Answer:x=27
Step-by-step explanation:
First rearrange the terms: x+35=8
Second subtract 35 from either side:
-x=-27
Third divide both sides of the equation by the same term:
-x/1=-27/1
Fifth simplify:
X=27
Hope this helps!
The price of Stock A at 9 AM was $15.97. Since then, the price has been increasing at the rate of $0.11 each
hour. At noon the price of Stock B was $16.72. It begins to decrease at the rate of $0.15 each hour. If the two rates continue,
in how many hours will the prices of the two stocks be the same?
In about hours, the prices of the two stocks will be the same.
In roughly 127 hours the prices of the two stocks will be the same.
What do we mean by equations?A mathematical equation is a statement that uses the symbol 'equal to' to connect two expressions with equal values. 3x + 5 = 15, for example. Equations are classified into linear, quadratic, cubic, and other types.So, if we count the hours (x) after 9 a.m., the stock prices will be:
A = $15.97 + $0.11xB = $16.72 - $0.15(x - 3)The value of x when A = B can be calculated using:
A = B
$15.97 + $0.11x = $16.72 - $0.15(x - 3)$15.97 + $0.11x = $16.72 - 0.15x + 0.45$0.11x + 0.15x = $16.72 + 0.45 - $15.97$0.26x = $33.14x = 33.14/0.26= 127.4615384615385Rounding off: 127Therefore, in 127 hours roughly the prices of the two stocks will be the same.
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If the measure of arc CE is 8x+2 degrees, the measures of arc ED is 2x+6 degrees, and the measure of arc CD is 128 degrees what is the measure of CE? Round your answer to the nearest hundredth
Answer:
GH=116
fh=180
Step-by-step explanation:
.
Give the equation for the line: please someone answer this for me woth 20 points!!!!!
Answer:
y=x/4
Step-by-step explanation:
slope =y2-y1/x2-x1
=1-0/4-0=1/4
Answer: slope intecept form: y = 1/4x
Step-by-step explanation: first we need to find the slope:
Since we have the coordinates (0,0) and (4,1), we can find the slope, which we find 1/4. We can double check this by seeing if the next point is found +4 to the right and up 1.
We have y = 1/4x + b right now, so we need to find the y intercept, in which case is zero because it goes through the origin.
So your final answer is y = 1/4x + 0, or y = 1/4x for short.
Hope this helps!
given any set of seven integers, must there be at least two that have the same remainder when divided by 6?
Given any set of seven numbers that should be at least 2 that must have the same remainder when divided by 6
What are the factors?A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product since the product is divisible by them.
How do you find factors?Step 1: factor the provided number into primes, or describe it as the product of primes.
Step 2: Write the prime factorization in exponent form in step three.
Step 3: Increase each exponent by one.
Step 4: Multiply each of the results.
There can only be a maximum of six different remainders when dividing by six: 0, 1, 2, 3, 4, and 5.
In any set of seven integers, two must have the same remainder when divided by seven according to the pigeon hole principle.
b) Consider set of integers 0, 1 ,2, 3, 4, 5 and 66. All these have different remainders upon division by 8 and hence the answer is no.
The interpretation is yes
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please help fast im timed
plz answer this is urgent.
Answer: 9 subtracted from y and multiplied by 2
Answer:
2y subtracted from 9
I hope this answer is correct.
If you are solving the equation 3x + 4 = 7x - 5, what should your first step be?
Answer:
Subtract 4 from both sides.
Answer:
Combining like terms
I hope this helps!
jimena purchased $24 worth of crafting supplies. The tax rate in her city is 6.25%. if jimena has $30 how much will she have left
The amount of money that Jimena left based on the given percentage will be $4.5.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
As per the given,
Purchasing price = $24
6.25% tax on $24 = (6.25/100)24 = $1.5
Total pay = $24 + $1.5 = $25.5
Left = $30 + $25.5
Left = $4.4
Hence "The amount of money that Jimena left based on the given percentage will be $4.5".
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One afternoon, 10 inches of snow fell in 1 1/4 hours. At this rate, how many inches of snow fall in 1 hour?
USE THE PICTURE BELOW PLEASE
Answer:
The rate of snowfall can be computed as inches of snow per hour.
rate = 10 inches / (1.25 hours).
The denominator is the improper fraction 5/4. To divide by 5/4, you multiply numerator bky 4/5...REMEMBER?
4/5 OF TEN EQUALS 8; THE RATE IS 8 inches/HOUR.
