Answer:
[tex]=\frac{4y}{y+3}[/tex]
Step-by-step explanation:
[tex]\frac{2y}{y-3}\cdot \frac{4y-12}{2y+6}\\\frac{4y-12}{2y+6}=\frac{2\left(y-3\right)}{y+3}\\\frac{4y-12}{2y+6}\\\mathrm{Factor}\:4y-12:\quad 4\left(y-3\right)\\4y-12\\\mathrm{Rewrite\:as}\\=4y-4\cdot \:3\\\mathrm{Factor\:out\:common\:term\:}4\\=4\left(y-3\right)\\=\frac{4\left(y-3\right)}{2y+6}\\\mathrm{Factor}\:2y+6:\quad 2\left(y+3\right)\\2y+6\\\mathrm{Rewrite\:as}\\=2y+2\cdot \:3\\\mathrm{Factor\:out\:common\:term\:}2\\=2\left(y+3\right)\\=\frac{4\left(y-3\right)}{2\left(y+3\right)}[/tex]
[tex]\mathrm{Divide\:the\:numbers:}\:\frac{4}{2}=2\\=\frac{2\left(y-3\right)}{\left(y+3\right)}\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=\frac{2\left(y-3\right)}{y+3}\\=\frac{2y}{y-3}\cdot \frac{2\left(y-3\right)}{y+3}\\\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}\\=\frac{2y\cdot \:2\left(y-3\right)}{\left(y-3\right)\left(y+3\right)}\\\mathrm{Cancel\:the\:common\:factor:}\:y-3\\=\frac{2y\cdot \:2}{y+3}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:2\cdot \:2=4\\=\frac{4y}{y+3}[/tex]
Answer:
12/6
Step-by-step explanation:
How to expand the following problem
The SAT mathematics scores in the state of Florida for this year are approximately normally distributed with a mean of 500 and a standard deviation of 100
Using the empirical rule, what is the probability that a randomly selected score lies between 500 and 700? Express your answer as a decimal and round to 3 decimal places.
question: when do you take the SAT test
The graph of the function f(x) = –(x + 3)(x – 1) is shown below.
Answer:
Step-by-step explanation:
it is a downward parabola cutting x-axis at (-3,0),(1,0)
f(x)=-(x+3)(x-1)
=-(x²+2x-3)
=-(x²+2x+1-1-3)
=-(x+1)²+4
vertex is (-1,4)
Quanto fa 5+5
Quanto fa 5+5
Answer:
10
Step-by-step explanation:
5+5=10
Answer:
5+5+ 10
Step-by-step explanation:
You can think of it as 5x2 which would get you 10 as the first way would too.
Determine the probability of each event flipping a coin and getting heads
ANSWER ASAP
Answer:
A coin has 1 head and 1 tail.
=> Probability of flipping a coin and getting head: 1/2
Hope this helps!
:)
In a class 27 of students, 12 have a cat and 11 have a dog. There are 5 students who have a cat and a dog. What is the probability that a student has a dog given that they have a cat?
Answer:
41.67% probability that a student has a dog given that they have a cat
Step-by-step explanation:
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: having a cat.
Event B: having a dog.
12 of 27 students have a cat:
This means that [tex]P(A) = \frac{12}{27}[/tex]
5 students who have a cat and a dog.
This means that [tex]P(A \cap B) = \frac{5}{27}[/tex]
What is the probability that a student has a dog given that they have a cat?
[tex]P(B|A) = \frac{\frac{5}{27}}{\frac{12}{27}} = \frac{5}{12} = 0.4167[/tex]
41.67% probability that a student has a dog given that they have a cat
Write 7/18 as a decimal number. Round to two decimal places.
0.38 is 7/18 (filling space)
Answer:
0.388888889
Step-by-step explanation:
Solve for an angle in right triangles
T.T
Answer:
Angle A equals 59 degrees.
Step-by-step explanation:
sin^-1(6/7)=Angle A
Therefore, Angle A equals 59 degrees.
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Andy is hanging wallpaper in his kitchen. He is able to cover of the walls in the room using 6 rolls of wallpaper. What is the number of rolls of paper used per wall? The number of rolls per wall is .
Answer:
3/2 Per wall
Step-by-step explanation:
There are four walls in a room.
6/4 = 3/2
To check your work, you can do 3/2 *4
3/2*4 = 6
Hope this helps!! :)
The number of rolls that each wall requires is 1.5.
What is Unitary Method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
Steps to Use Unitary MethodFirst, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.
Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.
Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.
Given:
There are four walls in a room.
