Answer:15x3 /=divide 5 = 9
Step-by-step explanation:
because if you do 15x3 it is 45 then you divide it by 5 and get 9 as your answer!
Use the elimination method to solve the system of equations. Choose the
correct ordered pair.
7x + 3y = 30
-2x + 3y= 3
A. (6,5)
B. (6,3)
C. (3,3)
D. (3,5)
Answer:
C
Step-by-step explanation:
7x + 3y = 30 (equation 1)
-2x + 3y = 3 (equation 2)
9x = 27 (subtract the two equations to eliminate y)
x = 3 (divide by 9)
7 * 3 + 3y = 30 (Substitute x = 3 into equation 1, it doesn't matter which equation you substitute into)
21 + 3y = 30 (7 * 3 = 21)
3y = 9 (Subtract 21)
y = 3 (divide by 3)
Answer is (3, 3)
Answer:
(3,3)
Step-by-step explanation:
7x + 3y = 30
-2x + 3y= 3
Multiply the second equation by -1 and add together to eliminate y
7x + 3y = 30
2x - 3y= -3
---------------------
9x + 0y = 27
Divide by 9
9x/9 = 27/9
x = 3
Now find y
-2x+3y = 3
-2(3) +3y =3
-6 +3y = 3
Add 6 to each side
3y = 3+6
3y=9
Divide by 3
y = 3
A bag contains 4 red, 11 green, and 5 blue balls. The balls are identical in size. A call is drawn at random. What is the probability of the ball being red
Answer:
/////////////////////////////////////////////
Step-by-step explanation:
////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////lalks
What does 50 kg mean in pounds?
50 kg in pounds is 110.231.
Therefore the answer is 110.231.
50 kg is a measure of weight in the metric system. To convert it to pounds, we can use the conversion factor of 1 kilogram equals 2.20462 pounds.
To convert 50 kg to pounds, we can multiply the weight in kilograms by the conversion factor:
50 kg × 2.20462 lb/kg = 110.231 pounds
Therefore, 50 kg is equivalent to 110.231 pounds.
It is important to be able to convert between different units of measurement, particularly when dealing with measurements from different countries or regions. By using conversion factors and keeping track of units, we can ensure accurate measurements and avoid confusion in different contexts.
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Determine whether the series is convergent or divergent. ?+6 Irt convergent divergent If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.) Need Help? Read ItTalk to a Tutor 11. -12 points SCalcET8 11.2.043 Determine whether the series is convergent or divergent by expressing Sn as a telescoping sum (as in Example 8) n=2n.. 1 convergent divergent If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.) Need Help?ReadWateth Watch It Talk to a Tutor
The limit exists and is finite, the series is convergent. The sum of the convergent series is 1/2.
To determine if the series is convergent or divergent, we need to express the series Sn as a telescoping sum. Based on the given information, the series can be written as:
Sn = Σ(1/n - 1/(n+1)), where n starts from 2.
Now, let's rewrite the series:
Sn = (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + ... + [1/n - 1/(n+1)]
Notice that the series is telescoping, as most terms cancel out:
Sn = 1/2 - 1/(n+1)
Now, let's analyze the series as n approaches infinity:
lim (n -> ∞) Sn = lim (n -> ∞) [1/2 - 1/(n+1)]
As n goes to infinity, 1/(n+1) goes to 0, so the limit becomes:
lim (n -> ∞) Sn = 1/2
Since the limit exists and is finite, the series is convergent. The sum of the convergent series is 1/2.
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I need help with Using this table, calculate the profit at each level of bicycle production.
One bike: -$
Two bikes: $
Three bikes: $
Four bikes: $
Five bikes: $
Six bikes: $
Seven bikes: $
Answer:
30
3
40
70
90
90
80
Step-by-step explanation:
1) Find the Mean (Ungrouped)
Earthquake Strengths Twelve major earthquakes had Richter magnitudes
shown here.
7.0, 6.2,7.7, 8.0, 6.4,6.2,7.2,5.4,6.4,6.5,7.2,5.4
Answer:
6.6333333
The mean is an average, so you add all the numbers together and divide by the number a values added together.
Answer:
6.633...
Step-by-step explanation:
(7.0 + 6.2 + 7.7 + 8.0 + 6.4 + 6.2 + 7.2 + 5.4 + 6.4 + 6.5 + 7.2 + 5.4) / 12
Are these triangles similar, congruent or neither? What theorem supports your answer?
options:
Similar: AA
Similar: SAS
Similar: SSS
Congruent: HL
Congruent: ASA
Congruent: AAS
Neither
Answer:
These triangles are congruent by AAS.
