The shorter piece is 37 cm
The longer piece is 48 cm:
Step-by-step explanation:
Divide 85 cm by 2 = 42.5
Divide 11 cm by 2 = 5.5
Add them together = 48 cm
85 cm - 48 cm = 37 cm
Length of 1st piece = 37 cm
Length of 2nd piece = x + 11 = 37 + 11 = 48 cm
Now -
Length of smaller piece = 37 cm
Length of larger piece = 48 cm
We have a board which is 85cm in length and must be cut so that one piece is 11cm longer than the other piece.
We have to find the length of each piece, length of the smaller piece, length of the larger piece.
The sum of three numbers such that the next number is 'n' times more than the previous number is 99. Express 'n' as a function of the very first number (say x).Now -
x + (x + n) + (x + 2n) = 100
3x + 3n = 99
x + n = 33
n = 33 - x
According to the question, we have -
Length of board = 85cm.
Assume that the length of first piece be x. Then -
x + ( x + 11 ) = 85
2x + 11 = 85
2x = 74
x = 37
Hence -
Length of 1st piece = 37 cm
Length of 2nd piece = x + 11 = 37 + 11 = 48 cm
Now -
Length of smaller piece = 37 cm
Length of larger piece = 48 cm
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How many standard deviations from the mean is considered unusual? Why?
Answer:
It depends on how the data are distributed.
Step-by-step explanation:
If the data follow a normal (Gaussian) distribution, which is the most common, then 2 deviations from the mean is considered unusual because less than 4.55% of the data are in this situation.
given matrix A is 2x3 matrix, matrix C is a 2x1 matrix and A x B = C. what are the demensions of matrix B?
The dimensions of matrix B must be 3x1 to satisfy the given matrix multiplication where a 2x3 matrix A is multiplied by B to result in a 2x1 matrix C.
The student is asking about the dimensions of a matrix B that when multiplied by a given 2x3 matrix A, results in a 2x1 matrix C. In matrix multiplication, the product of an mxn matrix A and an nxp matrix B yields an mxp matrix C. The resulting matrix, C, has the same number of rows as the first matrix (A) and the same number of columns as the second matrix (B). Additionally, the number of columns in the first matrix must match the number of rows in the second matrix. Therefore, since matrix A has 3 columns, matrix B must have 3 rows for the multiplication to be defined. And since matrix C has 1 column, matrix B must have 1 column as well. So, the dimensions of matrix B are 3x1.
2 intersecting lines are shown. A line with points M, H, K intersects a line with points J, H, L at point H. 4 angles are created. Clockwise, from the top, the angles are blank, (x + 15) degrees, blank, (2 x minus 20) degrees.
What is mAngleMHJ?
35°
50°
72.5°
92.5°
Answer:
m∠MHJ = 50°
========================
Step-by-step explanation:
Best explanation is as shown in the attached figure.
As shown in the figure:
x + 15 = 2x - 20 ⇒ vertex angles are congruent
solve for x ⇒ ∴ x = 35°
So, ∠MHJ = 2x - 20 = 2*35 - 20 = 50°
========================================
The measure of all angles will be:
∠MHJ = 2X - 20° = 2 * 35 - 20 = 50°
∠JHK = 180° - ∠MHJ = 180 - 50 = 130°
∠KHL = X + 15° = 35° + 15° = 50°
∠LHM = ∠JHK = 130°
Answer:
B 50 degrees
Step-by-step explanation:
Estimate the difference between 957-639
Answer:
320
Step-by-step explanation:
When estimating, you have to round numbers to make them easier to work with.
957 becomes 960
639 becomes 640.
960 - 640 = 320
Answer:
Step-by-step explanation:
Write a word problem with the information below.
89 x 2 = 178
178 + 89 = 267
Both doctors saw 267 patients altogether.
Answer:
there were 2 doctors. first doctor saw 89 patient. Second doctor saw the twice of first doctor. calculate how much patient did second doctor saw
Use the order of operations to evaluate the expression below.
15- [14 = (15-8) + 13 - 14 - 10
The method to solve the expression is given.
What is PEMDAS?The abbreviation PEMDAS is used to indicate the sequence of steps to be taken when resolving expressions with multiple operations. P is for "parentheses," E is for "exponents," M is for "multiplication," D is for division, A is for addition, and S is for subtraction.
The given expression,
15- [14 = (15-8) + 13 - 14 - 10
First, we solve the parenthesis.
15-14 = 7 + 13 - 14 -10
Now, adding the terms.
15-14 = 21 - 24
Subtracting the terms.