He is able to cover of the walls in the room using 6 rolls of wallpaper.
let x as the number of rolls that each wall requires.
So, 4x =6 rolls
x=6/4
x= 1.5 rolls
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FP!!!!!!!!!!!!!!!
What is (10 x 10 ) + 50 + 1 =
look at the attached picture
Hope it will help you
Answer:
((2•5x10) + 50) + 1
10x10 + 51 =
Answer: 151 :)
Express the confidence interval (0.086 comma 0.130 )in the form of ModifyingAbove p with caret minus Upper E less than p less than ModifyingAbove p with caret plus Upper E.
Answer:
C.I = 0.108 ± 0.022
Step-by-step explanation:
In this case, we are given a symmetric confidence interval, and the sample proportion p', is derived by finding the average of the two values.
Therefore, the sample proportion will be:
[tex] p' = \frac{0.086 + 0.130}{2} [/tex]
[tex] = \frac{0.216}{2} [/tex]
= 0.108
p' = 0.108
To find the margin of error, we have:
M.E = ½ * length of confidence interval
Where length of confidence interval = 0.130 - 0.086
= 0.044
Therefore,
[tex] M.E = \frac{1}{2} * 0.044 = 0.022 [/tex]
Margin of error = 0.022
The confidence interval is expressed as:
p' ± M.E
= 0.108 ± 0.022
Please Help!
What is m
Answer:
"m" is used after a number to represent thaT
Step-by-step explanation:
Answer:
M is the alphabet which is representing the side of the triangle.
HOPE IT WILL BE HELPFUL FOR U
This is two different questions in one. Solve for the given variable. 1. 4y+3=19 2. 12n-3=5
Answer:
y=8
n=1.5
Step-by-step explanation:
at a sale, costs were sold for $10 each. if the coats originally cost $20 each, what percentage of its original price was a coat sold for?
Solve the system of linear equations by substitution.
y=−4x−9
4x−y=1
Answer:
x=-1, y=-5 ---> (-1, -5)
Step-by-step explanation:
so you want to plug one equation into the other. so start off by plugging y=−4x−9 into the y value of 4x−y=1-----> 4x-(-4x-9)=1. now subtract and isolate x which ends up being x=-1. now plug the x=-1 into either equation and isolate and solve for your y value which ends up being y=-5. you can check you answer by plugging both the x and y you found into one equation and making sure the answer it gives is true. ;)
The solution for equations y=-4x-9 and y=-4x-9 is x=-1, y=-5.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
The given equations are,
y=-4x-9 (1)
4x-y=1 (2)
From equation (1), substitute the value of y in equation (2)
4x-(-4x-9)=1
8x+9=1
8x=-8
x=-1
Substitute x=-1 in equation (1),
y=-4(-1)-9
y=4-9
y=-5
The value of x is -1 and y is -5
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I’m doing work that if I miss one I have to start over. Having lots of issue passing this
Answer:
0.25
Step-by-step explanation:
Probability is the chance you get a certain thing when you pick randomly. In this case, it's asking the probablility of picking someone from a whole student survey that does music or drama.
Looking at the two way table is easy! Out of all grades, 65 are in sports, 25 have music or drama, and 10 has work. Add them all up and get 100.
However, we only found the people in the survey. We need to find the probability of someone in music and drama. So we divide the number of people in all grades who take that class and divide it by the total amount- 25/100, this turns out for the probability to be 0.25.
PLS HELP!
Which of the following questions are statistical questions? (more than one and assume the question is asked of the entire class)
A
How many dogs do you own?
B
How tall is Mrs. Zieroff?
C
What did you eat for dinner?
D
What were the ingredients in last nights soup?
E
How far did each paper airplane travel?
Answer:
A,C,E
Step-by-step explanation:
A statistical question has variability in the answer, so,
A=could range from any numbers providing a wide range of results
B=it's one answer (eg.5ft4) meaning a range can't be produced
C=could range from any food providing a wide range of results
D=One answer so no variations possible
E= could be a range of numbers
Devon purchased one bag of dog food and three bags of cat food. Each bag of dog food weighs x pounds and each bag of cat food weighs half as much as the bag of dog food. The total weight of Devon's purchase is 32.5 pounds. The equation x+3(x/2)=32.5 can be used to determine the weight of the dog food and cat food. What is the weight in pounds of one bag of cat food?
