Answer:
24x – 18
6(4x-3)is required factor.
1) A rectangle has the lengths shown
Find the perimeter of the rectangle.
Hi there! :)
[tex]\large\boxed{P = 32cm}[/tex]
Find the perimeter by solving for y.
We know that a rectangle contains two pairs of parallel and congruent sides, therefore:
5y - 1 = 2y + 8
We can solve for y using this expression. Begin by subtracting 2y from both sides:
5y - 2y - 1 = 2y - 2y + 8
3y - 1 = 8
Add 1 to both sides:
3y - 1 + 1 = 8 + 1
3y = 9
Divide both sides by 3:
y = 3
Recall that the perimeter of a rectangle is:
P = 2l + 2w
Plug in the given expressions for the side lengths to find one equation:
P = 2(5y - 1) + 2(y - 1)
Simplify by distribution:
P = 10y - 2 + 2y - 2
Combine like terms:
P = 12y - 4
Plug in the solved value of y into this equation:
P = 12(3) - 4
P = 36 - 4
P = 32 cm.
3. Graph the quadrilateral with the given vertices. Give the most descriptive name for the polygon. F(1,2). G(3,0), H(1,-2).
Answer:
Expand on the name.......
Solve the system of linear equations.
y = -2x - 4
y = 2x – 4.
The solution of the linear equations y = -2x - 4 and y = 2x - 4 is (0, -4).
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The linear equations are given below.
y = -2x - 4 ...1
y = 2x - 4 ...2
From equations 1 and 2, then we have
2x - 4 = - 2x - 4
4x = 0
x = 0
Then the value of the variable 'y' is calculated as,
y = 2(0) - 4
y = - 4
The solution of the linear equations y = -2x - 4 and y = 2x - 4 is (0, -4).
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ5
4(x−3)=1/2(x/2+5) how many solutions
I think it might be six, sorry if its wrong, but I hope its right!!
Hope this helps!!!!
love: Deku <3
FAST PLSSSSS
Find all real solutions to
x^2 + 4x + 4 = 100x^2 + 20x + 1.
If you find more than one, then list the values separated by commas.
Answer:
factor:
x^2+2x+2x+4
x(x+2)+2(x+2)
(x+2)(x+2)
100x^2+20x+1
100x^2+10x+(10x+1)
10(10x+1)+(10x+1)
(10x+1)(10x+1)=(x+2)(x+2)
Hope this helps you
Answer:
1/9, (-3)/11
Step-by-step explanation:
Both the left and right side are perfect squares,
(x + 2)^2 = (10x + 1)^2
In order for the squares to be equal, we must have the inner expressions equal to each other or negations of each other:
(x + 2) = [tex]\pm[/tex] (10x + 1)
or
x + 2 = -10x - 1
Simplifying the first equation gives 9x = 1 so 1/9 and simplifying the second equation gives 11x = -3, so (-3)/11
Convert 11/3 from an improper fraction into a mixed number
Answer: 3 2/3
Step-by-step explanation:
how many groups of 3 can u make out of 11 units? Answer: 3
Rest overs: 2/3
Answer:
3 2/3
Step-by-step explanation:
3 can go into 11, 3 times. 3x3=9 and 11-9=2 so the mixed number would be 3 2/3
(1,10), (18.-10) slope
Answer:
I think the slope is -20/17 hope this helps
On average, 3 percent of U.S. travelers do not show up for their flight. Suppose this probability is independent and constant across travelers. For a given flight from Seattle to San Francisco, an airline accepted a total of 103 reservations while the plane capacity is 100 seats. What is the probability that the airline will have to bump at least one passenger
Answer:
.3988 .
Step-by-step explanation:
We shall use Binomial distribution formula in the problem .
n = 103
The probability that a passenger will not miss the flight and show up = .97
The probability that a passenger will miss the flight = .03
n = 103 ,
probability of showing up 101 , 102 and 103 passengers so that at least 1 passenger will return or bump .
= 103C₁₀₁ .97¹⁰¹ .03² + 103C₁₀₂ .97¹⁰² .03+ 103C₁₀₃ .97¹⁰³
103 x 102 /2 .97¹⁰¹ .03² + 103 .97¹⁰² .03 + .97¹⁰³
= 5253 x .046 x .0009 + 103 x .00134 + .0434
= .2174 + .1380 + .0434
= .3988 .
