Thus, the number of coin for each are- number of dimes be 5 and number of quarters be 1.
Explain about the substitution method:A linear system can be algebraically solved using the substitution approach. One y-value is substituted for another in the substitution procedure. Getting the value of the x-variable in regards of the y-variable is the method's most straightforward step.
Let the number of dimes be 'x'.
Let the number of quarters be 'y'.
Then,
Total amount of parking meter is 6.25.
x + y = 6.25
x = 6.25 - y ....eq 1
Now,
number of dimes is 2 more than 3 times the number of quarters.
So,
x = 3y + 2 ...eq 2
Equating eq 1 and 2
6.25 - y = 3y + 2
4y = 4.25
y = 1.062
y = 1 (approx)
x = 3(1.065) + 2
x = 5.195
x = 5 (approx)
Thus, the number of coin for each are- number of dimes be 5 and number of quarters be 1.
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- 4x +5-12-7x+4+2xI need help
in a hostel 30 students have enough food for 40 days how many students should leave the hostel so that the food is enough for 100 days
Answer:
18 students
Step-by-step explanation:
Construct a triangle PQR in which ∠Q = 75°, PQ = 7 cm and QR = 9 cm. Measure ∠R
Can anyone answer these two questions for me?
Answer:
its the 3rd one
Step-by-step explanation:
Renee knit a total of 39 centimeters of a scarf over 3 nights. How many nights will renee have to spend knitting in order to knit a total of 65 centimeters of the scarf
Answer:
5 nights
Step-by-step explanation:
39 divided by 3 = 13
so we divided 65 by 13 hence your answer 5 nights
Can someone help me with this?
Answer:
\( \sqrt{30} \)
How many 1/10's are in 3?
There are 30 of 1/10's in the number 3
How many 1/10's are in 3?From the question, we have the following parameters that can be used in our computation:
How many 1/10's are in 3?
The above statement is a quotient expression that has the following features
Dividend = 3
Divisor = 1/10
So, we have
Quotient = Dividend /Divisor
Substitute the known values in the above equation, so, we have the following representation
Quotient = 3/(1/10)
Evaluate
Quotient = 30
Hence, there are 30 1/10's
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A project has 75 activities but we have only a partial information as shown below:
activity = H, duration = 24 days, IP = not given
activity = N, duration = 27 days, IP = not given
activity = R, duration = 28 days, IP = not given
activity = K, duration = 43 days, IP = H, N
activity = P, duration = 52 days, IP = H, N
activity = C, duration = 53 days, IP = R
If LF(K) = 155, LF(P) = 161 and LF(C) = 121, find the value of LS(R).
To find the value of LS(R), we can use the concept of the Late Finish (LF) and Late Start (LS) times in project scheduling.
The Late Start time for an activity is the latest possible time it can start without delaying the project, while the Late Finish time is the latest possible time it can finish without delaying the project.
Given the LF values for activities K, P, and C, we can work backward to calculate the LS values and eventually determine the value of LS(R). Here's how:
1. Start with the activity C:
- LF(C) = 121
- Duration of C = 53 days
- LS(C) = LF(C) - Duration of C = 121 - 53 = 68
2. Move to the activities that are dependent on C, which is only activity R:
- IP(R) = C
- LS(R) = LF(C) - Duration of R = 121 - 28 = 93
Therefore, the value of LS(R) is 93.
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which equation represents a circle with a center located at (-2, 2) and a circumfrence of 16 pi
Someone plz help me and show the work 10 points!
Answer:
78°
Step-by-step explanation:
you have to add it up and then divide after multiply
what is the difference between slope and rate of change
The slope is the steepness of a line on a graph and represents the ratio of the vertical change to the horizontal change, the rate of change refers to the amount of change in one variable corresponding to a unit change in another variable.
The slope of a line is a measure of its steepness or incline. It is calculated by dividing the vertical change (change in y-values) by the horizontal change (change in x-values) between two points on the line. The slope indicates how much the dependent variable (y) changes with respect to a unit change in the independent variable (x). In other words, it represents the ratio of the rise (vertical change) to the run (horizontal change) on the graph.