1 = -3
Which is contradiction.
Therefore, the expression is wrong.
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To avoid a service fee, your checking account balance must be at least $500 at the end of each month. Your current balance is $529.57. You use your debit card to spend $126.08. What possible amounts can you deposit into your account by the end of the month to avoid paying the service fee?
Answer:
$96.51
Step-by-step explanation:
529.57 - 126.08 = 403.49
500 - 403.49 = 96.51
The possible amount you deposit into your account by the ed of the month to avoid paying the service fee would be $96.51
Answer:
$96.51
Step-by-step explanation:
Callie and Madison went to buy concert tickets for themselves and their five friends. The
tickets for the closest section were $45 each, and $30 for each ticket in the other section. They
ended up spending a total of $210. How many tickets of each type did they buy?
Answer:
They bought 0 ticket of closest section and 7 tickets of other section
Step-by-step explanation:
- Callie and Madison went to buy concert tickets for themselves and
their five friends
- That mean they are 7
- Tickets for the closest section were $45 each
- Tickets for other section were $30 each
- They ended up spending a total of $210
- Assume that they buy x tickets for closest section and y tickets for
the other section
∵ They want 7 tickets
∴ x + y = 7 ⇒ (1)
∵ The cost of the closest section ticket was $45
∵ The cost of the other section ticket was $30
∵ They spent $210 on them
∴ 45x + 30y = 210
- All terms have common factor 15, then divide them by 15
∴ 3x + 2y = 14 ⇒ (2)
* Now we have a system of equations to solve
- Multiply equation (1) by -2 to eliminate y
∴ -2x - 2y = -14 ⇒ (3)
- Add equations (2) and (3)
∴ x = 0
- substitute the value of x in equation (1) to find y
∴ 0 + y = 7
∴ y = 7
∵ x represents the number of tickets of the closest section and y
represents the number of tickets in the other section
∴ They bought 0 ticket of closest section and 7 tickets of other
section
Garland put 2b+ 3 dollars in the bank in the first week. The following week he doubled the first week’s savings and put that amount in the bank. The next week he doubled what was in the bank. If he now has $477 in Thebes bank, how much did he put in the bank the first week?
9. The upper atmosphere of Neptune can get as cold as
-218°C. The inner core of the planet can be as hot
as 7,000°C. What is the difference between the two
temperature extremes?
Answer: 7218
Step-by-step explanation: i mean you just add them up chief think of a number line that whole space between them
Which of the following is equivalent to the complex number i^{34}
Choose 1 answer:
(Choice A) 1
(Choice B) i
(Choice C) -1
(Choice D) -i
Answer:
Choice C, -1
Step-by-step explanation:
The trick here is to look at this as a pattern.
[tex]\sqrt{-1}[/tex] is i to the 1st power.
[tex]-1[/tex] is i to the 2nd power.
[tex]-\sqrt{-1}[/tex] is i to the 3rd power.
[tex]1[/tex] is i to the 4th power.
So what we do to solve something like this is divide the power by 4, and see how far away the number is from the pattern.
In other words, we divide, and our remainder is how many powers to count up to (a remainder of 0 is the 4th power).
So 34/4 = 8 with a remainder of 2. Therefore, it's i to the 2nd power, which is -1.
How?? U have to simplify but how?
[tex]\bf \sqrt{49}+(3+2)^2\implies \sqrt{49}+(5)^2\implies \sqrt{49}+25\implies 7+25\implies 32[/tex]
Answer: 43
Step-by-step explanation:
You have to use P.E.M. D.A.S. (Parentheses, Exponents, multiplication, division, addition, and subtraction.)
Starting with parentheses, 3+2= 6
Moving onto exponents, 6 squared is thirty six. Square roots, being the opposite of squares, are also done here. The square root of 49 is 7.
Now you add. 36 +7
The answer should be 43, unless I’m mistaken.
A florist can make a grand arrangement in 18 minutes or a simple arrangement in 10 minutes. The florist makes at least twice as many of the simple arrangements as the grand arrangements. The florist can work only 40 hours per week .The profit on the simple arrangements is $10 and. the profit on the grand arrangements is $25. hind the number and type of arrangements that the florist should produce to maximize profit.
Answer:
See explanation
Step-by-step explanation:
Let x be the number of simple arrangements and y be the number of grand arrangements.
1. The florist makes at least twice as many of the simple arrangements as the grand arrangements, so
[tex]x\ge 2y[/tex]
2. A florist can make a grand arrangement in 18 minutes [tex]=\dfrac{3}{10}[/tex] hour, then he can make y arrangements in [tex]\dfrac{3}{10}y[/tex] hours.
