Answer:
Answer: D. 2(V[x} + V{x - 2}) Step-by-step explanation: As hinted in the question, we have to simplify the denominator. To understand it easier, let's imagine we have x - y in the denominator. If we multiply it with x + y we'll get x? - y, right? Check the next line: (x - y) (x + y) = x² + xy -xy - y? = x² - y? If we have the square of those nasty square roots, it will be much simpler to deal with. So, let's multiply the initial fraction using x+y, but with the real values: 4 x-2 x+Vx-2 x-2 4(Va+v-2) (V#)² -(væ–2)² Then we simplify: 4(va+væ-2) 4(Va+va-2) (Væ)2-(Va-2)2 2(Va + Va – 2) 4(va+va-2) (x) -(x-2) 2 Answer is D. 2(V{X} + v{x - 2})
8.
Find the distance between points A and B, if Ais (-1,-2) and B is (8,10).
Answer:
15 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = A(- 1, - 2) and (x₂, y₂ ) = B(8, 10)
d = [tex]\sqrt{(8+1)^2}+(10+2)^2[/tex]
= [tex]\sqrt{9^2+12^2}[/tex]
= [tex]\sqrt{81+144}[/tex]
= [tex]\sqrt{225}[/tex]
= 15
Every issue of Maureen's favorite comic book has 4 pages of ads. The remaining pages contain the story.
Let p represent the total number of pages in a comic book and s represent the number of story pages.
Answer:
number of pages with ads = 4
total number of pages = p
number of story pages = s
Answer is 4 - p = s
Given the following set of data, what is the variance? [2 6 8 3 7 9 1 4]
A. 40
B. 5
C. 2.74
D. 7.5
The variance of the set { 2 , 6 , 8 , 3 , 7 , 9 , 1 , 4 } is 7.5
What is Variance?
Variance is the expectation of the squared deviation of a random variable from its population mean or sample mean. Variance is a measure of dispersion, meaning it is a measure of how far a set of numbers is spread out from their average value
Given data ,
The set S = { 2 , 6 , 8 , 3 , 7 , 9 , 1 , 4 }
Step 1 :
To calculate the mean ,
Mean = Sum of Observations / Number of Observations
= ( 2 + 6 + 8 + 3 + 7 + 9 + 1 + 4 ) / 8
= 40 / 8
= 5
Step 2 :
Take each difference from mean and square it
( 2 - 5 )² = 9
( 6 - 5 )² = 1
( 8 - 5 )² = 9
( 3 - 5 )² = 4
( 7 - 5)² = 4
( 9 - 5 )² = 16
( 1 - 5 )² = 16
( 4 - 5 )² = 1
And Sum of 9 + 1 + 9 + 4 + 4 + 16 + 16 + 1 = 60
Step 3 :
Variance = The mean of squared difference
= 60 / 8
= 7.5
Hence , the variance is 7.5
To learn more about variance click :
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Jade has $100 to spend on shoes and socks.She buys a pair of shoes for $75 and and wants to spend the rest of the money on socks.Each pair of socks costs $3.50. What is the greatest number of pairs of socks that jade can buy
Answer:
21.5
Step-by-step explanation:
Sales tax is 7.25%. If Liz buys the game system for $245.65, how much will Liz spend altogether?
Unmute your mic and "meow" to show that you need to round to the nearest cent.
John is cutting a 10-foot long piece of pipe into lengths of 2/3 foot. How many pieces of pipe with this length can he cut? * Will give brainliest
Answer:
2.5
Step-by-step explanation:
you do 10 divided by 2/3
I need some help please
Answer:
its b 2i/5
Step-by-step explanation:
3x-10=-25
Solve
NEED HRLP ASAP
Answer:
the answer is -5
Step-by-step explanation:
Answer:
x=-5
Step-by-step explanation:
trust
Two sides of a rectangle differ by 3.5cm.Find the dimensions of the rectangle if its perimeter is 67cm.
the answer should contain step by step and understandable explanation.
Answer:
Sides are x and x + 3.5 cm
Perimeter = 2(x + (x + 3.5))cm
4x +7 = 67
x = 15cm Answer
Step-by-step explanation:
HOPE THIS HELPED!