Consider the variable, type of birth control practiced (e.g., an iud, condoms, none, etc). which measure of variability is best suited to describe variation in the distribution of this variable?
The measure of variability that is best suited to describe variations in the distribution of the above variable is called - Index of Qualitative Variation (IQV).
What is IQV Used for?
The index of qualitative variation (IQV) is a measure of variance for nominal variables including race, ethnicity, and gender.
How does one calculate IQV?
The steps to calculating IQV are as follows:
Make a percentage distribution.Divide the percentages for each group by two.Add the squared percentages together.Using the formula above, compute the IQV.
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solve for x 11x+11+25=180
Answer:
x=13.0909091
Step-by-step explanation:
Answer: 1 3/7
Step-by-step explanation: x = 144/7
x = 13.09 in decimal form
Mixed fraction form = 3 1/7.
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Help me find the figure , area formula and the area
Answer:
We are given a length of 27 cm and a width of 16 cm and we can also see that our figure is a rectangle. This means that we are able to use the area formula for the rectangle which is \(A=l*w\).
Therefore, we can just multiply 27 cm by 16 cm and we get \(A = 432\ cm^2\)
Hope this helps! Let me know if you have any questions
IMPORTANT!!! PLEASE ANSWER IMMEDIATELY!!!
Anita can clean a typical pool in 8 hours. Chao can clean a typical pool in 6 hours. How long should it take Anita and Chao working together to clean a typical pool? Show all your work. Leave your final answer as an integer or reduced fraction.
=====================================================
Explanation:
Let's say the pool is 4800 gallons. I'm picking this number since 8*6 = 48 and I tacked a few zeros at the end to make the volume a bit more reasonable for a swimming pool. This might be on the low end of the spectrum. It turns out that the actual volume doesn't matter and you can pick whatever favorite number you want.
The pool being 4800 gallons means Anita's rate is 4800/8 = 600 gallons per hour if working alone.
If Chao works alone, then the rate is 4800/6 = 800 gallons per hour.
Their combined rate is 600+800 = 1400 gallons per hour. This assumes neither person slows the other down.
--------------
x = amount of time they work together
1400x = number of gallons cleaned after x hours
1400x = 4800
x = 4800/1400
x = (24*200)/(7*200)
x = 24/7 is the final answer
x = 3.43
It takes about 3.43 hours to clean the pool if they worked together, and if they didn't slow each other down.
Andy says that the range of ages is 39 because 50-11 =39 the range may not be 39 years explain why.
The range of ages may be 39 years, it does not provide sufficient information to determine the actual distribution or spread of ages within that range.
Andy's calculation of the range of ages as 39, based on subtracting the minimum age from the maximum age (50 - 11), is incorrect. The range of a set of values represents the difference between the maximum and minimum values, but it does not necessarily reflect the actual span or dispersion of the values within that range.
In the context of ages, the range refers to the difference between the highest and lowest ages in a given group. However, this calculation alone does not provide any information about the distribution or spread of ages within that range.
For example, if a group consists of individuals with ages 11, 12, 13, 14, ..., 49, 50, the range would still be 39 years (50 - 11). However, the ages within that range are evenly distributed and not widely spread.
On the other hand, if the group has ages 11, 11, 12, 13, ..., 49, 50, the range would still be 39 years, but the ages are tightly clustered around the lower end of the range.
Therefore, while the range of ages may be 39 years, it does not provide sufficient information to determine the actual distribution or spread of ages within that range.
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The two-way frequency table shows the results of a survey of students.
Right-handed
Left-handed
Total
In music program Not in music program Total
43
394
437
15
33
48
427
475
OA. 48
58
How many left-handed students are not in the music program?
The given two-way Frequency table, there are 33 left-handed students who are not in the music program.
The number of left-handed students who are not in the music program, we need to examine the data presented in the two-way frequency table.
From the table, we can see that the number of left-handed students in the music program is 15, and the total number of left-handed students is 48.
the number of left-handed students not in the music program, we subtract the number of left-handed students in the music program from the total number of left-handed students.
Number of left-handed students not in the music program = Total number of left-handed students - Number of left-handed students in the music program
Number of left-handed students not in the music program = 48 - 15
Calculating this, we find that the number of left-handed students not in the music program is 33.
Therefore, there are 33 left-handed students who are not in the music program, based on the data provided in the two-way frequency table.