A florist can make a simple arrangement in 10 minutes [tex]=\dfrac{1}{6}[/tex] hour, so he can make x arrangements in [tex]\dfrac{1}{6}x[/tex] hours.
The florist can work only 40 hours per week, then
[tex]\dfrac{3}{10}y+\dfrac{1}{6}x\le 40[/tex]
3. The profit on the simple arrangement is $10, then the profit on x simple arrangements is $10x.
The profit on the grand arrangement is $25, then the profit on y grand arrangements is $25y.
Total profit: $(10x+25y)
Plot first two inequalities and find the point where the profit is maximum. This point is point of intersection of lines [tex]x=2y[/tex] and [tex]\dfrac{3}{10}y+\dfrac{1}{6}x=40[/tex]
But this point has not integer coordinates. The nearest point with two integer coordinates is (126,63), then the maximum profit is
[tex]\$(10\cdot 126+25\cdot 63)=\$2,835[/tex]
To maximize profit, the florist should produce 1 grand arrangement and 2 simple arrangements. The maximum profit is $45.
Explanation:To maximize profit, the florist should produce a combination of grand and simple arrangements. Let's assume the florist makes x grand arrangements and at least twice as many simple arrangements, which would be 2x or more. Given that the florist can work only a total of 40 hours per week, we can set up the following equation:
18x + 10(2x) ≤ 40
Now, we solve for x to find the number of grand arrangements.
Simplifying the equation, we have 18x + 20x ≤ 40
Combining like terms, we get 38x ≤ 40
Dividing both sides by 38, we find that x ≤ 1.05
Since we can't have a fraction of an arrangement, the florist should produce 1 grand arrangement. From the given information, we know that the florist must produce at least twice as many simple arrangements as grand arrangements. Therefore, the florist should produce at least 2 * 1 = 2 simple arrangements.
The florist's maximum profit can be calculated by multiplying the profit per arrangement by the number of corresponding arrangements.
The profit for the grand arrangement is $25, so the total grand arrangement profit is 1 * $25 = $25. The profit for the simple arrangement is $10, so the total simple arrangement profit is 2 * $10 = $20. Therefore, the maximum profit is $25 + $20 = $45.
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The following expression models the total cost of the field trip ,where x represents the number of students 80r What does the constant term in the above expression represents?
Answer:
no of students by cost per student?
Answer:The cost of the if 0 students signed up
Step-by-step explanation:I got the answer right :)
HELP I WILL GIVE BRAINLIEST
Brianna practices the piano 30 minutes per day.
a. Write an expression for the number of hours she practices in d days.
b. Find the number of hours Brianna practices in 2, 4 and 10 days.
Hey!
---------------------------------------
Part A:
30d (30 * d)
---------------------------------------
Part B:
Using the expression 30d we can solve how much time Brianna spent playing piano.
30(2) = 60 minutes (1 hour) in 2 days
30(4) = 120 minutes (2 hours) in 4 days
30(10) = 300 minutes (5 hours) in 10 days
---------------------------------------
Hope This Helped! Good Luck!
Answer with Step-by-step explanation:
Brianna practices the piano 30 minutes per day.
1 hour = 60 minutes
or 1 minute = 1/60 hour
30 minutes = 30/60 hours
= 0.5 hour
i.e. Brianna practices the piano 0.5 hours per day.
a. 0.5 hours per day means
0.5d hours in d days
Expression for the number of hours she practices in d days is: 0.5d
b. Number of hours she practices in 2 days = 0.5×2=1 hour
Number of hours she practices in 4 days = 0.5×4=2 hours
Number of hours she practices in 10 days = 0.5×10=5 hours
Please answer this correctly
Answer:
Ashley
Step-by-step explanation:
William scored more than Riley
So William>Riley
Ashley scored fewer than Riley
So William>Riley>Ashley
Lauren scored more than William
So Lauren>William>Riley>Ashley
You and three friends go to a restaurant for dinner. you share three appetizers that cost $6 each. You also share two desserts that cost $3 each. You split the total bill evenly. How much does each person pay?
Answer:
So you add 18 and 6 that’s 24 then divide it by 4 because you and your friends go and that would be 5
Step-by-step explanation:
Meg dilated triangle W by a factor less than 1. Then she performed other transformations that were not dilations to create similar triangle W′.
Which could be the vertices of triangle W?
