Hello,
[tex] \frac{5}{4 - m} = \frac{ - 3}{2 + m} [/tex]
[tex]5(2 + m) = - 3(4 - m)[/tex]
[tex]10 + 5m = - 12 + 3m[/tex]
[tex]5m - 3m = - 12 - 10[/tex]
[tex]2m = - 22[/tex]
[tex]m = \frac{ - 22}{2} [/tex]
[tex]m = - 11[/tex]
→ Answer B
Variable m cannot be equal to any of the values −2,4 as division by zero is undefined. Multiply both sides of the equation by (m − 4)(m + 2), the lowest common denominator of 4−m,m + 2.
−(2 + m) ×5 = (m −4 )( −3 )To find the opposite of 2+m, find the opposite of each term.
(−2 −m) ×5 = ( m−4 )( −3 )Use the distributive property to multiply −2−m by 5.
−10 −5m = ( m−4 )( −3 )Use the distributive property to multiply m−4 by −3.
−10 −5m =−3m + 12Add 3m to both sides.
−10 − 5m + 3m =12Combine −5m and 3m to get −2m.
−10 −2m = 12Add 10 to both sides.
−2m = 12 + 10Add 12 and 10 to get 2.
−2m = 22Divide both sides by −2.
m = 22 / -2Divide 22 by −2 to get −11.
m = −11Therefore, the correct option is "B".
30 points please help i dont understand
Answer:
502.4 ft²
Step-by-step explanation:
To find the individual area of the ring, you first need to find the area of the white circle. Then, you need to find the area of the circle and the ring (which can be found by adding the width of the ring to the radius of the circle). Finally, you can find the area of the ring through subtraction.
Area (White Circle)
radius = 1/2 diameter
radius = (1/2) x 36 ft
radius = 18 ft
Area = πr²
Area = π(18 ft)²
Area = π(324 ft²)
Area = 1017.36 ft²
Area (White Circle + Ring)
radius = 1/2 diameter + width of ring
radius = (1/2 x 36 ft) + 4 ft
radius = 22 ft
Area = πr²
Area = π(22 ft)²
Area = π(484 ft²)
Area = 1519.76 ft²
Area (Ring)
Area (Ring) = Area (White Circle + Ring) - Area (White Circle)
Area (Ring) = 1519.76 ft² - 1017.36 ft²
Area (Ring) = 502.4 ft²
explian GOLDEN RATION singinficane
[tex]\large\bold\blue{ANSWER:-}[/tex]
Golden ratio, also known as the golden section, golden mean, or divine proportion, in mathematics, the irrational number (1 + Square root of√5)/2, often denoted by the Greek letter ϕ or τ, which is approximately equal to 1.618.
according to the graph, what is the value of the constant in the equation below?
Answer:
3
Step-by-step explanation:
height = constant * width
let's rearrange this equation
constant = height/width
let's pick several points as a proof
15/5 =3
6/2 =3
1.5/0.5 = 3
hope this helps you!!
m is inversely proportional to the square of (p-1).
When p = 4, m = 5.
Find m when p = 6.
Answer:
9/5
Step-by-step explanation:
First we have to find the constant k
m = k/(p-1)^2 (p-1)^ goes on the bottom of the fraction because of the inverse.
5 = k/(4-1)^2
5 = k/3^2
5 = k/9 Multiply both side by 9
45 = k We know can use this constant to solve our problem
m = 45/(6-1)^2
m = 45/5^
m = 45/24
m = 9/5
Drag the tiles to the correct boxes to complete the pairs. Match the systems of equations with their solutions.
The systems of linear equations have been matched with their respective solutions as shown in the image attached below.
What is a system of linear equations?A system of linear equations can be defined as an algebraic equation of the first order that has two (2) variables with each of its term having an exponent of one (1).
In this exercise, you're required to match the systems of linear equations with their respective solutions as shown in the image attached below.
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LaQuinta is in the French club with 25 other students. Three exchange
students will be attending her school from France. If the French teacher
chooses a student at random to guide each of the visiting students, what is
the probability that LaQuinta will NOT be picked as a guide?
Answer: 23/26
Step-by-step explanation:
Let’s say we have 3 spots, one for each of the three exchange students. It doesn’t matter who goes with who, we’re just going to choose people.
If LaQuinta is NOT one of the people chosen, then there are 25 possible people left to become tour guides. We will need to choose 3 of them, so there are (25 choose 3) = 2,300 ways.