Step-by-step explanation:
A science teacher fills a spherical bubble with hydrogen gas. The bubble has a diameter of 8 centimeters.
Find the volume of hydrogen gas. Round your answer to the nearest tenth, if necessary.
O 50.3 cm
O 100.5 cm?
O 268.1 cm?
O 2, 144. 7 cm
Answer:
The answer would be the third option
Step-by-step explanation:
Do you believe that the 4+1 model is applicable to all sizes of projects? Why or why not?
The applicability of the 4+1 model depends on the size and complexity of the project. Smaller projects may not require its full implementation, while larger projects can benefit from its structured approach.
The 4+1 model, also known as the Kruchten's model, is a software architecture design approach that consists of four views (logical, process, development, and physical) and an additional use case view. Whether the 4+1 model is applicable to all sizes of projects depends on the specific context and requirements of each project.For smaller projects with limited complexity and scope, adopting the full 4+1 model may be excessive and unnecessary. It might introduce unnecessary overhead in terms of documentation and development effort. In such cases, a simpler and more lightweight architectural approach may be more suitable, focusing on the essential aspects of the project.
However, for larger and more complex projects, the 4+1 model can provide significant benefits. It offers a structured and comprehensive approach to architectural design, allowing different stakeholders to understand and communicate various aspects of the system effectively. The use of multiple views provides a holistic understanding of the system's architecture, which aids in managing complexity, facilitating modular development, and supporting system evolution.
Ultimately, the applicability of the 4+1 model depends on the project's size, complexity, and the needs of the development team and stakeholders. It is essential to evaluate the project's specific requirements and constraints to determine the appropriate level of architectural modeling and documentation.
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35,56,34,44,52,12,34,45
Mean-
Median-
Mode-
Range-
Answer:
Mean: 39
Median: 39.5
Mode: 34
Range: 44
Step-by-step explanation:
In triangle xyz angle x=62 yo and zo intersect at o if y=52 find angle ozy angle yoz
Answer:actually i think what i wrote is wrong i confused it with something else, sorry
Answer:
give me the answer for this question
on a trip Laura talk 72 good pictures she had 2 good pictures for every 3 but pictures how many bad pictures did she take
Answer:
48 good ones
24 bad ones
Step-by-step explanation:
72/3=24
24*2=48 which is the number of good pics
leaving 24 bad pics
A scale on a map shows that 3centimeters represents 10 kilometers. What number of centimeters on the map represents an actual distance of 25 kilometers?
Answer:
1.2 centimeters
Step-by-step explanation:
using the the rule of three:
10km......3cm
25km......x cm (where x is the number we want to find)
this is direct proportional so: 10/x = 25/3 +> 30 = 25x => x = 30:25 = 1.2
A local restaurant owner employs 6 high school students who all want to work the same shift during spring break vacation week. To choose which 2 students will can work the shift, the owner assigns each student employee a number between 1-6, and then she rolls a standard number cube twice, The numbers that the number cubes show represent the employees who can work the shift. (If there are doubles, she rolls again.) Is the result a fair decision? Explain.
Since each student has an equal chance of being assigned a number and the owner follows a fair process to determine the selected students, the result can be considered fair.
The result of using a standard number cube to choose which two students can work the shift is fair.
A standard number cube has six sides, numbered from 1 to 6, which corresponds to the number of student employees. By assigning each student a number between 1 and 6, the restaurant owner ensures that each student has an equal chance of being selected.
When the owner rolls the number cube twice, the numbers that appear represent the employees who can work the shift. If there are doubles (both dice showing the same number), the owner rolls again to ensure fairness.
Since each student has an equal chance of being assigned a number and the owner follows a fair process to determine the selected students, the result can be considered fair.
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Identify as a monomial, binomial, or trinomial. x^3Y^2Z
Answer: Monomial
Step-by-step explanation:
2ax/3y is a monomial in three variables a, x and y.