A. X(–2, 2), Y(–10, 2), Z(–6, 10)
B. X(2, 2), Y(4, 2), Z(3, 4)
C. X(0, 2), Y(4, 2), Z(2, –6)
D. X(2, 2), Y(2, 6), Z(4, 6)
Answer:
A. X(–2, 2), Y(–10, 2), Z(–6, 10)
Step-by-step explanation:
This looks a bit tough, but knowing that scale factors less than 1 are ½, ¼, etcetera, I come to this answer, also knowing that in the end, they must have an unproportional relationship.
I hope this is correct, and as always, I am joyous to assist anyone at anytime.
Consumer behavior is the way that forces shape people's _____.
A.activities related to buying
B.place and time utility
C.culture and society
D.goods and services
Answer:
A.activities related to buying.
Explanation:
Consumer behaviors is the action and the decision process of the people who buy goods and services for their consumption that is why it is related to buying activities.
Consume behavior entertains the behavior of the consumer activities which is linked with the use, purchase, and consumption of goods and services, this behavior also includes mental and emotional behavior of the consumer.
Consumer behaviour is the way that forces shape people's place and time utility. Hence, option B is correct.
Consumer behaviour refers to the activities related to buying goods and services, as well as the influence of factors such as place and time utility, culture, and society on these actions.
It's interesting to observe how these forces shape people's purchasing decisions and preferences.
From understanding consumer preferences to studying the impact of cultural norms, consumer behaviour provides valuable insights into how individuals interact with the market.
Hence,
Option B. Place and time utility is correct.
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A function that has y-values with more than one corresponding x-value is
called a:
Answer:
Im not sure what the answers are on your test but its usually called a domain.
-
-
-
Let me know what the possible answers are if it is a multiple choice question!
Step-by-step explanation:
Answer: many-to-one function
Step-by-step explanation:
Follow the steps to find the quotient. Please help !
Answer:
41
Step-by-step explanation:
1. Look at the first digit and ask yourself: is this divisible by 8? (3 is not so you look at the next one)
2. 8 goes into 32 evenly 4 times (put 4 at the top)
3. Subtract 42
4. Drag down the 8
5. Does 8 go into 8? (Yes!)
6. Put one at the top and subtract to get zero
7. Answer is at the top: 41
Answer:
Nothing goes into 3
8 goes into 32 four times (8 times 4= 32) so that means you'd put 4 on top of 2
then you bring down the 8 and 8 goes into 8 once. (8 times 1= 8) so you'd put 1 on top of 8.
Now down below you'd put 32 below 32 since you subtract it.
I'm not sure what the 3 bottom ones are.
I think you'd put 8 in the first boxes then 0 cause 8=8 = 0.
good luck <3
answer is 41 <3
Higher Order Thinking Suppose that solving
a system of equations algebraically gives the
following result: 0 = 0
What does this mean graphically?
Answer:
It means it's an infinite solution.
Is that what you meant? I apologize if it wasnt.
Since the system of equations algebraically gives this result: 0 = 0, graphically it means it has infinitely many solution.
What are infinitely many solutions?In Mathematics and Geometry, an equation is said to have an infinitely many solution (infinite number of solutions) when the left hand side and right hand side of the equation are the same or equal.
By critically observing the solution to the system of equations, we can reasonably infer and logically deduce that it has infinitely many solution (infinite number of solutions).
In conclusion, every point located on the graph of this line would satisfy the equation as shown in the image attached below.
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find the value of x and y. y=2x and 1.85x+3.7y=12.95
Answer:
x=1.4 y=2.8
Step-by-step explanation:
Lets substitute y with 2x. We get: 1.85x+7.4x=12.95.
Simplifying by combining x: 9.25x=12.95
Then you just divide 12.95 by 9.25: x=1.4
Now for y. We know why is 2x so we just have to multiply x by 2: y=2x, y=2.8.
PLEASE HELP!!!!!
the volume of a barrel of sand is 18 cubic feet. how many barrels of sand will be needed to fill a container with a volume of 2 cubic yards
The container with a volume of 2 cubic yards, which is equivalent to 54 cubic feet, would require 3 barrels of sand to fill it up, as the volume of each barrel is 18 cubic feet.
Explanation:To find out how many barrels of sand will be needed to fill a container with a volume of 2 cubic yards, we first need to convert cubic yards to cubic feet, as the measurement of the barrel volume is given in cubic feet. Since 1 cubic yard is equivalent to 27 cubic feet, 2 cubic yards will be 2 * 27 = 54 cubic feet.