The probability that the airline will have to bump at least one passenger is; 0.3988
Binomial probability distributionProbability that the travelers did not show up for the flight is; q = 3% = 0.03
Probability that they will show up for the flight is; p = 97% = 0.97
The formula for binomial probability is;P(X = r) = nCr × p^(r) × q^(n - r)
Thus, the probability that the airline will have to bump at least one passenger is;
(103C₁₀₁ × 0.97¹⁰¹ × 0.03²) + (103C₁₀₂ × 97¹⁰² × 0.03) + (103C₁₀₃ × 0.97¹⁰³ × 0.03⁰)
>> 0.2174 + 0.1380 + 0.0434
>> 0.3988
Read more on binomial probability at; https://brainly.com/question/15246027
Select the expression below that is equal to 6(10 - m).
A.
16 - m
B.
60 - m
C.
60 - 6m
D.
6m - 60
Answer:
The answer is C. 60-6m.
PLEASE HELP ITS EASY IM JUST TERRIBLE AT MATH!!!! ILL MARK BRAINLIEST. How many 1/8 are in 1 and 1/4
WRITE YOUR ANSWER AS A FRACTION NOT A MIXED NUMBER!!
PUt correct answer too please
Answer:
There are 8 - 1/8's in 1; andThere are 2 - 1/8's in 1/4.I will give brainiest to whoever answers correctly !!
rewrite 1/3 Barrel 2/3 hour as a unit rate
A. 4 1/2 Barrels/Hour
B. 2 barrels/hour
C. 2/9 barrel/hour
D. 1/2 barrel/hour
Answer:
c is correct answer is yes
Answer:
D. 1/2 barrel/hour
Step-by-step explanation:
Consumer Reports will have an article comparing refrigerators in the next issue. Some of the characteristics to be included in the report are the brand name and model; whether it has a top freezer, bottom freezer, or side-by-side layout; the estimated energy consumption per year (kilowatts); whether or not it is Energy Star compliant; the width, depth, and height in inches; and both the freezer and refrigerator net capacity, in cubic feet. What variables are categorical, and which are quantitative?
Answer:
brand name and model - - > CATEGORICAL
whether it has a top freezer, bottom freezer, or side-by-side LAYOUT - - > CATEGORICAL
the estimated energy consumption per year (kilowatts); - - - > QUANTITATIVE
whether or not it is Energy Star COMPLIANT - - > CAREGORICAL
the width, depth, and height in INCHES - - - > QUANTITATIVE
both the freezer and refrigerator net capacity, in cubic FEET - - - > QUANTITATIVE
Step-by-step explanation:
Given the following refrigerator characteristics :
brand name and model - - > CATEGORICAL
whether it has a top freezer, bottom freezer, or side-by-side LAYOUT - - > CATEGORICAL
the estimated energy consumption per year (kilowatts); - - - > QUANTITATIVE
whether or not it is Energy Star COMPLIANT - - > CAREGORICAL
the width, depth, and height in INCHES - - - > QUANTITATIVE
both the freezer and refrigerator net capacity, in cubic FEET - - - > QUANTITATIVE
To start with ; Categorical and quantitative variables differ most notably in the fact that, quantitative variables deals with numbers, measurements or calculated mathematical values of certain attribute in a measured species or sample. Categorical variable on the other hand mostly deals with making distinctions in properties of a sample by grouping the varibale into the different available categories based on their attributes.
Andy and Jim are going to compete in the 100-meter dash against each other. Let AAA be the time it takes Andy to complete the race, and JJJ be the time it takes Jim to complete the race. Based on previous results, they know that \mu_A=11.5μ A =11.5mu, start subscript, A, end subscript, equals, 11, point, 5 seconds and \sigma_A=1σ A =1sigma, start subscript, A, end subscript, equals, 1 second. They also know that \mu_J=10.5μ J =10.5mu, start subscript, J, end subscript, equals, 10, point, 5 seconds and \sigma_J=0.5σ J =0.5sigma, start subscript, J, end subscript, equals, 0, point, 5 seconds.
