If the difference of two numbers is 7 and their product is 60, what are they?
BRAINLIESTTTTTTTTTTT!!
1. For the following system, if you isolated x in the second equation to use the Substitution Method, what expression would you substitute into the first equation?
2x + y = 8
−x − 3y = −12
3y + 12
−3y + 12
3y − 12
−3y − 12
2. please check my answer for the picture question
I want to know the answer of this question
A 20.0 kg sled is being pulled across a horizontal surface at constant velocity. The pulling force has a magnitude of 80.0N and is directed at an angle of 30.0º above the horizontal. Determine the coefficient of kinetic friction.
The coefficient of kinetic friction is 0.58
To determine the coefficient of kinetic friction [tex](\(\mu_k\))[/tex], we can use the following approach:
1. Identify the horizontal component of the pulling force [tex](\(F_{\text{pull, horizontal}}\))[/tex] and set it equal to the force of kinetic friction [tex](\(f_k\))[/tex].
2. The equation for the horizontal component of the pulling force is:
[tex]\[ F_{\text{pull, horizontal}} = F_{\text{pull}} \cdot \cos(30^\circ) \][/tex]
3. The equation for the force of kinetic friction is:
[tex]\[ f_k = \mu_k \cdot N \][/tex]
4. Since the sled is on a horizontal surface, the normal force [tex](\(N\))[/tex] is equal to the weight of the sled [tex](\(m \cdot g\))[/tex], where m is the mass of the sled and g is the acceleration due to gravity.
Putting these equations together and setting them equal to each other because the sled is moving at constant velocity, we get:
[tex]\[ F_{\text{pull}} \cdot \cos(30^\circ) = \mu_k \cdot m \cdot g \][/tex]
Now, substitute the given values:
[tex]\[ 80 \cdot \cos(30^\circ) = \mu_k \cdot 20 \cdot 9.8 \][/tex]
Solve for [tex]\(\mu_k\)[/tex]:
[tex]\[ \mu_k = \frac{80 \cdot \cos(30^\circ)}{20 \cdot 9.8} \][/tex]
Calculating this expression yields:
[tex]\[ \mu_k \approx 0.58 \][/tex]
So, the calculated coefficient of kinetic friction is approximately 0.58, which matches the provided answer.
Complete question:
A 20 kg sled is being pulled across a horizontal force at a constant velocity the pulling force has a magnitude of 80 N and it's directed at an angle of 30° above the horizontal determine the coefficient of kinetic friction.
What is the multiplicative inverse of 23/47?
Please help! 20 points!
12/3 = 4
it was dilated with a scale factor of 4
A graphic designer charges an hourly rate. In July, the only expense is for advertising. The function graphed models the designer's net income, y, for July for x hours of work.
Select True or False to describe each statement.
The x-intercept represents the amount the designer charges for 1 h of work.
The difference between 0 and the y-intercept represents the amount the designer spent on advertising.
The slope represents the designer's hourly rate.
A zoo has 3 mammals for every 5 reptiles. If the zoo has 72 mammals, how many reptiles does it have? [Type your answer as a number.]
Two benefits of following the 4 step method of problem solving
Following the 4-step method of problem-solving offers the benefits of structured decision-making and enhanced clarity in identifying and addressing core issues. These advantages significantly contribute to effective decision-making and successful implementation of solutions.
Explanation:The 4-step method, involving identification, planning, execution, and evaluation, provides a structured framework for tackling problems. In the identification phase, _Step 1_, issues are precisely pinpointed, aiding in accurate problem definition, crucial for effective decision-making. For instance, in a business scenario, if sales decline is the issue, this step helps clarify if it's due to product quality, marketing, or market changes, enabling focused decision-making.
Moving to the planning phase, _Step 2_, where strategies and solutions are devised, this structured approach ensures that all potential solutions are thoroughly explored, enhancing the quality of decisions made. This step involves a rigorous evaluation of each potential solution, ensuring a comprehensive understanding of their viability and implications.
During the execution phase, _Step 3_, the structured plan is put into action, benefiting from the earlier clarity and well-thought-out decisions. For example, if a marketing strategy was identified as a solution, this phase would involve implementing the chosen strategy with a clear roadmap, minimizing errors and optimizing resources.
Lastly, the evaluation phase, _Step 4_, allows for the assessment of the implemented solution's effectiveness. By systematically analyzing the outcomes against predefined metrics, this step ensures continuous improvement and learning from the process, contributing to more informed decision-making in the future. This structured approach, therefore, not only facilitates effective decision-making but also ensures successful implementation and ongoing refinement of solutions.
Here is complete question;
"What are two benefits of following the 4-step method of problem-solving, and how do they contribute to effective decision-making and solution implementation?"