Answer:
A pound of cat food will weigh 6.5 pounds
Step-by-step explanation:
Firstly, we need to get the value of x. Thus, let’s solve the equation at hand;
x + 3x/2 = 32.5
x + 1.5x = 32.5
2.5x = 32.5
x = 32.5/2.5
x = 13
Now from the question, we are made to know that a pound of cat food measures half of what a pound of dog food measures
Since we calculate a pound of dog food to weigh 13 pounds, a pound of cat food will weigh = 13/2 = 6.5 pounds
Which line segment shows the hight that corresponds to the given base of the triangle
A
B
C
Answer:
The answer should be A.
Step-by-step explanation:
-The answer should be A, because the height has to be perpendicular to the base of the triangle and according to the following problem, line A shows the height of the triangle.
Find the surface area of the sphere shown below.
Answer:
I'd help you if you gave me the radius or the picture or the diameter...
Step-by-step explanation:
ABC is an isoscles triangle. Angle A = 40°.
Find measure of Angle B.
40
70
75
180
Answer:
70 degrees
Step-by-step explanation:
total angle in a triangle is 180 degrees
180-40= 140
Angle b and c is total of 140 degrees
they are isosceles so their measurements would be same.
angle b and c is 140÷ 2 = 70
so angle b is 70 degrees
Find the unit rate.
48 cupcakes in 6 boxes=cupcakes per box
Answer:
[tex]\frac{8 cupcakes}{1 box}[/tex]
Step-by-step explanation:
All we have to do for this problem is divide.
48 / 6 = 8
There are 8 cupcakes per box.
Answer: 8 cupcakes per box
Step-by-step explanation: "Per box" means in 1 box, so we can rewrite the given statement using fractions as
48 cupcakes/6 boxes = __ cupcakes/1 box.
To find out what goes in the blank, notice that we
have a 1 in the denominator of our second fraction.
So we want to find a fraction that is equivalent
to 48/6 that has a 1 in the denominator.
If we divide the numerator and denominator of 48/6 by 6,
we get the equivalent fraction 8/1 or 8 cupcakes/1 box.
So now we have 8 cupcakes/1 box = __cupcakes/1 box.
So an 8 must go in the blank which means that the unit rate
for 48 cupcakes in 6 boxes is 8 cupcakes per box.
Find the area of the trapezoid.
12
8
6
Answer:
The area of the trapezoid:
A = (base1 + base2) x height/2
= (6 + 12) x 8/2
= 18 x 4
= 72
Hope this helps!
:)
2(2x - 1) = 10 i neeed help plz
Step-by-step explanation:
Here is the solution,mate. ☺️
Answer:
[tex]x = 3[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
True / False
The square of 2.8 is 78.4
(step by step explanation)
answer fastly
The answer is false.
The square of 2.8 is actually 7.83999 or 7.84 if rounded.
To get this, we simply bring 2.8 to the power of 2.
2.8 x 2.8 = 7.8399
Therefore, the answer would be false since the actual square of 2.8 is 7.84
An ice cream parlor donated 6 containers of ice cream to a local elementary school. Each container holds 3 gallons of ice cream. If each student is served 1 cup of ice cream, how many students can be served?
Answer:
288 students can be served
Step-by-step explanation:
Looking at the donation made by the ice cream parlor, we want to know the number of students to be served.
We need to achieve a consistency in units first. What I mean by this is that all our units must be the same.
The parlor donated 6 containers with each container holding 3 gallons. The amount donated is thus 3 * 6 = 18 gallons of ice cream
Mathematically, there are 16 cups in a gallon. Thus, the amount of cups donated by the parlor would be 16 * 18 = 288 cups
Now since 1 student takes 1 cup of ice cream, the number of students that the donation can serve is 288/1 = 288 students
pls help w work!!!!!!!
Answer:
A: 55.5
Hoped this helped you! Please mark me brainiest if I am correct!
whats 2+2 please fneviuqba
Answer:
4
Step-by-step explanation:
two plus two equals four
Answer:
4
Step-by-step explanation:
1+1+1+1=4
2+2=4
2*2=4
PLEASE HELP THIS IS SUPER URGENT
Answer:
13344yhgf567yf4edbui
Answer:
Choice: E
Step-by-step explanation:
Trust me
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Step 1) Divide the figure into shapes
Large rectangle: 5 x 12
Smaller rectangle: 4 x 6
Square: 2 x 2
Triangle: 4 x 3
Step 2) Find the area of each shapes
Large rectangle: A = 5 x 12 = 60
Smaller rectangle: A = 4 x 6 = 24
Square: A = 2 x 2 = 4
Triangle: A = 1/2 x 4 x 3 = 6
Step 3) Add all of the areas together
A = 60 + 24 + 4 + 6 = 94 square miles
Hope this helps! :)