Answer:
1
Step-by-step explanation:
please help. Free the denominator of the fractionfrom irrationality:
[tex] \frac{2}{5 \sqrt{3} } [/tex]
[tex] \frac{ \sqrt{5 } + 2 }{ \sqrt{5} - 2} [/tex]
Answer:
see explanation
Step-by-step explanation:
Given
[tex]\frac{2}{5\sqrt{3} }[/tex]
To rationalise the denominator, multiply the numerator/ denominator by [tex]\sqrt{3}[/tex]
= [tex]\frac{2\sqrt{3} }{5\sqrt{3}(\sqrt{3}) }[/tex]
= [tex]\frac{2\sqrt{3} }{15}[/tex]
-----------------------------------------------------------------------
Given
[tex]\frac{\sqrt{5}+2 }{\sqrt{5}-2 }[/tex]
Multiply the numerator/ denominator by the conjugate of the denominator.
The conjugate of [tex]\sqrt{5}[/tex] - 2 is [tex]\sqrt{5}[/tex] + 2 , then
= [tex]\frac{(\sqrt{5}+2)(\sqrt{5}+2) }{(\sqrt{5}-2)(\sqrt{5}+2) }[/tex] ← expand numerator/denominator using FOIL
= [tex]\frac{5+4\sqrt{5}+4 }{5-4}[/tex]
= [tex]\frac{9+4\sqrt{5} }{1}[/tex]
= 9 + 4[tex]\sqrt{5}[/tex]
can someone help me with this
2x+4y+3z=6
x-2y+z=-5
-x-3y-2z=-7
solve for x,y,z
Answer:
x = -7 2/3, y = 1 1/3 and z = 5 1/3.
Step-by-step explanation:
2x+4y+3z=6 ..... 1
x-2y+z=-5 ...... 2
-x-3y-2z=-7 .......3
Add equations 2 and 3 to eliminate x:
-5y - z = -12 .....4
Multiply equation 2 by - 2:
-2x + 4y - 2z = 10
Add this to equation 1:
8y + z = 16 ........ 5
Now add equation 4 to equation 5:
3y = 4
y = 4/3 = 1 1/3.
Now find z by substituting for y in equation 4:
-5(4/3) - z = -12
z = 12 - 20/3
z = 36/3 - 20/3 = 16/3 = 5 1/3.
Finally, we find x by substituting for y and z in equation 1:
2x + 4*4/3 + 3*16/3 = 6
2x = 6 - 16/3 - 16
2x = 18/3 - 16/3 - 48/3 = -46/3
x = 23/3 = 7 2/3.
Which of the following is equal to the expression listed below?
24 + 18
A.
6 + (4 × 3)
B.
6(4 + 3)
C.
(6 + 4)(6 + 3)
D.
(6 × 4)(6 × 3)
Answer:
B
Step-by-step explanation:
Its not (A) because the outcome is 24 x 18
Its not (C) because that would be (10)(9) which is the same as multiplication
Its not (D) because that would be (24)(18) which again is multiplication
We are looking for addition of 24 and 18 which is B
6 x 4= 24
6 x 3=18
24+18
Hope this helps (:
Which expression represents “7 more than x” 7+x x-7
x÷7 7x
Answer:
7+x
Step-by-step explanation:
this could also be written as “x + 7” and it means 7 more than (+) x
Answer:
It is 7+x (✿◠‿◠)
17+7j=87
What does j equal???????
Answer:
j=10
Step-by-step explanation:
17+7j=87
7j=70
j=10
Simplify 9 to the 2nd power\ 9 to the 7th power
Answer:
9^2/9^7 = 9^-5
Step-by-step explanation:
How can you graphically tell if a quadratic equation will have a complex solution?
Answer:
If it does not cross the x axis.
Step-by-step explanation:
If the quadratic equation does not cross the x axis (or more specifically, if the quadratic is an upward opening parabola and the vertex is above the x axis, or if the quadratic is a downward opening parabola and the vertex is below the x axis), it will have no real solution
The fundamental theorem of algebra says that quadratics must have 2 solutions, so the solutions must be imaginary.
