is R193 236,00
Answers
The total income and expenditure of Agri-small business limited in September is R 299596 and expenditure is R 193236.
How to find the Expense?We have to find the total income and expenditure in September.
The equation for insurance is mathematically given as :
Insurance = 42% of the balance
Insurance=0.42*0.64A
Insurance=0.2688A.
Total expenditure after all other expenditures = 0.64A-0.2688A
Total expenditures after all other expenditures = 0.3712A.
Total expenditures after all other expenditures is as 111210 (106360 +4850)
Equating both the equation and value:
111210 = 3712 A
A = 299596
Thus The total income is 299596.
Therefore the calculation of expense is given as:
Expense=0.25A+0.11A+0.2688A+4850
Expense=0.6288A+4850
=0.6288*299596+4850
=193236
The expense is 193236.
Hence, the total income and expenditure in September are "Income is R 299596 and expenditure is R 193236.
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Which of the following equations represents a linear function?
2x − 4 = 6
x = −2
y equals one half times x squared
y equals two thirds times x plus 4
Answers
Answer:
y equals 2/3 x plus 4 is correct.
The equation y= 1/3x + 4 represents a linear function.
What is Linear Equation?A linear function is a function that can be represented by a straight line. The equation of a linear function is typically in the form y = mx + b, where m represents the slope and b represents the y-intercept.
1. 2x − 4 = 6 is a linear equation, but it is not a function because it does not isolate y.
2. x = −2" represents a vertical line with a slope of infinity, but it does not have the form y = mx + b.
3. y = 1/2x² represents a quadratic function because it contains x raised to the power of 2.
4. y= 1/3x + 4 represents a linear function.
Therefore, the equation y= 1/3x + 4 represents a linear function.
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Explain why multiplying by 8/3 gives the same result as first multiplying by 8 and then multiplying by 1/3
Answers
The outcome of multiplying by 8/3 is the same as multiplying with 8 and then by 1/3.
Explain multiplication of fraction?The two fractions that want to multiply come first when multiplying fractions.
You multiply both denominators (the lower numbers) by the sum of the numerators (this same top numbers). Finding the sum of two or maybe more fractions is known as multiplying fractions. When multiplying fractions, a different approach is taken than when adding and subtracting fractions.For the stated number.
The number given is 8/3.
Other set of numbers are-
Multiplying 1/3 with 8.
= 1/3*8
= (1*8)/3
= 8/3, which is equal to the stated number.
Thus, the outcome of multiplying by 8/3 is the same as multiplying with 8 and then by 1/3.
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To keep a heavy box sliding across a carpeted floor at constant speed, a person must exert a force on the box. This force is used primarily to overcome which of the following forces?
A. Air resistance.
B. The weight of the box.
C. The frictional force exerted by the floor on the box.
D. The gravitational force exerted by the Earth on the box.
Answers
Answer:
D bcuz without gravity everything would be floating and you wouldn't get it anywhere
Answer:
It’s c
Step-by-step explanation:
If Rob had average monthly expenses of $940.21 and his expenses in April were $945.50 and his expenses in May were $875.13, what were his expenses in June?
Answers
Answer:
$1000
Step-by-step explanation:
If we assume that the given average applies to April, May, and June expenses, then we can use the formula for average to find June's expenses.
average expenses = (April +May +June)/3
940.21 = (945.50 +875.13 +June)/3
(3)(940.21) = 1820.63 +June
2820.63 -1820.63 = June = 1000.00
Rob's expenses in June were $1000.00.
Which statement is true?
a
b
ОООО
ZCBE and ZDEB are alternate angles.
ZFEG and ZCBE are alternate angles.
ZCBE and ZDEB are same-side interior angles.
ZFEG and ZDEB are same-side interior angles.
с
Answers
ZCBE and ZDEB are same-side interior angles.
is the correct answer
What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
![What is the meaning of "[tex] \varphi (x,y)[/tex] be [tex] y\wedge \phi (x)[/tex] "?](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/IEnaK9Mnw3ftGn7VoWymvKjzqCukNTp6.png)
Answers
The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.
The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.
The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.
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A four-year college’s application process takes into account all of the following except. HELP MEEEEE
Answers
Answer:
C. middle school grades
Step-by-step explanation:
Colleges want to see if students challenged themselves by taking rigorous courses, and they also want to know what kind of grades students were able to maintain. They also like to take into account the scores you get on standardized tests because these tests can give a relatively accurate idea of a student's mastery of certain subjects. The only thing they don't pay attention to are the grades you earned in middle school. Since these grades aren't very recent, they don't serve as an accurate measure of a student's academic ability, which is why colleges prefer to look at the grades a student earns during their time in high school.
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A garden table and a bench cost $903 combined.The garden table costs $47 less than the beach.What is the cost of the bench?
Answers
Let the cost of a garden table be $g and that of a bench be $b
From the first statement, we have
\(undefined\)Help me solve this please !! X^2+6x+y^2+8y=52
Answers
Starting with the x terms, we add (6/2)^2 = 9 to both sides of the equation to get:
x^2 + 6x + 9 + y^2 + 8y = 61
We can simplify the left side of the equation by factoring the perfect square trinomial:
(x + 3)^2 + y^2 + 8y = 61 + 9
Next, we complete the square for the y terms by adding (8/2)^2 = 16 to both sides of the equation:
(x + 3)^2 + y^2 + 8y + 16 = 86
We can simplify the left side of the equation by factoring the perfect square trinomial:
(x + 3)^2 + (y + 4)^2 = 86
This is the equation of a circle with center (-3,-4) and radius sqrt(86)
Sponsors have offered to contribute $10 for each mile run by fundraiser marathon runners. Mile markers have been set up to determine the number of miles run by each participant. The table below includes the results of the marathon. Which of the following would be the most accurate measurement for the total number of miles run by the participants?