With no restrictions, there are 26 people to choose from and 3 spots to fill. Therefore there are (26 choose 3) = 2,600 ways to fill these 3 spots with no restrictions.
The total probability is 2,300/2,600, which simplifies to 23/26.
Read the excerpt from Chapter 3 of Wheels of Change . In 1881, as women in the United States continued to struggle with hoops and corsets and other fashion architecture, their counterparts in England formed the Rational Dress Society. This society called for more reasonable clothing solutions, including limiting the weight of a woman's undergarments to seven pounds. Why was the Rational Dress Society formed? to advocate for more functional cycling and athletic gear for women to push for more beautiful, intricate styles of clothing for women to encourage English women to dress differently than American women to promote safer, more comfortable styles of dress for women
Step-by-step explanation:
Chapter 3 of Wheels of Change .
But the bicycle craze had a more lasting impact on women’s clothing than just the use of bloomers. Thanks in large part to cycling, the innovation of rational dress reformers were starting to take effect by the end of the 1890s. Corsets were on their way out, dresses were getting shorter, and women no longer wore the heavy, bulky undergarments that gave them round, unnatural shapes. These changes went a long way toward unburdening women and setting the stage for them to be healthier and more active in the coming century.
Based on the excerpt, women in the 1890s became more independent and their lives improved as a result of
a rise in the popularity of bicycles.
a rise in the popularity of corsets.
cycling becoming less socially acceptable.
clothing becoming more restrictive.
Answer:
to promote safer, more comfortable styles of dress for women
Step-by-step explanation:
to promote safer, more comfortable styles of dress for women
1/2a+2/3b=50 when b=30?
The given equation is (1/2)a + (2/3) b = 50
and b = 30
Substituting the given value of b is above the equation we get
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{\Rightarrow\left(\frac{1}{2}\right)a+\left(\frac{2}{3}\right)\times30=50 } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{\Rightarrow \left(\frac{1}{2}\right)a+20=50 } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{\Rightarrow\left(\frac{1}{2}\right)a=50-20=30 } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{\Rightarrow a = 30 \times 2 = 60 } \end{gathered}$}[/tex]
Therefore, a = 60 and b = 30 is a solution of the given equation.
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https://brainly.com/question/12950748This is confusing me please someone help
Answer:
The distance from the plane to the observer tower is 7.7 kmStep-by-step explanation:
We are given two sides and one angle opposite to one of the known sides.
In order to find the missing side we need to use the law of sines.
Step 1Find the angle opposite to the second known side, let it be x.
sin 68°/7.5 = sin x /5.2sin x = 5.2 sin 68°/7.5sin x = 0.64 (rounded)x = arcsin 0.64x = 39.8°Step 2Find the missing third angle y, using angle sum theorem:
68° + 39.8° + y = 180°107.8° + y = 180°y = 180° - 107.8°y = 72.2°Step 3Find the required side length z, the distance from the plane to the observer tower, using the law of sines again.
Note. At this point you can use the law of cosines as we have found the angle between the known sides.
sin 68°/7.5 = sin 72.2°/zz = 7.5 sin 72.2°/sin 68°z = 7.7 km (rounded)
So the required distance is 7.7 km
5x=3125 how do i solve that
Answer:
just divide 3125 by 5 and your answer is 625
Step-by-step explanation:
Using division, 3125 by 5 and get answer 625.
How can we interpret the division?When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.
If 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.
Division can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.
Thus, a / b = a divided in b equal parts.
We have been given 5x = 3125
Divide by 5 each sides;
x = 3125/5
x = 645
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find the missing length indicated 144 and 60
The missing length in the right triangle as given in the task content is; 156.
What is the missing length indicated?It follows from the complete question that the triangle given is a right triangle and the missing length (longest side) can be evaluated by means of the Pythagoras theorem as follows;
x² = 144² + 60²
x² = 20736 + 3600
x² = 24,336
x = √24336
x = 156.
Remarks: The complete question involves a right triangle and the missing length is the longest side.
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Need help w this problem
Answer:
9, 18Step-by-step explanation:
The key word "product" tells us to multiply.
And, you probably know, but "integer" just means "number".
The question is, essentially:
A × B = 162 where A is half of B.