In conclusion, based on the given two-way frequency table, there are 33 left-handed students who are not in the music program.
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can someone please graph this
Answer:
Look at image
Step-by-step explanation:
Use the image to determine the line of reflection. Graph of polygon ABCDE with point E at negative 6 comma 3. A second polygon A prime B prime C prime D prime E prime with E prime at negative 6 comma negative 1. Reflection across x = −6 Reflection across y = 1 Reflection across the x-axis Reflection across the y-axis
The point E' will have a y-value of -1 instead of 3 and x-value of 6 instead of -6.
What is a polygon?A polygon is a two-dimensional shape composed of straight line segments that close in a loop to form a single shape. Generally, polygons have three or more sides and angles. Depending on the number of sides, polygons can be classified as triangles, quadrilaterals, pentagons, hexagons, and so on.
A reflection across the x-axis of the graph of polygon ABCDE with point E at (-6,3) would result in the creation of a second polygon A'B'C'D'E' with E' at (-6,-1). This is because the reflection flips the points across the x-axis, meaning all of the y-values of the points will be converted to the opposite sign. Therefore, in the new polygon, point E' will have a y-value of -1 instead of 3. This is because the reflection across the x-axis will cause the y-values of each point to flip signs, with the y-value of E increasing from -3 to -1.
Similarly, a reflection across the y-axis of polygon ABCDE with point E at (-6,3) would result in the creation of polygon A'B'C'D'E' with E' at (6,1). This is because the reflection flips the points across the y-axis, meaning all of the x-values of the points will be converted to the opposite sign. Therefore, in the new polygon, point E' will have an x-value of 6 instead of -6. This is because the reflection across the y-axis will cause the x-values of each point to flip signs, with the x-value of E increasing from -6 to 6.
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Answer:
Reflection across y = 1
Step-by-step explanation:
i got this right on the flvs test!
Distribute 3(-x^2+x)
Answer:
-3x^2 + 3x
Explanation:
Answer:
\( - 3 {x}^{2} + 3x\)Step-by-step explanation:
\(3( - {x}^{2} + x)\)
\( = 3 \times ( - {x}^{2} ) + 3 \times x\)
\( = - 3 {x}^{2} + 3x(ans)\)
Please help and explain how to solve this!To the 4th decimal
The formula relating the variation in pressure with loudness of sound:
\(\begin{gathered} L=20log_{10}(121.3P) \\ L\text{ = loundness of sound in decimals} \\ P\text{ = variation of pressure in pounds per square inch} \end{gathered}\)when L = 115 decibels
P = ?
we will susbtitute 115 for L in the formula above:
\(\begin{gathered} 115\text{ = }20log_{10}\text{ (121.3P)} \\ \text{divide both sides by 20:} \\ \frac{115}{20}\text{ = }\frac{20log_{10}\text{ (121.3P)}}{20} \\ 5.75\text{ = }log_{10}\text{ (121.3P)} \end{gathered}\)\(\begin{gathered} In\text{ }logarithm\colon a=log_bC \\ b^a\text{ = C} \\ \\ \text{Applying the principle here:} \\ 5.75\text{ = }log_{10}\text{ (121.3P)} \\ 10^{5.75}=\text{ 121.3P} \\ 562341.325\text{ = 121.3P} \\ \text{divide both sides by 121.3:} \\ \frac{562341.325}{121.3}\text{ = }\frac{\text{ 121.3P}}{121.3} \end{gathered}\)\(\begin{gathered} \frac{562341.325}{121.3}\text{ = }P \\ \text{P = }4635.95486 \\ \\ To\text{ the 4th decimal, variation in pressure is }4635.9549\text{ pounds per square inch} \end{gathered}\)how many solutions does 0.5(x−3)=3x−2.5 have?
Answer:
3
Step-by-step explanation:
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Matt wrote the number three million, seven hundred two thousand, eight hundred fifty-six as 3,720,856
Answer:
3,702,856
Step-by-step explanation:
add the three million and then look at the second number you need to add to it and it is seven hundred and two thousand so it should be 702 instead of 720.
Will give brainliest if correct.
Answer:
$300
Step-by-step explanation:
So the equation would look like this since you pay a one time fee on $60 that is the y-intercept, and since you pay $40 per month that is you m or slope constant rate of change etc.
The equation looks like this.
y = 40x + 60
Since it wants to know how much after 6 months plug in 6 where the x is.
y = 40(6) + 60
y = 240 + 60
y = 300
$300
Hope this helps!!