Evaluate the expression
-8 X 7 + 33 ÷ (-11)
PLEASE HELP ME ASAP
thanks
What is the value of the expression? (−51)0 −510 −1 0 1 Plz Helpppppp MEEEEEEEEEEE
Answer:
that answer is incorrect!! you can check by typing in your browser calculator and typing (-51)^0 im teling you its wrong the answers 1 again answer is 1 you can also check tiger mathh
Step-by-step explanation:
Point blank is the vertex of the angle marked in the figure
we know that
The angle marked in the figure is the angle CEB
The vertex is the intersection point of the line CD and the line AB
The intersection point is the point E
therefore
The answer is
Point E is the vertex of the angle CEB
How do you find the median of these numbers $17.49, $11.29, $16.89, $11.79?
The three angles of a triangle are in the ratio 3:3:4. What information can you give about the triangle?
How to get to standard form from slope intercept?
The sum of three numbers is 62. The second number is equal to the first number diminished by 4. The third number is four times the first. What are the numbers? Which three expressions could be used to represent the numbers? n; n - 4; 4n n; 4 - n; n + 4 n; n/4; n + 4
Answer:
Numbers: 11, 7 and 44
Expressions: n, n - 4, 4n
Step-by-step explanation:
We have that A + B + C = 62, where A, B and C represent numbers.
We know that the 2nd number (B) is equal to the first number (A), diminished by 4. This means B = A - 4
We also know that the 3rd number (C) is four times the first (A), that is to say 4*A. This means C = 4*A
If we replace this information in the first expression, we have
A + B + C = A + (A - 4) + (4*A) = 62
We change an equation of 3 variables to an equation of just one. Now we solve it putting together the terms that have the variable A:
A + A - 4 + 4*A = 62
2A + 4A - 4 + 4 = 62 + 4
6A = 66
A = 11
Our first number is 11, now we find B and C:
B = A - 4 = 11 - 4 = 7
C = 4A = 4*11 = 44
So, the numbers are 11, 7 and 44
If we change the A for a "n", the expressions that represent the numbers are n, n - 4 and 4n
50 POINTS!!
Please show all of your work! Thanks.
vertical angles equal each other so you have
angle E = angle F
9x+12 = 3x +24
subtract 12 from each side
9x = 3x +12
subtract 3x from each other
6x =12
divide both sides by 6
x = 12/6 = 2
x = 2
Please help! Identify the minimum value of the function y=3x^2-12x+10.
A) -2
B) 46
C) 10
D) 2
The minimum value of the function y=3x^2-12x+10 is found using the vertex form, and it is -2. This value corresponds to the y-coordinate of the vertex of the parabola.
To find the minimum value of the function y=3x^2-12x+10, we can use the vertex form of a quadratic equation, or complete the square method. We also know that a quadratic function with a positive coefficient for the x^2 term opens upwards and has a minimum value at its vertex. To get the vertex form, we complete the square:
y = 3(x^2 - 4x) + 10
y = 3(x^2 - 4x + 4 - 4) + 10
y = 3((x-2)^2 - 4) + 10
y = 3(x-2)^2 -12 + 10
y = 3(x-2)^2 - 2
Now, the vertex of this parabola is at (2, -2). As this is the vertex of a parabola that opens upwards, the y-coordinate of this point gives us the minimum value of the function, which is -2.
Name the five categories food can be grouped into.
Geoff and Trevor each roll a fair six-sided die. What is the probability that the product of the numbers they roll is even?
The probability that the product of the numbers they roll is even is, 2/3
We have to given that,
Geoff and Trevor each roll a fair six-sided die.
Here, Number of possible outcomes for Geoff,
1, 2, 3, 4, 5, 6
And, Number of outcomes for Trevor,
1, 2, 3, 4, 5, 6
Hence, Possible outcomes for product of the numbers they roll is even are,
2 x 1 = 2
2 x 2 = 4
2 x 3 = 6
2 x 4 = 8
2 x 5 = 10
2 x 6 = 12
3 x 2 = 6
3 x 4 = 12
3 x 6 = 18
4 x 1 = 2
4 x 2 = 8
4 x 3 = 12
4 x 4 = 16
4 x 5 = 20
4 x 6 = 24
5 x 2 = 10
5 x 4 = 20
5 x 6 = 30
6 x 1 = 6
6 x 2 = 12
6 x 3 = 18
6 x 4 = 24
6 x 5 = 30
6 x 6 = 36
Hence, Total possible outcomes = 24
And., Total outcomes = 6x 6 = 36
So, the probability that the product of the numbers they roll is even is,
P = 24 / 36
P = 12/18
P = 2/3
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Translate this sentence into an equation.
The sum of 14 and holly's age is 55.
Use the variable h to represent holly's age.