On the other hand, the rate of change is a broader concept that applies to any relationship between two variables, not just linear relationships. It measures how one variable changes in response to a unit change in another variable. The rate of change can be positive, indicating an increase in one variable for every unit increase in the other variable, or negative, indicating a decrease. It can also vary across different intervals of the relationship, indicating that the relationship is not constant.
In summary, the slope specifically refers to the steepness of a line on a graph and is calculated as the ratio of the vertical change to the horizontal change. The rate of change, on the other hand, is a more general concept that describes how one variable changes in response to a unit change in another variable and can be applied to any type of relationship between variables.
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stadium already has 250 people in it at noon.If 35 people per minute enter the stadium,how many are in the stadium at 1:30 p.m. when a concert is supposed to begin?
Answer:
3,400 people
Step-by-step explanation:
First, find how many minutes are between noon and 1:30 pm
This is an hour and 30 minutes, so it will be 90 minutes
Then, multiply 90 by 35, since 35 people enter per minute
90(35)
= 3150
Then, add the 250 people that were already in it
3150 + 250
= 3400
So, there will be 3,400 people in the stadium
Answer:
3400
Step-by-step explanation:
250+35m=noon
Please answer this question now
Answer:
w=9
Step-by-step explanation:
c^2=a^2+b^2−(2ab)cos(99)
w²=8²+3²-2(3*8)cos99 = 80.51
w=√80.51= 8.97 ≅9
The square root of 28 is
Answer:
The answer is 5.29 or the longer answer is 5.29150262
Is AB and CD parallel? Why/why not
Step-by-step explanation:
AB and CD is not parallel because co-interior sum is 180 and another reason is that parallel sign isn't given.
Chelsea received $60 for her birthday. She used three fifths of her birthday money to purchase a pair of jeans. She used two thirds of the remaining birthday money to go to the movies. How much money did Brittany have after attending the movies?
Answer: 24$
Step-by-step explanation: First, you need to do 3/5*60 which is 36$.
Then you need to find 2/3 of 36$ which is 24$. So Brittany now has 24$ after going to the movies. I hope this helps you!
Multiply. Enter the product in simplest form.
2/7 x 4/5
which statement best desonbes a graph of paired points that form a proportional relationship?
A straight line cannot be drawn through all the points and the line passes through the origin.
A straight line can be drawn through all of the the points but the line does not pass through the origin.
A straight line can be drawn through all the points and the lines passes through the point where x = 0 and y=0
A straight line can be drawn through all the points and the line passes through the point (3, 0).
Answer:
A straight line can be drawn through all the points and the line passes through the point where x=0 and y=0. This best describes a graph of paired points that form a proportional relationship.
If she considers 10 m to be the height of the triangle, what should she use as the triangle’s base?
Area of a triangle = 1/2 (base x height) Here, we are given the height of the triangle as 10 m; hence, we can use the above formula to determine the base of the triangle.
Area of a triangle = 1/2 (b x 10) Given that we want the base of the triangle, we can rearrange the above equation to obtain the following:
b = (2 x Area of a triangle)/10
Since we do not have the value of the area of the triangle, we will use the Pythagorean theorem to find the third side, which will assist us in determining the area of the triangle.
Pythagorean Theorem states that:
Hence, we can use this theorem to calculate the third side of the triangle. The triangle's hypotenuse is equal to 10m, which is the given height of the triangle.
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Given point A at(3, 2) and B at (4,1). Find the slope of line segment AB.
Answer:
-1
Step-by-step explanation:
4-3/1-2=slope
1/-1
-1
Which of the following is true based on the graph? Nearly 200
∘
of cancer cases resorted in the U.S. are aithbusabis to smoking Physicat activity is a nsk factor for cancer cases reported in the U'. S. Acohol is a greator risk factoe for cancer cases than smokng
Based on the provided graph, the correct statement is that nearly "200 of the cancer cases reported in the U.S. are attributable to smoking".
The graph visually represents statistical data or relationships between variables by drawing lines or bars that connect data points or present information in a graphical format. In this case, the graph likely shows the attribution of cancer cases to smoking in the U.S.
