Answer:
x = -1 y = 2
Step-by-step explanation:
Notice that the coefficients of x are opposites of each other. That makes the problem so much easier to solve. All you have to do is add the two equations and the x terms will be eliminated.
2x - 4y = -10
-2x - y = 0
- 5y = -10
y = 2 Substitute y = 2 into the first equation. 2x - 4(2) = -10
2x - 8 = -10
2x = -2
x = -1
It is always a good idea to check your results into the equations to see if they satisfy the equations.
72 = 4s
S=
What does s =?
Answer:
72 = -4s
72 / (-4) = (-4s) / (-4)
-18 = s
PLS ANSWER will give brainliest‼️‼️
4.) You decide to paint your room, too.
Your room has 300 square feet of wall space to paint. Sam says it took her 10 minutes to paint 25 square feet. At this rate, how many hours would it take Sam to paint your room?
Answer: 2 hours
Step-by-step explanation: (10 min) / (25 square feet) = (X minutes) / (300 square feet)
Cross-multiply to solve, as we always do with proportions:
10 * 300 = 25 * x
3000 = 25X
3000/25 = 25X /25
120 = X
120 minutes * (1 hour / 60 minutes) = 2 hours
Lindsey went shopping with her grandmother. Lindsey's grandmother gave her $8.00 to add to the original amount she had in her wallet. Lindsey bought a
book that cost $15.50.
If Lindsey had $4.75 left after purchasing the book, what was the original amount Lindsey had in her wallet?
A. $7.50
B
$12.25
с
$18.75
D
$28.25
Answer:
B) $12.25
Step-by-step explanation:
First, you subtract 8 from 15.5 and have 7.5
Now, you add 7.5 to 4.75 because you need to include the money left over. It’s 12.25
E
Question 1/11
> NEXT
BOOKMARK
ag
1
Mark placed a ladder against a wall. The bottom of the ladder was 5 feet away from the wall. Find the height of the wall.
Ladder
10 feet
Wall
5 feet
Answer:
Answer:
The wall is 15 FT tall
Step-by-step explanation:
Add 5 and 10
answer the question for 10 points
Answer:
D. Division and Addition
Step-by-step explanation:
true or false? a theorem is a statement that can be easily proved using a corollary
Answer:
Step-by-step explanation:
The salary of 12workers is $ 3732 . what will be the salary of 5 workers
Answer:
746.4
Step-by-step explanation:
Determine if the following is a rotation or a translation and then find the degree or distance of it.
please help me and provide explanation you will get marked as brainlist
Answer:
hi my name is chelsea and i wiuld like ti thank yiu fir the points
Answer:
180 deg rotation
Step-by-step explanation:
You can't simply translate the original figure into its image. You'd need a reflection or a rotation. For example, if you reflected triangle HTY over the x-axis, and then reflected it over the y-axis, you'd get triangle H'T'Y. The problem does not allow for reflections, so this cannot be used. That means you must use a rotation.
Use the origin as the center of rotation.
Rotate triangle HTY 180 degrees clockwise or counterclockwise.
You end up with the image.
Answer: 180 deg rotation
pls hurry i really i need to finish
can someone help me really quick
The addition equation to represent Jackson's net change in money is x + (-y) = 4.63
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Jackson receives 4.63 as his change at the grocery store. He places it into a charity donation jar at the register.
WE need to Write an addition equation to represent Jackson's net change in money.
Given that :
The change received = 4.63
The Net change in money :
Let initial amount before purchase is represented by x
The Cost of item purchased = y (negative as it is incurred)
The Net change in money:
Initial amount + cost of item purchased = change received
x + (-y) = 4.63
Therefore, an addition equation to represent Jackson's net change in money is x + (-y) = 4.63
Learn more about equations here;
https://brainly.com/question/10413253
#SPJ1
can someone help i have alot of home work and i need help with some
Answer:
it's not showing the question so how will I tell you
Mr. Baker wants to divide his class into smaller, equal-sized groups of students.However, he finds that his class cannot be divided evenly into any size group except for individual groups of 1 is the number of its class prime or compocite?