Answer:
$420.00
Step-by-step explanation:
Let x = cost after 9 months. Let y = cost of phone.
x = y + (r · t)
y = $60.00
r = monthly rate of $40.00
t = time period of 9 months
x = $60.00 + [($40.00/month)(9 months)]
The months cancel, leaving dollars.
x = $60.00 + [$360.00] = $420.00
I'm pretty sure its 60 but I want to be sure
Answer:
$75
Step-by-step explanation:
15 x 4 = 60
50 + 15 = 75
which of the following is not true about static methods? group of answer choices it is not necessary for an instance of the class to be created to execute the method. they are created by placing the key word static after the access specifier in the method header. they are called from an instance of the class.
The statement "They are called from an instance of the class." is not true about static methods.
Static methods are class-level methods that can be accessed without creating an instance of the class. They are associated with the class itself rather than specific instances of the class.
This means that static methods can be called directly using the class name, without the need to create an object or instance of the class.
For example, if we have a class called "MathUtils" with a static method called "multiply", we can call the method as:
MathUtils.multiply(5, 10);
We don't need to create an instance of the MathUtils class before calling the multiply method.
Static methods are defined by placing the keyword "static" after the access specifier (e.g., public, private) in the method header. This keyword indicates that the method belongs to the class and can be accessed without creating an instance.
In summary, static methods are not associated with instances of the class and can be accessed directly through the class name. They are not called from an instance of the class.
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It takes a man 6 hours to row a boat 24km upstream and covers a distance of 36 km downstream in 6 hours. What will be the speed of the man in still water
Answer:
5 km/h
Step-by-step explanation:
Speed of man in still water = s
Speed of current = c
Speed upstream = s - c
Distance upstream = 24 km
Time upstream = 6 hours
Speed downstream = s + c
Distance downstream = 36 km
Time downstream = 6 hours
Speed Equation
speed = distance/time
distance = speed × time
d = st
We write a distance equation for upstream and a second distance equation for downstream.
Upstream:
d = st
24 = (s - c) × 6
Divide both sides by 6 and switch sides:
s - c = 4 Equation 1
Downstream:
d = st
36 = (s + c) × 6
Divide both sides by 6 and switch sides.
s + c = 6 Equation 2
We now have two equations in two variables. We use equations 1 and 2 as a system of equations.
s - c = 4
s + c = 6
Add the equations to use the addition method.
2s = 10
s = 5
Answer: 5 km/h
how do you solve
2h + 8 > 3h -6
Answer:
h<14
Step-by-step explanation:
2h+8>3h-6
2h-3h+8>-6
-h+8>-6
-h>-6-8
-h>-14
h<14
Demand for electrical services in your area is $12 million per year. It is expected to grow 10% compounded annually
over the next 5 years. What will demand be in 5 years? The formula for compound growth is E-Bx (1 + R)', where E is ending value, B is
beginning value, R is rate of growth, and T is the amount of time.
\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &\stackrel{millions}{\$12E6}\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ t=\textit{elapsed time}\dotfill &5\\ \end{cases} \\\\\\ A=12E6(1 + 0.10)^{5}\implies A=12E6(1.1)^5\implies A=19326120\)
Answer:
$19.3 million
Step-by-step explanation:
The demand in 5 years can be found by using the given formula for exponential growth with the given beginning value, growth rate, and time.
E = B(1 +r)^t
You are given B = 12, r = 0.10, t = 5, so the ending value is ...
E = 12(1 +0.10)^5 = 12(1.61051) = 19.32612
Demand for electrical services in 5 years will be about $19.3 million per year.
12. You want to buy a $175,000 home, and you have $60,000 saved up. The bank offers a 15-year mortgage at 3.2% interest.(a) If you expect to pay $5,775 in closing costs, what percentage down payment can you afford? Round your answer to the nearest tenth of a percent. %(b) If you put less than 20% down, you'll need to pay mortgage insurance. Will you require mortgage insurance?YesNo(c) What will the principal be on the loan?$ (d) What will your monthly P&I (principal and interest) payment be?$ (e) In addition to principal and interest, the property taxes will be 1.5% of the home value per year, the homeowners insurance will be $850 per year, and the mortgage insurance (if needed, according to part (b)) will be $40 per month. What will your total monthly payment amount be?$ (f) How much will you pay in total over 15 years in principal and interest?$ (g) How much interest will you pay in total?$
SOLUTION:
Step 1:
In this question,we have the following:
Step 2:
Part A: You want to buy a $ 175,000 and you have a $ 60,000 saved up.