Final answer:
The sentence 'The sum of 14 and Holly's age is 55' can be translated into the equation 14 + h = 55, where h represents Holly's age.
Explanation:
To translate the sentence into an equation, we identify the mathematical operations described by the sentence. The sentence 'The sum of 14 and Holly's age is 55' indicates an addition operation involving Holly's age and the number 14. Using the variable h for Holly's age, we form the equation 14 + h = 55. This is a simple linear equation where h represents an unknown value that can be solved for.
In a certain school,course grade range from 0 to 100. Adriana took 4 courses and her average course grade was 90. Roberto took 5 courses. If both students have the same sum of course grade, what was Roberto's
average
The total sum of Adriana’s grades are:
sum of grades = 4 * 90
sum of grades = 360
If Adriana and Roberto has similar total sum, therefore the average of Roberto’s grades is:
Roberto average = 360 / 5 = 72
Answer:
72
For sets a={1,2,3} and b={a,b,c,d}, find the number of functions from a to b,
The length of a rectangle is 5 cm more than twice its width. find the largest possible if the perimeter is at most 64 cm
Ronny read for 2.75 hours yesterday. His older brother read for 1.18 hours and his younger brother read for 0.43 hours. How much longer did Ronny read than his two brothers combined? 1.14 hours 1.57 hours 1.61 hours 2.32 hours
The time they read together, is the sum of their individual study time.
Ronny read 1.14 hours longer than her brothers combined
The given parameters are:
[tex]\mathbf{Ronny = 2.75\ hours}[/tex]
[tex]\mathbf{Older\ Brother= 1.18\ hours}[/tex]
[tex]\mathbf{Younger\ Brother= 0.43\ hours}[/tex]
The combined time her brothers studied is:
[tex]\mathbf{Both = Older + Younger}[/tex]
Substitute known values
[tex]\mathbf{Both = 1.18\ hours + 0.43\ hours}[/tex]
Evaluate like terms
[tex]\mathbf{Both = 1.61 \ hours}[/tex]
The time Ronny read longer is calculated as follows:
[tex]\mathbf{Time = Ronny- Both}[/tex]
Substitute known values
[tex]\mathbf{Time = 2.75\ hours - 1.61\ hours}[/tex]
Evaluate like terms
[tex]\mathbf{Time = 1.14\ hours}[/tex]
Hence, Ronny read 1.14 hours longer than her brothers combined
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On what interval(s) is the graph decreasing? - use interval notation
On what interval(s) is the graph decreasing? - use interval notation
Identify any local maximums values and minimum values. - Algebra 2
Which statement best explains whether △PQR is congruent to △XYZ?
△PQR is congruent to △XYZ because △PQR can be mapped to △XYZ by a rotation of 180° about the origin.
△PQR is congruent to △XYZ because △PQR can be mapped to △XYZ by a translation 5 units down followed by a reflection across the y-axis.
△PQR is not congruent to △XYZ because there is no sequence of rigid motions that maps △PQR to △XYZ.
△PQR is congruent to △XYZ because △PQR can be mapped to △XYZ by a reflection across the y-axis followed by a reflection across the x-axis.
Answer:
△PQR is not congruent to △XYZ because there is no sequence of rigid motions that maps △PQR to △XYZ.
Step-by-step explanation:
We can see from the diagram that XYZ is not the same size as PQR. This means there is no series of rigid motions, which preserve segment length, that maps PQR to XYZ.
Answer:
△PQR is not congruent to △XYZ because there is no sequence of rigid motions that maps △PQR to △XYZ.
Step-by-step explanation:
What is the scale factor use to create this dilation?
Given that we have already tossed a balanced coin ten times and obtained zero heads, what is the probability that we must toss it at least two more times to obtain the first head
Final answer:
The probability that at least two more coin tosses are required to get the first head, after ten tails in a row with a balanced coin, is 50%.
Explanation:
The student is asking about the probability of a specific outcome in a sequence of coin tosses. Given that we have already tossed a balanced coin ten times and obtained zero heads, we want to calculate the probability of having to toss the coin at least two more times to get the first head. The probability of getting a head on any given coin toss is 0.5. To get the first head in at least two more tosses means we need a tail (T) on the next toss and then any outcome (H or T) after that. Therefore, we calculate the probability as follows:
The probability of getting a tail on the first toss is 0.5.The probability of getting any outcome on the second toss is 1 (since it can be either head or tail).The combined probability is the product of the two individual probabilities, which is 0.5 * 1 = 0.5 or 50%. Hence, the probability that we must toss the coin at least two more times to obtain the first head is 50%.
Quinn used compensation to find the product of 37x4. First, she found 40x4=160. Then she adjusted that product by adding 3 groups of 4 to get her final answer of 172. What did she do incorrectly?