Answer:
Prime. Prime numbers can only be divided by the whole number, or one.
The number of students in class were prime.
What is Number system?A number system is defined as a system of writing to express numbers.
Given,
Mr. Baker wants to divide his class into smaller, equal-sized groups of students. He can split them by using division method.
Class cannot be divided evenly into any size group except for individual groups of 1. We know that A division is a process of splitting a specific amount into equal parts.
He is unable to split the class students equally.
It means the number of students in class were prime numbers.
A prime number cannot be divided by any other number except itself.
If the number of students are composite then it can be splitted to equal groups.
Hence the number of students in class were prime.
To learn more on Number system click:
https://brainly.com/question/22046046
#SPJ5
If one factor of x2 2x â€" 24 is (x 6), what is the other factor? (x 8) (xâ€"8) (x 4) (xâ’4).
The correct question is; x² + 2x - 24
The other factor of x² + 2x - 24 asides (x+6) is; (x-4)
The expression given can be factorised as follows;
x² + 6x -4x - 24x(x+6) -4(x+6)(x+6) (x-4).Consequently, the other factor of the expression is (x-4).
Read more on quadratic factors;
https://brainly.com/question/14718354
40 push-ups in 5 days = push-ups in 6 days
Answer:
48 push ups
Step-by-step explanation:
40 push ups in 5 days can be modelled with the fraction 40/5
you can simplify that to 8/1 after dividing both sides by 5
now set that equal to push ups over 6
but first you must declare a variable for push ups
let x = push ups
8/1 = x/6
multiply both sides by 6
48/1 = x
x = 48
that is your answer
48 push ups
To know how many reflections are made per day, a division is made between the days and the total number of reflections.
40 Flexions ➗ 5 days = 8 flexions a day.
Every day it has 8 flexions, in multiply the 6 days for the 8 flexions of each, then.
8 flexions (1 day) ✖ 6 days = 48 flexions.
Answer: 48 flexions = 6 days ✅.
The graphs below have the same shape. What is the equation of the blue
graph?
f(x) = x2
g(x) = ?
9(x) =
O A. g(x) = x² - 2
B. g(x) = (x - 2)2
c. g(x) = x + 2
D. Q(x) = (x + 2)2
Answer:
B
Step-by-step explanation:
The red graph is represented by the function:
\(f(x)=x^2\)
And we want the equation of the blue graph.
We can see that the blue graph is simply the red graph shifted 2 units horizontally to the right.
A horizontal transformation is given by:
\(f(x-h)\)
Where h is the number of units we shift (to the right).
Since we shifted two units to the right, h = 2.
So, our new function will be:
\(g(x)=f(x-2)=(x-2)^2\)
Therefore:
\(g(x)=(x-2)^2\)
Our answer is B.
Notes:
A represents a vertical shift of two units downwards.
C (assuming it is x²) represents a vertical shift of two units upwards.
And D (if you let h = -2, then f(x - (-2)) = f(x + 2) = (x + 2)²) is a horizontal shift of two units to the left.
The equation of the blue graph is B. g(x) = (x - 2)².
What is a graph?A graph simply means a diagram that represents the variation of a variable when compared with other variables.
In this case, the red graph is illustrated by f(x) = x². The blue graph in this case is simply the red graph shifted two units horizontally.
Therefore, the equation of the blue graph will be:
= (x - 2)².
In conclusion, g(x) = (x - 2)².
Learn more about graph on:
https://brainly.com/question/21170522
What is the base of a triangle with an area of 207 square inches and a height of 18 inches ?
Answer:
A=1/2 B x H
207=1/2 B x 18
B=207/18 x 2
B= 23 inches
he lengths of pregnancies in a small rural village are normally distributed with a mean of 260 days and a standard deviation of 15 days. in what range would you expect to find the middle 50% of most pregnancies? between and . if you were to draw samples of size 36 from this population, in what range would you expect to find the middle 50% of most averages for the lengths of pregnancies in the sample? between and . enter your answers as numbers. your answers s
Using the normal distribution, the middle 50% would be expected to be in the range of 250 to 270 days.