Smoking is a dangerous practice that is known to be one of the leading causes of cancer worldwide. The link between smoking and cancer is well-established, with tobacco smoke containing various harmful chemicals that can damage DNA and increase the risk of developing cancer. It is estimated that nearly 25% of all cancer cases can be attributed to smoking.
The graph likely presents data indicating the number of cancer cases attributable to smoking in the U.S. Based on the information provided, the graph suggests that nearly 200 cancer cases in the U.S. can be directly linked to smoking.
Therefore, the correct statement is that nearly 200 of the cancer cases reported in the U.S. are attributable to smoking.
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At which root does the graph of f x x 5 3 x 2 2 touch the x axis?
The root of the graph of function f(x) = (x-5)³(x+2)² touch the x-axis at -2 and 5.
Given that,
The function is f(x)= (x-5)³(x+2)²
We have to find at which root does the graph function touch the x-axis.
We know that,
What is a function?Mathematical calculus' core component is functions. The unique forms of relationships are the functions. When it comes to arithmetic, a function is represented as a rule that produces a different result for each input x.
Take the function
f(x) = (x-5)³(x+2)²
f(x) = 0 if a curve touches the x-axis.
⇒ (x - 5)³(x + 2)² = 0.
But if ab = 0
So, a=0 and b=0
⇒ (x - 5)³ = 0 and (x + 2)² = 0
⇒ (x - 5) = 0 and x + 2 = 0
⇒ x=5 and x=-2.
Therefore, The root of the graph of function f(x) = (x-5)³(x+2)² touch the x-axis at -2 and 5.
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assuming that workers' salaries in your company are uniformly distributed between $10,000 and $60,000 per year, find the probability that a randomly chosen worker earns an annual salary between $45,000 and $50,000.
According to the uniform distribution, there is a 0.1= 10% chance that a worker selected at random will have an annual wage between $45,000 and $60,000.
Uniform Distribution:
In statistics, uniform distribution refers to a type of probability distribution in which all outcomes are equally likely. A deck of cards has within it uniform distributions because the likelihood of drawing a heart, a club, a diamond, or a spade is equally likely.
An uniform distribution has two bounds, a and b.
The probability of finding a value between c and d is:
P(c ≤ X ≤ d) = \(\frac{d-c}{b-a}\)
given that , workers' salaries in your company are uniformly distributed between $10,000 and $60,000 per year
a = 10,000 , b= 60,000 , c = 45,000 and d = 50,000
The probability is
P(45,000 ≤ X ≤ 50,000) = \(\frac{50,000-45,000}{60,000-10,000}\)
= 0.1
0.1 = 10% probability that a randomly chosen worker earns an annual salary between $45,000 and $60,000
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Select from the drop-down menu to explain how to find the quotient of 726.02 and 1,000. To find the quotient of 726.02 and 1,000, move the decimal point in 726.02
Answer:
Move decimal points in 726.02, 3 points in the left direction
Step-by-step explanation:
Given
Quotient of 726.02 and 1000
This is represented as:
\(Quotient = \frac{726.02}{1000}\)
The denominator 1000 has 3 zeros.
This implies that the decimal points will be moved in the left direction by 3 points.
So:
\(Quotient = \frac{726.02}{1000}\)
\(Quotient = 0.72602\)
Answer:
To find the quotient of 726.02 and 1,000, move the decimal point in 726.02 three places to the left.
3
87. 8
98
-
8[?].