Jane's garden is 3.4 meters by 6.5 meters. If fencing costs $2.25 per meter, how much will it cost to put fence around her garden?
$49.73
because you would multiply the length and width of the fence then multiply by the price.
3.4 x 6.5 = 22.1
22.1 x 2.25 = 49.725
but you would round because you are dealing with money
-7+0.3(-4x+20)+8.8x simplified
-(x-7) + (5/3) = 2(x+9) wht does x equal
Answer:
-28/3=x
Step-by-step explanation:
-(x-7) + (5/3) = 2(x+9)
-x+7+5/3=2x+18
7+5/3=2x+18-x
7+5/3=x+18
5/3=x+18-7
5/3=x+11
5/3-11=x
Ahora todo se pasa a base 3
[tex]\frac{5-33}{3}[/tex]=x
-28/3=x
(8x + 6) ° = ___°
8x =
x =
Answer:
7°
Step-by-step explanation:
(8x+6)°=62°
8x=62°-6°
8x= 56°
X=(56/8)
X==7°
It cost Samantha $4.23 to send 47 text messages. How much does each text cost to send?
Answer:
456
Step-by-step explanation:
Answer:
i think its 0.09
Step-by-step explanation:
Olivia and her family are planning a vacation that involves water skiing. Water Sports and More charges $20.50 for the ski rental (one-time fee) and $12.25 an hour to rent the boat.
Complete the table to determine the total cost for 1, 2, 3, and 4 hours.
Answer:
Step-by-step explanation:
Let the number of hours used to rent the boat be represented by h.
Since Water Sports and More charges $20.50 for the ski rental (one-time fee) and $12.25 for every hour used, the expression to calculate the cost for hours used will be:
= $20.50 + $12.25h
where h = number of hours used.
The cost for 1 hour will be:
= $20.50 + $12.25h
= $20.50 + $12.25(1)
= $20.50 + $12.25
= $32.75
The cost for 2 hours will be:
= $20.50 + $12.25(2)
= $20.50 + $24.50
= $45
The cost for 3 hours will be:
= $20.50 + $12.25h
= $20.50 + $12.25(3)
= $20.50 + $36.75
= $57.25
The cost for 4 hours will be:
= $20.50 + $12.25h
= $20.50 + $12.25(4)
= $20.50 + $49
= $69.50
=
pleaseeeeeeeeeeeeeeeee solve this
Answer:
360 degrees
Step-by-step explanation:
We know that the sum of all the (ordered) exterior angles of any polygon is 360 degrees. As shown in the figure that, x,y and z recognise themselves as the exterior angles of the given triangles, their sum will be 360 degrees as well.
Robert is moving and must rent a truck. In addition to an initial fee, the rental company charges a fee of $1.50 per mile driven. If Robert were to drive 4 miles, the total cost would be $26. Write an equation for C,C, in terms of m,m, representing the total cost of renting the truck if Robert were to drive mm miles.
Answer: C = $20 + $1.50(m)
Step-by-step explanation:
Let the initial fee be represented as y.
Based on the question, the rental initial fee will be calculated as:
y + $1.50(4) = $26
y + $6 = $26
y = $26 - $6
Initial fee = $20
If Robert were to drive m miles, the cost will be:
C = $20 + $1.50(m)
If ∠1 and ∠2 are complementary, m∠1 = (8x-6)°, and m∠2 = (14x+8)°
URGENT PLEASE HELP
Answer:
D
Step-by-step explanation:
Whoever gets correct answer gets marked brainliest!! Please answer asap!
Use the graphs of f and r to describe the transformation from the graph of f to the graph of r
f(x)=2/3x+1
r(x)=3f(x)
Answer: vertical stretch by 3
Step-by-step explanation:
when g(x) = a*f(x), the graph of g(x) is vertically stretched by a
help I will gvie brainiest
Shelly runs 2.5 miles in 18 minutes. What is her mile time in minutes?