Answer:
μd= 1 second
σd= square root (1.25) = √1.25 seconds= 1.1180 seconds
Step-by-step explanation:
Assume that their times are independent. Let DDD be the difference between their times in a random 100-meter dash (D=A-J)(D=A−J)left parenthesis, D, equals, A, minus, J, right parenthesis.
Find the standard deviation of DD
The mean difference is found out by subtracting the individual means.
The mean difference = μd= μA- μJ= 11.5- 10.5= 1 second
The difference standard deviation is given by the square root of sum of the individual variances divided by n. But here n1= n2= 1
σd = sqrt( σ1² / n1 + σ2 ²/ n2 )
First we calculate the variances.
Variance is the square of the standard deviation.
The variance of Andy =σA²= 1²= 1
The variance of Jim =σJ²= (0.5)²= 0.25
The standard deviation difference= σd= √σ²A+ σ²J/1= √1+ 0.25/1= √1.25/1 = √1.25 seconds = 1.1180 seconds
Use the distributive property to remove the parentheses.
-4(-6y + 2w-4)
Answer: 24y - 8w + 16
Step-by-step explanation:
Basically to remove the parenthesis you just distribute the -4 outside of the parenthesi and you get 24y - 8w + 16.
pls help, you have to write in fraction form.
Answer:
42/145
Step-by-step explanation:
i tried might be wrong
Simplify:
з (2(3) + (4 — 2)(3) - (6 – 2)(2)]
A. 3
В. 12
С. 0
D. 24
E. -3
Answer:
the answer is 4
Step-by-step explanation:
none of the options are right
HELP PLEASE 100 POINTS PLUS BRAINLIEST, (I had the answers already but some reason they got deleted
Answer:
[tex]\mathrm{11.\:}\frac{176}{5}\pi\:\mathrm{ft^2},\\\\\mathrm{12.\:}\frac{1573}{18}\pi\:\mathrm{mi^2},\\\\\mathrm{13.\:}\frac{269.08}{24}\pi\:\mathrm{km^2}\\\\\mathrm{14.\:}\frac{252.05}{6}\pi\:\mathrm{cm^2}\\\\\mathrm{15.\:}\frac{870.75}{72}\pi\:\mathrm{yd^2}\\\\\mathrm{16.\:}\frac{5953.48}{36}\pi\:\mathrm{m^2}[/tex]
Step-by-step explanation:
The area of a sector can be given as:
[tex]\frac{c^{\circ}}{360^{\circ}}\cdot r^2\pi[/tex], where [tex]c[/tex] is the angle of the sector in degrees.
Problem 11:
[tex]\frac{88^{\circ}}{360^{\circ}}\cdot 12^2\pi=\fbox{$\frac{176}{5}\pi\:\mathrm{ft^2}$}[/tex]
Problem 12:
[tex]\frac{260^{\circ}}{360^{\circ}}\cdot 11^2\pi=\fbox{$\frac{1573}{18}\pi\:\mathrm{mi^2}$}[/tex]
Problem 13:
Convert radians to degrees:
[tex]\frac{7\pi}{12}\cdot\frac{180}{\pi}=105^{\circ}[/tex]
[tex]\frac{105^{\circ}}{360^{\circ}}\cdot 6.2^2\pi=\fbox{$\frac{269.08}{24}\pi\:\mathrm{km^2}$}[/tex]
Problem 14:
Convert radians to degrees:
[tex]\frac{5\pi}{3}\cdot \frac{180}{\pi}=300^{\circ}[/tex]
[tex]\frac{300^{\circ}}{360^{\circ}}\cdot 7.1^2\pi=\fbox{$\frac{252.05}{6}\pi\:\mathrm{cm^2}$}[/tex]
Problem 15:
[tex]\frac{215^{\circ}}{360^{\circ}}\cdot 4.5^2\pi=\fbox{$\frac{870.75}{72}\pi\:\mathrm{yd^2}$}[/tex]
Problem 16:
Convert radians to degrees:
[tex]\frac{13\pi}{18}\cdot\frac{180}{\pi}=130^{\circ}[/tex]
[tex]\frac{130^{\circ}}{360^{\circ}}\cdot 21.4^2\pi=\fbox{$\frac{5953.48}{36}\pi\:\mathrm{m^2}$}[/tex]
Which expression is equivalent to (6-2i)(2-3i)?