The bank offers a 15-year mortgage at 3.2 % interest.
a) If you expect to pay $ 5,775 in closing costs. What percentage down payment can you afford? Round your answer to the nearest tenth of a percent.
If you saved up $60, 000 and the closing costs is $ 5,775
The difference will be:
\(60,000dollars\text{ - 5,775 dollars =54, 225 dollars}\)\(\begin{gathered} \text{Percentage of down payment = }\frac{54225}{175,000}X\text{ 100} \\ =\text{ }\frac{5,422,500}{175,000} \\ =\text{ 30.98571429} \\ \approx\text{ 31 \% ( to the nearest tenth)} \end{gathered}\)Part B :
If you put less than 20% down, you'll need to pay mortgage insurance.
Will you require mortgage insurance? YES or NO
The answer is NO because 31% is far more than 20%
Part C:
What will be the principal be on the loan?
The principal on the loan =
\(175,000\text{ dollars - 54,225 dollars = 120, 775 dollars}\)Part D:
What will be your monthly P & I (principal and interest) payment be?
\(It\text{ will be 845 dollars}\)Part E:
In addition to principal and interest, the property taxes will be 1.5 % of the home value per year, the house owners insurance will be $850 per year and the mortgage insurance. What will your total monthly amount be?
\(\frac{\frac{1.5}{100}(175000)+850}{12}\text{ + 845}\)\(\begin{gathered} =\text{ 289. 6+845} \\ =1134.6\text{ dollars} \end{gathered}\)Part F:
How much will you pay in total over 15 years in principal and interest?
\(\begin{gathered} \text{Monthly payment x Number of months} \\ =\text{ 845 x 15 x 12 } \\ =\text{ 152,100 dollars} \end{gathered}\)Part G:
How much interest will you pay in total?
\(\begin{gathered} \text{Amount - Principal} \\ =\text{ 152,100 - 120,775} \\ =\text{ 31,325 dollars} \end{gathered}\)
In the school competition jenny bounced a ball 150 times in 3 minutes. Express her bouncing rate in its simplest form
Answer:
Jenny bounced the ball 150 times She did that over an interval of 3 minutes To express rate of change over an interval you do \( \frac{change \: in \: motion}{change \: in \: time} \)So you get \( \frac{150}{30} = 50 \: bounces \: per \: minute\)Please rate positively and give brainlistTwo friends want to find out the distance across a creek. Friends A holds one end of a rope and is standing (2x^2+2x-2) feet from the creek blank. Friend B holds the other end of the rope and is standing (x^2+17) feet from the creek bank. If the rope the friends are holding is (6x^2-x+12 feet long, how wide is the creek?
Two buddies want to know how far a creek is across. The creek is (3x² - 3x - 3) feet wide.
We know the distance of Friend A from one end of bank and distance of Friend B from another end of the bank and the distance between Friend A and B which is the distance of the rope and we have to calculate the width of the creek.
Distance of rope = Distance of friend A from the one end of the bank + width of creek + distance of Friend B from another end of the bank
6x²- x + 12 = (2x²+2x-2) + width of the creek + (x²+17)
6x²- x + 12 = width of the creek + (2x²+ 2x - 2 + x² + 17)
6x²- x + 12 = width of the creek + ( 3x² + 2x + 15)
width of the creek = 6x²- x + 12 - ( 3x² + 2x + 15)
= 6x²- x + 12 - 3x² - 2x - 15
= 3x² - 3x - 3
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The image below showcases a right triangle .
My questions:
What is a c, what does that represent
What is this problem asking for me
How do I solve this problem? Are there any formulas in place?
The required value of P for the given problem is 14 units.
Explain application of trigonometry.There are six elements of a point usually utilized in trigonometry.. Their names and shortenings are sine (sin), cosine (cos), digression (tan), cotangent (bed), secant (sec), and cosecant (csc).
According to question:We have,
c = 28 units, angle(∅) = 30°
Using sine function to solve the problem.
Sin(∅) = perpendicular/hypothenius
Sin(30°) = P/28
P = 28/2 = 14 units
Thus, required value of P is 14 units.
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Beth wants to build a thin wire frame for a photo that is $$15 cm long and $$6 cm wide. What length of wire will she need to go around the entire photo?
Answer:
42
Step-by-step explanation:
1. PerimeterPerimeter is \(2l+2w\)
2. Solving\(2(15)+2(6)=30+12=42\)Answer: 42
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