Shelly runs 2.5 miles every 18 mins. To find out how many minutes it takes her to run one mile, let's divide 18 by 2.5
18 mins / 2.5 miles = 7.2 mins / mile
A triangle has the vertices A (-2, 4), B (-2,-2), and C (2,-2). If the triangle undergoes a dilation and has new vertices A' (-1, 2), B'(-1,-1), and C' (1, -1), what is the scale factor?
A) 1/2
B) -1/2
C) 2
D) -2
Answer: Its A
Step-by-step explanation:
Choose the correct written expression for: 25 – (3 x 4).
Answer:
13
Step-by-step explanation:
Answer:
25 minus the product of 3 and 4.
Step-by-step explanation:
PEMDAS
and... I just took the test and it was correct answer.
Help I need help on this question
Answer:
1/3 is the y intercept
Step-by-step explanation:
f(x) = -2/9x + 1/3
This is written in slope intercept form
y = mx+b where m is the slope and b is the y intercept
-2/9 is the slope and 1/3 is the y intercept
What is the simplified expression for
44 • 43 45
Answer:
D
Step-by-step explanation:
the simplified version is 16 I'm not sure tho.
: Susan works as a hostess where she makes $8.75 per hour. She also babysits and earns $10.00 per hour. Last week she made $165.00. If she worked 6 hours more as a hostess than she did babysitting, how many hours did she babysit last week?
Answer:
She worked 12 hours as a babysitter and hours 6 as a hostess
Step-by-step explanation:
She woks 6 hours and gets 52.20 as a hostess so if she worked 6 hours as a babysitter then she would make 60 and 165-60=105 and since she worked 6 hours as a baby sitter than she has to work 12 hours as a hostess to make 105 we know that 105+60 =165. Forgive me if I'm wrong but I hope this helps! [creds: cosmicredstone1]
find the value of x - PLEASE HELP
I need to show my work -
Thank you!!
Answer:
360=297+(x-36)+25
360=297+25-36+x
360=286+x
360-286=x
74=x
Answer:
x = 74 degree
Step-by-step explanation:
All those angles must add up to 360 degrees:
360 degrees = (297 + x - 36 + 25) deg, or
360 = 297 - 36 + 25 + x, or
x = 74 degrees
what is 300 × = 120,000
there is nothing between the × and = cuz its asking me 300× what = 120,000.
The answer is 400
First, you must flip the equation.
[tex]120000[/tex] ÷ [tex]300[/tex] = ?
Then, you must simplify the equation.
[tex]1200[/tex] ÷ [tex]3[/tex] = ?
Finally, divide the two terms.
[tex]1200[/tex] ÷ [tex]3[/tex] = 400
The time that it takes a randomly selected job applicant to perform a certain task has a distribution that can be approximated by a normal distribution with a mean value of 110 sec and a standard deviation of 15 sec. The fastest 10% are to be given advanced training. What task times qualify individuals for such training? (Round the answer to one decimal place.) seconds or less
Answer:
The task times is [tex]x =90.77 \ s[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 110 \ sec[/tex]
The standard deviation is [tex]\sigma = 15 \ sec[/tex]
Generally the task times that qualify individuals for such training is mathematically represented as
[tex]P(X < x) = 0.10[/tex]
=> [tex]P(X < x) = P( \frac{X - \mu}{\sigma } < \frac{x - 110}{15} ) = 0.10[/tex]
Generally [tex]\frac{X - \mu}{\sigma } = Z (The \ standardized \ value \ of X )[/tex]
=> [tex]P(X < x) = P( Z < \frac{x - 110}{15} ) = 0.10[/tex]
Generally the z -score of 0.10 from the z-table is
[tex]z -score = -1.282[/tex]
So
[tex]\frac{x - 110}{15} = -1.282[/tex]
=> [tex]x =90.77 \ s[/tex]
Jody and her friends are playing a game in which the person who scores closest to zero points after three rounds wins! Jody's friend Robyn scored 5 points in the first round, lost 8 points in the second round, and scored 4 points in the third round. Jody scored 10 points in the first round and lost 4 points in the second round. What will Jody need to score in the third round to win the game? (3 points)
Answer:
Jody needs to lose the third round by 6 points to win the game.