Using the central limit theorem, for the samples of 36, the middle 50% would be expected to be in the range of 258 to 262 days.
What is normal distribution theorem?A sort of continuous probability distribution for a real-valued random variable is the normal distribution or the Gaussian distribution.
Normal Distribution of Probabilities
The z-score formula, which for a measure X, in a set with mean and standard deviation, is given by: can be used to address problems with normal distributions.
Z = (X - μ)/σ
The z-score calculates the measure's standard deviation from the mean.
A p-value, or percentile of X, is assigned to each z-score.
Mean (μ) = 260.
Standard deviation (σ)= 15 .
The normal distribution is symmetric, which means that the middle 50% is between the 25th percentile and the 75th percentile.
The 25th percentile is X when Z has a p-value of 0.25, so X when Z = -0.675.
The 75th percentile is X when Z has a p-value of 0.75, so X when Z = 0.675.
Lower bound:
Z = (X - μ)/σ
⇒ -0.675 = (X - 260)/15
⇒ X - 260 = -0.675*15
⇒ X - 260 = -10.125
⇒ X = 260 - 10.125
⇒ X ≈ 250
Upper bound:
Z = (X - μ)/σ
⇒ 0.675 = (X - 260)/15
⇒ X - 260 = 0.675*15
⇒ X - 260 = 10.125
⇒ X = 260 + 10.125
⇒ X ≈ 270
The middle 50% of pregnancies would be in the range of 250 to 270 days.
For sample of 36: By the Central Limit Theorem, the standard deviation of the sampling distribution of sample means of size n is given by .
Sample of 36, thus n=36, s=15/√36
⇒ s=15/6
⇒ s=2.5
Lower bound:
Z = (X - μ)/s
⇒ -0.675 = (X - 260)/2.5
⇒ X - 260 = -0.675*2.5
⇒ X - 260 = -1.69
⇒ X = 260 - 1.69
⇒ X ≈ 258
Upper bound:
Z = (X - μ)/s
⇒ 0.675 = (X - 260)/2.5
⇒ X - 260 = 0.675*2.5
⇒ X - 260 = 1.69
⇒ X = 260 + 1.69
⇒ X ≈ 262
The middle 50% of pregnancies would be in the range of 258 to 262 days.
To learn more about normal distribution visit:
brainly.com/question/12421652
#SPJ4
9-(-21)= ....................
A recipe calls for fruit and nuts in the ratio of 8:5. If 160g of fruit is used what weight of nuts is required?
Answer:
100g of nuts
Step-by-step explanation:
Data :
Ratio 8:5
Friut is 160 g
Now
160÷8 = 20
So 1 ratio is equal to 20g
20 × 5 = 100
It is estimated that the annual cost of driving a certain new car is given by the formula
C = 0.39m + 2800
where m represents the number of miles driven per year and C is the cost in dollars. Jane has purchased such a car and decides to budget between $7480 and $8260 for next year's driving costs. What is the corresponding range of miles that she can drive her new car? (Enter your answer using interval notation.)
Answer:
[11000, 11600]
Step-by-step explanation:
Give me Brainliest if that helped! :)
pls help i need to show work for both helpp
Answer: a) x=23. b) x=12
Step-by-step explanation:
a) Alternate angles are equal
b) corresponding angles add to 180 degrees
help, I need it by 9:00 am
Option B. because all rational numbers are integers.
Have a look at the above venn diagram showing the relationship between - Real, irrational, rational, integers, whole and natural numbers.
\(\longrightarrow{\green{Option \: B.}}⟶Option \: B.\)
Is y = 5x − 3 a linear function? If so, graph the function.
why is it that standard trigonometry texts usually do not develop formulas for the cotangent, secant, and cosecant of the sum and difference of two numbers or angles?
Standard trigonometry texts typically do not include formulas for the cotangent, secant, and cosecant of the sum and difference of two numbers or angles due to several reasons.