The formula for the volume of a rectangle prism is V=lwh. Anna wants to make a cardboard box with a length of 7 inches, a width of 5 inches, and a volume of 210 cubic inches. Which variable does Anna need to solve for in order to build her box?
What does is equivalent to 3 5/6?
Answer:
equivalent fractions of 3/5 are 6/10, 9/15 and 12/20.
Step-by-step explanation:
hope this helped! have a good day<3
I DONT UNDERSTAND PLZZZ HELP
Answer:
PLZ MARK BRAINLIEST THE ANSWER IS 9
Step-by-step explanation:
the MPH is 45 miles per hour, 45 divided by 60=0.75. 0.75x12=9
evaluate f (x) = -4x + 7 when x = 2 and x = -2
Answer:
- 1 and 15
Step-by-step explanation:
Substitute x = 2 and x = - 2 into f(x)
f(2) = - 4(2) + 7 = - 8 + 7 = - 1
f(- 2) = - 4(- 2) + 7 = 8 + 7 = 15
2 3/4 divided by 1 1/2
Answer:
1/2
Step-by-step explanation:
Answer:
1 5/6
Step-by-step explanation:
[BRAINLIEST] To manufacture an automobile requires painting, drying, and polishing. Epsilon Motor Company produces three types of cars, the Delta, the Beta, and the Sigma. Each Delta requires hours for painting, hours for drying, and hours for polishing. A Beta requires hours for painting, hours for drying, and hours for polishing, and a Sigma requires hours for painting, for drying, and for polishing. If the company has hours for painting, hours for drying, and hours for polishing per month, how many of each type of car are produced?
Answer:
The company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.
Step-by-step explanation:
let in the motor company x number of delta cars, y number of beta cars and z number of sigma cars are manufactured.
from the condition given in the question we can write
9x + 13y + 9z = 257 ........ (1)
4x + 6y + 4z = 116 ........... (2) and
3x + 4y + z = 59 ......... (3)
From equation (2) we get
9x + 13.5y + 9z = 261 ....... (4) {Multiplying with both sides}
solving equations (1) and (4) we get
0.5y = 4
and ⇒ y = 8.
from equation (2) putting the value of y we get,
4x + 4z = 116 - 48 = 68
⇒x + z = 17 .....(5)
Now, from equation (3) putting y = 8 we get,
3x + z = 59 - 32 = 27 ....... (6)
hence, solving equations (5) and (6) we get, 17 - x = 27 - 3x
⇒ 2x = 10
⇒ x = 5
So, z = 17 - x = 12
therefore, the company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.
can someone help me and explain the equation
Answer:
Jason would have to work 60 hours.
Step-by-step explanation:
The equation you would use would be 450 + 12.50t = 1200.
1200 is the money needed, 450 is a constant factor, but the 12.50 changes depending on how many hours Jason works.
You will have to use inverse operations so you would go 450 + 12.50t - 450 = 1200 - 450. That equals 12.50t = 750. Then you divide 12.50 by 750 because 12.50t is multiplying. 750 ÷ 12.5 = 60. So Jason has to work 60 hours!
If this helped I would appreciate it if you marked me Brainliest. thank you and have a nice day!
A cubical wooden block of length 12 cm is cut into 8 equal cubical pieces. Find the length of edge of each piece.
Answer:
6cm
Step-by-step explanation:
volume of a cubical wooden block
= 12×12×12
= 1728
volume of cubical pieces
= 1728÷8
= 216
length of edge of piece
= square root of 216
= 6cm
Twelve times a number increased by 6
Answer:
12 x n + 6
Step-by-step explanation:
n = unknown number
HELP PLEASE I BEG U I DONT WANNA FAIL
Answer:
The second one
Step-by-step explanation:
A function is a group of ordered pairs that do not have the same ordered pair. The second one has 2 fives in the x coordinate, therefore the second one is not a function
PLEASE HELP I NEED THIS TODAY!!
Answer:
25[tex]\pi[/tex]
Step-by-step explanation:
the area of circle formula: [tex]\pi r^{2}[/tex]
And the radius is 5, so 5^2= 25
Thus, the answer is 25[tex]\pi[/tex]
Answer:
78.5
Step-by-step explanation:
π[tex]r^{2}[/tex] = APlug in our numbers: 3.14 × [tex]5^{2}[/tex] [tex]5^{2} = 25[/tex] 3.14 × 25 = 78.5I hope this helps!
what is the equation of the line in slope intercept form
Answer:
y=x+20
Step-by-step explanation:
What is the measure of ZB?