Step-by-step explanation:
The rule of the game is the person who scores closest to zero points after three rounds win.
Robyn scored 5 points in the first round, lost 8 points in the second round, and scored 4 points in the third round.
So, total points for Robyn = 5-8+4=1
So, the magnitude of the closeness of Robyn's score from zero
=|1-0|=1
Jody scored 10 points in the first round and lost 4 points in the second round.
Let Jody score x point in the third round.
Total points for Jody= 10-4+x=6+x
So, the magnitude of the closeness of Jody's score from zero
=|6+x-0|=|6+x|
The condition for Jody to win the game is his points must be closer to zero than Robyn's points, i.e
|6+x|<1
Case 1: If [tex]x\geq -6[/tex],
6+x<1
[tex]\Rightarrow x<-5[/tex], which is not possible for this case.
Case 2: If [tex]x\leq -6[/tex],
-(6+x)<1
[tex]\Rightarrow x+6>1[/tex]
[tex]\Rightarrow x>-5[/tex]
For this case [tex]x= -6[/tex] is the only possibility.
So, Jody must score -6 in the third round to win the game. i.e Jody needs to lose the third round by 6 points.
1/8 divided by 2 3/4
Answer:
2 and 1/8
Step-by-step explanation:
Reduce fractions where possible.
Then your initial equation becomes 1/8 divied by 1/17.Applying the fractions formula for division, 1 17 over 8 and 1 then multiply those. Then simplfy.
[tex]\frac{1}{8}[/tex] divided by [tex]2\frac{3}{4}[/tex] is equal to [tex]\frac{1}{22}[/tex] we get by converting the mixed fraction to improper and divide them both.
The given expression is [tex]\frac{1}{8}[/tex] divided by [tex]2\frac{3}{4}[/tex].
Convert the mixed number [tex]2\frac{3}{4}[/tex] to an improper fraction.
[tex]2\frac{3}{4} = \frac{2 \times 4 + 3}{4}[/tex]
[tex]= \frac{11}{4}[/tex]
Now, we can rewrite the expression as:
[tex]\frac{1}{8} \div \frac{11}{4}[/tex]
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
[tex]\frac{1}{8} \times \frac{4}{11}[/tex]
Next, let's simplify the multiplication:
[tex]\frac{1 \times 4}{8 \times 11} = \frac{4}{88}[/tex]
We can further simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 4:
[tex]\frac{4}{88} = \frac{1}{22}[/tex]
Therefore,[tex]\frac{1}{8}[/tex] divided by [tex]2\frac{3}{4}[/tex] is equal to [tex]\frac{1}{22}[/tex].
To learn more on Fractions click:
https://brainly.com/question/10354322
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A freight train is traveling at an average rate of 45 miles per hour. Which equation represents the situation?the miles traveled.
m = 45h
h = 45m
m
Answer:
m=45
Step-by-step explanation:
I hour travels 45 minutes
Answer:
m=45h
Step-by-step explanation:
your welcome
The Newtown Telephone Company advertises that if you use their 10-10 service, you will always pay only 8¢ per minute, no matter where you call within the country. Its major rival, Tryus Telephone Company, charges only 2¢ per minute, but you must pay a 42¢ "connection fee" per call. (a) Create a cost equation for each telephone company where y is the total cost for each phone call (in cents), and X is the number of minutes the phone call lasts. Write a system of equations, Newtown Telephone Company y=0
please help quickly
Answer:
Kindly check explanation
Step-by-step explanation:
Given the information above :
A) Cost equation for Newton Telephone company :
y = 8x
Where x = number of minutes used
y = total cost for x minutes
Cost equation for Tryus telephone company :
y = connection fee + (fee per minute * number of minutes)
y = 42 + (2x)
Where x = number of minutes used
y = total cost for x minutes
Amount is in cent