PJ, A term is defined as a number, variable, or some combination of numbers and/or variables being multiplied together. Even though 2x has two parts (2 and x), since they are being multiplied together, 2x is considered a single term (a monomial expression).Mar 18, 2014
Answer:
monomial
Step-by-step explanation:
because it has only 1 term
Ahab pays 1.15 x 10^3 dollars for one year's tuition ay naylor's university his sister attends north central university and pays 2.8 x 10^3 dollars in tuition for her first year what is the difference in tuition paid by ahab and his sister? answer in scientific notation without units the coefficient may be exact or rounded to 2 decimal places
Difference between the fees of Ahab and his sister is \(2.8*10^{3} -1.15*10^{3}=1.65*10^{3}\)
Review the following subtraction rules and properties:
The subtraction identity property (also known as the zero subtraction rule): Any number minus zero is equal to itself. \((2-0=2)\)The rule of subtraction by one: any number minus one will decrease that number by one. \((5- 1 = 4)\)Rule of subtraction number minus itself: any number minus itself is equal to zero. \((2 - 2 = 0)\)Number minus the number immediately before the Subtraction rule: any number minus the number immediately before it is equal to one. \((3 -2 = 1)\)Inverse operation: reverses the effect of another operation. Subtraction reverses addition. (Because \(3 + 2 = 5\), then \(5 - 2 = 3\) and \(5 - 3 = 2\))Given: Ahab pays dollars for one year's tuition fees and his sister pays dollars fees in tuition for the first year
To find: Difference in tuition fees paid by Ahab and his sister?
Solution:
To find the difference in their fees we have to perform simply normal subtraction
Subtract the fees of his sister from Ahab's fees which is as follows:
\(2.8*10^{3} -1.15*10^{3}=1.65*10^{3}\)
Hence the difference between the fees of Ahab and his sister is \(2.8*10^{3} -1.15*10^{3}=1.65*10^{3}\)
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Which statement would be included in the proof of why Measure of angle C + measure of angle G + measure of angle H = 180 degrees.?
A. Angles F and H are congruent.
B. Angles A and G are congruent.
C. Angles A and H are congruent.
D. Angles E and C are congruent.
I think c
Step-by-step explanation:
I did it a min ago
Answer:
ur answer would be C. Angles A and H are congruent.
Step-by-step explanation:
right on edge 2021 for math
Could you guys help me again?
Answer:
1. n power of 25
2.x power of 5
the vertex of triangle DEF are D(1,3) ;E(-1,0) ;F(2,-1) find the coordinate of orthocenter for this triangle
please with clear explanation I will give brainliest
Answer:
\(\sf \left(\dfrac{1}{11},\dfrac{3}{11}\right)\)
Step-by-step explanation:
The orthocenter is the point of intersection of the altitudes of a triangle.
(The altitude is the line that passes through the vertex and is perpendicular to the side opposite the vertex).
**Refer to attached diagram**
DC, EA and FB are the perpendicular lines drawn from the three vertices D, E and F.
\(\sf Let\:(x_1,y_1)=D\implies(x_1,y_1)=(1,3)\)
\(\sf Let\:(x_2,y_2)=E\implies (x_2,y_2)= (-1,0)\)
\(\sf Let\:(x_3,y_3)= F\implies (x_3,y_3)=(2,-1)\)
G (x, y) is the intersection point of the three altitudes of the triangle, i.e. the orthocenter.
To find the point of intersection (orthocenter), we need to create linear equations for the altitudes, then equate them to find the point of intersection.
We only need to work with 2 altitudes.
Calculate the slopes of two sides of the triangle.
\(\sf \implies Slope\:of\:EF=\dfrac{y_3-y_2}{x_3-x_2}=\dfrac{-1-0}{2-(-1)}=-\dfrac{1}{3}\)
\(\sf \implies Slope\:of\:DF=\dfrac{y_3-y_1}{x_3-x_1}=\dfrac{-1-3}{2-1}=-4\)
As the slopes of the altitudes are perpendicular to the slopes of the sides:
\(\textsf{Slope of DC}=\sf \dfrac{-1}{\textsf{slope of EF}}=\dfrac{-1}{-\frac{1}{3}}=3\)
\(\textsf{Slope of EA}=\dfrac{-1}{\textsf{slope of DF}}=\sf \dfrac{-1}{-4}=\dfrac{1}{4}\)
Using point D (1, 3) and the slope of DC to create a linear equation for DC using the point-slope form of a linear equation:
\(\sf \implies y-y_1=m(x-x_1)\)
\(\sf \implies y-3=3(x-1)\)
\(\implies \sf y=3x\)
Using point E (-1, 0) and the slope of EA to create a linear equation for EA using the point-slope form of a linear equation:
\(\sf \implies y-y_1=m(x-x_1)\)
\(\sf \implies y-0=\dfrac{1}{4}(x-(-1))\)
\(\sf \implies y=\dfrac{1}{4}x+\dfrac{1}{4}\)
To find the x-value of the point of intersection (the orthocenter), equate the equations and solve for x:
\(\implies \sf 3x=\dfrac{1}{4}x+\dfrac{1}{4}\)
\(\implies \sf \dfrac{11}{4}x=\dfrac{1}{4}\)
\(\implies \sf 11x=1\)
\(\implies \sf x=\dfrac{1}{11}\)
To find the y-value of the point of intersection (the orthocenter), substitute the found value of x into the equation for line DC:
\(\implies \sf y=3\left(\dfrac{1}{11}\right)\)
\(\implies \sf y=\dfrac{3}{11}\)
Therefore, the orthocenter is at point:
\(\sf \left(\dfrac{1}{11},\dfrac{3}{11}\right)\)
The graph shows the temperature of a liquid that is being heated during an experiment.