Firstly, these functions can be easily derived from the well-known trigonometric identities involving sine, cosine, and tangent. Including separate formulas for the cotangent, secant, and cosecant would result in redundancy and unnecessary complexity.
Secondly, the cotangent, secant, and cosecant are not as commonly used as sine, cosine, and tangent in practical applications, so their inclusion may not be prioritized.
Moreover, space limitations in textbooks also play a role, as providing comprehensive formulas for all trigonometric functions could make the texts excessively lengthy.
Therefore, students are encouraged to understand the relationships between trigonometric functions and employ the existing identities to derive the values they need.
To learn more about trigonometry from the given link
https://brainly.com/question/30965548
#SPJ4
Given \( x(t)=4 \sin (40 \pi t)+2 \sin (100 \pi t)+\sin (200 \pi t), X(\omega) \) is the Fourier transform of \( x(t) \). Plot \( x(t) \) and the magnitude spectrum of \( X(\omega) \) Question 2 Given
For the given signal \(x(t) = 4\sin(40\pi t) + 2\sin(100\pi t) + \sin(200\pi t)\), we are asked to plot the time-domain signal \(x(t)\) and the magnitude spectrum of its Fourier transform \(X(\omega)\).
To plot the time-domain signal \(x(t)\), we can calculate the values of the signal for different time instances and plot them on a graph. Since the signal is a sum of sinusoidal components with different frequencies, the plot will show the variations of the signal over time. The amplitude of each sinusoidal component determines the height of the corresponding waveform in the plot.
To plot the magnitude spectrum of the Fourier transform \(X(\omega)\), we need to calculate the Fourier transform of \(x(t)\). The Fourier transform will provide us with the frequency content of the signal. The magnitude spectrum plot will show the amplitude of each frequency component present in the signal. The height of each peak in the plot corresponds to the magnitude of the corresponding frequency component.
By plotting both \(x(t)\) and the magnitude spectrum of \(X(\omega)\), we can visually analyze the signal in both the time domain and the frequency domain. The time-domain plot represents the signal's behavior over time, while the magnitude spectrum plot reveals the frequency components and their amplitudes. This allows us to understand the signal's characteristics and frequency content.
Learn more about frequency content: brainly.com/question/254161
#SPJ11
Information provided in the screenshot
Answer:
b) y = (1/4)x+2
Step-by-step explanation:
In slope intercept form, y = mx + b, m is the slope and b is the intercept. Plug in the provided answers to the formula and you have an equation.
Read the case study on page 326~327 of your textbook. Using the information and data provided in the text answer the following questions:
1. What changes or patterns do you see in the data? What remedies might be suggested for any problems?
2. Has the CEO carried out his or her responsibility for educating the board? Why or why not?
3. Depending on the answer to question 2, what strategies would you recommend at this point?
4. What quality data should be reported and utilized by this board of directors?
5. Given this administration’s style and leadership approach, do you think the minutes of the board meeting reflect actual board meeting discussions?
6. Is the board actually using the information provided to make decisions that affect quality and performance improvement?
1. If any problems are identified, suggest potential remedies such as process improvements, employee training, quality control measures, or changes in strategy.
2. Consider whether the CEO has effectively communicated the company's goals, performance metrics, challenges, and strategies to the board.
3. If the CEO has fulfilled their responsibility, focus on refining the communication process and ensuring that the board receives timely and relevant information.
4. Emphasize the importance of accurate, timely, and actionable data that enables the board to make informed decisions.
5. Consider whether the minutes provide a clear and objective summary of the discussions and whether they align with the organization's leadership style and approach.
6. Evaluate whether the board's decisions and initiatives align with the organization's goals and objectives for quality and performance improvement.
To identify changes or patterns in the data, carefully analyze the provided data in the case study. Look for trends, variations, or any significant shifts in the data over time. Consider factors such as growth rates, financial performance, customer satisfaction ratings, employee turnover, or any other relevant metrics. If any problems are identified, suggest potential remedies such as process improvements, employee training, quality control measures, or changes in strategy.