As someone who was never gifted in math, my best suggestion for something like this is to grab a calculator and start dividing 162 by all the numbers below 10. You will know you've got your answer when the calculator gives you a number that is twice the number you divided by.
In this case, I divided 162 by 9 and got 18. Since 9 is half of 18, and multiplied they make 162, we know this is the correct answer.
Hope this helps
Nakeisha read 2 and 3/5 pages in 6 minutes at what rate, in pages per hour, did she read?
The rate at which she reads is 26 pages per hour
How to determine the rate?The given parameters are
Pages = 2 and 3/5
Time = 6 minutes
Convert the time from minutes to hour
Time = 6/60 hour
This gives
Time = 0.1 hour
The rate at which she reads is calculated as:
Rate = Page/Time
This gives
Rate = (2 and 3/5)/0.1 hour
Rewrite as:
Rate = 2.6 pages/0.1 hour
Divide
Rate = 26 pages per hour
Hence, the rate at which she reads is 26 pages per hour
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What is the height, x, of the equilateral triangle shown?
60°
60°
10 in.
60°
O A. 5in.
O B.
OC. 10in.
OD. 10√3in.
5√/3in.
Answer:
B
Step-by-step explanation:
Drop an altitude. Either of the two resulting right triangles with legs of length 5 and x and a hypotenuse of 10.
By the Pythagorean theorem, it follows that the answer is B.
Write the slope-intercept form of the equation of each line
1. 9x -7y = -7
2. 11x -4y = 32
3. 11x- 8y = -48
The slope intercept equation can be represented as follows:
y = 9 / 7 x + 1
y = 11 / 4 x - 8
y = 11 / 8 x + 6
How to write slope intercept equation?The slope intercept equation can be represented as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore,
The slope intercept equation can be represented as follows:
9x - 7y = - 7
7y = 9x + 7
y = 9 / 7 x + 1
11x - 4y = 32
4y = 11x - 32
y = 11 / 4 x - 8
11x - 8y = -48
8y = 11x + 48
y = 11 / 8 x + 6
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PLEASE HELP FAST!!! Find the surface area of the composite figure. Round your answer to the nearest tenth if necessary.
The total surface area of the composite figure is calculated as 444 m².
What is the Surface Area of the Composite Figure?Total surface area = surface area of the bottom rectangular prism + surface area of the top triangular prism - area of the shared surface.
Surface area of the triangular prism = (S1 + S2+ S3)L + bh = (16 + 10 + 10)5 + (6)(16) = 276 m²
Rectangular prism surface area = 2(wl + hl + hw) = 2(5×16 + 4×16 + 4×5) = 328 m²
Area of shared surface = 2(16)(5) = 160 m²
Total surface area = 328 + 276 - 160 = 444 m².
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Cuantos litros de agua se necesitan para llenar una piscina de 20m de largada, 12m de ancho y 2m de profundidad
Answer: 480
Step-by-step explanation:
20(12)(2) = 480
In 2016, 5,200 parking permits were issued in a city. The number of parking permits increases by 5% every year. Let y represent the number of parking permits issued x years since 2016. Which type of sequence does the situation represent? A.The situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.
B.
The situation represents an arithmetic sequence because the successive y-values have a common difference of 1.5.
C.
The situation represents a geometric sequence because the successive y-values have a common ratio of 1.5.
D.
The situation represents an arithmetic sequence because the successive y-values have a common difference of 1.05.
The situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.
How to determine the situation?The given parameters are:
Initial = 5200
Rate = 5%
Because the population by 5% every year, then the situation is a geometric sequence.
The common ratio is then calculated as:
Ratio = 1 + Rate
This gives
Ratio = 1 + 5%
Evaluate
Ratio = 1.05
Hence, the situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.
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In 2016, Alberta had about 4.2 million people.
Assuming they follow the same population
growth rate, it is predicted they will have 6.65
million people in 20 years. At what rate is the
province's population growing?
the population of province is growing at the rate of 2.91%
What is the formula of the rate of growth of a population?the formula of the rate of growth of a population =
[(future population- initial population/initial population)*100]/time
population in 2016 = 4.2 milllion = 4200000
Population predicted in 20 years = 6.65 million = 6650000
so, initial population = 4200000
future population = 6650000
rate of growth = {(6650000- 4200000/4200000)*100]/20
= 58.33/20
= 2.91%
the population is growing at the rate of 2.91%
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find the area of following figure...?