Answer:
Step-by-step explanation:
(6-2i)(2-3i)=
we will use foil to multiply
-12-18i-4i+6(i^2)=
now remeber that (i^2)=-1
=12-22i-6=6-22i
Explanation: To multiply two complex numbers, use the F.O.I.L method.
So we have (6 - 2i)(2 - 3i).
So we have 12 - 18i - 4i + 6i².
Combining like terms, we have 12 - 22i + 6i².
Now, remember that i² is equal to -1 so we have
12 - 22i + 6(-1) or 12 - 22i - 6 or 6 - 22i.
So our answer is 6 - 22i.
1. How could you find the actual number of sticky notes it will take to cover the cabinet, excluding the bottom? What information would you need to know?
Hey there!
You would probably need to know the dimensions and surface area of the cabinet, and the dimensions and area of the sticky notes.
Hope it helps and have an amazing day!
Alonso signed up for a streaming music service that costs $8 per month. The service
allows Alonso to listen to unlimited music, but if he wants to download songs for
offline listening, the service charges $0.50 per song. How much total money would
Alonso have to pay in a month in which he downloaded 40 songs? How much would
he have to pay if he downloaded s songs?
Answer:
0.5s + 8 is the cost if he downloaded s songs
$28 is the cost for downloading 40 songs
Step-by-step explanation:
First, create an equation to represent the cost where s is the number of songs
Since it is 0.50 per song, the cost per song can be represented by 0.5s. Then, add 8 to this in the equation to represent the monthly fee.
Put this together:
0.5s + 8 is the cost if he downloaded s songs
Plug in 40 as s to find the cost for 40 songs downloaded:
0.5s + 8
0.5(40) + 8
20 + 8
= 28
So, the cost for downloading 40 songs is $28
Answer:
28
Step-by-step explanation:
40 downloaded songs times .50 = 20 dollars plus the 8 dollars he pay every mouth so it's 28 dollars that mouth where he downloaded 40 songs.
y = s x .50 + 8
What are the truth values of Q v ~R?
Answer:
ttft
Step-by-step explanation:
What is the linear inequality of the graph shown?
Answer:
Tough to tell by just the straight graph, but the inequality will be > or < due to the dashed line
Answer:
y>4x-2
Step-by-step explanation:
Find the slope, which is 4, from (0,-2) and (1,2).
Find the y-intercept, which is -2, because it touches the y-axis at (0,-2).
We know the equation would be a greater/less than sign because the line is dashed.
To find out which sign it is, just substitute a random point from the shaded area. (I like to use (0,0)).
(0)<4(0)-2 (0)>4(0)-2
0<0-2 0>0-2
0<-2 0>-2
The one on the right, 0>-2, is true so the sign is a greater than sign.
which expression has the least value when x = 100
A. 1/x
B. 10/x
C. 1-x
D. 10-x
Answer:
C. 1-x
Step-by-step explanation:
Negatives are alwys less than positives meaning a&b are out and 1-100 is -99 and 10-100 is -90 meaning that C is your answer
solve [(x+7) x 3-5] / 4 = 7
What is the first step in this equation
Answer:
The first step is to slove the numbers in the brackets
Step-by-step explanation:
[(x+7) x -2] / 4 = 7
-2(x+7) / 4 = 7
-2x-14 / 4 = 7
-2x-14 = 28
-2x = 42
x = -21
PEMDAS
A tree is currently 10 feet tall and grows 2 feet per year.
Write a formula for the table in slope-intercept form.
f(3) =
How tall, in feet, will the tree be in 15 years?
Answer:
10+2x
the tree would be 40 feet tall in 15 years.
WILL GIVE BRAINLIEST FOR ANSWER I’m gonna fail help please
Answer: A
Step-by-step explanation:
might as well tell ur teachers ur awesome no matter wat.
The quotient of 3 times a number n and 6 is 8. What is the value of n?
A.
24
B.
48
C.
4
D.
16
Answer:
d
Step-by-step explanation:
Help please please ugufidhdjdift
Jenny served one scoop of ice cream to her friends using a 3/4 cup scooper. She
served herself and 4 friends ice-cream. How many total cups of ice-cream did
she serve? Your answer can be written as an improper fraction or mixed fraction
and must contain your label."
Answer:
75?
Step-by-step explanation:
1/4 = 25
25 x 3 =75
----
3/4=75