Assess whether the CEO has fulfilled their responsibility for educating the board by evaluating the level of knowledge and understanding demonstrated by the board members. Determine if the board members have been provided with sufficient information and resources to make informed decisions. Consider whether the CEO has effectively communicated the company's goals, performance metrics, challenges, and strategies to the board.
Based on the assessment in question 2, recommend appropriate strategies. If the CEO has not adequately educated the board, suggest initiatives such as regular training sessions, workshops, or providing comprehensive reports to enhance their understanding of the business. If the CEO has fulfilled their responsibility, focus on refining the communication process and ensuring that the board receives timely and relevant information.
Determine the key quality-related data that should be reported and utilized by the board of directors. This may include data on customer satisfaction, product quality metrics, employee engagement and satisfaction, financial performance indicators, market share, or any other relevant measures that align with the organization's goals and objectives. Emphasize the importance of accurate, timely, and actionable data that enables the board to make informed decisions.
Evaluate the minutes of the board meetings to assess if they accurately reflect the discussions held during the meetings. Look for comprehensive records of agenda items, decisions made, action items assigned, and any important points or concerns raised by board members. Consider whether the minutes provide a clear and objective summary of the discussions and whether they align with the organization's leadership style and approach.
Assess whether the board is utilizing the information provided to make decisions that impact quality and performance improvement. Look for evidence of the board actively discussing and considering the quality-related data, asking relevant questions, and taking actions based on the information. Evaluate whether the board's decisions and initiatives align with the organization's goals and objectives for quality and performance improvement.
Learn more about metrics from
https://brainly.com/question/1837503
#SPJ11
Gina is trying to estimate 48. She uses this table of values: What should she do next to 48 to the nearest hundreth?
Answer:
D: find the average of 6.9 and 7.0
Step-by-step explanation:
The reason D is correct is that, 6.9 squared is around 47.6, and 7.0 squared is 49.0
48 falls between 47.6 and 49.0
So if you find the average between 6.9 and 7.0, you would then find the nearest hundredth estimate of the \(\sqrt{48}\)
Answer:
on the exam its A
Step-by-step explanation:
In 2018, there were 1,023 people in the state of Pennsylvania who were newly diagnosed with HIV. The total population in Pennsylvania that year was 12,809,078. What was the incidence of HIV per 100,000 in Pennsylvania in 2018
The incidence of HIV per 100,000 population in Pennsylvania in 2018 was approximately 7.98 cases.
To calculate the incidence of HIV per 100,000 in Pennsylvania in 2018, we can use the following formula:
Incidence per 100,000 = (Number of new HIV cases / Total population) * 100,000
Plugging in the values, we have:
Incidence per 100,000 = (1,023 / 12,809,078) * 100,000
Calculating this expression gives us:
Incidence per 100,000 = 7.98
Therefore, the incidence of HIV per 100,000 in Pennsylvania in 2018 was approximately 7.98.
To know more about population, visit:
https://brainly.com/question/14739993
#SPJ11
Chen subtracted two polynomials as shown. Explain Chen’s error.
P^2+7mp+4-(-2p^2-mp+1)
P^2+2p^2+7mp-mp+4+1
3p^2+6m+5
The correct answer is 3p² + 8mp + 3, which is different from Chen's answer of 3p² + 6m + 5.
What is a polynomial?
In mathematics, a polynomial is an expression consisting of variables (also known as indeterminates) and coefficients, which involves only the operations of addition, subtraction, and multiplication. Polynomials can have one or more terms, and each term can have one or more variables with non-negative integer exponents.
Chen's error is in the second line where they added the terms -(-2p²-mp+1) without distributing the negative sign to each term inside the bracket. The correct way to subtract a polynomial is to change the sign of each term inside the bracket and then add them to the other polynomial. So, the correct simplification would be:
P²+7mp+4-(-2p²-mp+1)
= P²+7mp+4+2p²+mp-1 (Distributing the negative sign)
= 3p²+8mp+3
Therefore, the correct answer is 3p² + 8mp + 3, which is different from Chen's answer of 3p² + 6m + 5.
To learn more about polynomial, visit the link:
https://brainly.com/question/2833285
#SPJ1