Answer:
33600 m²
Step-by-step explanation:
The top and bottom horizontal sides are parallel, so this is a trapezoid with bases DC and AB. The height is BC.
area of trapezoid = (a + b)h/2
where a and b are the lengths of the bases, and h is the height.
We need to find the height, BC.
Drop a perpendicular from point A to segment DC. Call the point of intersection E. E is a point on segment DC.
DE + EC = DC
EC = AB = 360 m
DC = 600 m
DE + 360 m = 600 m
DE = 240 m
Use right triangle ADE to find AE. Then BC = AE.
DE² + AE² = AD²
DE² + 240² = 250²
DE² = 62500 - 57600
DE² = 4900
DE = √4900
DE = 70
BC = 70 = h
area = (a + b)h/2
area = (600 m + 360 m)(70 m)/2
area = 33600 m²
Answer:
33,600 m^2.
Step-by-step explanation:
This is a trapezium, so
Area = (h/2)(a + b)
= (h/2) ( 360 + 600)
= 960h / 2
= 480h,
We find the value of h using Pythagoras:
250^2 = h^2 + (600-360)^2
h^2 = 250^2 - 240^2 = 4900
h = 70.
So the Area = 70 * 480
= 33,600 m^2
Clarice was late paying her credit card bill of $249. She was charged a 5% late fee. What was the amount of the late fee?
Answer:
You subtract 249 minus 5
3x-2y=10 find the y intercept and the x intercept
Answer:
(0, -5) (10/3, 0)
Step-by-step explanation:
First, convert the given equation into the slope-intercept form, y = mx + b, where m represents the slope and b represents the y-intercept.
3x - 2y = 10
2y = 3x - 10
y = 3/2x - 5
The y-intercept is -5.
Next, to find the x-intercept, let y = 0 and solve for x. X-intercept is the point where the graph intersects the x-axis, so the y-coordinate of x-intercepts are always 0.
3x - 2*0 = 10
3x - 0 = 10
3x = 10
x = 10/3
X-INTERCEPT
Plug y=0 into the equation and solve the resulting equation 3x=10 for x.
The x-intercept:
[tex]\left(\frac{10}{3},0\right)\approx \left(3.33333333333333,0\right)[/tex]
Y-INTERCEPT
Plug x=0 into the equation and solve the resulting equation −2y=10 for y.
The y-intercept:
[tex]\left(0, -5\right)[/tex]
The same eight people sit in a certain church pew every week, but not always in the same order. Every week, each person hugs the people immediately to his or her left and right. How many weeks does it take (at a minimum) for every pair of people to hug at least once
It takes 4 weeks at minimum for each pair to hug at least once if they sit in random order.
Analyzing the Given Information
As per the given information,
Number of people = 8
It is given that they sit in random order every week.
W e assume that the order is not repeated.
There are 4 pairs and since a person hugs both the persons on his immediate left and right.
Determining the Number of Weeks
Total number of people to be hugged by each person = 7
Number of people hugged by a person in one week = 2
So, number of weeks taken by each to huge every other person = 7/2
⇒ It will take (3 +1) for every pair to hug.
It takes 4 weeks at a minimum for every pair to hug if we assume that their order is not repeated.
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State all integer values of x in the interval [2,8] that satisfy the following inequality: 5x+ 4 > 19
The following integer values of x satisfy the given inequality,
4, 5, 6, 7, 8
What is an inequality?
An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made using inequality.
Solving the Inequality
The given inequality is,
5x + 4 > 19
5x > 19 - 4
5x > 15
x > 15/5
x > 3
So, the required values of x must be greater than 3 in the given interval, [2,8]
Thus, the integer values of x in the the interval [2,8] that satisfy the given inequality are 4, 5, 6, 7 and 8 (∵ Square brackets of an interval denote inclusion of the terminal values).
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Quick algebra 1 question only for 5 points :(
I would give more but people have been stealing my 100 point questions :(
Only answer if you know the answer, quick shout-out to Dinofish32, tysm for the help!