20
25
O A. 60
B. 25°
O C. Cannot be determined
D. 75°
A. 60
Step-by-step explanation:
ZA + ZB + ZC = 180°
180° ÷ 3 = 60°
given:a || b m<2=3x+20 m<7=2x-10 find:m<3, m<6
Answer:
3(34) + 20 -> Angle 6 = 122
2(34) - 10 -> Angle 3 = 58
Step-by-step explanation:
Since measure of angle 2 is equal to measure of angle 6, and measure of angle 7 is equal to measure of angle 3, we can determine the angle measures for angle 3 and angle 6.
First, we solve for x by adding together the two equations and setting it equal to 180 because of the supplementary angles theorem.
3x + 20 + 2x - 10 = 180
Combine like terms.
5x + 10 = 180
Subtract 10, then divide by 5 on both sides.
5x = 170
x = 34
Now we can plug the x value into the equations.
3(34) + 20 -> Angle 6 = 122
2(34) - 10 -> Angle 3 = 58
#teamtrees #WAP (Water And Plant)
Answer: 48=19 X 2
Step-by-step explanation:
its allin the math
Find the quotient. 6 1/2 divided by 3 2/3
Answer:
Multiply both numbers by 10 and create a fraction. Then simplify that fraction by dividing both top and bottom by the greatest common factor.
Step-by-step explanation:
Treating 3 1/2 as 3.5 you could set up the fraction as such.
3.5 x 10 = 35
21 x 10 = 210
so you have the fraction 35/210. The GCF of the top and bottom is 35. There is one 35 in 35 and six 35s in 210
So the fraction in the simplest form is 1/6. So the quotient is 1/6.
plz answer its due today!!
Answer:
-5/8
Step-by-step explanation:
Prime numbers up to 30
Answer:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29
Step-by-step explanation:
Answer:
2, 3, 5, 7, 11, 13, 17, 19, 23 and 29!
Step-by-step explanation:
please help. i would rly appreciate it. :/
Please i need help whats 1/5x - 2 = 4
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[tex] \frac{1}{5} x - 2= 4 \\ [/tex]
Add sides 2
[tex] \frac{1}{5} x - 2 + 2 = 4 + 2 \\ [/tex]
[tex] \frac{1}{5} x = 6 \\ [/tex]
Multiply sides by 5
[tex]5 \times \frac{1}{5} x = 5 \times 6 \\ [/tex]
[tex]x = 30[/tex]
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[tex] \frac{1}{5x} - 2 = 4 \\ [/tex]
Add sides 2
[tex] \frac{1}{5x} - 2 + 2 = 4 + 2 \\ [/tex]
[tex] \frac{1}{5x} = 6 \\ [/tex]
Inverse both sides
[tex]5x = \frac{1}{6} \\ [/tex]
Divide sides by 5
[tex] \frac{5x}{5} = \frac{1}{6} \div 5 \\ [/tex]
[tex]x = \frac{1}{6} \times \frac{1}{5} \\ [/tex]
[tex]x = \frac{1}{30} \\ [/tex]
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Answer:
x=1/3
Step-by-step explanation:
There are four defenders on a soccer team, if this represents 20 percent of the players on the team, which equation
can be used to find the total number of players on the team?
0.1
4x20 RO
100x 20" 200
20x25 500
20-5
4
Answer:
20% = 4 people
100% = 20 people
Step-by-step explanation:
There are a total of 20 players on the soccer team.
Plz help me am dam at math I will gave Brainliest
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[tex]volume = 8 \times 7 \times \frac{1}{2} \\ [/tex]
[tex]volume = 8 \times \frac{1}{2} \times 7 \\ [/tex]
[tex]volume = \frac{8}{2} \times 7 \\ [/tex]
[tex]volume = 4 \times 7[/tex]
[tex]volume = 28 \: \: \: {m}^{3} [/tex]
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Answer:
28
Step-by-step explanation:
8 x 7 x 1/2
8 x 7 = 56
56 x 1/2 = 28