Three of the statements are true. Which is NOT?
Answer:
At this rate, it would take less than 10 minutes for the temperature of the liquid to rise 52°.
Step-by-step explanation:
The temperature increase is represented by a linear line, which means that the temperature of the liquid is increasing at a constant rate.
Since the liquid took 6.5 minutes to increase 26°, that means the rate of change is 26°/6.5min = 4°/min. This means that the temperature is increasing at 4° per minute.
If the temperature rises at 4°/min, then it will take 15 minutes to rise to 60°.
4°x = 60°, x = 15 minutes
15 minutes = quarter hour
Therefore, the bottom-right answer is false because it will take 13 minutes for the temperature of the liquid to rise 52°.
4°x = 52°, x = 13 minutes
1 pump fill resovoir in 60 hrs other 80 hrs other 90 hrs when they are together how long to fill resovoir? Rsm
Answer:
24.83 hours
Step-by-step explanation:
Given that :
Let time taken by pumps be :
Pump A = 60 hours
Pump B = 80 hours
Pump C = 90 hours
Recall :
Rate = 1 / time taken
The rates of the pumps are :
Pump A rate = 1 / 60
Pump B rate = 1/80
Pump C rate = 1/90
Combined rate : 1/60 + 1/80 + 1/90
Combined rate = (12 + 9 + 8) / 720 = 29/720
Combined rate = 29/720
The time taken together will be :
1 / combined rate = 1/(29/720) = 720 / 29 = 24.827 hours
Should you use Sine, Cosine, or Tangent to solve the following problem?
Answer:
sine
.....................
A dresser is normally priced at $870. This weekend however, there is a sale where everything is 15% off. If the sales tax on items is 11.6%, what would be the total cost of the dresser?
Answer:
$825.28
Step-by-step explanation:
First, we need to calculate the 15% off sale:
870(0.85) = 739.50
Now, we will calculate and add on the sales tax:
739.50(1.116) = 825.28
So, the final price of the dresser will be $825.28
Hence, the total cost of the dresser is $ \(15.138\).
What is the percentage?
Percentages are generally defined as a ratio of any value to the whole value multiplied by \(100\).
The symbol used to represent the percentage is %. Percentage means a number or a ratio represented in the form of fractions of \(100\). It is represented using the percentage sign ‘%’.
Here given that,
A dresser is normally priced at $\(870\). This weekend however, there is a sale where everything is \(15\)% off. If the sales tax on items is \(11.6\)%,
Firstly we will calculate the \(15\)% off sale is
\(15\)%\(=\frac{15}{100}\\\\\)
\(15\)%\(=0.15\)
So,\(870(0.15) =130.5\)
Then,
\(\frac{11.6}{100}=0.116\) %
The sales tax on items is \(11.6\)% is
\(130.5(0.116)=15.138\) $
Hence, the total cost of the dresser is $ \(15.138\).
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Eric bought a new computer printer online for $150. The shipping cost was 8% of the purchase price. How much was the shipping cost?
Answer:
$12
Step-by-step explanation:
Method 1
8% = 8/100 = 0.08
Therefore, to find 8% of the purchase price, multiply 0.08 by $150:
$150 x 0.08 = $12
Method 2
$150 is 100% of the purchase price, so to find 8%, divide $150 by 100 to give the equivalent of 1% and then multiply that by 8 to find 8%:
150 ÷ 100 = 1.5 ⇒ $1.50 is 1% of the purchase price
1.50 x 8 = 12 ⇒ $12 is 8% of the purchase price
Inverses, contrapositives and converses. Below are examples of mathematical statements you’ll encounter in this class. Assume x, y, a, b, c are integers.