90 miles
90.12 miles
100 miles
60 miles
90.1 miles
Answers
The most accurate measurement for the total number of miles run by the participants is 90.12 miles.
The correct answer choice is option B.
Which of the following would be the most accurate measurement for the total number of miles run by the participants?The total number of miles run by the participants is the sum of the miles run by each runner, that is,
Total number of miles = Mark + Ted + Carol + Jose + Lashonda + Treyveon + Lauren + Jeff + Victor
= 8 + 12 + 16 + 15 + 0.1 + 0.02 + 18 + 12 + 9
= 90.12 miles
Hence, the total number of miles run by all participants in the marathon is 90.12 miles.
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On average, a car will depreciate by about 21% of its value each year. If anew car costs $20,000, which equation can be used to find theapproximate number of years, n, the car takes to reach a value of $7,790?
Answers
The formula for the final value of an object after n years with decrease in cost at rate of r% per year is,
\(FV=IV(1-\frac{r}{100})^n\)Determine the relation between initial value and final value of car.
\(\begin{gathered} 7,790=20,000(1-\frac{21}{100})^n \\ 7,790=20,000(0.79)^n \end{gathered}\)Last option is correct.
a) You have a piece of string that is 36m long. find the areas of all the shapes you can make which have a perimeter of 36m. b) A piece of land has an area of 100m². How many meters of wire fencing is needed to enclose it?
Answers
a. The areas of the square is 81m² and for rectangle is 72m²
b. The perimeter of the square is 40m
What are the areas of all the shapes you can make which have a perimeter of 36m?a. To determine the area of the shapes in which we have that have a perimeter of 36m, we can consider rectangle and square.
For a square;
Perimeter of square = 4L
36 = 4L
L = 9m
The area of the square will be L² = 9² = 81m²
For a rectangle;
The perimeter of rectangle is;
P = 2(L + W)
We can assume that two numbers which will represent the length and width are;
L = 12m, W = 6m or L = 6m, W = 12m
A = 12 * 6 = 72m²
b.
The area of the wire is 100m², the perimeter for this can be calculated when we consider square and rectangle;
Perimeter of square = 4L
Area of square = L² = 100m²
L = 10m
The perimeter of the wire is 4(10) = 40m
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 Mr. Rodriguez’s holiday greeting cards in his gift shop before the holiday he sells the cards at a 150% markup on the price he paid to his supplier after the holiday to discuss the car 30% what is the Post holiday price of two cars he originally bought for me supply of supplier for $1.50 and $2.00, respectively
Answers
1.Which of the following statements is true for the expression 2w3 + 7w2 - 4w?
A. The power of the expression is
B. A factor of the expression is -4w.
C. The coefficient of the expression is w.
D. The expression has 3 terms.
Answers
Answer: D
Step-by-step explanation:
The given expression is 2w3 + 7w2 - 4w.
The power of the expression is the highest exponent of the variable w, which is 3. However, this is not one of the options given.
A factor of the expression is a term or expression that divides the given expression completely. -4w is not a factor of the given expression.
The coefficient of a term is the numerical factor that is multiplied by the variable. The coefficient of the first term 2w3 is 2, and the coefficient of the second term 7w2 is 7. The coefficient of the last term -4w is -4. Therefore, the statement "The coefficient of the expression is w" is false.
The given expression has three terms: 2w3, 7w2, and -4w. Therefore, the statement "The expression has 3 terms" is true.
everyone have a great day & take care
How do you simplify (2/3) with a sqrt of 2
Answers
please i’ll fail if i don’t get this right. please i’ll give brainlyist The current temperature of 15°F below zero is 18°F below the high temperature of the day. What is the high temperature for the
day?
OA. 5°F
ов. 33°F
OC. 3°F
OD. 33°F
Answers
Answer:
I think its C
Step-by-step explanation:
A junior high athletic club is making blankets and plans to sell them as a fundraiser.They are able to make 10 blankets and want to sell them for $35 each.The total amount raised can be represented by y = 35x. A: Is this function discrete or continuous?B: Determine the domain.C: Determine the range.
Answers
Functions can either be discrete or continuous.
The function is discreteThe domain and the range are \(\mathbf{[0,\infty)}\).The function is given as:
\(\mathbf{y = 35x}\)
Where x represents the number of blankets
x can only take whole numbers (i.e 0, 1, 2....)
A discrete function is such that can only non-decimal values.
Hence, the function is discrete
(b) The domain
In (a), we listed the values of x to be: (0,1,2...)
This means that, the domain is: \(\mathbf{[0,\infty)}\)
(c) The range
When x = 0, we have:
\(\mathbf{y = 35x}\)
\(\mathbf{y = 35 \times 0 = 0}\)
This means that, the range is: \(\mathbf{[0,\infty)}\)
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how many digits are there in 5¹⁰.4⁴.6³?
Answers
Answer:
90000000000 (11 digits)
Step-by-step explanation:
9216 x 5 to the 10th power