[tex]x = y + 5 \\ y = x - 5[/tex]
2)[tex]x = \frac{3}{8} y \\ y = \frac{8}{3}x [/tex]
3)[tex]x = - y - 2 \\ y = - 2 - x[/tex]
4)[tex]x = 6y + 1 \\ 6y = x - 1 \\ y = \frac{x - 1}{6} [/tex]
5)[tex]x = y - 11 \\ y = x + 11[/tex]
6)[tex]x = 8y \\ y = \frac{x}{8} [/tex]
7)[tex]x = \frac{ - 1}{3} y \\ y = - 3x[/tex]
[tex]basically \: flip \: x \: and \: y \: then \: solve \: for \: y[/tex]
The length of time needed to complete a certain test is normally distributed with mean 44 minutes and standard deviation 8 minutes. Find the probability that it will take less than 34 minutes to complete the test.
The probability that it willtake less than 34 minutes to complete the test is 0.1056
Given mean of 44 minutes and standard deviation of 8 minutes.
We have to find the probability that it will take less than 34 minutes to complete the test.
The probability lies between 0 and 1. The formula to calculate probability is number of items divided by total items but it can also be found through z test calculations.
We are using z test to find the probability.
Z=X-μ/σ
Where μ is sample mean and
σ= standard deviation
Z is z value
First we will find the p value from 34 to 44.
Z=34-44/8
=-10/8
=-1.25
P value for X<34=P(Z<-1.25)
=0.5-0.3944
=0.1056.
Hence the probability that it will take less than 34 minutes is 0.1056.
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Graph and label each of the ordered pairs in the coordinate plane. Then state the quadrant
or axis in/on which the point is located.
55. A(2, 4)
56. B(0, -3)
57. C(1, -1)
59. E(-4,1)
61. G(-3,-2)
63. I(0, 2)
58. D(3, 3)
60. F(2,0)
62. H(-2, 3)
64. J(-1,-4)
and/or volume of the given figure.
d the perimeter & area:
The quadrants of the points that needs to be graphed are:
Quadrant 1- Points A and DQuadrant 2- Points E and HQuadrant 3- Points G and JQuadrant 4- Points Cx-axis- Point Fy-axis- Point B and IHow do you get the quadrants?Since the points that was given are:
A(2, 4) B(0, -3)
C(1, -1) E(-4,1)
G(-3,-2) I(0, 2)
D(3, 3) F(2,0)
H(-2, 3) J(-1,-4)
Then, we plot all the coordinate above on a graph (see image attached)
Hence, from the image attached graph, the categories that can be seen are:
Quadrant 1 is Points A and D
Quadrant 2 is Points E and H
Quadrant 3 is Points G and J
Quadrant 4 is Points C
x-axis- Point F
y-axis- Point B and I
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Which of the following shows the correct order of the numbers?
5/6, 12/13, 0.8
A.) 5/6 < 0.8 < 12/13
B.) 0.8 < 5/6 < 12/13
C.) 0.8 < 12/13 < 5/6
The correct order of the numbers is 0.8 < 5/6 < 12/13. The correct option is B.) 0.8 < 5/6 < 12/13
Magnitude of numbersFrom the question, we are to determine the correct order of the numbers
The given numbers are
5/6, 12/13, and 0.8
Convert the fractions to decimals
5/6 = 0.8333
12/13 = 0.923
Thus, the numbers are
0.8333, 0.923, and 0.8
Order the numbers from the smallest to the largest
0.8 < 0.8333 < 0.923
≡ 0.8 < 5/6 < 12/13
Hence, the correct order of the numbers is 0.8 < 5/6 < 12/13. The correct option is B.) 0.8 < 5/6 < 12/13
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Find the unknown angle
60°
Xº
30°
Answer:
x = 90°
Step-by-step explanation:
Hello!
The sum of angles on a straight line is 180°.
To find the value of angle x°, we can subtract all the given angles form 180°.
Find x180° - 60° - 30° = x°180° - 90° = x°90° = x°The value of x is 90°.
A car dealer acquires a used car for $7,000, with terms fob shipping point. compute total inventory costs assigned to the used car if additional costs include
$290 for transportation-in.
$190 for shipping insurance.
$1,000 for car import duties.
$200 for advertising.
$1,400 for sales staff salaries.
$190 for trimming shrubs.
Shipping points are independent organizational entities within which processing and monitoring of the deliveries, as well as goods issue, is carried out. A delivery is processed by one shipping point only.
"FOB shipping point" or "FOB origin" means the buyer is at risk once the seller ships the product. The purchaser pays the shipping cost from the factory and is responsible if the goods are damaged while in transit. "FOB destination" means the seller retains the risk of loss until the goods reach the buyer.
Please check the attached file for a complete answer.
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