If the difference x − y is even then x and y are also even.
If a divides b or a divides c then a divides bc. (Note: a divides b means that the fraction b/a is an integer. For example, 3 divides 6 but 3 does not divide 7.)
If x2 ≥ 100 and x ≥ 0, then x ≥ 10.
(i) (9 pts.) State the inverse, contrapositive and converse of each statement above. When possible, avoid using the word "not." Instead, replace "not even" with "odd", etc.
Recall that for P → Q,
contrapositive: ¬Q →¬P
converse: Q → P
inverse: ¬(P → Q) = ¬(¬P ∨ Q) = P ∧ ¬Q
(ii) (3 pts.) Then indicate their truth values. Thus, for each statement you must determine whether the statement itself, its inverse, contrapositive and converse are true or false. That’s four true/false answers for each statement.
1. Statement: True
Inverse: True
Contrapositive: True
Converse: True
2. Statement: True
Inverse: True
Contrapositive: True
Converse: True
3. Statement: True
Inverse: True
Contrapositive: True
Converse: True
(i)
Statement: If the difference x - y is even, then x and y are also even.
Inverse: If x and y are not even, then the difference x - y is not even.
Contrapositive: If x and y are not even, then the difference x - y is not even.
Converse: If x and y are even, then the difference x - y is even.
Statement: If a divides b or a divides c, then a divides bc.
Inverse: If a does not divide b and a does not divide c, then a does not divide bc.
Contrapositive: If a does not divide b and a does not divide c, then a does not divide bc.
Converse: If a divides bc, then a divides b or a divides c.
Statement: If x^2 ≥ 100 and x ≥ 0, then x ≥ 10.
Inverse: If x^2 < 100 or x < 0, then x < 10.
Contrapositive: If x^2 < 100 or x < 0, then x < 10.
Converse: If x ≥ 10, then x^2 ≥ 100.
(ii)
For each statement, we need to evaluate the truth values of the statement, inverse, contrapositive, and converse.
Statement: True
Inverse: True
Contrapositive: True
Converse: True
Statement: True
Inverse: True
Contrapositive: True
Converse: True
Statement: True
Inverse: True
Contrapositive: True
Converse: True
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Please help me i need to complete this by tomorrow
Answer:
Step-by-step explanation: Need to work out your scale factor which is 1.5.
8 * 1.5 = 12
CE = 12
12 * 9 = 108/2 = 59 that is the area of triangle ACE
8 * 6 = 48/2 = 24 that is the area of triangle BCD
ACE - BCD = ABDE
59 - 24 = 35cm^2
Someone help I will give u 5 points
Ten different families were tested for the average number of gallons of water they used per day before and after viewing a conservation video. A 90% confidence interval for the difference of the means after and before the training, was determined to be (−10.8,−4.2)
a. Based on this sample, we are 90% confident that the average decrease in daily water consumption after viewing the conservation video is between 4.2 and 10.8 gallons.
b. We are 90% confident that a randomly selected family who has viewed the video will use between 4.2 and 10.8 fewer gallons of water per day compared to a randomly selected family who has not viewed the video.
c. We know that 90% of families will use between 4.2 and 10.8 fewer gallons of water each day after viewing the conservation video.
d. We are 90% confident that a randomly selected family who has viewed the video will use between 4.2 and 10.8 more gallons of water per day compared to a randomly selected family who has not viewed the video.
e. Based on this sample, we are 90% confident that the average increase in daily water consumption after viewing the conservation video is between 4.2 and 10.8 gallons.
Answer:
a. Based on this sample, we are 90% confident that the average decrease in daily water consumption after viewing the conservation video is between 4.2 and 10.8 gallons.
Step-by-step explanation:
From the given information:
we learnt that :Ten different families were tested for the average number of gallons of water they used per day before and after viewing a conservation video.
A 90% confidence interval for the difference of the means after and before the training, was determined to be (−10.8,−4.2)
Confidence interval shows the range of values with the likelihood to contain a true population value with a certain degree of confidence. In confidence interval, a true population mean lies within the interval of a lower limit and upper limit.
From the given information; the lower limit is -10.8 and the upper limit is -4.82; based on this negative sign, it means they are both decreasing.
Therefore; we can conclude from the given option that :
Based on this sample, we are 90% confident that the average decrease in daily water consumption after viewing the conservation video is between 4.2 and 10.8 gallons.