Next, we divide the volume of the container by the volume of one barrel of sand. Hence, the number of barrels needed = 54 cubic feet / 18 cubic feet per barrel = 3 barrels.
So, it will take 3 barrels of sand to fill a container with a volume of 2 cubic yards.
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If you solve using the equation for the constant of proportionality, y/x = k, with k=4/5 and y = 2/3, what is the value of x?
A. X = -2/15
B. X = 8/15
C. X = 5/6
D. X = 1 1/5
[tex]\bf \cfrac{y}{x}=k\qquad \begin{cases} k=\frac{4}{5}\\ y=\frac{2}{3} \end{cases}\implies \cfrac{~~\frac{2}{3}~~}{x}=\cfrac{4}{5}\implies \cfrac{2}{3}(5)=4x\implies \cfrac{10}{3}=4x \\\\\\ \cfrac{10}{12}=x\implies \cfrac{5}{6}=x[/tex]
In this problem, we solve for 'x' in the equation for constant of proportionality, 'y/x = k', given that 'y' is 2/3 and 'k' is 4/5. Substituting these values in the equation and solving for 'x' gives the result 5/6.
Explanation:The question refers to the concept of the constant of proportionality which is a key topic in mathematics. We have an equation, y/x = k, where k is the constant of proportionality. Here, we have been given that y = 2/3 and k = 4/5. If we substitute these values into the equation, we will be able to solve for x.
To solve for x, we rearrange the equation by multiplying both sides by x and then dividing by k. This leaves us with an equation in terms of x: x = y/k. Substituting the given values, we get x = (2/3) / (4/5) = 5/6. So, the correct answer according to the provided options is C. X = 5/6.
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Rectangle GHIJ inscribed in a circle, GK⊥JH, GK = 6cm, m∠GHJ = 15°. Find the radius of the circle. pls help !!
Final answer:
To find the radius of the circle, we can use the properties of a right triangle to solve for GH. GH is approximately 10.39cm.
Explanation:
To find the radius of the circle, we can start by observing that the angle GHJ is 15°, and the side GK is 6cm. Since GK is a radius of the circle and it is perpendicular to JH, we can conclude that JH is a diameter of the circle. So, the length of JH is twice the length of GK, which is 12cm.
Now, we can use the properties of a right triangle to find the radius of the circle. We have a right triangle GHJ, where GH is the radius of the circle and JH is the hypotenuse. Using the Pythagorean theorem, we can solve for GH:
GH^2 + GK^2 = JH^2
GH^2 + 6^2 = 12^2
GH^2 + 36 = 144
GH^2 = 108
GH = sqrt(108)
GH ≈ 10.39cm
The radius of the circle is approximately 10.39cm.
Michelle is a server in a restaurant. On a weekend night, Michelle earned $4 an hour and $65 in tips She made a total of $93 Write and solve an equation to determine how many hours she worked
Answer:worked 7 hours
Step-by-step explanation:
93 - 65 = 28
28/4 = 7 hours
Michelle worked for 7 hours on the weekend night based on the equation 4h + $65 = $93, where h represents the number of hours worked.
How many hours she worked?Let's denote the number of hours Michelle worked as "h". She earned $4 per hour for her work, so the total amount she earned from her hourly wage is 4h. Additionally, she earned $65 in tips.
So, the total amount she made can be represented by the equation:
Total earnings = Hourly wage + Tips
$93 = 4h + $65
Now, we can solve for the number of hours Michelle worked:
4h + $65 = $93
Subtract $65 from both sides:
4h = $93 - $65
4h = $28
Now, divide both sides by 4 to solve for "h":
h = $28 / 4
h = 7
Michelle worked for 7 hours on that weekend night.
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A line is parallel to y = 4x + 11 and
intersects the point (-2, 4). What is the
equation of this parallel line?
y = [?]x + [ ]
Step-by-step explanation:
let (-2,4)=(x1,y1)
given eqn: y=4x+11
comparing with y=mx+c
slope (m)=4
now using point and slope form,
(y-y1)=m (x-x1)
(y-4)=4 (x+2)
y-4=4x+8
4x-y+12=0 is required eqn.
Answer:
slope: 4
y - 4 = 4(x + 2)
y - 4 = 4x + 8
y = 4x + 12
Which expression should replace the word numerator in the work shown
B: x-5 is expression should replace the word “numerator” .
The present value of a house is $242.000. The value of the house increases at the rate of
every year. A function is shown below
10%) = 242.000(1.047
What does f(x)represent?
Answer: The future value of the house after x years
Step-by-step explanation: