Answer:
Factorize, then divide the common factors.
Step-by-step explanation:
A rational expression is one that involves the division of two polynomials. The two polynomial having the same variable in each expression.
To simplify a rational expression, the first thing to do is to factorize each expression. This would ensure that there exist a common factor between the numerator and denominator.
Then you can divide by the common factor.
The remaining expressions in the quotient would have been reduced to their simplest form.
Unit 11 Homework 1: Area of Plane Figures
Answer: 4. 432 cm^2/2 = 216 cm^2
6. 309.76 mm^2
8. pi * 22^2 = 484pi (or, approximately 1,519.76) in^2
484/2 = 242pi or 759.88 in^2.
10. 297.84 in^2/2 = 148.92 in^2
Step-by-step explanation:
To find the area of a triangle, you take the base and multiply by the height, and then divide by 2. Hence giving me the answers I obtained in #4 and #10.
A square is equal on all sides, so you would just square the measurement of the one side.
To find the area of a circle, you would do pi times the radius^2. Since this is a semicircle, you actually should divide the number you got by 2. (Which is why I did so up above).
Answer: There’s nothing
Step-by-step explanation:
A χ2 goodness-of-fit test was used to test the hypothesis that students at a local university select majors in the same proportions as other universities in the state. A chi-square test statistic of χ2=45.6 was calculated with a corresponding p-value of 0.005. Which of the following is correct?
There is sufficient evidence to conclude that students at the local university do not select majors in the same proportions as do students in the rest of the state.
There is sufficient evidence to conclude that students at the local university do not select majors in the same proportions as do students in the rest of the state.
A
There is sufficient evidence to conclude that students at the local university select majors in the same proportions as do students in the rest of the state.
There is sufficient evidence to conclude that students at the local university select majors in the same proportions as do students in the rest of the state.
B
There is insufficient evidence to conclude that students at the local university do not select majors in the same proportions as do students in the rest of the state.
There is insufficient evidence to conclude that students at the local university do not select majors in the same proportions as do students in the rest of the state.
C
There is insufficient evidence to conclude that students at the local university select majors in the same proportions as do students in the rest of the state.
There is insufficient evidence to conclude that students at the local university select majors in the same proportions as do students in the rest of the state.
D
Students at the local university select majors in the same proportions as do students in the rest of the state.
Answer: A. There is sufficient evidence to conclude that students at the local university do not select majors in the same proportions as do students in the rest of the state.
Step-by-step explanation:
2x+5+(6x+1)
Help please.
Answer:
14x
Step-by-step explanation:
The (6x+1) = 7 and the other equation also equals 7 so you add together and just ad the x variable since there is no answer
Which of the following is equivalent to the expression?
Answer:
I did not understand your question.
But the answer is 40.0625
Answer:
we add the powers to have 4-6 =-2
4 to power -2 which gives 0.0625
What is the smallest number of people you need for
the probability to be 100 percent that at least two of
them were born in the same month?
PLEASE HELP!!!!!!!! GIVING BRAINLIEST, FIVE STAR RATING, AND A SHOUTOUT FOR MY NEXT QUESTION.
errrr.... the shoutout for this one is for purpl!
Answer:
the answer is 12 inches long
pls help with this, 6.09 Graded Assignment: Basic Geometric Shapes - Part 2
Answer:
Start: x = 141°
141° and x are alternate interior angles and congruent because the lines are parallel
Go left: x = 39°
39° and x are corresponding angles, and therefore congruent
Go down: x = 139°
180 - 41 = 139, the angle next to 41 and x are corresponding angles
Go left: x = 98°
180 - 82 = 98, the angle next to 82 and x are corresponding angles
Go down: x = 102°
102° and x are vertical angles and therefore congruent
Go right: x = 50°
180 - 130 = 50, the angle next to 130 and x are corresponding angles
Go down: x = 74°
corresponding angles
Go right: x = 83°
corresponding angles
Go right: x = 95°
corresponding angles
Go up: x = 18°
corresponding angles
Go left: x = 166°
180 - 14 = 166, consecutive interior angles are supplementary (I'm confused? none of the answers have it but they're definitely consecutive interior...)
I didn't get to finish but I'll attach something that may help you
help please i genuinely cant
Answer:
Part A: 3x + 36 = 180
Part B: x = 48
Step-by-step explanation:
A straight line is equal to 180 degrees. Knowing this, both 3x and 36 should be equal to 180. Write an equation:
3x + 36 = 180
Solve the equation:
3x + 36 = 180
Subtract 36 from both sides
3x = 144
Divide both sides by 3 to isolate the variable
x = 48
Check your work:
3(48) + 36 = 180
144 + 36 = 180
180 = 180
Correct
Use the inequalities to answer the following question
Inequality 1: 2x + 7 < -3
Inequality 2: x – 8 + 3x < -4
Which of the following values make both inequalities TRUE? Select all that apply.
A.) 12
B.) 325
C.) –10
D.) 2/3
E.) –8.25
F.) -15/2
G.)–5
Answer:
C, E, and F
Explanation:
There are two ways to answer this question. First, you could simply input each answer into both equations to see which one works but that would take quite a long time.
A better way is to simply solve each equation for x.
You could rewrite
2x + 7 < -3
as
2x + 7 = -3
and solve:
Subtract 7 from both sides
[tex](2x + 7) -7 = (-3) - 7\\2x = -10[/tex]
Now divide both sides by 2
[tex]\frac{2x}{2} = \frac{-10}{2}\\x = -5[/tex]
Now we can simply replace the equals sign with the inequality
x < -5
Where you can run into trouble is if you have to multiply or divide by a negative number across the equation, you must flip the inequality sign. It's best to leave it there to remind you, but I switched it out just to show that it's no different than a typical algebraic equation.
Now, we know that x can be any value less than -5. Let's find out the same thing for the second equation:
[tex]x - 8 + 3x < -4\\(x + 3x) -8 < -4\\4x - 8 < -4\\(4x - 8) + 8 < (-4) + 8\\4x < 4\\\frac{4x}{4} < \frac{4}{4}\\x < 1[/tex]
Now we know that x must be less than 1 for the second equation. So, now we can choose the answers that are both less than -5 and less than 1.
These answers are:
C. -10
E. -8.24
and
F. -15/2 which is -7.5
NOTE: -5 is equal to but not less than -5 so G is not included.
Find the slope of the line represented
by the data below.
Answer:
slope = 3/4
Step-by-step explanation:
(=^w^=)
can do 7-4/-5--9
3/4 woof
The slope of the line represented by the given data points is 3/4.
To find the slope of the line represented by the given data points, we can use the formula for slope:
slope = (change in y) / (change in x)
Let's calculate the changes in y and x using the given data points:
Change in y:
From y = 4 to y = 16, there is an increase of 16 - 4 = 12.
Change in x:
From x = -9 to x = 7, there is an increase of 7 - (-9) = 16.
Now, we can calculate the slope using the formula:
slope = (change in y) / (change in x)
= 12 / 16
= 3 / 4
Therefore, the slope of the line represented by the given data points is 3/4.
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how do you find the percent of discount if the original price is $578 and the sale price is $78.76
Answer: 86%discount approx
Step-by-step explanation:
You need to think about how the original price (578) is 100% of the price and that the sale price (78) is just a percentage of that. To discover how much of that 100% the price 78 is, you can write the formula:
578:100=78:x
X=(78*100)/578
X=14 %
Once you know that 78 represents the 14% of the whole price (100%-578) you just have to subtract that amount from the whole to understand which percent of discount has been applied: 100-14 = 86%
Please help!
Find the surface area of a rectangular solid that is 2m by 340cm by 560cm
(100cm = 1m)
Help!!!!!! Which function is best represented by this graph
Answer:j
Step-by-step explanation:
Answer:
J
Step-by-step explanation:
helpppppppppppp pleaseeeeeeeeeeeeew
Answer:
volume of cylinder = πr^2h
=π (2)^2 * 5
= π* 4*5
= 20π unit^3
or
= 3.14* 4*5 = 62.8 unit^3
Which expression has a value of 252?
Step-by-step explanation:
6^3+6^2=216+36=252
25^2=625
hope that helps :)
Answer:
6^3 + 6^2
Step-by-step explanation:
6^3+6^2=216+36=252
25^2=625
625≠252
Hope this helps =]
(10x - 4)=20
Question: What value of x makes the equation true
Answer:
x = 10.4
Step-by-step explanation:
1. Multiply each side by 5 to remove it as a fraction
2. it cancels out on the left leaving 10x - 4 = 100
3. Add 4 to each side canceling it out on the left and leaving 10x = 104
4. Divide each side by 10 to get x by itself
5. 10x/100 = 104/10
6. x = 10.4
please help i need help
Answer:
78 I think
Step-by-step explanation:
simply look at the second and third wight see the pattern wich is 7.8 I think and subtract that from the first answer
help fast please i’m bad with math
Answer:
FALSE, TRUE, FALSE, FALSE
Step-by-step explanation:
pi/2>2 - FALSE
3pi>9 - TRUE
2pi-1<5 - FALSE
pi+8<11 - FALSE
if the square is directly proportional to w and z =4 when w =8
Answer:
when you calculate the value of w is z= 5
Step-by-step explanation:
2 friends equally share 5 cookies. How many cookies
does each friend get?
They both get 2 and 1/2 of a cookie!
Answer:
2 1/2
Step-by-step explanation:
The only way for the friends to get an equal amount is to split one of the cookies in half. or 5 divided by 2= 2 1/2
When Ricardo was 9 years old, he was 56 inches tall. By age 12, he had increased his
height by 12%. How tall is he now?
Answer:
He is 62.72 inches tall now
Step-by-step explanation:
the twelve over 100 is the percentage, he increased by 12 percent. and the x over 56 is the new value (x) over the old value. We get 6.72 so we add that to 56 to get 62.72.
12 = 0.005 X W
Solve the equation
Answer: look at the picture
Step-by-step explanation: Hope this help :D
4n = 2n+6 I really need help
What is one way to name the object pictured below?
A Z Y
B. YZ
c. Y Z
D. ZY
A chemist has 30% and 40% solutions of acid available. How many liters of each solution should be mixed to obtain 65 liters of 32% acid solution?
liters of 30% acid
liters of 40% acid
Answer:
30 = 80 %
40= 20 %
Step-by-step explanation
I'm sorry for not writing how to do it but it's something like if 30 = 100 then if we had 40 occupying 20 percent of that acid then we will get 32 percent
The number of liters of each solution should be mixed to obtain 65 liters of 32% acid solution is 52 liters and 13 liters respectively.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Let x be 30% solution of acid and y be 40% solution of acid.
Total quantity of solution is 65 liters.
Now, x+y=65 ----------(i)
Number of liters of solution should be mixed to obtain 65 liters of 32% acid solution.
So, the equation is 30% of x+40% of y=32% of 65
0.30x+0.40y=0.32×65
0.30x+0.40y=20.8 ----------(ii)
From equation (i), x=65-y
Substitute x=65-y in equation (ii), we get
0.30(65-y)+0.40y=20.8
19.5-0.30y+0.40y=20.8
0.10y=20.8-19.5
0.10y=1.3
y=1.3/0.1
y=13
Substitute y=13 in equation (i), we get x=52
Therefore, the number of liters of each solution should be mixed to obtain 65 liters of 32% acid solution is 52 liters and 13 liters respectively.
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Somebody please help me. This is geometry. The goal is to find the missing side with A similarity statement. But the more I try on this, it becomes more confusing. Please help. Thx.
Answer:
50Step-by-step explanation:
Given:
qrst ~ nkpmThe ratio of corresponding sides (consider the order of letters in the name of figures):
rs/ kp = qt / nmrs / 35 = 60 / 42rs = 35*60/42rs = 50Answer:
Solution given:
qrst~nkpm
since the side of similar quadrilateral are proportional so
qt/mn=rs/kp
60/42=?/35
?=60/42×35=50
missing side =50 is your answer
You are standing 6 feet away from the stage and your friend is standing 7 feet away from the stage.
Answer:
Step-by-step explanation:
Yo diría que Messi
Mr. Nelson sold a car for $1,380 that cost
him $1,500. What was his percent of loss
based on the cost?
Answer:
The loss is $120 and the loss percentage is 8%.
Step-by-step explanation:
Given that,
SP of a car = $1,380
CP of a car = $1,500
As CP > SP, it means there is a loss in selling of that car.
Loss = CP - SP
= $1,500 - $1,380
= $120
Loss percentage,
[tex]\%=\dfrac{loss}{CP}\times 100\\\\=\dfrac{120}{1500}\times 100\\\\=8\%[/tex]
Hence, the loss is $120 and the loss percentage is 8%.
Which step in the proof has a flow?
1.Statement 2
2.Reason 3
3.statement 3
4.Reason 2
Answer:
Reason 2
Step-by-step explanation:
The reason should be transitive property( if a=b and b=c then a=c) not reflective property.
The hypotenuse in this 45-45-90 triangle is given. How would you find the length of a leg
of the triangle?
8 V2
45degrees
Answer:
The length of the legs of the triangle is 8 units.
Step-by-step explanation:
45-45-90 triangle
A 45-45-90 triangle is a special case of a right triangle in which both legs l have the same value and the hypothenuse is h. By the Pythagorean Theorem:
[tex]2l^2 = h^2[/tex]
Hypothenuse of 8 V2
This means that [tex]h = 8\sqrt{2}[/tex]
So
[tex]2l^2 = h^2[/tex]
[tex]2l^2 = (8\sqrt{2})^2[/tex]
[tex]2l^2 = 64*2[/tex]
[tex]l^2 = 64[/tex]
[tex]l = \sqrt{64}[/tex]
[tex]l = 8[/tex]
The length of the legs of the triangle is 8 units.