the question didn’t have enough letters for me to post so i’m using this to post it
A first number plus twice a second number is 10. Twice the first number plus the second totals 14. Find the numbers
Answer:
Below
Step-by-step explanation:
x + 2y = 10 given
2x + y = 14 given multiply this equation by -2 to get :
-4x - 2y = - 28 add to top equation to get
-3x = -18 so x = 6
x + 2y = 10 so y = 2
RS=2x-8, ST = 11, RT = x+10
Answer:
\(Equation~=~\Large\boxed{2x+3=x+10}\)
\(x~=~\Large\boxed{7}\)
\(RS~=~\Large\boxed{6}\)
\(RT~=~\Large\boxed{17}\)
Step-by-step explanation:
Given information
\(RS=2x-8\)
\(ST=11\)
\(RT=x+10\)
Derived expression from the given information
Presumably, I think this is a combination of segments
\(RS+ST=RT\)
Substitute values into the given expression
\((2x-8)+(11)=(x+10)\)
Combine like terms
The following is the expression
\(\Large\boxed{2x+3=x+10}\)
Subtract 3 on both sides
\(2x+3-3=x+10-3\)
\(2x=x+7\)
Subtract x on both sides
\(2x-x=x+7-x\)
\(\Large\boxed{x=7}\)
Substitute the x value into corresponding expressions to determine the final value
\(RS=2x-8=2(7)-8=14-8=\Large\boxed{6}\)
\(RT=x+10=(7)+10=\Large\boxed{17}\)
Hope this helps!! :)
Please let me know if you have any questions
Find parametric equations for the tangent line to the curve with the given parametric equation s at the specified point. x = t2 + 1, y = 4√t, z = et2-t; (2,4,1)
To find the parametric equations for the tangent line to the curve at the point (2,4,1), we need to first find the derivative of the parametric equations with respect to t.
Taking the derivative of x = t^2 + 1 with respect to t, we get dx/dt = 2t.
Taking the derivative of y = 4√t with respect to t, we get dy/dt = 2/√t.
Taking the derivative of z = et^2-t with respect to t, we get dz/dt = (2t-1)et^2-t.
At the point (2,4,1), t = 2. Therefore, dx/dt = 4, dy/dt = 1, and dz/dt = 6e^2.
So, the direction vector of the tangent line is (4,1,6e^2).
To find the parametric equations, we use the point-slope form of a line.
Let r(t) = (x,y,z) be the point on the tangent line. Then,
r(t) - (2,4,1) = t(4,1,6e^2).
Expanding, we get
x - 2 = 4t,
y - 4 = t,
z - 1 = 6e^2t.
Therefore, the parametric equations for the tangent line are
x = 4t + 2,
y = t + 4,
z = 6e^2t + 1.
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s there a bst t and a query value x such that the search for x in t visits the following sequence of key values in the given order? 11, 41, 71, 101, 141 you need to enter either yes or no on the answer sheet. (b) is there a bst t and a query value x such that the search for x in t visits the following sequence of key values in the given order? 101, 141, 41, 11 you need to enter either yes or no on the answer sheet. (c) is there a bst t and a query value x such that the search for x in t visits the following sequence of key values in the given order? 1
a. Yes, there is a BST B and a query value X such that the search for X in B visits the following sequence of key values in the given order.
b. No, there is no BST B and a query value X such that the search for X in B visits the following sequence of key values in the given order.
c. Yes, there is a BST t and a query value x such that the search for x in t visits the following sequence of key values in the given order.
What is Binary Search Tree?A binary search tree (BST) is a data structure used to store a set of elements in a way that allows efficient search, insertion, and deletion operations.
It is a binary tree in which each node has at most two children, called left and right children.
Here the values are 11, 41, 71, 101, 141 The given questions can be answered as follows
(a) Yes, it is possible to construct a BST where the search for x visits the sequence of key values 11, 41, 71, 101, 141.
(b) No, it is not possible to construct a BST where the search for x visits the sequence of key values 101, 141, 41, 11.
This is because in BST, the values to the left of a node are always smaller than the node's values, and the values to the right are always larger.
Therefore, if the search reaches a node with a value greater than the value of the query, it will never be reached
revisit nodes with smaller values.
(c) Yes, it is possible to construct a BST where the search for x visits the key value 1 sequence. The tree would consist of a single node with a key value of 1.
Therefore
a. Yes, there is a BST B and a query value X, so a search for X from B visits the next sequence of key values in the given order.
b. No, there is no BST B and a query value of X, so a lookup of X from B visits the next sequence of key values in the given order. c. Yes, there is a BST t and a query value x, so a search for x from t visits the next sequence of key values in the given order.
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Write four words that describe the operas
can be used with expressions